{"id":83472,"date":"2026-07-25T23:50:30","date_gmt":"2026-07-25T15:50:30","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/83472.html"},"modified":"2026-07-25T23:50:30","modified_gmt":"2026-07-25T15:50:30","slug":"%e3%80%90mimo-%e7%a1%ac%e4%bb%b6%e6%8d%9f%e4%bc%a4-%e9%a2%84%e7%bc%96%e7%a0%81%e3%80%91%e8%9e%8d%e5%90%88%e9%a2%84%e7%bc%96%e7%a0%81%e4%b8%8e%e4%bc%98%e5%8c%96%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/83472.html","title":{"rendered":"\u3010mimo-\u786c\u4ef6\u635f\u4f24-\u9884\u7f16\u7801\u3011\u878d\u5408\u9884\u7f16\u7801\u4e0e\u4f18\u5316\u7b97\u6cd5 \u2014\u2014 \u4ece\u201c\u9009\u6700\u4f18\u201d\u5230\u201c\u52a0\u6743\u7ec4\u5408\u201d\u53ca\u4eff\u771f\u9a8c\u8bc1"},"content":{"rendered":"

\u7b2c\u4e5d\u8282：\u878d\u5408\u9884\u7f16\u7801\u4e0e\u4f18\u5316\u7b97\u6cd5 \u2014\u2014 \u4ece\u201c\u9009\u6700\u4f18\u201d\u5230\u201c\u52a0\u6743\u7ec4\u5408\u201d\u53ca\u4eff\u771f\u9a8c\u8bc1<\/h2>\n

\u672c\u7cfb\u5217\u7b2c\u4e5d\u8282，\u4e5f\u662f\u6700\u540e\u4e00\u8282，\u6211\u4eec\u5c06\u6700\u7ec8\u8fdb\u5165\u8bba\u6587\u7684\u6838\u5fc3\u521b\u65b0\u2014\u2014\u52a0\u6743\u878d\u5408\u9884\u7f16\u7801\u7684\u4f18\u5316\u7b97\u6cd5\u3002\u4ece\u95ee\u9898\u8f6c\u5316\u5230\u6743\u91cd\u6c42\u89e3，\u4ece\u7406\u8bba\u63a8\u5bfc\u5230\u4eff\u771f\u9a8c\u8bc1，\u6211\u4eec\u5c06\u5b8c\u6574\u8d70\u4e00\u904d\u8fd9\u4e2a\u6846\u67b6\u7684\u201c\u7075\u9b42\u201d\u6240\u5728\u3002 \u5bf9\u5e94\u8bba\u6587：\u201cMitigating Hardware Impairments in Multi-User Multi-Layer MIMO Systems via Weighted Fusion Precoding\u201d（Zixia Shang, IEEE CL 2026） \u8bba\u6587\u94fe\u63a5：https:\/\/ieeexplore.ieee.org\/abstract\/document\/11498349\/<\/p>\n

📌 \u5f15\u8a00：\u5f53\u201c\u9009\u62e9\u201d\u53d8\u6210\u201c\u7ec4\u5408\u201d<\/h3>\n

\u5728\u4e4b\u524d\u7684\u516b\u8282\u4e2d，\u6211\u4eec\u5b8c\u6210\u4e86\u4e09\u4ef6\u4e8b：<\/p>\n

  • \u8ba4\u8bc6\u4e86\u5404\u79cd\u9884\u7f16\u7801\u7b97\u6cd5：ZF\u3001MRT\u3001RZF\u3001BD\u3001SLNR\u3001WMMSE\u2014\u2014\u6bcf\u4e2a\u90fd\u662f\u7279\u5b9a\u573a\u666f\u4e0b\u7684\u201c\u5355\u9879\u51a0\u519b\u201d\u3002<\/li>\n
  • \u7406\u89e3\u4e86\u786c\u4ef6\u635f\u4f24\u7684\u6311\u6218：\u73b0\u5b9e\u4e2d\u7684\u786c\u4ef6\u4e0d\u5b8c\u7f8e\u5bfc\u81f4\u901f\u7387\u5b58\u5728\u786c\u4e0a\u9650，\u5355\u4e00\u7b97\u6cd5\u65e0\u6cd5\u5728\u6240\u6709\u6761\u4ef6\u4e0b\u4fdd\u6301\u6700\u4f18\u3002<\/li>\n
  • \u5efa\u7acb\u4e86\u7edf\u4e00\u7684\u7cfb\u7edf\u6a21\u578b：\u628a\u786c\u4ef6\u635f\u4f24\u3001\u5e72\u6270\u3001\u566a\u58f0\u5168\u90e8\u88c5\u8fdb\u4e00\u4e2a\u534f\u65b9\u5dee\u77e9\u9635，\u4e3a\u4f18\u5316\u63d0\u4f9b\u4e86\u6570\u5b66\u57fa\u7840\u3002<\/li>\n

    \u73b0\u5728，\u662f\u65f6\u5019\u628a\u6240\u6709\u8fd9\u4e9b\u4e32\u8d77\u6765\u4e86\u3002<\/p>\n

    \u8bba\u6587\u7684\u6838\u5fc3\u601d\u60f3\u5176\u5b9e\u53ea\u6709\u4e00\u53e5\u8bdd：\u4e0d\u91cd\u65b0\u53d1\u660e\u8f6e\u5b50，\u800c\u662f\u628a\u73b0\u6709\u7684\u8f6e\u5b50\u7ec4\u5408\u8d77\u6765\u3002<\/p>\n

    \u5177\u4f53\u6765\u8bf4，\u5c31\u662f\u53d6\u4e00\u7ec4\u73b0\u6210\u7684\u57fa\u9884\u7f16\u7801\u5668（ZF\u3001MRT\u3001RZF\u3001WMMSE \u7b49），\u7ed9\u6bcf\u4e2a\u5206\u914d\u4e00\u4e2a\u6743\u91cd，\u7136\u540e\u4f18\u5316\u8fd9\u4e9b\u6743\u91cd，\u4f7f\u52a0\u6743\u7ec4\u5408\u540e\u7684\u7cfb\u7edf\u6027\u80fd\u8fbe\u5230\u6700\u4f18\u3002<\/p>\n

    \u8fd9\u4e2a\u601d\u8def\u7684\u7f8e\u5999\u4e4b\u5904\u5728\u4e8e：\u5b83\u5c06\u4e00\u4e2a\u9ad8\u7ef4\u7684\u975e\u51f8\u9884\u7f16\u7801\u4f18\u5316\u95ee\u9898，\u8f6c\u5316\u4e3a\u4e00\u4e2a\u4f4e\u7ef4\u7684\u6743\u91cd\u4f18\u5316\u95ee\u9898\u3002\u6743\u91cd\u4e2a\u6570 <\/p>\n

    B<\/p>\n

    B<\/p>\n

    <\/span><\/span>B<\/span><\/span><\/span><\/span><\/span> \u901a\u5e38\u53ea\u6709 4 \u6216 5，\u8fdc\u5c0f\u4e8e\u9884\u7f16\u7801\u77e9\u9635\u4e2d\u7684\u5143\u7d20\u6570\u91cf\u3002<\/p>\n

    \u4eca\u5929，\u6211\u4eec\u5c31\u6765\u62c6\u89e3\u8fd9\u4e2a\u4f18\u5316\u7b97\u6cd5\u7684\u6bcf\u4e00\u6b65\u3002<\/p>\n

    \u4e00\u3001\u95ee\u9898\u8f6c\u5316：\u4ece\u201c\u4f18\u5316\u77e9\u9635\u201d\u5230\u201c\u4f18\u5316\u6743\u91cd\u201d<\/h3>\n

    1.1 \u539f\u59cb\u95ee\u9898\u7684\u56f0\u5883<\/h4>\n

    \u5728\u7b2c\u516b\u8282\u4e2d，\u6211\u4eec\u5b9a\u4e49\u4e86\u7cfb\u7edf\u7684\u4f18\u5316\u76ee\u6807：<\/p>\n

    <\/p>\n

    max<\/p>\n

    \u2061<\/p>\n

    {<\/p>\n

    V<\/p>\n

    i<\/p>\n

    ,<\/p>\n

    k<\/p>\n

    }<\/p>\n

    \u2211<\/p>\n

    i<\/p>\n

    =<\/p>\n

    1<\/p>\n

    I<\/p>\n

    \u2211<\/p>\n

    k<\/p>\n

    =<\/p>\n

    1<\/p>\n

    K<\/p>\n

    R<\/p>\n

    i<\/p>\n

    ,<\/p>\n

    k<\/p>\n

    s.t.<\/p>\n

    \u2211<\/p>\n

    i<\/p>\n

    ,<\/p>\n

    k<\/p>\n

    tr<\/p>\n

    (<\/p>\n

    V<\/p>\n

    i<\/p>\n

    ,<\/p>\n

    k<\/p>\n

    V<\/p>\n

    i<\/p>\n

    ,<\/p>\n

    k<\/p>\n

    H<\/p>\n

    )<\/p>\n

    \u2264<\/p>\n

    P<\/p>\n

    max<\/p>\n

    \u2061<\/p>\n

    \\\\max_{\\\\{\\\\mathbf{V}_{i,k}\\\\}} \\\\sum_{i=1}^{I} \\\\sum_{k=1}^{K} R_{i,k} \\\\quad \\\\text{s.t.} \\\\quad \\\\sum_{i,k} \\\\text{tr}(\\\\mathbf{V}_{i,k} \\\\mathbf{V}_{i,k}^H) \\\\leq P_{\\\\max} <\/p>\n

    <\/span><\/span><\/span>{<\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>}<\/span><\/span><\/span><\/span><\/span>max<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>i<\/span>=<\/span>1<\/span><\/span><\/span><\/span><\/span>\u2211<\/span><\/span><\/span><\/span>I<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>k<\/span>=<\/span>1<\/span><\/span><\/span><\/span><\/span>\u2211<\/span><\/span><\/span><\/span>K<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>R<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>s.t.<\/span><\/span><\/span><\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u2211<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>tr<\/span><\/span>(<\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>H<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>\u2264<\/span><\/span><\/span><\/span>P<\/span><\/span>m<\/span>a<\/span>x<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u8fd9\u4e2a\u95ee\u9898\u7684\u4f18\u5316\u53d8\u91cf\u662f\u6240\u6709\u7528\u6237\u6240\u6709\u5c42\u7684\u9884\u7f16\u7801\u77e9\u9635 <\/p>\n

    {<\/p>\n

    V<\/p>\n

    i<\/p>\n

    ,<\/p>\n

    k<\/p>\n

    }<\/p>\n

    \\\\{\\\\mathbf{V}_{i,k}\\\\}<\/p>\n

    <\/span><\/span>{<\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>}<\/span><\/span><\/span><\/span><\/span>\u3002\u5982\u679c <\/p>\n

    I<\/p>\n

    =<\/p>\n

    2<\/p>\n

    ,<\/p>\n

    K<\/p>\n

    =<\/p>\n

    2<\/p>\n

    ,<\/p>\n

    N<\/p>\n

    t<\/p>\n

    =<\/p>\n

    8<\/p>\n

    ,<\/p>\n

    d<\/p>\n

    =<\/p>\n

    2<\/p>\n

    I=2, K=2, N_t=8, d=2<\/p>\n

    <\/span><\/span>I<\/span><\/span>=<\/span><\/span><\/span><\/span>2<\/span>,<\/span><\/span>K<\/span><\/span>=<\/span><\/span><\/span><\/span>2<\/span>,<\/span><\/span>N<\/span><\/span>t<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>8<\/span>,<\/span><\/span>d<\/span><\/span>=<\/span><\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>，\u90a3\u4e48 <\/p>\n

    V<\/p>\n

    i<\/p>\n

    ,<\/p>\n

    k<\/p>\n

    \\\\mathbf{V}_{i,k}<\/p>\n

    <\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u603b\u5143\u7d20\u6570\u91cf\u662f <\/p>\n

    2<\/p>\n

    \u00d7<\/p>\n

    2<\/p>\n

    \u00d7<\/p>\n

    8<\/p>\n

    \u00d7<\/p>\n

    2<\/p>\n

    =<\/p>\n

    64<\/p>\n

    2 \\\\times 2 \\\\times 8 \\\\times 2 = 64<\/p>\n

    <\/span><\/span>2<\/span><\/span>\u00d7<\/span><\/span><\/span><\/span>2<\/span><\/span>\u00d7<\/span><\/span><\/span><\/span>8<\/span><\/span>\u00d7<\/span><\/span><\/span><\/span>2<\/span><\/span>=<\/span><\/span><\/span><\/span>64<\/span><\/span><\/span><\/span><\/span> \u4e2a\u590d\u6570\u2014\u2014\u8fd9\u8fd8\u662f\u4e00\u4e2a\u5c0f\u89c4\u6a21\u7cfb\u7edf\u3002\u5f53 <\/p>\n

    N<\/p>\n

    t<\/p>\n

    N_t<\/p>\n

    <\/span><\/span>N<\/span><\/span>t<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u8fbe\u5230 64 \u6216 128 \u65f6，\u53d8\u91cf\u6570\u91cf\u8f7b\u677e\u7a81\u7834\u5343\u91cf\u7ea7\u3002<\/p>\n

    \u800c\u4e14\u8fd9\u4e2a\u4f18\u5316\u95ee\u9898\u662f\u9ad8\u5ea6\u975e\u51f8\u7684\u2014\u2014\u901f\u7387 <\/p>\n

    R<\/p>\n

    i<\/p>\n

    ,<\/p>\n

    k<\/p>\n

    R_{i,k}<\/p>\n

    <\/span><\/span>R<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u5bf9 <\/p>\n

    V<\/p>\n

    i<\/p>\n

    ,<\/p>\n

    k<\/p>\n

    \\\\mathbf{V}_{i,k}<\/p>\n

    <\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u4f9d\u8d56\u5173\u7cfb\u6781\u5176\u590d\u6742，\u6d89\u53ca\u77e9\u9635\u6c42\u9006\u3001\u884c\u5217\u5f0f\u3001\u5bf9\u6570\u7b49\u8fd0\u7b97\u3002\u76f4\u63a5\u6c42\u89e3\u51e0\u4e4e\u4e0d\u53ef\u80fd\u3002<\/p>\n

    1.2 \u878d\u5408\u7684\u6838\u5fc3\u601d\u60f3<\/h4>\n

    \u8bba\u6587\u7684\u6838\u5fc3\u6d1e\u5bdf\u662f：\u4e0d\u76f4\u63a5\u4f18\u5316 <\/p>\n

    V<\/p>\n

    i<\/p>\n

    ,<\/p>\n

    k<\/p>\n

    \\\\mathbf{V}_{i,k}<\/p>\n

    <\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u800c\u662f\u628a\u5b83\u8868\u793a\u4e3a\u591a\u4e2a\u57fa\u9884\u7f16\u7801\u5668\u7684\u52a0\u6743\u548c\u3002<\/p>\n

    <\/p>\n

    V<\/p>\n

    i<\/p>\n

    ,<\/p>\n

    k<\/p>\n

    (<\/p>\n

    \u03b1<\/p>\n

    )<\/p>\n

    =<\/p>\n

    \u2211<\/p>\n

    b<\/p>\n

    =<\/p>\n

    1<\/p>\n

    B<\/p>\n

    \u03b1<\/p>\n

    b<\/p>\n

    V<\/p>\n

    i<\/p>\n

    ,<\/p>\n

    k<\/p>\n

    (<\/p>\n

    b<\/p>\n

    )<\/p>\n

    \\\\mathbf{V}_{i,k}(\\\\boldsymbol{\\\\alpha}) = \\\\sum_{b=1}^{B} \\\\alpha_b \\\\mathbf{V}_{i,k}^{(b)} <\/p>\n

    <\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>\u03b1<\/span><\/span><\/span>)<\/span><\/span>=<\/span><\/span><\/span><\/span><\/span>b<\/span>=<\/span>1<\/span><\/span><\/span><\/span><\/span>\u2211<\/span><\/span><\/span><\/span>B<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03b1<\/span><\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>(<\/span>b<\/span>)<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u5176\u4e2d：<\/p>\n

      \n
    • \n

      V<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      (<\/p>\n

      b<\/p>\n

      )<\/p>\n

      \\\\mathbf{V}_{i,k}^{(b)}<\/p>\n

      <\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>(<\/span>b<\/span>)<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u7b2c <\/p>\n

      b<\/p>\n

      b<\/p>\n

      <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u4e2a\u57fa\u9884\u7f16\u7801\u5668（\u5982 ZF\u3001MRT\u3001RZF\u3001WMMSE \u7b49）；<\/li>\n

    • \n

      \u03b1<\/p>\n

      b<\/p>\n

      \\\\alpha_b<\/p>\n

      <\/span><\/span>\u03b1<\/span><\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u5bf9\u5e94\u7684\u878d\u5408\u6743\u91cd；<\/li>\n

    • \n

      B<\/p>\n

      B<\/p>\n

      <\/span><\/span>B<\/span><\/span><\/span><\/span><\/span> \u662f\u57fa\u9884\u7f16\u7801\u5668\u7684\u603b\u6570（\u901a\u5e38 4~5）；<\/li>\n

    • \n

      \u03b1<\/p>\n

      =<\/p>\n

      [<\/p>\n

      \u03b1<\/p>\n

      1<\/p>\n

      ,<\/p>\n

      \u2026<\/p>\n

      ,<\/p>\n

      \u03b1<\/p>\n

      B<\/p>\n

      ]<\/p>\n

      \\\\boldsymbol{\\\\alpha} = [\\\\alpha_1, \\\\ldots, \\\\alpha_B]<\/p>\n

      <\/span><\/span>\u03b1<\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>[<\/span>\u03b1<\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>\u2026<\/span><\/span>,<\/span><\/span>\u03b1<\/span><\/span>B<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span><\/span> \u662f\u5f85\u4f18\u5316\u7684\u6743\u91cd\u5411\u91cf\u3002<\/li>\n<\/ul>\n

      \u8fd9\u6837\u505a\u7684\u597d\u5904\u662f：<\/p>\n\n\u7ef4\u5ea6\u76f4\u63a5\u4f18\u5316 <\/p>\n

      V<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      \\\\mathbf{V}_{i,k}<\/p>\n

      <\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4f18\u5316 <\/p>\n

      \u03b1<\/p>\n

      \\\\boldsymbol{\\\\alpha}<\/p>\n

      <\/span><\/span>\u03b1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/tr>\n

      \n\n\n\n\n
      \u53d8\u91cf\u6570\u91cf<\/td>\n\u6570\u5343\u751a\u81f3\u6570\u4e07<\/td>\n4~5 \u4e2a<\/td>\n<\/tr>\n
      \u95ee\u9898\u6027\u8d28<\/td>\n\u9ad8\u5ea6\u975e\u51f8<\/td>\n\u4f4e\u7ef4\u3001\u53ef\u8fd1\u4f3c\u51f8<\/td>\n<\/tr>\n
      \u8ba1\u7b97\u590d\u6742\u5ea6<\/td>\n\u6781\u9ad8<\/td>\n\u53ef\u63a5\u53d7<\/td>\n<\/tr>\n
      \u5de5\u7a0b\u53ef\u884c\u6027<\/td>\n\u4f4e<\/td>\n\u9ad8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      1.3 \u7ea6\u675f\u6761\u4ef6<\/h4>\n

      \u6743\u91cd\u5411\u91cf <\/p>\n

      \u03b1<\/p>\n

      \\\\boldsymbol{\\\\alpha}<\/p>\n

      <\/span><\/span>\u03b1<\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u9700\u8981\u6ee1\u8db3\u4e24\u4e2a\u7ea6\u675f：<\/p>\n

    • \u975e\u8d1f\u6027：\n

      \u03b1<\/p>\n

      b<\/p>\n

      \u2265<\/p>\n

      0<\/p>\n

      \\\\alpha_b \\\\geq 0<\/p>\n

      <\/span><\/span>\u03b1<\/span><\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2265<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span> \u2014\u2014 \u6743\u91cd\u4e0d\u80fd\u4e3a\u8d1f，\u5426\u5219\u6ca1\u6709\u7269\u7406\u610f\u4e49\u3002<\/li>\n

    • \u5f52\u4e00\u5316：\n

      \u2211<\/p>\n

      b<\/p>\n

      =<\/p>\n

      1<\/p>\n

      B<\/p>\n

      \u03b1<\/p>\n

      b<\/p>\n

      =<\/p>\n

      1<\/p>\n

      \\\\sum_{b=1}^{B} \\\\alpha_b = 1<\/p>\n

      <\/span><\/span>\u2211<\/span><\/span>b<\/span>=<\/span>1<\/span><\/span><\/span><\/span><\/span>B<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03b1<\/span><\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span> \u2014\u2014 \u6240\u6709\u6743\u91cd\u4e4b\u548c\u4e3a 1，\u5f62\u6210\u4e00\u4e2a\u51f8\u7ec4\u5408（Convex Combination）\u3002<\/li>\n

      \u8fd9\u4e24\u4e2a\u7ea6\u675f\u4fdd\u8bc1\u4e86\u878d\u5408\u540e\u7684\u9884\u7f16\u7801\u77e9\u9635 <\/p>\n

      V<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      (<\/p>\n

      \u03b1<\/p>\n

      )<\/p>\n

      \\\\mathbf{V}_{i,k}(\\\\boldsymbol{\\\\alpha})<\/p>\n

      <\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>\u03b1<\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span> \u4f4d\u4e8e\u57fa\u9884\u7f16\u7801\u5668\u7684\u51f8\u5305\u5185\u3002\u8bba\u6587\u6307\u51fa，\u5728\u8fd9\u79cd\u7ea6\u675f\u4e0b，\u53d1\u5c04\u529f\u7387\u7ea6\u675f\u53ef\u4ee5\u901a\u8fc7\u5bf9\u57fa\u9884\u7f16\u7801\u5668\u7684\u9884\u5148\u5f52\u4e00\u5316\u6765\u95f4\u63a5\u6ee1\u8db3，\u56e0\u6b64\u6743\u91cd\u4f18\u5316\u73af\u8282\u53ef\u4ee5\u805a\u7126\u4e8e\u6700\u5927\u5316\u7cfb\u7edf\u548c\u901f\u7387\u3002<\/p>\n

      \u8fd9\u6837\u4e00\u6765，<\/p>\n

      \u03b1<\/p>\n

      \\\\boldsymbol{\\\\alpha}<\/p>\n

      <\/span><\/span>\u03b1<\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u5c31\u4f4d\u4e8e\u4e00\u4e2a <\/p>\n

      B<\/p>\n

      B<\/p>\n

      <\/span><\/span>B<\/span><\/span><\/span><\/span><\/span> \u7ef4\u7a7a\u95f4\u7684\u5355\u7eaf\u5f62（Simplex）\u4e0a，\u4f18\u5316\u95ee\u9898\u53d8\u6210\u4e86\u4e00\u4e2a\u5e26\u7ebf\u6027\u7ea6\u675f\u7684\u4f4e\u7ef4\u4f18\u5316\u95ee\u9898\u3002<\/p>\n

      1.4 \u5173\u4e8e\u201c\u52a0\u6743\u201d\u7684\u542b\u4e49<\/h4>\n

      \u503c\u5f97\u6ce8\u610f\u7684\u662f，\u8fd9\u91cc\u7684\u201c\u52a0\u6743\u201d\u6709\u4e24\u5c42\u542b\u4e49：<\/p>\n

    • \u878d\u5408\u6743\u91cd \n

      \u03b1<\/p>\n

      \\\\boldsymbol{\\\\alpha}<\/p>\n

      <\/span><\/span>\u03b1<\/span><\/span><\/span><\/span><\/span><\/span><\/span>：\u63a7\u5236\u4e0d\u540c\u57fa\u9884\u7f16\u7801\u5668\u5728\u6700\u7ec8\u9884\u7f16\u7801\u4e2d\u7684\u8d21\u732e\u6bd4\u4f8b\u3002<\/li>\n

    • \u7528\u6237\/\u5c42\u6743\u91cd：\u5728\u7cfb\u7edf\u548c\u901f\u7387\u7684\u6c42\u548c \n

      \u2211<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      R<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      \\\\sum_{i,k} R_{i,k}<\/p>\n

      <\/span><\/span>\u2211<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>R<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e2d，\u6bcf\u4e2a\u7528\u6237\u548c\u6bcf\u5c42\u7684\u6743\u91cd\u9ed8\u8ba4\u4e3a 1\u3002<\/li>\n

      \u5982\u679c\u672a\u6765\u9700\u8981\u652f\u6301\u5dee\u5f02\u5316\u670d\u52a1\u8d28\u91cf（QoS），\u4e5f\u53ef\u4ee5\u7ed9\u4e0d\u540c\u7528\u6237\u8d4b\u4e88\u4e0d\u540c\u7684\u6743\u91cd，\u4f46\u8bba\u6587\u4e3a\u4e86\u805a\u7126\u4e8e\u878d\u5408\u673a\u5236\u672c\u8eab，\u91c7\u7528\u7b49\u6743\u91cd\u3002<\/p>\n

      \u4e8c\u3001\u4f18\u5316\u7b97\u6cd5\u7684\u6838\u5fc3\u6311\u6218<\/h3>\n

      \u73b0\u5728\u7684\u95ee\u9898\u53d8\u6210\u4e86：\u5982\u4f55\u627e\u5230\u6700\u4f18\u7684 <\/p>\n

      \u03b1<\/p>\n

      \\\\boldsymbol{\\\\alpha}<\/p>\n

      <\/span><\/span>\u03b1<\/span><\/span><\/span><\/span><\/span><\/span><\/span>？<\/p>\n

      \u76ee\u6807\u51fd\u6570 <\/p>\n

      f<\/p>\n

      (<\/p>\n

      \u03b1<\/p>\n

      )<\/p>\n

      =<\/p>\n

      \u2211<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      R<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      (<\/p>\n

      \u03b1<\/p>\n

      )<\/p>\n

      f(\\\\boldsymbol{\\\\alpha}) = \\\\sum_{i,k} R_{i,k}(\\\\boldsymbol{\\\\alpha})<\/p>\n

      <\/span><\/span>f<\/span>(<\/span>\u03b1<\/span><\/span><\/span>)<\/span><\/span>=<\/span><\/span><\/span><\/span>\u2211<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>R<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>\u03b1<\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span> \u662f <\/p>\n

      \u03b1<\/p>\n

      \\\\boldsymbol{\\\\alpha}<\/p>\n

      <\/span><\/span>\u03b1<\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u975e\u7ebf\u6027\u51fd\u6570\u2014\u2014\u901f\u7387 <\/p>\n

      R<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      R_{i,k}<\/p>\n

      <\/span><\/span>R<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u901a\u8fc7 <\/p>\n

      V<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      (<\/p>\n

      \u03b1<\/p>\n

      )<\/p>\n

      \\\\mathbf{V}_{i,k}(\\\\boldsymbol{\\\\alpha})<\/p>\n

      <\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>\u03b1<\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span> \u4f9d\u8d56\u4e8e <\/p>\n

      \u03b1<\/p>\n

      \\\\boldsymbol{\\\\alpha}<\/p>\n

      <\/span><\/span>\u03b1<\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u800c <\/p>\n

      V<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      (<\/p>\n

      \u03b1<\/p>\n

      )<\/p>\n

      \\\\mathbf{V}_{i,k}(\\\\boldsymbol{\\\\alpha})<\/p>\n

      <\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>\u03b1<\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span> \u662f <\/p>\n

      \u03b1<\/p>\n

      \\\\boldsymbol{\\\\alpha}<\/p>\n

      <\/span><\/span>\u03b1<\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u7ebf\u6027\u7ec4\u5408，\u4f46\u901f\u7387\u8ba1\u7b97\u4e2d\u6d89\u53ca\u77e9\u9635\u6c42\u9006\u3001\u884c\u5217\u5f0f\u3001\u5bf9\u6570\u7b49\u8fd0\u7b97，\u6240\u4ee5 <\/p>\n

      f<\/p>\n

      (<\/p>\n

      \u03b1<\/p>\n

      )<\/p>\n

      f(\\\\boldsymbol{\\\\alpha})<\/p>\n

      <\/span><\/span>f<\/span>(<\/span>\u03b1<\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span> \u662f\u9ad8\u5ea6\u975e\u7ebf\u6027\u7684\u3002<\/p>\n

      \u76f4\u63a5\u5bf9 <\/p>\n

      f<\/p>\n

      (<\/p>\n

      \u03b1<\/p>\n

      )<\/p>\n

      f(\\\\boldsymbol{\\\\alpha})<\/p>\n

      <\/span><\/span>f<\/span>(<\/span>\u03b1<\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span> \u505a\u5168\u5c40\u4f18\u5316\u4ecd\u7136\u56f0\u96be\u3002<\/p>\n

      \u8bba\u6587\u7684\u7b56\u7565\u662f：\u5728\u201c\u5e73\u5747\u5de5\u4f5c\u70b9\u201d\u9644\u8fd1\u5bf9 <\/p>\n

      f<\/p>\n

      (<\/p>\n

      \u03b1<\/p>\n

      )<\/p>\n

      f(\\\\boldsymbol{\\\\alpha})<\/p>\n

      <\/span><\/span>f<\/span>(<\/span>\u03b1<\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span> \u505a\u5c40\u90e8\u8fd1\u4f3c，\u7136\u540e\u6c42\u89e3\u8fd1\u4f3c\u95ee\u9898\u3002<\/p>\n

      \u8fd9\u4e2a\u601d\u8def\u7c7b\u4f3c\u4e8e\u673a\u5668\u5b66\u4e60\u4e2d\u7684\u6cf0\u52d2\u5c55\u5f00\u4f18\u5316\u2014\u2014\u5728\u67d0\u4e2a\u70b9\u9644\u8fd1，\u7528\u4e00\u9636\u548c\u4e8c\u9636\u4fe1\u606f\u6765\u8fd1\u4f3c\u76ee\u6807\u51fd\u6570，\u7136\u540e\u6c42\u89e3\u8fd1\u4f3c\u95ee\u9898\u7684\u6700\u4f18\u89e3\u3002<\/p>\n

      \u4e09\u3001\u5e73\u5747\u5de5\u4f5c\u70b9：\u8fd1\u4f3c\u7684\u951a\u70b9<\/h3>\n

      3.1 \u4ec0\u4e48\u662f\u201c\u5e73\u5747\u5de5\u4f5c\u70b9\u201d？<\/h4>\n

      \u5e73\u5747\u5de5\u4f5c\u70b9（Average Operating Point）\u5b9a\u4e49\u4e3a\u6240\u6709\u57fa\u9884\u7f16\u7801\u5668\u7b49\u6743\u91cd\u878d\u5408\u65f6\u7684\u72b6\u6001：<\/p>\n

      <\/p>\n

      V<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      avg<\/p>\n

      =<\/p>\n

      1<\/p>\n

      B<\/p>\n

      \u2211<\/p>\n

      b<\/p>\n

      =<\/p>\n

      1<\/p>\n

      B<\/p>\n

      V<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      (<\/p>\n

      b<\/p>\n

      )<\/p>\n

      \\\\mathbf{V}_{i,k}^{\\\\text{avg}} = \\\\frac{1}{B} \\\\sum_{b=1}^{B} \\\\mathbf{V}_{i,k}^{(b)} <\/p>\n

      <\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span><\/span><\/span>B<\/span><\/span><\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>b<\/span>=<\/span>1<\/span><\/span><\/span><\/span><\/span>\u2211<\/span><\/span><\/span><\/span>B<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>(<\/span>b<\/span>)<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

      \u4e5f\u5c31\u662f\u8bf4，\u5728\u5e73\u5747\u5de5\u4f5c\u70b9，<\/p>\n

      \u03b1<\/p>\n

      =<\/p>\n

      [<\/p>\n

      1<\/p>\n

      \/<\/p>\n

      B<\/p>\n

      ,<\/p>\n

      1<\/p>\n

      \/<\/p>\n

      B<\/p>\n

      ,<\/p>\n

      \u2026<\/p>\n

      ,<\/p>\n

      1<\/p>\n

      \/<\/p>\n

      B<\/p>\n

      ]<\/p>\n

      \\\\boldsymbol{\\\\alpha} = [1\/B, 1\/B, \\\\ldots, 1\/B]<\/p>\n

      <\/span><\/span>\u03b1<\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>[<\/span>1\/<\/span>B<\/span>,<\/span><\/span>1\/<\/span>B<\/span>,<\/span><\/span>\u2026<\/span><\/span>,<\/span><\/span>1\/<\/span>B<\/span>]<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

      3.2 \u4e3a\u4ec0\u4e48\u9009\u8fd9\u4e2a\u70b9？<\/h4>\n

      \u8fd9\u4e2a\u9009\u62e9\u4e0d\u662f\u968f\u610f\u7684，\u800c\u662f\u6709\u5145\u5206\u7684\u5de5\u7a0b\u76f4\u89c9：<\/p>\n

    • \u4e2d\u7acb\u6027：\u7b49\u6743\u91cd\u878d\u5408\u4e0d\u504f\u5411\u4efb\u4f55\u4e00\u4e2a\u57fa\u9884\u7f16\u7801\u5668，\u662f\u4e00\u4e2a\u201c\u516c\u5e73\u201d\u7684\u8d77\u70b9\u3002<\/li>\n
    • \u53ef\u884c\u6027：\u7b49\u6743\u91cd\u878d\u5408\u5929\u7136\u6ee1\u8db3 \n

      \u03b1<\/p>\n

      b<\/p>\n

      \u2265<\/p>\n

      0<\/p>\n

      \\\\alpha_b \\\\geq 0<\/p>\n

      <\/span><\/span>\u03b1<\/span><\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2265<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span> \u548c <\/p>\n

      \u2211<\/p>\n

      \u03b1<\/p>\n

      b<\/p>\n

      =<\/p>\n

      1<\/p>\n

      \\\\sum \\\\alpha_b = 1<\/p>\n

      <\/span><\/span>\u2211<\/span><\/span>\u03b1<\/span><\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>，\u662f\u4e00\u4e2a\u5408\u6cd5\u7684\u53ef\u884c\u89e3\u3002<\/li>\n

    • \u7a33\u5b9a\u6027：\u5728\u6240\u6709\u57fa\u9884\u7f16\u7801\u5668\u7684\u51f8\u5305\u5185\u90e8，\u7b49\u6743\u91cd\u70b9\u901a\u5e38\u8fdc\u79bb\u8fb9\u754c，\u5177\u6709\u826f\u597d\u7684\u6570\u503c\u7a33\u5b9a\u6027\u3002<\/li>\n
    • \u4ee3\u8868\u6027：\u5982\u679c\u6240\u6709\u57fa\u9884\u7f16\u7801\u5668\u90fd\u201c\u5404\u6709\u5343\u79cb\u201d，\u7b49\u6743\u91cd\u878d\u5408\u5df2\u7ecf\u80fd\u83b7\u5f97\u4e0d\u9519\u7684\u6027\u80fd，\u53ef\u4ee5\u4f5c\u4e3a\u8fdb\u4e00\u6b65\u4f18\u5316\u7684\u826f\u597d\u8d77\u70b9\u3002<\/li>\n

      \u8bba\u6587\u6307\u51fa，\u9009\u62e9\u7b49\u6743\u91cd\u70b9\u4f5c\u4e3a\u53c2\u8003，\u662f\u56e0\u4e3a\u5b83\u63d0\u4f9b\u4e86\u4e00\u4e2a\u201c\u4e2d\u7acb\u4e14\u53ef\u884c\u7684\u53c2\u8003\u70b9\u201d，\u5728\u6b64\u57fa\u7840\u4e0a\u8fdb\u884c\u4e00\u9636\u548c\u4e8c\u9636\u8fd1\u4f3c，\u80fd\u591f\u5728\u4e0d\u504f\u5411\u4efb\u4f55\u5355\u4e00\u9884\u7f16\u7801\u5668\u7684\u60c5\u51b5\u4e0b\u6355\u83b7\u7cfb\u7edf\u76ee\u6807\u7684\u5c40\u90e8\u884c\u4e3a\u3002<\/p>\n

      3.3 \u5728\u5e73\u5747\u5de5\u4f5c\u70b9\u8ba1\u7b97\u8f85\u52a9\u77e9\u9635<\/h4>\n

      \u5728\u5e73\u5747\u5de5\u4f5c\u70b9，\u8bba\u6587\u8ba1\u7b97\u4e24\u4e2a\u5173\u952e\u7684\u534f\u65b9\u5dee\u77e9\u9635：<\/p>\n

      \u671f\u671b\u4fe1\u53f7\u534f\u65b9\u5dee：<\/p>\n

      <\/p>\n

      S<\/p>\n

      avg<\/p>\n

      [<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      ]<\/p>\n

      =<\/p>\n

      H<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      ,<\/p>\n

      i<\/p>\n

      V<\/p>\n

      avg<\/p>\n

      [<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      ]<\/p>\n

      V<\/p>\n

      avg<\/p>\n

      [<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      ]<\/p>\n

      H<\/p>\n

      H<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      ,<\/p>\n

      i<\/p>\n

      H<\/p>\n

      \\\\mathbf{S}_{\\\\text{avg}}[i,k] = \\\\mathbf{H}_{i,k,i} \\\\mathbf{V}_{\\\\text{avg}}[i,k] \\\\mathbf{V}_{\\\\text{avg}}[i,k]^H \\\\mathbf{H}_{i,k,i}^H <\/p>\n

      <\/span><\/span>S<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span>=<\/span><\/span><\/span><\/span>H<\/span><\/span>i<\/span>,<\/span>k<\/span>,<\/span>i<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>V<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span>V<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span>H<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>H<\/span><\/span>i<\/span>,<\/span>k<\/span>,<\/span>i<\/span><\/span><\/span><\/span><\/span>H<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

      \u5e72\u6270\u52a0\u566a\u58f0\u534f\u65b9\u5dee：<\/p>\n

      <\/p>\n

      \u03a3<\/p>\n

      avg<\/p>\n

      [<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      ]<\/p>\n

      =<\/p>\n

      \u03c3<\/p>\n

      2<\/p>\n

      I<\/p>\n

      +<\/p>\n

      \u2211<\/p>\n

      j<\/p>\n

      \u2260<\/p>\n

      i<\/p>\n

      H<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      ,<\/p>\n

      j<\/p>\n

      V<\/p>\n

      avg<\/p>\n

      [<\/p>\n

      j<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      ]<\/p>\n

      V<\/p>\n

      avg<\/p>\n

      [<\/p>\n

      j<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      ]<\/p>\n

      H<\/p>\n

      H<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      ,<\/p>\n

      j<\/p>\n

      H<\/p>\n

      +<\/p>\n

      \u03ba<\/p>\n

      S<\/p>\n

      avg<\/p>\n

      [<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      ]<\/p>\n

      \\\\boldsymbol{\\\\Sigma}_{\\\\text{avg}}[i,k] = \\\\sigma^2 \\\\mathbf{I} + \\\\sum_{j \\\\neq i} \\\\mathbf{H}_{i,k,j} \\\\mathbf{V}_{\\\\text{avg}}[j,k] \\\\mathbf{V}_{\\\\text{avg}}[j,k]^H \\\\mathbf{H}_{i,k,j}^H + \\\\kappa \\\\mathbf{S}_{\\\\text{avg}}[i,k] <\/p>\n

      <\/span><\/span>\u03a3<\/span><\/span><\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span>=<\/span><\/span><\/span><\/span>\u03c3<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>I<\/span><\/span>+<\/span><\/span><\/span><\/span><\/span>j<\/span><\/span>\ue020<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>i<\/span><\/span><\/span><\/span><\/span>\u2211<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>H<\/span><\/span>i<\/span>,<\/span>k<\/span>,<\/span>j<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>V<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>j<\/span>,<\/span><\/span>k<\/span>]<\/span>V<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>j<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span>H<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>H<\/span><\/span>i<\/span>,<\/span>k<\/span>,<\/span>j<\/span><\/span><\/span><\/span><\/span>H<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>\u03ba<\/span>S<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

      \u5176\u4e2d <\/p>\n

      \u03ba<\/p>\n

      \\\\kappa<\/p>\n

      <\/span><\/span>\u03ba<\/span><\/span><\/span><\/span><\/span> \u662f\u786c\u4ef6\u635f\u4f24\u56e0\u5b50（\u5bf9\u5e94\u7b2c\u4e03\u8282\u4e2d\u7684 <\/p>\n

      \u03ba<\/p>\n

      t<\/p>\n

      x<\/p>\n

      \\\\kappa_{tx}<\/p>\n

      <\/span><\/span>\u03ba<\/span><\/span>t<\/span>x<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>）\u3002<\/p>\n

      \u8fd9\u4e24\u4e2a\u77e9\u9635\u6784\u6210\u4e86\u5728\u5e73\u5747\u5de5\u4f5c\u70b9\u8ba1\u7b97\u901f\u7387\u68af\u5ea6\u7684\u57fa\u7840\u3002<\/p>\n

      3.4 \u8f85\u52a9\u77e9\u9635 <\/p>\n

      M<\/p>\n

      avg<\/p>\n

      M_{\\\\text{avg}}<\/p>\n

      <\/span><\/span>M<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/h4>\n

      \u8bba\u6587\u8fd8\u5b9a\u4e49\u4e86\u4e00\u4e2a\u8f85\u52a9\u77e9\u9635：<\/p>\n

      <\/p>\n

      M<\/p>\n

      avg<\/p>\n

      [<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      ]<\/p>\n

      =<\/p>\n

      I<\/p>\n

      +<\/p>\n

      S<\/p>\n

      avg<\/p>\n

      [<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      ]<\/p>\n

      \u03a3<\/p>\n

      avg<\/p>\n

      [<\/p>\n

      i<\/p>\n

      ,<\/p>\n

      k<\/p>\n

      ]<\/p>\n

      \u2212<\/p>\n

      1<\/p>\n

      \\\\mathbf{M}_{\\\\text{avg}}[i,k] = \\\\mathbf{I} + \\\\mathbf{S}_{\\\\text{avg}}[i,k] \\\\boldsymbol{\\\\Sigma}_{\\\\text{avg}}[i,k]^{-1} <\/p>\n

      <\/span><\/span>M<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span>=<\/span><\/span><\/span><\/span>I<\/span><\/span>+<\/span><\/span><\/span><\/span>S<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span>\u03a3<\/span><\/span><\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span>\u2212<\/span>1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

      \u8fd9\u4e2a\u77e9\u9635\u76f4\u63a5\u5bf9\u5e94\u901f\u7387\u8868\u8fbe\u5f0f\u4e2d <\/p>\n

      log<\/p>\n

      \u2061<\/p>\n

      2<\/p>\n

      det<\/p>\n

      \u2061<\/p>\n

      (<\/p>\n

      I<\/p>\n

      +<\/p>\n

      S<\/p>\n

      \u03a3<\/p>\n

      \u2212<\/p>\n

      1<\/p>\n

      )<\/p>\n

      \\\\log_2 \\\\det(\\\\mathbf{I} + \\\\mathbf{S} \\\\boldsymbol{\\\\Sigma}^{-1})<\/p>\n

      <\/span><\/span>log<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>det<\/span>(<\/span>I<\/span><\/span>+<\/span><\/span><\/span><\/span>S<\/span>\u03a3<\/span><\/span><\/span><\/span>\u2212<\/span>1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span> \u7684\u5185\u90e8\u7ed3\u6784\u3002\u5b83\u7684\u4f5c\u7528\u6709\u4e24\u4e2a：<\/p>\n

    • \u68af\u5ea6\u8ba1\u7b97：\u901f\u7387\u7684\u5bfc\u6570\u53ef\u4ee5\u901a\u8fc7 \n

      M<\/p>\n

      avg<\/p>\n

      \u2212<\/p>\n

      1<\/p>\n

      \\\\mathbf{M}_{\\\\text{avg}}^{-1}<\/p>\n

      <\/span><\/span>M<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span>1<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u6765\u8868\u8fbe\u3002<\/li>\n

    • \u4e8c\u9636\u8fd1\u4f3c：\n

      M<\/p>\n

      avg<\/p>\n

      \\\\mathbf{M}_{\\\\text{avg}}<\/p>\n

      <\/span><\/span>M<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u53d8\u5316\u7387\u7528\u4e8e\u6784\u9020 Hessian \u77e9\u9635\u7684\u8fd1\u4f3c\u3002<\/li>\n

      \u56db\u3001\u4e00\u9636\u68af\u5ea6：\u77e5\u9053\u5f80\u54ea\u4e2a\u65b9\u5411\u8d70<\/h3>\n

      \u6709\u4e86\u5e73\u5747\u5de5\u4f5c\u70b9\u7684\u8f85\u52a9\u77e9\u9635，\u8bba\u6587\u8ba1\u7b97\u901f\u7387 <\/p>\n

      f<\/p>\n

      (<\/p>\n

      \u03b1<\/p>\n

      )<\/p>\n

      f(\\\\boldsymbol{\\\\alpha})<\/p>\n

      <\/span><\/span>f<\/span>(<\/span>\u03b1<\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span> \u5bf9\u6bcf\u4e2a\u6743\u91cd <\/p>\n

      \u03b1<\/p>\n

      m<\/p>\n

      \\\\alpha_m<\/p>\n

      <\/span><\/span>\u03b1<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u4e00\u9636\u504f\u5bfc\u6570（\u68af\u5ea6）\u3002<\/p>\n

      4.1 \u68af\u5ea6\u7684\u7269\u7406\u610f\u4e49<\/h4>\n

      \u68af\u5ea6 <\/p>\n

      \u2207<\/p>\n

      f<\/p>\n

      (<\/p>\n

      \u03b1<\/p>\n

      )<\/p>\n

      \\\\nabla f(\\\\boldsymbol{\\\\alpha})<\/p>\n

      <\/span><\/span>\u2207<\/span>f<\/span>(<\/span>\u03b1<\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span> \u7684\u7b2c <\/p>\n

      m<\/p>\n

      m<\/p>\n

      <\/span><\/span>m<\/span><\/span><\/span><\/span><\/span> \u4e2a\u5206\u91cf <\/p>\n

      g<\/p>\n

      m<\/p>\n

      g_m<\/p>\n

      <\/span><\/span>g<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u544a\u8bc9\u6211\u4eec：\u5982\u679c\u7a0d\u5fae\u589e\u52a0 <\/p>\n

      \u03b1<\/p>\n

      m<\/p>\n

      \\\\alpha_m<\/p>\n

      <\/span><\/span>\u03b1<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>（\u540c\u65f6\u76f8\u5e94\u51cf\u5c11\u5176\u4ed6\u6743\u91cd\u4ee5\u4fdd\u6301\u5f52\u4e00\u5316），\u7cfb\u7edf\u548c\u901f\u7387\u4f1a\u5982\u4f55\u53d8\u5316\u3002<\/p>\n

        \n
      • \u5982\u679c \n

        g<\/p>\n

        m<\/p>\n

        ><\/p>\n

        0<\/p>\n

        g_m > 0<\/p>\n

        <\/span><\/span>g<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>><\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>，\u589e\u52a0 <\/p>\n

        \u03b1<\/p>\n

        m<\/p>\n

        \\\\alpha_m<\/p>\n

        <\/span><\/span>\u03b1<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4f1a\u63d0\u5347\u901f\u7387；<\/li>\n

      • \u5982\u679c \n

        g<\/p>\n

        m<\/p>\n

        <<\/p>\n

        0<\/p>\n

        g_m < 0<\/p>\n

        <\/span><\/span>g<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>，\u589e\u52a0 <\/p>\n

        \u03b1<\/p>\n

        m<\/p>\n

        \\\\alpha_m<\/p>\n

        <\/span><\/span>\u03b1<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4f1a\u964d\u4f4e\u901f\u7387\u3002<\/li>\n<\/ul>\n

        \u68af\u5ea6\u4fe1\u606f\u544a\u8bc9\u6211\u4eec\u4f18\u5316\u7684\u65b9\u5411\u3002<\/p>\n

        4.2 \u68af\u5ea6\u7684\u6570\u5b66\u5f62\u5f0f<\/h4>\n

        \u8bba\u6587\u63a8\u5bfc\u51fa\u68af\u5ea6\u7684\u8868\u8fbe\u5f0f\u4e3a：<\/p>\n

        <\/p>\n

        g<\/p>\n

        m<\/p>\n

        =<\/p>\n

        1<\/p>\n

        ln<\/p>\n

        \u2061<\/p>\n

        2<\/p>\n

        tr<\/p>\n

        (<\/p>\n

        M<\/p>\n

        avg<\/p>\n

        [<\/p>\n

        i<\/p>\n

        ,<\/p>\n

        k<\/p>\n

        ]<\/p>\n

        \u2212<\/p>\n

        1<\/p>\n

        \u2202<\/p>\n

        M<\/p>\n

        avg<\/p>\n

        [<\/p>\n

        i<\/p>\n

        ,<\/p>\n

        k<\/p>\n

        ]<\/p>\n

        \u2202<\/p>\n

        \u03b1<\/p>\n

        m<\/p>\n

        )<\/p>\n

        g_m = \\\\frac{1}{\\\\ln 2} \\\\text{tr}\\\\left( \\\\mathbf{M}_{\\\\text{avg}}[i,k]^{-1} \\\\frac{\\\\partial \\\\mathbf{M}_{\\\\text{avg}}[i,k]}{\\\\partial \\\\alpha_m} \\\\right) <\/p>\n

        <\/span><\/span>g<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span><\/span><\/span>ln<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>tr<\/span><\/span><\/span>(<\/span><\/span>M<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span>\u2212<\/span>1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2202<\/span>\u03b1<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2202<\/span>M<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u5176\u4e2d <\/p>\n

        \u2202<\/p>\n

        M<\/p>\n

        avg<\/p>\n

        [<\/p>\n

        i<\/p>\n

        ,<\/p>\n

        k<\/p>\n

        ]<\/p>\n

        \u2202<\/p>\n

        \u03b1<\/p>\n

        m<\/p>\n

        \\\\frac{\\\\partial \\\\mathbf{M}_{\\\\text{avg}}[i,k]}{\\\\partial \\\\alpha_m}<\/p>\n

        <\/span><\/span><\/span><\/span>\u2202<\/span>\u03b1<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2202<\/span>M<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span>k<\/span>]<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u8f85\u52a9\u77e9\u9635\u5bf9 <\/p>\n

        \u03b1<\/p>\n

        m<\/p>\n

        \\\\alpha_m<\/p>\n

        <\/span><\/span>\u03b1<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u504f\u5bfc\u6570\u3002<\/p>\n

        \u8fd9\u4e2a\u8868\u8fbe\u5f0f\u7684\u6838\u5fc3\u662f：\u901f\u7387\u5bf9\u6743\u91cd\u7684\u68af\u5ea6，\u53ef\u4ee5\u901a\u8fc7\u8f85\u52a9\u77e9\u9635\u7684\u9006\u548c\u5bfc\u6570\u6765\u8ba1\u7b97\u3002\u7531\u4e8e <\/p>\n

        M<\/p>\n

        avg<\/p>\n

        \\\\mathbf{M}_{\\\\text{avg}}<\/p>\n

        <\/span><\/span>M<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u7ef4\u5ea6\u662f <\/p>\n

        N<\/p>\n

        r<\/p>\n

        \u00d7<\/p>\n

        N<\/p>\n

        r<\/p>\n

        N_r \\\\times N_r<\/p>\n

        <\/span><\/span>N<\/span><\/span>r<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00d7<\/span><\/span><\/span><\/span>N<\/span><\/span>r<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>（\u63a5\u6536\u5929\u7ebf\u6570），\u901a\u5e38\u8fdc\u5c0f\u4e8e <\/p>\n

        N<\/p>\n

        t<\/p>\n

        N_t<\/p>\n

        <\/span><\/span>N<\/span><\/span>t<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u6240\u4ee5\u8ba1\u7b97\u662f\u9ad8\u6548\u7684\u3002<\/p>\n

        4.3 \u4fe1\u53f7\u534f\u65b9\u5dee\u7684\u5bfc\u6570<\/h4>\n

        \u5728\u8ba1\u7b97 <\/p>\n

        \u2202<\/p>\n

        M<\/p>\n

        avg<\/p>\n

        \u2202<\/p>\n

        \u03b1<\/p>\n

        m<\/p>\n

        \\\\frac{\\\\partial \\\\mathbf{M}_{\\\\text{avg}}}{\\\\partial \\\\alpha_m}<\/p>\n

        <\/span><\/span><\/span><\/span>\u2202<\/span>\u03b1<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2202<\/span>M<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u65f6，\u9700\u8981\u7528\u5230\u4fe1\u53f7\u534f\u65b9\u5dee\u5bf9\u6743\u91cd\u7684\u5bfc\u6570：<\/p>\n

        <\/p>\n

        \u2202<\/p>\n

        S<\/p>\n

        avg<\/p>\n

        [<\/p>\n

        i<\/p>\n

        ,<\/p>\n

        k<\/p>\n

        ]<\/p>\n

        \u2202<\/p>\n

        \u03b1<\/p>\n

        m<\/p>\n

        =<\/p>\n

        H<\/p>\n

        i<\/p>\n

        ,<\/p>\n

        k<\/p>\n

        ,<\/p>\n

        i<\/p>\n

        (<\/p>\n

        V<\/p>\n

        (<\/p>\n

        m<\/p>\n

        )<\/p>\n

        [<\/p>\n

        i<\/p>\n

        ,<\/p>\n

        k<\/p>\n

        ]<\/p>\n

        V<\/p>\n

        avg<\/p>\n

        [<\/p>\n

        i<\/p>\n

        ,<\/p>\n

        k<\/p>\n

        ]<\/p>\n

        H<\/p>\n

        +<\/p>\n

        V<\/p>\n

        avg<\/p>\n

        [<\/p>\n

        i<\/p>\n

        ,<\/p>\n

        k<\/p>\n

        ]<\/p>\n

        V<\/p>\n

        (<\/p>\n

        m<\/p>\n

        )<\/p>\n

        [<\/p>\n

        i<\/p>\n

        ,<\/p>\n

        k<\/p>\n

        ]<\/p>\n

        H<\/p>\n

        )<\/p>\n

        H<\/p>\n

        i<\/p>\n

        ,<\/p>\n

        k<\/p>\n

        ,<\/p>\n

        i<\/p>\n

        H<\/p>\n

        \\\\frac{\\\\partial \\\\mathbf{S}_{\\\\text{avg}}[i,k]}{\\\\partial \\\\alpha_m} = \\\\mathbf{H}_{i,k,i} \\\\left( \\\\mathbf{V}^{(m)}[i,k] \\\\mathbf{V}_{\\\\text{avg}}[i,k]^H + \\\\mathbf{V}_{\\\\text{avg}}[i,k] \\\\mathbf{V}^{(m)}[i,k]^H \\\\right) \\\\mathbf{H}_{i,k,i}^H <\/p>\n

        <\/span><\/span><\/span><\/span>\u2202<\/span>\u03b1<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2202<\/span>S<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>H<\/span><\/span>i<\/span>,<\/span>k<\/span>,<\/span>i<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span><\/span>V<\/span><\/span>(<\/span>m<\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span>V<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span>H<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span>V<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span>V<\/span><\/span>(<\/span>m<\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span>H<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span>H<\/span><\/span>i<\/span>,<\/span>k<\/span>,<\/span>i<\/span><\/span><\/span><\/span><\/span>H<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u8fd9\u91cc\u7684 <\/p>\n

        V<\/p>\n

        (<\/p>\n

        m<\/p>\n

        )<\/p>\n

        [<\/p>\n

        i<\/p>\n

        ,<\/p>\n

        k<\/p>\n

        ]<\/p>\n

        \\\\mathbf{V}^{(m)}[i,k]<\/p>\n

        <\/span><\/span>V<\/span><\/span>(<\/span>m<\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span><\/span><\/span><\/span> \u662f\u7b2c <\/p>\n

        m<\/p>\n

        m<\/p>\n

        <\/span><\/span>m<\/span><\/span><\/span><\/span><\/span> \u4e2a\u57fa\u9884\u7f16\u7801\u5668\u5728\u7528\u6237 <\/p>\n

        i<\/p>\n

        i<\/p>\n

        <\/span><\/span>i<\/span><\/span><\/span><\/span><\/span> \u7b2c <\/p>\n

        k<\/p>\n

        k<\/p>\n

        <\/span><\/span>k<\/span><\/span><\/span><\/span><\/span> \u5c42\u7684\u9884\u7f16\u7801\u77e9\u9635\u3002<\/p>\n

        \u8fd9\u4e2a\u516c\u5f0f\u7684\u76f4\u89c9\u662f：\u4fe1\u53f7\u534f\u65b9\u5dee\u5bf9\u6743\u91cd\u7684\u53d8\u5316\u7387，\u53d6\u51b3\u4e8e\u57fa\u9884\u7f16\u7801\u5668\u4e0e\u5e73\u5747\u9884\u7f16\u7801\u5668\u4e4b\u95f4\u7684\u201c\u5bf9\u9f50\u7a0b\u5ea6\u201d\u3002\u5982\u679c\u67d0\u4e2a\u57fa\u9884\u7f16\u7801\u5668\u7684\u65b9\u5411\u4e0e\u5e73\u5747\u65b9\u5411\u4e00\u81f4，\u589e\u52a0\u5b83\u7684\u6743\u91cd\u4f1a\u663e\u8457\u6539\u53d8\u4fe1\u53f7\u534f\u65b9\u5dee；\u53cd\u4e4b\u5219\u5f71\u54cd\u8f83\u5c0f\u3002<\/p>\n

        \u4e94\u3001\u4e8c\u9636\u8fd1\u4f3c：\u4ece\u201c\u65b9\u5411\u201d\u5230\u201c\u6b65\u957f\u201d<\/h3>\n

        \u68af\u5ea6\u544a\u8bc9\u6211\u4eec\u5f80\u54ea\u4e2a\u65b9\u5411\u8d70，\u4f46\u6ca1\u544a\u8bc9\u6211\u4eec\u8d70\u591a\u8fdc\u3002\u4e8c\u9636\u4fe1\u606f（Hessian \u77e9\u9635）\u5219\u56de\u7b54\u4e86\u8fd9\u4e2a\u95ee\u9898\u3002<\/p>\n

        5.1 \u4e3a\u4ec0\u4e48\u8981\u4e8c\u9636\u8fd1\u4f3c？<\/h4>\n

        \u5982\u679c\u53ea\u4f7f\u7528\u68af\u5ea6\u4fe1\u606f（\u4e00\u9636\u8fd1\u4f3c），\u6211\u4eec\u53ea\u80fd\u505a\u68af\u5ea6\u4e0a\u5347\u2014\u2014\u6bcf\u6b21\u671d\u68af\u5ea6\u65b9\u5411\u8d70\u4e00\u5c0f\u6b65，\u9700\u8981\u591a\u6b21\u8fed\u4ee3\u624d\u80fd\u6536\u655b\u3002<\/p>\n

        \u8bba\u6587\u7684\u76ee\u6807\u662f\u76f4\u63a5\u6c42\u89e3\u6700\u4f18\u6743\u91cd，\u800c\u4e0d\u662f\u8fed\u4ee3\u903c\u8fd1\u3002\u56e0\u6b64，\u9700\u8981\u5728\u5e73\u5747\u5de5\u4f5c\u70b9\u9644\u8fd1\u5bf9 <\/p>\n

        f<\/p>\n

        (<\/p>\n

        \u03b1<\/p>\n

        )<\/p>\n

        f(\\\\boldsymbol{\\\\alpha})<\/p>\n

        <\/span><\/span>f<\/span>(<\/span>\u03b1<\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span> \u505a\u4e8c\u9636\u6cf0\u52d2\u5c55\u5f00，\u6784\u9020\u4e00\u4e2a\u4e8c\u6b21\u8fd1\u4f3c\u95ee\u9898，\u7136\u540e\u4e00\u6b65\u5230\u4f4d\u6c42\u51fa\u6700\u4f18\u89e3\u3002<\/p>\n

        5.2 \u7ebf\u6027\u7cfb\u7edf\u7684\u6784\u9020<\/h4>\n

        \u901a\u8fc7\u5bf9 <\/p>\n

        f<\/p>\n

        (<\/p>\n

        \u03b1<\/p>\n

        )<\/p>\n

        f(\\\\boldsymbol{\\\\alpha})<\/p>\n

        <\/span><\/span>f<\/span>(<\/span>\u03b1<\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span> \u505a\u4e8c\u9636\u8fd1\u4f3c，\u8bba\u6587\u5c06\u4f18\u5316\u95ee\u9898\u8f6c\u5316\u4e3a\u4e00\u4e2a\u7ebf\u6027\u7cfb\u7edf：<\/p>\n

        <\/p>\n

        A<\/p>\n

        \u03b1<\/p>\n

        =<\/p>\n

        b<\/p>\n

        \\\\mathbf{A} \\\\boldsymbol{\\\\alpha} = \\\\mathbf{b} <\/p>\n

        <\/span><\/span>A<\/span>\u03b1<\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>b<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u5176\u4e2d：<\/p>\n

          \n
        • \u77e9\u9635 \n

          A<\/p>\n

          \\\\mathbf{A}<\/p>\n

          <\/span><\/span>A<\/span><\/span><\/span><\/span><\/span> \u7531\u4e8c\u9636\u9879（Hessian \u8fd1\u4f3c）\u548c\u9884\u7f16\u7801\u5668\u76f8\u4f3c\u6027\u60e9\u7f5a\u9879\u7ec4\u6210；<\/li>\n

        • \u5411\u91cf \n

          b<\/p>\n

          \\\\mathbf{b}<\/p>\n

          <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u7531\u4e00\u9636\u68af\u5ea6\u9879\u7ec4\u6210\u3002<\/li>\n<\/ul>\n

          \u6b64\u5916，\u8fd8\u9700\u8981\u8003\u8651\u5f52\u4e00\u5316\u7ea6\u675f <\/p>\n

          \u2211<\/p>\n

          b<\/p>\n

          =<\/p>\n

          1<\/p>\n

          B<\/p>\n

          \u03b1<\/p>\n

          b<\/p>\n

          =<\/p>\n

          1<\/p>\n

          \\\\sum_{b=1}^{B} \\\\alpha_b = 1<\/p>\n

          <\/span><\/span>\u2211<\/span><\/span>b<\/span>=<\/span>1<\/span><\/span><\/span><\/span><\/span>B<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03b1<\/span><\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u3002\u8bba\u6587\u901a\u8fc7\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u6cd5\u5c06\u7ea6\u675f\u878d\u5165\u7ebf\u6027\u7cfb\u7edf：<\/p>\n

          <\/p>\n

          [<\/p>\n

          A<\/p>\n

          1<\/p>\n

          1<\/p>\n

          T<\/p>\n

          0<\/p>\n

          ]<\/p>\n

          [<\/p>\n

          \u03b1<\/p>\n

          \u03bb<\/p>\n

          ]<\/p>\n

          =<\/p>\n

          [<\/p>\n

          b<\/p>\n

          1<\/p>\n

          ]<\/p>\n

          \\\\begin{bmatrix} \\\\mathbf{A} & \\\\mathbf{1} \\\\\\\\ \\\\mathbf{1}^T & 0 \\\\end{bmatrix} \\\\begin{bmatrix} \\\\boldsymbol{\\\\alpha} \\\\\\\\ \\\\lambda \\\\end{bmatrix} = \\\\begin{bmatrix} \\\\mathbf{b} \\\\\\\\ 1 \\\\end{bmatrix} <\/p>\n

          <\/span><\/span>[<\/span><\/span><\/span>A<\/span><\/span><\/span><\/span>1<\/span><\/span>T<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span>[<\/span><\/span><\/span>\u03b1<\/span><\/span><\/span><\/span><\/span><\/span>\u03bb<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>[<\/span><\/span><\/span>b<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

          \u5176\u4e2d <\/p>\n

          \u03bb<\/p>\n

          \\\\lambda<\/p>\n

          <\/span><\/span>\u03bb<\/span><\/span><\/span><\/span><\/span> \u662f\u62c9\u683c\u6717\u65e5\u4e58\u5b50\u3002<\/p>\n

          5.3 \u60e9\u7f5a\u9879\u7684\u4f5c\u7528<\/h4>\n

          \u77e9\u9635 <\/p>\n

          A<\/p>\n

          \\\\mathbf{A}<\/p>\n

          <\/span><\/span>A<\/span><\/span><\/span><\/span><\/span> \u4e2d\u5305\u542b\u4e00\u4e2a\u9884\u7f16\u7801\u5668\u76f8\u4f3c\u6027\u60e9\u7f5a\u9879\u3002\u5b83\u7684\u4f5c\u7528\u662f：<\/p>\n

          \u5f53\u4e24\u4e2a\u57fa\u9884\u7f16\u7801\u5668\u9ad8\u5ea6\u76f8\u5173\u65f6（\u4f8b\u5982 ZF \u548c RZF \u5728 <\/p>\n

          \u03b2<\/p>\n

          \\\\beta<\/p>\n

          <\/span><\/span>\u03b2<\/span><\/span><\/span><\/span><\/span> \u5f88\u5c0f\u65f6\u975e\u5e38\u76f8\u4f3c），\u5b83\u4eec\u5bf9\u5e94\u7684\u6743\u91cd\u53ef\u80fd\u4f1a\u4ea7\u751f\u6570\u503c\u4e0d\u7a33\u5b9a\u6027\u2014\u2014\u56e0\u4e3a\u76f8\u4f3c\u7684\u9884\u7f16\u7801\u5668\u5bf9\u901f\u7387\u7684\u8d21\u732e\u4e5f\u76f8\u4f3c，\u5bfc\u81f4 Hessian \u77e9\u9635\u63a5\u8fd1\u5947\u5f02\u3002<\/p>\n

          \u60e9\u7f5a\u9879\u901a\u8fc7\u5728 <\/p>\n

          A<\/p>\n

          \\\\mathbf{A}<\/p>\n

          <\/span><\/span>A<\/span><\/span><\/span><\/span><\/span> \u7684\u5bf9\u89d2\u7ebf\u6216\u76f8\u5173\u4f4d\u7f6e\u6dfb\u52a0\u5c0f\u7684\u6b63\u5219\u5316\u91cf，\u6539\u5584\u77e9\u9635\u7684\u6761\u4ef6\u6570，\u4fdd\u8bc1\u7ebf\u6027\u7cfb\u7edf\u53ef\u89e3\u3002\u8fd9\u7c7b\u4f3c\u4e8e Ridge \u56de\u5f52\u4e2d\u7684 <\/p>\n

          \u2113<\/p>\n

          2<\/p>\n

          \\\\ell_2<\/p>\n

          <\/span><\/span>\u2113<\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u6b63\u5219\u5316\u3002<\/p>\n

          \u516d\u3001\u515c\u5e95\u65b9\u6848：\u5f53\u7ebf\u6027\u7cfb\u7edf\u201c\u751f\u75c5\u201d\u65f6<\/h3>\n

          6.1 \u4ec0\u4e48\u65f6\u5019\u9700\u8981\u515c\u5e95？<\/h4>\n

          \u867d\u7136\u8bba\u6587\u5728 10,000 \u6b21\u8499\u7279\u5361\u6d1b\u4eff\u771f\u4e2d\u6ca1\u6709\u89e6\u53d1\u515c\u5e95\u673a\u5236，\u4f46\u5728\u7406\u8bba\u4e0a，\u4ee5\u4e0b\u60c5\u51b5\u53ef\u80fd\u5bfc\u81f4\u7ebf\u6027\u7cfb\u7edf\u65e0\u6cd5\u6c42\u89e3：<\/p>\n

        • \u77e9\u9635\u5947\u5f02：\n

          A<\/p>\n

          \\\\mathbf{A}<\/p>\n

          <\/span><\/span>A<\/span><\/span><\/span><\/span><\/span> \u7684\u6761\u4ef6\u6570\u8fc7\u5927，\u6c42\u9006\u4e0d\u7a33\u5b9a\u3002<\/li>\n

        • \u6570\u503c\u6ea2\u51fa：\u5728\u6781\u7aef\u4fe1\u9053\u6761\u4ef6\u4e0b（\u5982\u6df1\u5ea6\u8870\u843d），\u77e9\u9635\u5143\u7d20\u53ef\u80fd\u8fc7\u5927\u6216\u8fc7\u5c0f\u3002<\/li>\n
        • \u57fa\u9884\u7f16\u7801\u5668\u9ad8\u5ea6\u5197\u4f59：\u591a\u4e2a\u57fa\u9884\u7f16\u7801\u5668\u7684\u884c\u4e3a\u51e0\u4e4e\u76f8\u540c，\u5bfc\u81f4 \n

          A<\/p>\n

          \\\\mathbf{A}<\/p>\n

          <\/span><\/span>A<\/span><\/span><\/span><\/span><\/span> \u63a5\u8fd1\u5947\u5f02\u3002<\/li>\n

          6.2 \u57fa\u4e8e SINR \u7684\u542f\u53d1\u5f0f\u6743\u91cd<\/h4>\n

          \u5f53\u89e3\u6790\u89e3\u4e0d\u53ef\u884c\u65f6，\u8bba\u6587\u63d0\u4f9b\u4e86\u4e00\u4e2a\u57fa\u4e8e SINR \u7684\u542f\u53d1\u5f0f\u65b9\u6cd5\u3002<\/p>\n

          \u57fa\u672c\u601d\u60f3\u662f：\u7ed9\u90a3\u4e9b\u5728\u7ed9\u5b9a\u4fe1\u9053\u6761\u4ef6\u4e0b\u8868\u73b0\u66f4\u597d\u7684\u57fa\u9884\u7f16\u7801\u5668\u5206\u914d\u66f4\u9ad8\u7684\u6743\u91cd\u3002<\/p>\n

          \u5177\u4f53\u6765\u8bf4，\u5bf9\u4e8e\u7b2c <\/p>\n

          b<\/p>\n

          b<\/p>\n

          <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u4e2a\u57fa\u9884\u7f16\u7801\u5668，\u8ba1\u7b97\u5b83\u5728\u6240\u6709\u7528\u6237\u548c\u6240\u6709\u5c42\u4e0a\u7684\u5e73\u5747 SINR：<\/p>\n

          <\/p>\n

          SINR<\/p>\n

          i<\/p>\n

          ,<\/p>\n

          k<\/p>\n

          (<\/p>\n

          b<\/p>\n

          )<\/p>\n

          =<\/p>\n

          \u2225<\/p>\n

          H<\/p>\n

          i<\/p>\n

          ,<\/p>\n

          k<\/p>\n

          ,<\/p>\n

          i<\/p>\n

          V<\/p>\n

          i<\/p>\n

          ,<\/p>\n

          k<\/p>\n

          (<\/p>\n

          b<\/p>\n

          )<\/p>\n

          \u2225<\/p>\n

          F<\/p>\n

          2<\/p>\n

          \u03c3<\/p>\n

          2<\/p>\n

          +<\/p>\n

          \u2211<\/p>\n

          j<\/p>\n

          \u2260<\/p>\n

          i<\/p>\n

          \u2225<\/p>\n

          H<\/p>\n

          i<\/p>\n

          ,<\/p>\n

          k<\/p>\n

          ,<\/p>\n

          j<\/p>\n

          V<\/p>\n

          i<\/p>\n

          ,<\/p>\n

          k<\/p>\n

          (<\/p>\n

          b<\/p>\n

          )<\/p>\n

          \u2225<\/p>\n

          F<\/p>\n

          2<\/p>\n

          \\\\text{SINR}_{i,k}^{(b)} = \\\\frac{\\\\| \\\\mathbf{H}_{i,k,i} \\\\mathbf{V}_{i,k}^{(b)} \\\\|_F^2}{\\\\sigma^2 + \\\\sum_{j \\\\neq i} \\\\| \\\\mathbf{H}_{i,k,j} \\\\mathbf{V}_{i,k}^{(b)} \\\\|_F^2} <\/p>\n

          <\/span><\/span>SINR<\/span><\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>(<\/span>b<\/span>)<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span><\/span><\/span>\u03c3<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span>\u2211<\/span><\/span>j<\/span><\/span>\ue020<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>i<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2225<\/span>H<\/span><\/span>i<\/span>,<\/span>k<\/span>,<\/span>j<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>(<\/span>b<\/span>)<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2225<\/span><\/span>F<\/span><\/span><\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2225<\/span>H<\/span><\/span>i<\/span>,<\/span>k<\/span>,<\/span>i<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>(<\/span>b<\/span>)<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2225<\/span><\/span>F<\/span><\/span><\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

          \u7136\u540e，\u7b2c <\/p>\n

          b<\/p>\n

          b<\/p>\n

          <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span> \u4e2a\u57fa\u9884\u7f16\u7801\u5668\u7684\u6743\u91cd\u4e3a：<\/p>\n

          <\/p>\n

          \u03b1<\/p>\n

          b<\/p>\n

          =<\/p>\n

          \u2211<\/p>\n

          i<\/p>\n

          ,<\/p>\n

          k<\/p>\n

          log<\/p>\n

          \u2061<\/p>\n

          2<\/p>\n

          (<\/p>\n

          1<\/p>\n

          +<\/p>\n

          SINR<\/p>\n

          i<\/p>\n

          ,<\/p>\n

          k<\/p>\n

          (<\/p>\n

          b<\/p>\n

          )<\/p>\n

          )<\/p>\n

          \u2211<\/p>\n

          b<\/p>\n

          \u2032<\/p>\n

          \u2211<\/p>\n

          i<\/p>\n

          ,<\/p>\n

          k<\/p>\n

          log<\/p>\n

          \u2061<\/p>\n

          2<\/p>\n

          (<\/p>\n

          1<\/p>\n

          +<\/p>\n

          SINR<\/p>\n

          i<\/p>\n

          ,<\/p>\n

          k<\/p>\n

          (<\/p>\n

          b<\/p>\n

          \u2032<\/p>\n

          )<\/p>\n

          )<\/p>\n

          \\\\alpha_b = \\\\frac{\\\\sum_{i,k} \\\\log_2\\\\left(1 + \\\\text{SINR}_{i,k}^{(b)}\\\\right)}{\\\\sum_{b'} \\\\sum_{i,k} \\\\log_2\\\\left(1 + \\\\text{SINR}_{i,k}^{(b')}\\\\right)} <\/p>\n

          <\/span><\/span>\u03b1<\/span><\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span><\/span><\/span>\u2211<\/span><\/span>b<\/span><\/span>\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2211<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>log<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span><\/span>1<\/span><\/span>+<\/span><\/span>SINR<\/span><\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>(<\/span>b<\/span><\/span>\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2211<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>log<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span><\/span>1<\/span><\/span>+<\/span><\/span>SINR<\/span><\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>(<\/span>b<\/span>)<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

          \u8fd9\u4e2a\u65b9\u6cd5\u7684\u4f18\u70b9\u662f：<\/p>\n

            \n
          • \u65e0\u9700\u77e9\u9635\u6c42\u9006，\u8ba1\u7b97\u590d\u6742\u5ea6\u6781\u4f4e；<\/li>\n
          • \u5feb\u901f\u751f\u6210\u53ef\u884c\u89e3，\u4fdd\u8bc1\u7b97\u6cd5\u5728\u4efb\u4f55\u60c5\u51b5\u4e0b\u90fd\u80fd\u8f93\u51fa\u7ed3\u679c；<\/li>\n
          • \u6027\u80fd\u5408\u7406，\u867d\u7136\u4e0d\u662f\u6700\u4f18，\u4f46\u901a\u5e38\u4f18\u4e8e\u7b49\u6743\u91cd\u878d\u5408\u3002<\/li>\n<\/ul>\n

            \u8bba\u6587\u6307\u51fa，\u867d\u7136 Bussgang \u6a21\u578b\u662f\u4e00\u4e2a\u8fd1\u4f3c\u6a21\u578b，\u5b9e\u9645\u7684\u786c\u4ef6\u5931\u771f\u901a\u5e38\u66f4\u590d\u6742，\u4f46\u878d\u5408\u6743\u91cd\u662f\u901a\u8fc7\u6700\u5927\u5316\u6574\u4f53\u6027\u80fd\u6307\u6807\u83b7\u5f97\u7684，\u800c\u4e0d\u662f\u4f9d\u8d56\u4e8e\u7cbe\u786e\u7684\u5931\u771f\u5206\u5e03，\u56e0\u6b64\u5bf9\u5931\u771f\u6a21\u578b\u7684\u504f\u5dee\u5177\u6709\u4e00\u5b9a\u7684\u5bb9\u5fcd\u5ea6\u3002<\/p>\n

            \u4e03\u3001\u5b8c\u6574\u7b97\u6cd5\u6d41\u7a0b<\/h3>\n

            \u73b0\u5728\u6211\u4eec\u53ef\u4ee5\u628a\u6574\u4e2a\u7b97\u6cd5\u4e32\u8d77\u6765\u4e86\u3002<\/p>\n

            7.1 \u7b97\u6cd5\u6b65\u9aa4<\/h4>\n

            \u8f93\u5165：<\/p>\n

              \n
            • \u6240\u6709\u7528\u6237\u7684\u4fe1\u9053\u77e9\u9635 \n

              H<\/p>\n

              i<\/p>\n

              ,<\/p>\n

              k<\/p>\n

              ,<\/p>\n

              j<\/p>\n

              \\\\mathbf{H}_{i,k,j}<\/p>\n

              <\/span><\/span>H<\/span><\/span>i<\/span>,<\/span>k<\/span>,<\/span>j<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n

            • \u6240\u6709\u57fa\u9884\u7f16\u7801\u5668 \n

              V<\/p>\n

              i<\/p>\n

              ,<\/p>\n

              k<\/p>\n

              (<\/p>\n

              b<\/p>\n

              )<\/p>\n

              \\\\mathbf{V}_{i,k}^{(b)}<\/p>\n

              <\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>(<\/span>b<\/span>)<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n

            • \u566a\u58f0\u529f\u7387 \n

              \u03c3<\/p>\n

              2<\/p>\n

              \\\\sigma^2<\/p>\n

              <\/span><\/span>\u03c3<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n

            • \u786c\u4ef6\u635f\u4f24\u56e0\u5b50 \n

              \u03ba<\/p>\n

              \\\\kappa<\/p>\n

              <\/span><\/span>\u03ba<\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n

              \u8f93\u51fa：<\/p>\n

                \n
              • \u878d\u5408\u6743\u91cd \n

                \u03b1<\/p>\n

                =<\/p>\n

                [<\/p>\n

                \u03b1<\/p>\n

                1<\/p>\n

                ,<\/p>\n

                \u2026<\/p>\n

                ,<\/p>\n

                \u03b1<\/p>\n

                B<\/p>\n

                ]<\/p>\n

                \\\\boldsymbol{\\\\alpha} = [\\\\alpha_1, \\\\ldots, \\\\alpha_B]<\/p>\n

                <\/span><\/span>\u03b1<\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>[<\/span>\u03b1<\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>\u2026<\/span><\/span>,<\/span><\/span>\u03b1<\/span><\/span>B<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span><\/span><\/li>\n

              • \u878d\u5408\u540e\u7684\u9884\u7f16\u7801\u77e9\u9635 \n

                V<\/p>\n

                i<\/p>\n

                ,<\/p>\n

                k<\/p>\n

                \\\\mathbf{V}_{i,k}<\/p>\n

                <\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n

                \u6b65\u9aa4：<\/p>\n

              • \n

                \u8ba1\u7b97\u5e73\u5747\u5de5\u4f5c\u70b9： <\/p>\n

                V<\/p>\n

                avg<\/p>\n

                [<\/p>\n

                i<\/p>\n

                ,<\/p>\n

                k<\/p>\n

                ]<\/p>\n

                =<\/p>\n

                1<\/p>\n

                B<\/p>\n

                \u2211<\/p>\n

                b<\/p>\n

                =<\/p>\n

                1<\/p>\n

                B<\/p>\n

                V<\/p>\n

                i<\/p>\n

                ,<\/p>\n

                k<\/p>\n

                (<\/p>\n

                b<\/p>\n

                )<\/p>\n

                \\\\mathbf{V}_{\\\\text{avg}}[i,k] = \\\\frac{1}{B} \\\\sum_{b=1}^{B} \\\\mathbf{V}_{i,k}^{(b)} <\/p>\n

                <\/span><\/span>V<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span>=<\/span><\/span><\/span><\/span><\/span><\/span>B<\/span><\/span><\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>b<\/span>=<\/span>1<\/span><\/span><\/span><\/span><\/span>\u2211<\/span><\/span><\/span><\/span>B<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>(<\/span>b<\/span>)<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n

              • \n

                \u8ba1\u7b97\u8f85\u52a9\u77e9\u9635：<\/p>\n

                  \n
                • \u4fe1\u53f7\u534f\u65b9\u5dee \n

                  S<\/p>\n

                  avg<\/p>\n

                  [<\/p>\n

                  i<\/p>\n

                  ,<\/p>\n

                  k<\/p>\n

                  ]<\/p>\n

                  \\\\mathbf{S}_{\\\\text{avg}}[i,k]<\/p>\n

                  <\/span><\/span>S<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span><\/span><\/span><\/span><\/li>\n

                • \u5e72\u6270\u52a0\u566a\u58f0\u534f\u65b9\u5dee \n

                  \u03a3<\/p>\n

                  avg<\/p>\n

                  [<\/p>\n

                  i<\/p>\n

                  ,<\/p>\n

                  k<\/p>\n

                  ]<\/p>\n

                  \\\\boldsymbol{\\\\Sigma}_{\\\\text{avg}}[i,k]<\/p>\n

                  <\/span><\/span>\u03a3<\/span><\/span><\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span><\/span><\/span><\/span><\/li>\n

                • \u8f85\u52a9\u77e9\u9635 \n

                  M<\/p>\n

                  avg<\/p>\n

                  [<\/p>\n

                  i<\/p>\n

                  ,<\/p>\n

                  k<\/p>\n

                  ]<\/p>\n

                  =<\/p>\n

                  I<\/p>\n

                  +<\/p>\n

                  S<\/p>\n

                  avg<\/p>\n

                  [<\/p>\n

                  i<\/p>\n

                  ,<\/p>\n

                  k<\/p>\n

                  ]<\/p>\n

                  \u03a3<\/p>\n

                  avg<\/p>\n

                  [<\/p>\n

                  i<\/p>\n

                  ,<\/p>\n

                  k<\/p>\n

                  ]<\/p>\n

                  \u2212<\/p>\n

                  1<\/p>\n

                  \\\\mathbf{M}_{\\\\text{avg}}[i,k] = \\\\mathbf{I} + \\\\mathbf{S}_{\\\\text{avg}}[i,k] \\\\boldsymbol{\\\\Sigma}_{\\\\text{avg}}[i,k]^{-1}<\/p>\n

                  <\/span><\/span>M<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span>=<\/span><\/span><\/span><\/span>I<\/span><\/span>+<\/span><\/span><\/span><\/span>S<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span>\u03a3<\/span><\/span><\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span>\u2212<\/span>1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n<\/li>\n

                • \n

                  \u8ba1\u7b97\u68af\u5ea6 <\/p>\n

                  g<\/p>\n

                  m<\/p>\n

                  g_m<\/p>\n

                  <\/span><\/span>g<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>： <\/p>\n

                  g<\/p>\n

                  m<\/p>\n

                  =<\/p>\n

                  tr<\/p>\n

                  (<\/p>\n

                  M<\/p>\n

                  avg<\/p>\n

                  [<\/p>\n

                  i<\/p>\n

                  ,<\/p>\n

                  k<\/p>\n

                  ]<\/p>\n

                  \u2212<\/p>\n

                  1<\/p>\n

                  \u2202<\/p>\n

                  M<\/p>\n

                  avg<\/p>\n

                  [<\/p>\n

                  i<\/p>\n

                  ,<\/p>\n

                  k<\/p>\n

                  ]<\/p>\n

                  \u2202<\/p>\n

                  \u03b1<\/p>\n

                  m<\/p>\n

                  )<\/p>\n

                  g_m = \\\\text{tr}\\\\left( \\\\mathbf{M}_{\\\\text{avg}}[i,k]^{-1} \\\\frac{\\\\partial \\\\mathbf{M}_{\\\\text{avg}}[i,k]}{\\\\partial \\\\alpha_m} \\\\right) <\/p>\n

                  <\/span><\/span>g<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>tr<\/span><\/span><\/span>(<\/span><\/span>M<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span>\u2212<\/span>1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2202<\/span>\u03b1<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2202<\/span>M<\/span><\/span>avg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>i<\/span>,<\/span><\/span>k<\/span>]<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n

                • \n

                  \u6784\u9020\u7ebf\u6027\u7cfb\u7edf：<\/p>\n

                    \n
                  • \u7528\u4e8c\u9636\u9879\u548c\u60e9\u7f5a\u9879\u6784\u9020 \n

                    A<\/p>\n

                    \\\\mathbf{A}<\/p>\n

                    <\/span><\/span>A<\/span><\/span><\/span><\/span><\/span><\/li>\n

                  • \u7528\u68af\u5ea6\u6784\u9020 \n

                    b<\/p>\n

                    \\\\mathbf{b}<\/p>\n

                    <\/span><\/span>b<\/span><\/span><\/span><\/span><\/span><\/li>\n

                  • \u52a0\u5165\u5f52\u4e00\u5316\u7ea6\u675f<\/li>\n<\/ul>\n<\/li>\n
                  • \n

                    \u6c42\u89e3\u7ebf\u6027\u7cfb\u7edf：<\/p>\n

                      \n
                    • \u5982\u679c\u7a33\u5b9a，\u5f97\u5230\u89e3\u6790\u89e3 \n

                      \u03b1<\/p>\n

                      \\\\boldsymbol{\\\\alpha}<\/p>\n

                      <\/span><\/span>\u03b1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n

                    • \u5982\u679c\u4e0d\u7a33\u5b9a，\u4f7f\u7528 SINR \u542f\u53d1\u5f0f\u65b9\u6cd5<\/li>\n<\/ul>\n<\/li>\n
                    • \n

                      \u6784\u9020\u878d\u5408\u9884\u7f16\u7801\u5668： <\/p>\n

                      V<\/p>\n

                      i<\/p>\n

                      ,<\/p>\n

                      k<\/p>\n

                      =<\/p>\n

                      \u2211<\/p>\n

                      b<\/p>\n

                      =<\/p>\n

                      1<\/p>\n

                      B<\/p>\n

                      \u03b1<\/p>\n

                      b<\/p>\n

                      V<\/p>\n

                      i<\/p>\n

                      ,<\/p>\n

                      k<\/p>\n

                      (<\/p>\n

                      b<\/p>\n

                      )<\/p>\n

                      \\\\mathbf{V}_{i,k} = \\\\sum_{b=1}^{B} \\\\alpha_b \\\\mathbf{V}_{i,k}^{(b)} <\/p>\n

                      <\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span><\/span>b<\/span>=<\/span>1<\/span><\/span><\/span><\/span><\/span>\u2211<\/span><\/span><\/span><\/span>B<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03b1<\/span><\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>V<\/span><\/span>i<\/span>,<\/span>k<\/span><\/span><\/span><\/span><\/span>(<\/span>b<\/span>)<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n

                      7.2 \u7b97\u6cd5\u7684\u5173\u952e\u7279\u5f81<\/h4>\n\n\u7279\u5f81\u8bf4\u660e<\/tr>\n\n\n\n\n\n\n
                      \u5355\u6b21\u6c42\u89e3<\/td>\n\u4e0d\u9700\u8981\u8fed\u4ee3，\u4e00\u6b21\u7ebf\u6027\u7cfb\u7edf\u6c42\u89e3\u5373\u5f97\u7ed3\u679c<\/td>\n<\/tr>\n
                      \u4f4e\u7ef4\u4f18\u5316<\/td>\n\u4f18\u5316\u53d8\u91cf\u53ea\u6709 <\/p>\n

                      B<\/p>\n

                      B<\/p>\n

                      <\/span><\/span>B<\/span><\/span><\/span><\/span><\/span> \u4e2a（\u901a\u5e38 4~5）<\/td>\n<\/tr>\n

                      \u95ed\u5f0f\u89e3<\/td>\n\u5728\u6b63\u5e38\u60c5\u51b5\u4e0b，\u6743\u91cd\u6709\u89e3\u6790\u8868\u8fbe\u5f0f<\/td>\n<\/tr>\n
                      \u515c\u5e95\u673a\u5236<\/td>\n\u6570\u503c\u4e0d\u7a33\u5b9a\u65f6\u6709 SINR \u542f\u53d1\u5f0f\u4fdd\u5e95<\/td>\n<\/tr>\n
                      \u6a21\u5757\u5316<\/td>\n\u57fa\u9884\u7f16\u7801\u5668\u53ef\u968f\u65f6\u66ff\u6362\u6216\u6269\u5145<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

                      \u516b\u3001\u590d\u6742\u5ea6\u5206\u6790<\/h3>\n

                      8.1 \u4e09\u4e2a\u8ba1\u7b97\u73af\u8282<\/h4>\n

                      \u8bba\u6587\u5c06\u7b97\u6cd5\u7684\u8ba1\u7b97\u590d\u6742\u5ea6\u5206\u89e3\u4e3a\u4e09\u4e2a\u90e8\u5206\u3010Response Letter, Reviewer 4, Comment 1\u3011：<\/p>\n\n\u73af\u8282\u590d\u6742\u5ea6\u8bf4\u660e<\/tr>\n\n\n\n\n
                      \u57fa\u9884\u7f16\u7801\u5668\u751f\u6210<\/td>\n<\/p>\n

                      O<\/p>\n

                      (<\/p>\n

                      B<\/p>\n

                      \u22c5<\/p>\n

                      N<\/p>\n

                      t<\/p>\n

                      3<\/p>\n

                      )<\/p>\n

                      O(B \\\\cdot N_t^3)<\/p>\n

                      <\/span><\/span>O<\/span>(<\/span>B<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>N<\/span><\/span>t<\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/td>\n

                      		<\/p>\n

                      B<\/p>\n

                      B<\/p>\n

                      <\/span><\/span>B<\/span><\/span><\/span><\/span><\/span> \u4e2a\u57fa\u9884\u7f16\u7801\u5668，\u6bcf\u4e2a\u53ef\u80fd\u6d89\u53ca\u77e9\u9635\u6c42\u9006（\u5982 ZF\u3001RZF）<\/td>\n<\/tr>\n

                      \u6743\u91cd\u4f18\u5316<\/td>\n<\/p>\n

                      O<\/p>\n

                      (<\/p>\n

                      I<\/p>\n

                      \u22c5<\/p>\n

                      K<\/p>\n

                      \u22c5<\/p>\n

                      B<\/p>\n

                      2<\/p>\n

                      \u22c5<\/p>\n

                      N<\/p>\n

                      r<\/p>\n

                      2<\/p>\n

                      +<\/p>\n

                      B<\/p>\n

                      3<\/p>\n

                      )<\/p>\n

                      O(I \\\\cdot K \\\\cdot B^2 \\\\cdot N_r^2 + B^3)<\/p>\n

                      <\/span><\/span>O<\/span>(<\/span>I<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>K<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>B<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>N<\/span><\/span>r<\/span><\/span><\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>B<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/td>\n

                      		\u6784\u9020 <\/p>\n

                      A<\/p>\n

                      \\\\mathbf{A}<\/p>\n

                      <\/span><\/span>A<\/span><\/span><\/span><\/span><\/span> + \u6c42\u89e3 <\/p>\n

                      B<\/p>\n

                      B<\/p>\n

                      <\/span><\/span>B<\/span><\/span><\/span><\/span><\/span> \u7ef4\u7ebf\u6027\u7cfb\u7edf<\/td>\n<\/tr>\n

                      \u8f85\u52a9\u77e9\u9635\u6784\u9020<\/td>\n<\/p>\n

                      O<\/p>\n

                      (<\/p>\n

                      I<\/p>\n

                      \u22c5<\/p>\n

                      K<\/p>\n

                      \u22c5<\/p>\n

                      N<\/p>\n

                      r<\/p>\n

                      3<\/p>\n

                      )<\/p>\n

                      O(I \\\\cdot K \\\\cdot N_r^3)<\/p>\n

                      <\/span><\/span>O<\/span>(<\/span>I<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>K<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>N<\/span><\/span>r<\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/td>\n

                      		\u5e72\u6270\u534f\u65b9\u5dee\u3001\u7b49\u6548\u4fe1\u9053\u77e9\u9635\u7b49<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

                      \u603b\u590d\u6742\u5ea6：<\/p>\n

                      <\/p>\n

                      O<\/p>\n

                      (<\/p>\n

                      B<\/p>\n

                      \u22c5<\/p>\n

                      N<\/p>\n

                      t<\/p>\n

                      3<\/p>\n

                      +<\/p>\n

                      I<\/p>\n

                      \u22c5<\/p>\n

                      K<\/p>\n

                      \u22c5<\/p>\n

                      B<\/p>\n

                      2<\/p>\n

                      \u22c5<\/p>\n

                      N<\/p>\n

                      r<\/p>\n

                      2<\/p>\n

                      +<\/p>\n

                      I<\/p>\n

                      \u22c5<\/p>\n

                      K<\/p>\n

                      \u22c5<\/p>\n

                      N<\/p>\n

                      r<\/p>\n

                      3<\/p>\n

                      +<\/p>\n

                      B<\/p>\n

                      3<\/p>\n

                      )<\/p>\n

                      O(B \\\\cdot N_t^3 + I \\\\cdot K \\\\cdot B^2 \\\\cdot N_r^2 + I \\\\cdot K \\\\cdot N_r^3 + B^3) <\/p>\n

                      <\/span><\/span>O<\/span>(<\/span>B<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>N<\/span><\/span>t<\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>I<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>K<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>B<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>N<\/span><\/span>r<\/span><\/span><\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>I<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>K<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>N<\/span><\/span>r<\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>B<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

                      8.2 \u4e0e WMMSE \u7684\u5bf9\u6bd4<\/h4>\n

                      \u4f5c\u4e3a\u5bf9\u6bd4，WMMSE \u6bcf\u6b21\u8fed\u4ee3\u7684\u590d\u6742\u5ea6\u4e3a：<\/p>\n

                      <\/p>\n

                      O<\/p>\n

                      (<\/p>\n

                      N<\/p>\n

                      t<\/p>\n

                      3<\/p>\n

                      +<\/p>\n

                      I<\/p>\n

                      \u22c5<\/p>\n

                      K<\/p>\n

                      \u22c5<\/p>\n

                      N<\/p>\n

                      r<\/p>\n

                      3<\/p>\n

                      )<\/p>\n

                      O(N_t^3 + I \\\\cdot K \\\\cdot N_r^3) <\/p>\n

                      <\/span><\/span>O<\/span>(<\/span>N<\/span><\/span>t<\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>I<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>K<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>N<\/span><\/span>r<\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

                      \u5047\u8bbe WMMSE \u9700\u8981 <\/p>\n

                      T<\/p>\n

                      iter<\/p>\n

                      T_{\\\\text{iter}}<\/p>\n

                      <\/span><\/span>T<\/span><\/span>iter<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u6b21\u8fed\u4ee3（\u901a\u5e38 10~50 \u6b21），\u5176\u603b\u590d\u6742\u5ea6\u4e3a：<\/p>\n

                      <\/p>\n

                      O<\/p>\n

                      (<\/p>\n

                      T<\/p>\n

                      iter<\/p>\n

                      \u22c5<\/p>\n

                      (<\/p>\n

                      N<\/p>\n

                      t<\/p>\n

                      3<\/p>\n

                      +<\/p>\n

                      I<\/p>\n

                      \u22c5<\/p>\n

                      K<\/p>\n

                      \u22c5<\/p>\n

                      N<\/p>\n

                      r<\/p>\n

                      3<\/p>\n

                      )<\/p>\n

                      )<\/p>\n

                      O(T_{\\\\text{iter}} \\\\cdot (N_t^3 + I \\\\cdot K \\\\cdot N_r^3)) <\/p>\n

                      <\/span><\/span>O<\/span>(<\/span>T<\/span><\/span>iter<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>(<\/span>N<\/span><\/span>t<\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>I<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>K<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>N<\/span><\/span>r<\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>))<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

                      \u5173\u952e\u5bf9\u6bd4：<\/p>\n\n\u7ef4\u5ea6\u878d\u5408\u9884\u7f16\u7801WMMSE<\/tr>\n\n\n\n\n\n
                      \u5355\u6b21\u590d\u6742\u5ea6<\/td>\n<\/p>\n

                      O<\/p>\n

                      (<\/p>\n

                      B<\/p>\n

                      \u22c5<\/p>\n

                      N<\/p>\n

                      t<\/p>\n

                      3<\/p>\n

                      +<\/p>\n

                      \u4f4e\u9636\u9879<\/p>\n

                      )<\/p>\n

                      O(B \\\\cdot N_t^3 + \\\\text{\u4f4e\u9636\u9879})<\/p>\n

                      <\/span><\/span>O<\/span>(<\/span>B<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>N<\/span><\/span>t<\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>\u4f4e\u9636\u9879<\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/td>\n

                      		<\/p>\n

                      O<\/p>\n

                      (<\/p>\n

                      N<\/p>\n

                      t<\/p>\n

                      3<\/p>\n

                      +<\/p>\n

                      \u4f4e\u9636\u9879<\/p>\n

                      )<\/p>\n

                      O(N_t^3 + \\\\text{\u4f4e\u9636\u9879})<\/p>\n

                      <\/span><\/span>O<\/span>(<\/span>N<\/span><\/span>t<\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>\u4f4e\u9636\u9879<\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n

                      \u662f\u5426\u8fed\u4ee3<\/td>\n\u5426（\u5355\u6b21\u6c42\u89e3）<\/td>\n\u662f（10~50 \u6b21）<\/td>\n<\/tr>\n
                      \u603b\u590d\u6742\u5ea6<\/td>\n\u8f83\u4f4e（<\/p>\n

                      B<\/p>\n

                      B<\/p>\n

                      <\/span><\/span>B<\/span><\/span><\/span><\/span><\/span> \u901a\u5e38\u4e3a 4~5）<\/td>\n

                      		\u8f83\u9ad8（\u8fed\u4ee3\u7d2f\u4e58）<\/td>\n<\/tr>\n
                      \u6536\u655b\u4fdd\u8bc1<\/td>\n\u89e3\u6790\u89e3（\u65e0\u6761\u4ef6）<\/td>\n\u9700\u76d1\u63a7\u6536\u655b<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

                      \u8bba\u6587\u7684\u7ed3\u8bba\u662f：\u867d\u7136\u878d\u5408\u9884\u7f16\u7801\u7684\u590d\u6742\u5ea6\u9ad8\u4e8e\u5355\u4e00\u95ed\u5f0f\u65b9\u6848（\u5982 ZF \u6216 MRT），\u4f46\u4e0e WMMSE \u7b49\u8fed\u4ee3\u7b97\u6cd5\u5904\u4e8e\u540c\u4e00\u6570\u91cf\u7ea7，\u4e14\u7531\u4e8e\u65e0\u9700\u8fed\u4ee3，\u5b9e\u9645\u8fd0\u884c\u65f6\u95f4\u901a\u5e38\u66f4\u77ed\u3002<\/p>\n

                      8.3 \u4eff\u771f\u4e2d\u7684\u590d\u6742\u5ea6\u9a8c\u8bc1<\/h4>\n

                      \u8bba\u6587\u901a\u8fc7\u4eff\u771f\u6d4b\u91cf\u4e86\u5404\u7b97\u6cd5\u7684\u5b9e\u9645\u8fd0\u884c\u65f6\u95f4，\u5e76\u8ba1\u7b97\u4e86\u5f52\u4e00\u5316\u590d\u6742\u5ea6：<\/p>\n

                      <\/p>\n

                      C<\/p>\n

                      norm<\/p>\n

                      alg<\/p>\n

                      =<\/p>\n

                      T<\/p>\n

                      alg<\/p>\n

                      max<\/p>\n

                      \u2061<\/p>\n

                      i<\/p>\n

                      T<\/p>\n

                      i<\/p>\n

                      C_{\\\\text{norm}}^{\\\\text{alg}} = \\\\frac{T_{\\\\text{alg}}}{\\\\max_i T_i} <\/p>\n

                      <\/span><\/span>C<\/span><\/span>norm<\/span><\/span><\/span><\/span><\/span><\/span>alg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span><\/span><\/span>max<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>T<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>T<\/span><\/span>alg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

                      \u5176\u4e2d <\/p>\n

                      T<\/p>\n

                      alg<\/p>\n

                      T_{\\\\text{alg}}<\/p>\n

                      <\/span><\/span>T<\/span><\/span>alg<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u67d0\u7b97\u6cd5\u7684\u8fd0\u884c\u65f6\u95f4，<\/p>\n

                      max<\/p>\n

                      \u2061<\/p>\n

                      i<\/p>\n

                      T<\/p>\n

                      i<\/p>\n

                      \\\\max_i T_i<\/p>\n

                      <\/span><\/span>max<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>T<\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u6240\u6709\u7b97\u6cd5\u4e2d\u7684\u6700\u5927\u8fd0\u884c\u65f6\u95f4\u3002<\/p>\n

                      \u7ed3\u679c\u663e\u793a，\u878d\u5408\u9884\u7f16\u7801\u7684\u5f52\u4e00\u5316\u590d\u6742\u5ea6\u867d\u7136\u9ad8\u4e8e\u5355\u4e00\u95ed\u5f0f\u65b9\u6848，\u4f46\u4e0e WMMSE\/RWMMSE \u76f8\u5f53，\u9a8c\u8bc1\u4e86\u5176\u5de5\u7a0b\u53ef\u884c\u6027\u3002<\/p>\n

                      \u4e5d\u3001\u4eff\u771f\u7ed3\u679c\u89e3\u8bfb<\/h3>\n

                      9.1 \u4eff\u771f\u914d\u7f6e<\/h4>\n

                      \u8bba\u6587\u7684\u4eff\u771f\u53c2\u6570\u5982\u4e0b：<\/p>\n\n\u53c2\u6570\u503c\u8bf4\u660e<\/tr>\n\n\n\n\n\n\n\n\n\n\n
                      <\/p>\n

                      I<\/p>\n

                      I<\/p>\n

                      <\/span><\/span>I<\/span><\/span><\/span><\/span><\/span><\/td>\n

                      		2<\/td>\n\u7528\u6237\u6570<\/td>\n<\/tr>\n
                      <\/p>\n

                      K<\/p>\n

                      K<\/p>\n

                      <\/span><\/span>K<\/span><\/span><\/span><\/span><\/span><\/td>\n

                      		2<\/td>\n\u6bcf\u7528\u6237\u5c42\u6570<\/td>\n<\/tr>\n
                      <\/p>\n

                      d<\/p>\n

                      d<\/p>\n

                      <\/span><\/span>d<\/span><\/span><\/span><\/span><\/span><\/td>\n

                      		2<\/td>\n\u6bcf\u5c42\u6d41\u6570<\/td>\n<\/tr>\n
                      <\/p>\n

                      N<\/p>\n

                      r<\/p>\n

                      N_r<\/p>\n

                      <\/span><\/span>N<\/span><\/span>r<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n

                      		2<\/td>\n\u6bcf\u7528\u6237\u63a5\u6536\u5929\u7ebf\u6570<\/td>\n<\/tr>\n
                      <\/p>\n

                      N<\/p>\n

                      t<\/p>\n

                      N_t<\/p>\n

                      <\/span><\/span>N<\/span><\/span>t<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n

                      		5~16<\/td>\n\u53d1\u5c04\u5929\u7ebf\u6570（\u626b\u63cf）<\/td>\n<\/tr>\n
                      <\/p>\n

                      \u03b1<\/p>\n

                      ADC<\/p>\n

                      ,<\/p>\n

                      \u03b1<\/p>\n

                      DAC<\/p>\n

                      \\\\alpha_{\\\\text{ADC}}, \\\\alpha_{\\\\text{DAC}}<\/p>\n

                      <\/span><\/span>\u03b1<\/span><\/span>ADC<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>\u03b1<\/span><\/span>DAC<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n

                      		0.8<\/td>\n\u91cf\u5316\u589e\u76ca<\/td>\n<\/tr>\n
                      <\/p>\n

                      \u03ba<\/p>\n

                      t<\/p>\n

                      x<\/p>\n

                      \\\\kappa_{tx}<\/p>\n

                      <\/span><\/span>\u03ba<\/span><\/span>t<\/span>x<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n

                      		0~1<\/td>\n\u6b8b\u4f59\u635f\u4f24\u56e0\u5b50（\u626b\u63cf）<\/td>\n<\/tr>\n
                      \u8499\u7279\u5361\u6d1b\u6b21\u6570<\/td>\n10,000<\/td>\n\u72ec\u7acb\u4fe1\u9053\u5b9e\u73b0<\/td>\n<\/tr>\n
                      \u6536\u655b\u9608\u503c <\/p>\n

                      \u03f5<\/p>\n

                      \\\\epsilon<\/p>\n

                      <\/span><\/span>\u03f5<\/span><\/span><\/span><\/span><\/span><\/td>\n

                      		<\/p>\n

                      10<\/p>\n

                      \u2212<\/p>\n

                      3<\/p>\n

                      10^{-3}<\/p>\n

                      <\/span><\/span>1<\/span>0<\/span><\/span>\u2212<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n

                      		\u7528\u4e8e\u5224\u65ad\u6570\u503c\u7a33\u5b9a\u6027<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

                      9.2 \u56db\u7ec4\u5173\u952e\u7ed3\u679c<\/h4>\n

                      \"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \u8bba\u6587\u901a\u8fc7\u56db\u7ec4\u4eff\u771f\u5168\u9762\u9a8c\u8bc1\u4e86\u878d\u5408\u9884\u7f16\u7801\u7684\u4f18\u52bf：<\/p>\n

                      \u56fe 2：CDF \u66f2\u7ebf（\u901f\u7387\u5206\u5e03）<\/p>\n

                      \u7d2f\u79ef\u5206\u5e03\u51fd\u6570（CDF）\u5c55\u793a\u4e86\u4e0d\u540c\u65b9\u6848\u4e0b\u901f\u7387\u7684\u7edf\u8ba1\u5206\u5e03\u3002\u878d\u5408\u65b9\u6848\u7684\u66f2\u7ebf\u6700\u9661\u5ced\u4e14\u96c6\u4e2d\u5728\u6700\u9ad8\u901f\u7387\u533a\u57df，\u8bf4\u660e\u5b83\u4e0d\u4ec5\u5e73\u5747\u6027\u80fd\u597d，\u800c\u4e14\u6027\u80fd\u6ce2\u52a8\u5c0f\u3001\u53ef\u9760\u6027\u9ad8\u3002\u76f8\u6bd4\u4e4b\u4e0b，\u5355\u4e00\u65b9\u6848\u7684\u66f2\u7ebf\u66f4\u5206\u6563，\u7b49\u6743\u91cd\u878d\u5408\u867d\u7136\u4f18\u4e8e\u90e8\u5206\u5355\u4e00\u65b9\u6848，\u4f46\u4ecd\u4e0d\u53ca\u4f18\u5316\u540e\u7684\u878d\u5408\u3002<\/p>\n

                      \u56fe 3：\u901f\u7387 vs. SNR（<\/p>\n

                      \u03ba<\/p>\n

                      t<\/p>\n

                      x<\/p>\n

                      =<\/p>\n

                      1<\/p>\n

                      \\\\kappa_{tx}=1<\/p>\n

                      <\/span><\/span>\u03ba<\/span><\/span>t<\/span>x<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>）<\/p>\n

                      \u5728\u4ece\u4f4e SNR \u5230\u9ad8 SNR \u7684\u6574\u4e2a\u8303\u56f4\u5185，\u878d\u5408\u65b9\u6848\u7684\u901f\u7387\u59cb\u7ec8\u9ad8\u4e8e\u6240\u6709\u5355\u4e00\u65b9\u6848\u548c\u7b49\u6743\u91cd\u878d\u5408\u3002\u8fd9\u8bf4\u660e\u878d\u5408\u4e0d\u662f\u53ea\u5728\u67d0\u4e2a\u7279\u5b9a SNR \u4e0b\u6709\u6548，\u800c\u662f\u5177\u6709\u5168\u573a\u666f\u7684\u666e\u9002\u6027\u3002<\/p>\n

                      \u56fe 4：\u901f\u7387 vs. \u53d1\u5c04\u5929\u7ebf\u6570（SNR=15dB）<\/p>\n

                      \u5f53\u53d1\u5c04\u5929\u7ebf\u6570 <\/p>\n

                      N<\/p>\n

                      t<\/p>\n

                      N_t<\/p>\n

                      <\/span><\/span>N<\/span><\/span>t<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u589e\u52a0\u65f6，\u6240\u6709\u65b9\u6848\u7684\u901f\u7387\u90fd\u4e0a\u5347\u3002\u4f46\u878d\u5408\u65b9\u6848\u7684\u589e\u76ca\u659c\u7387\u66f4\u5927\u2014\u2014\u5f53\u5929\u7ebf\u6570\u4e0d\u662f\u7cfb\u7edf\u74f6\u9888\u65f6（\u5373 <\/p>\n

                      N<\/p>\n

                      t<\/p>\n

                      N_t<\/p>\n

                      <\/span><\/span>N<\/span><\/span>t<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u8db3\u591f\u5927），\u878d\u5408\u7684\u4f18\u52bf\u66f4\u52a0\u660e\u663e\u3002\u8fd9\u9a8c\u8bc1\u4e86\u878d\u5408\u80fd\u591f\u66f4\u6709\u6548\u5730\u5229\u7528\u5929\u7ebf\u5197\u4f59\u5e26\u6765\u7684\u7a7a\u95f4\u81ea\u7531\u5ea6\u3002<\/p>\n

                      \u56fe 5：\u901f\u7387 vs. \u786c\u4ef6\u635f\u4f24\u5f3a\u5ea6（SNR=15dB, <\/p>\n

                      N<\/p>\n

                      t<\/p>\n

                      =<\/p>\n

                      8<\/p>\n

                      N_t=8<\/p>\n

                      <\/span><\/span>N<\/span><\/span>t<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>8<\/span><\/span><\/span><\/span><\/span>）<\/p>\n

                      \u8fd9\u662f\u6700\u5173\u952e\u7684\u4e00\u5f20\u56fe\u3002\u968f\u7740 <\/p>\n

                      \u03ba<\/p>\n

                      t<\/p>\n

                      x<\/p>\n

                      \\\\kappa_{tx}<\/p>\n

                      <\/span><\/span>\u03ba<\/span><\/span>t<\/span>x<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u589e\u5927（\u786c\u4ef6\u635f\u4f24\u52a0\u91cd），\u6240\u6709\u65b9\u6848\u7684\u6027\u80fd\u90fd\u4e0b\u964d\u3002\u4f46\u878d\u5408\u65b9\u6848\u7684\u4e0b\u964d\u66f2\u7ebf\u6700\u5e73\u7f13\u2014\u2014\u5f53 <\/p>\n

                      \u03ba<\/p>\n

                      t<\/p>\n

                      x<\/p>\n

                      ><\/p>\n

                      0.3<\/p>\n

                      \\\\kappa_{tx} > 0.3<\/p>\n

                      <\/span><\/span>\u03ba<\/span><\/span>t<\/span>x<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>><\/span><\/span><\/span><\/span>0.3<\/span><\/span><\/span><\/span><\/span> \u65f6，\u878d\u5408\u7684\u4f18\u52bf\u6108\u53d1\u660e\u663e\u3002<\/p>\n

                      \u8fd9\u8bf4\u660e：\u786c\u4ef6\u635f\u4f24\u8d8a\u4e25\u91cd，\u878d\u5408\u9884\u7f16\u7801\u7684\u76f8\u5bf9\u4f18\u52bf\u8d8a\u5927\u3002\u8fd9\u6b63\u662f\u8bba\u6587\u6807\u9898\u4e2d\u201cMitigating Hardware Impairments\u201d\u7684\u5e95\u6c14\u6240\u5728\u2014\u2014\u4e0d\u540c\u57fa\u9884\u7f16\u7801\u5668\u5728\u786c\u4ef6\u635f\u4f24\u4e0b\u7684\u5931\u771f\u6a21\u5f0f\u4e0d\u540c，\u52a0\u6743\u7ec4\u5408\u53ef\u4ee5\u90e8\u5206\u62b5\u6d88\u5404\u81ea\u7684\u504f\u5dee，\u4f7f\u878d\u5408\u540e\u7684\u7ed3\u679c\u66f4\u63a5\u8fd1\u7406\u60f3\u72b6\u6001\u3002<\/p>\n

                      9.3 \u515c\u5e95\u673a\u5236\u7684\u89e6\u53d1\u60c5\u51b5<\/h4>\n

                      \u8bba\u6587\u5728 10,000 \u6b21\u8499\u7279\u5361\u6d1b\u4eff\u771f\u4e2d，\u6ca1\u6709\u89c2\u5bdf\u5230\u515c\u5e95\u673a\u5236\u88ab\u89e6\u53d1\u2014\u2014\u5728\u6240\u6709\u4eff\u771f\u4e2d，\u7ebf\u6027\u7cfb\u7edf\u90fd\u6210\u529f\u6c42\u89e3，\u6ca1\u6709\u51fa\u73b0\u5947\u5f02\u6216\u6570\u503c\u4e0d\u7a33\u5b9a\u7684\u60c5\u51b5\u3002<\/p>\n

                      \u4f46\u8fd9\u5e76\u4e0d\u610f\u5473\u7740\u515c\u5e95\u673a\u5236\u662f\u591a\u4f59\u7684\u3002\u8bba\u6587\u6307\u51fa，\u5728\u4e0d\u540c\u7cfb\u7edf\u8bbe\u7f6e\u6216\u66f4\u6781\u7aef\u7684\u573a\u666f\u4e0b，\u515c\u5e95\u673a\u5236\u4ecd\u7136\u662f\u6709\u4ef7\u503c\u7684\u4fdd\u969c\u3002\u5176\u5b58\u5728\u610f\u4e49\u5728\u4e8e：\u4fdd\u8bc1\u7b97\u6cd5\u5728\u4efb\u4f55\u60c5\u51b5\u4e0b\u90fd\u80fd\u8f93\u51fa\u53ef\u884c\u89e3，\u800c\u975e\u4ec5\u4ec5\u5728\u201c\u6b63\u5e38\u201d\u60c5\u51b5\u4e0b\u5de5\u4f5c\u3002<\/p>\n

                      \u5341\u3001\u603b\u7ed3：\u878d\u5408\u9884\u7f16\u7801\u7684\u5b8c\u6574\u56fe\u666f<\/h3>\n

                      10.1 \u4ece\u201c\u5355\u9879\u51a0\u519b\u201d\u5230\u201c\u5168\u80fd\u6218\u961f\u201d<\/h4>\n

                      \u56de\u987e\u6574\u4e2a\u7cfb\u5217，\u6211\u4eec\u8d70\u8fc7\u4e86\u4e00\u6761\u4ece\u201c\u5355\u4e00\u7b97\u6cd5\u201d\u5230\u201c\u7cfb\u7edf\u878d\u5408\u201d\u7684\u5b8c\u6574\u8def\u5f84：<\/p>\n\n\u9636\u6bb5\u6838\u5fc3\u5185\u5bb9\u5bf9\u5e94\u7ae0\u8282<\/tr>\n\n\n\n\n\n
                      \u8ba4\u8bc6\u5de5\u5177<\/td>\nZF\u3001MRT\u3001RZF\u3001BD\u3001SLNR\u3001WMMSE<\/td>\n\u7b2c\u4e8c~\u516d\u8282<\/td>\n<\/tr>\n
                      \u7406\u89e3\u6311\u6218<\/td>\n\u786c\u4ef6\u635f\u4f24\u3001\u901f\u7387\u786c\u4e0a\u9650<\/td>\n\u7b2c\u4e03\u8282<\/td>\n<\/tr>\n
                      \u5efa\u7acb\u6a21\u578b<\/td>\n\u534f\u65b9\u5dee\u77e9\u9635\u3001\u901f\u7387\u4e0b\u754c<\/td>\n\u7b2c\u516b\u8282<\/td>\n<\/tr>\n
                      \u7cfb\u7edf\u878d\u5408<\/td>\n\u6743\u91cd\u4f18\u5316\u3001\u7ebf\u6027\u7cfb\u7edf\u6c42\u89e3<\/td>\n\u7b2c\u4e5d\u8282（\u672c\u6587）<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

                      \u52a0\u6743\u878d\u5408\u9884\u7f16\u7801\u7684\u5b8c\u6574\u4f18\u52bf\u53ef\u4ee5\u6982\u62ec\u4e3a：<\/p>\n\n\u4f18\u52bf\u7ef4\u5ea6\u6838\u5fc3\u5185\u6db5<\/tr>\n\n\n\n\n\n\n
                      \u6027\u80fd\u8d85\u8d8a<\/td>\n\u52a0\u6743\u878d\u5408 > \u6700\u4f18\u5355\u4e00\u9009\u62e9 > \u7b49\u6743\u91cd\u878d\u5408<\/td>\n<\/tr>\n
                      \u73af\u5883\u9c81\u68d2<\/td>\n\u901a\u8fc7\u6743\u91cd\u81ea\u9002\u5e94\u5e94\u5bf9 SNR\u3001\u5929\u7ebf\u6570\u3001\u786c\u4ef6\u635f\u4f24\u7684\u53d8\u5316<\/td>\n<\/tr>\n
                      \u8bef\u5dee\u6821\u6b63<\/td>\n\u591a\u9884\u7f16\u7801\u5668\u7684\u4e0d\u540c\u5931\u771f\u6a21\u5f0f\u76f8\u4e92\u62b5\u6d88<\/td>\n<\/tr>\n
                      \u6846\u67b6\u5f00\u653e<\/td>\n\u53ef\u6301\u7eed\u5438\u7eb3\u65b0\u7684\u5355\u4e00\u9884\u7f16\u7801\u65b9\u6848<\/td>\n<\/tr>\n
                      \u590d\u6742\u5ea6\u53ef\u63a7<\/td>\n\u4f4e\u7ef4\u6743\u91cd\u4f18\u5316，\u5355\u6b21\u6c42\u89e3，\u4e0e WMMSE \u540c\u9636<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

                      10.2 \u672a\u6765\u5c55\u671b<\/h4>\n

                      \u52a0\u6743\u878d\u5408\u9884\u7f16\u7801\u6846\u67b6\u7684\u5f00\u653e\u6027\u662f\u5176\u6700\u5b9d\u8d35\u7684\u5de5\u7a0b\u4ef7\u503c\u4e4b\u4e00：<\/p>\n

                    • \u5373\u63d2\u5373\u7528：\u672a\u6765\u4efb\u4f55\u65b0\u63d0\u51fa\u7684\u9884\u7f16\u7801\u7b97\u6cd5（\u5982\u57fa\u4e8e\u6df1\u5ea6\u5b66\u4e60\u7684\u65b9\u6848\u3001\u53ef\u91cd\u6784\u667a\u80fd\u8868\u9762\u8f85\u52a9\u65b9\u6848\u7b49），\u90fd\u53ef\u4ee5\u4f5c\u4e3a\u65b0\u7684\u57fa\u9884\u7f16\u7801\u5668\u76f4\u63a5\u52a0\u5165\u6846\u67b6\u3002<\/li>\n
                    • \u6301\u7eed\u8fdb\u5316：\u968f\u7740\u5b66\u672f\u754c\u4e0d\u65ad\u63a8\u51fa\u65b0\u65b9\u6848，\u878d\u5408\u6846\u67b6\u53ef\u4ee5\u6301\u7eed\u5438\u7eb3\u8fd9\u4e9b\u6210\u679c\u3002<\/li>\n
                    • \u964d\u4f4e\u98ce\u9669：\u7cfb\u7edf\u8bbe\u8ba1\u8005\u4e0d\u9700\u8981\u62bc\u6ce8\u67d0\u4e00\u79cd\u201c\u672a\u6765\u6700\u4f18\u201d\u7b97\u6cd5，\u800c\u662f\u901a\u8fc7\u878d\u5408\u591a\u79cd\u65b9\u6848\u6765\u5206\u6563\u98ce\u9669\u3002<\/li>\n

                      \u8fd9\u6b63\u662f\u878d\u5408\u9884\u7f16\u7801\u8d85\u8d8a\u4f20\u7edf\u201c\u9009\u6700\u4f18\u201d\u601d\u8def\u7684\u6839\u672c\u6240\u5728\u2014\u2014\u5b83\u4e0d\u662f\u5bfb\u627e\u4e00\u628a\u201c\u4e07\u80fd\u94a5\u5319\u201d，\u800c\u662f\u6784\u5efa\u4e86\u4e00\u4e2a\u80fd\u4e0d\u65ad\u5438\u7eb3\u65b0\u9501\u5320\u3001\u81ea\u6211\u8fdb\u5316\u7684\u201c\u5f00\u9501\u7cfb\u7edf\u201d\u3002<\/p>\n

                      \u5199\u5728\u6700\u540e<\/h3>\n

                      \u4e5d\u8282\u5185\u5bb9，\u4ece MIMO \u57fa\u7840\u5230\u878d\u5408\u9884\u7f16\u7801，\u6211\u4eec\u5b8c\u6574\u8d70\u4e86\u4e00\u904d\u8fd9\u7bc7\u8bba\u6587\u7684\u6280\u672f\u8def\u5f84\u3002<\/p>\n

                      \u5982\u679c\u4f60\u4e00\u8def\u8ddf\u5230\u4e86\u8fd9\u91cc，\u606d\u559c\u4f60\u2014\u2014\u4f60\u5df2\u7ecf\u638c\u63e1\u4e86\u5f53\u524d MIMO \u9884\u7f16\u7801\u9886\u57df\u4ece\u7ecf\u5178\u7b97\u6cd5\u5230\u524d\u6cbf\u878d\u5408\u65b9\u6848\u7684\u6838\u5fc3\u77e5\u8bc6\u4f53\u7cfb\u3002<\/p>\n

                      \u5e0c\u671b\u8fd9\u4e2a\u7cfb\u5217\u80fd\u6210\u4e3a\u4f60\u7406\u89e3 MIMO \u9884\u7f16\u7801\u7684\u201c\u5bfc\u822a\u5730\u56fe\u201d\u3002\u6280\u672f\u4e4b\u8def\u6ca1\u6709\u7ec8\u70b9，\u878d\u5408\u9884\u7f16\u7801\u7684\u6846\u67b6\u5f00\u653e\u6027\u4e5f\u610f\u5473\u7740\u2014\u2014\u672a\u6765\u8fd8\u4f1a\u6709\u66f4\u591a\u4f18\u79c0\u7684\u57fa\u9884\u7f16\u7801\u5668\u52a0\u5165\u8fd9\u4e2a\u201c\u6218\u961f\u201d\u3002<\/p>\n

                      \u671f\u5f85\u4f60\u5728\u81ea\u5df1\u7684\u7814\u7a76\u548c\u5de5\u7a0b\u4e2d，\u4e5f\u80fd\u627e\u5230\u5c5e\u4e8e\u81ea\u5df1\u7684\u201c\u878d\u5408\u4e4b\u9053\u201d\u3002<\/p>\n

                      \u7cfb\u5217\u5b8c\u7ed3，\u611f\u8c22\u966a\u4f34！🚀<\/p>\n

                      \u7cfb\u5217\u5bfc\u822a（\u5171\u4e5d\u8282 + \u4e24\u95f4\u7ae0）：<\/p>\n

                        \n
                      • \u7b2c\u4e00\u8282：\u91cd\u6e29 MIMO \u57fa\u7840 \u2014\u2014 \u4ece SISO \u5230 MU-MIMO \u2705<\/li>\n
                      • \u7b2c\u4e8c\u8282：\u9884\u7f16\u7801\u662f\u4ec0\u4e48？\u2014\u2014 \u4ece\u8feb\u96f6（ZF）\u5f00\u59cb \u2705<\/li>\n
                      • \u7b2c\u4e09\u8282：\u6700\u5927\u6bd4\u4f20\u8f93（MRT）\u4e0e\u5339\u914d\u6ee4\u6ce2（MF）\u2014\u2014 \u8ba9\u4fe1\u53f7\u201c\u6307\u54ea\u513f\u6253\u54ea\u513f\u201d \u2705<\/li>\n
                      • \u7b2c\u56db\u8282：\u6b63\u5219\u5316\u8feb\u96f6（RZF）\u4e0e MMSE \u9884\u7f16\u7801 \u2014\u2014 ZF \u4e0e MRT \u7684\u4f18\u96c5\u6298\u4e2d \u2705<\/li>\n
                      • \u7b2c\u4e94\u8282：\u5757\u5bf9\u89d2\u5316（BD）\u4e0e\u4fe1\u6f0f\u566a\u6bd4（SLNR）\u9884\u7f16\u7801 \u2014\u2014 \u591a\u5929\u7ebf\u591a\u6d41\u7528\u6237\u7684\u5e72\u6270\u7ba1\u7406 \u2705<\/li>\n
                      • \u7b2c\u516d\u8282：WMMSE \u4e0e RWMMSE \u2014\u2014 \u4ece MSE \u6700\u5c0f\u5316\u5230\u548c\u901f\u7387\u6700\u5927\u5316 \u2705<\/li>\n
                      • \u95f4\u7ae0\u4e00：\u9884\u7f16\u7801\u7b97\u6cd5\u7684\u4eff\u771f\u95ed\u73af \u2014\u2014 \u4ece\u7406\u8bba\u5230\u4ee3\u7801\u7684\u5b8c\u6574\u6620\u5c04 \u2705<\/li>\n
                      • \u95f4\u7ae0\u4e8c：\u52a0\u6743\u878d\u5408\u9884\u7f16\u7801 \u2014\u2014 \u4ece\u201c\u5355\u9879\u51a0\u519b\u201d\u5230\u201c\u5168\u80fd\u6218\u961f\u201d \u2705<\/li>\n
                      • \u7b2c\u4e03\u8282：\u786c\u4ef6\u635f\u4f24 \u2014\u2014 \u4ece\u7406\u60f3\u5230\u73b0\u5b9e\u7684\u201c\u964d\u7ef4\u6253\u51fb\u201d \u2705<\/li>\n
                      • \u7b2c\u516b\u8282：\u7cfb\u7edf\u5efa\u6a21 \u2014\u2014 \u628a\u635f\u4f24\u201c\u5199\u8fdb\u201d\u6570\u5b66\u516c\u5f0f \u2705<\/li>\n
                      • \u7b2c\u4e5d\u8282：\u878d\u5408\u9884\u7f16\u7801\u4e0e\u4f18\u5316\u7b97\u6cd5 \u2014\u2014 \u4ece\u201c\u9009\u6700\u4f18\u201d\u5230\u201c\u52a0\u6743\u7ec4\u5408\u201d\u53ca\u4eff\u771f\u9a8c\u8bc1 \u2705（\u672c\u6587）<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"

                        \u7b2c\u4e5d\u8282：\u878d\u5408\u9884\u7f16\u7801\u4e0e\u4f18\u5316\u7b97\u6cd5 \u2014\u2014 \u4ece\u201c\u9009\u6700\u4f18\u201d\u5230\u201c\u52a0\u6743\u7ec4\u5408\u201d\u53ca\u4eff\u771f\u9a8c\u8bc1 \u672c\u7cfb\u5217\u7b2c\u4e5d\u8282，\u4e5f\u662f\u6700\u540e\u4e00\u8282，\u6211\u4eec\u5c06\u6700\u7ec8\u8fdb\u5165\u8bba\u6587\u7684\u6838\u5fc3\u521b\u65b0\u2014\u2014\u52a0\u6743\u878d\u5408\u9884\u7f16\u7801\u7684\u4f18\u5316\u7b97\u6cd5\u3002\u4ece\u95ee\u9898\u8f6c\u5316\u5230\u6743\u91cd\u6c42\u89e3，\u4ece\u7406\u8bba\u63a8\u5bfc\u5230\u4eff\u771f\u9a8c\u8bc1，\u6211\u4eec\u5c06\u5b8c\u6574\u8d70\u4e00\u904d\u8fd9\u4e2a\u6846\u67b6\u7684\u201c\u7075\u9b42\u201d\u6240\u5728\u3002 \u5bf9\u5e94\u8bba\u6587：\u201cMitigating Hardware Impairments in Multi-User Multi-Layer MIMO System<\/p>\n","protected":false},"author":2,"featured_media":83471,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[9341,1284,427],"topic":[],"class_list":["post-83472","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-9341","tag-matlab","tag-427"],"yoast_head":"\n\u3010mimo-\u786c\u4ef6\u635f\u4f24-\u9884\u7f16\u7801\u3011\u878d\u5408\u9884\u7f16\u7801\u4e0e\u4f18\u5316\u7b97\u6cd5 \u2014\u2014 \u4ece\u201c\u9009\u6700\u4f18\u201d\u5230\u201c\u52a0\u6743\u7ec4\u5408\u201d\u53ca\u4eff\u771f\u9a8c\u8bc1 - 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