{"id":95977,"date":"2026-08-27T08:24:45","date_gmt":"2026-08-27T00:24:45","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/95977.html"},"modified":"2026-08-27T08:24:45","modified_gmt":"2026-08-27T00:24:45","slug":"%e3%80%90%e8%af%bb%e8%ae%ba%e6%96%87%e3%80%91%e5%9f%ba%e4%ba%8e%e6%95%b0%e5%ad%97%e6%9e%81%e5%a4%a7%e4%bc%bc%e7%84%b6%e4%bc%b0%e8%ae%a1%e8%bf%87%e7%a8%8b%e5%a2%9e%e5%bc%ba113%e5%85%ac%e9%87%8co-twtft","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/95977.html","title":{"rendered":"\u3010\u8bfb\u8bba\u6587\u3011\u57fa\u4e8e\u6570\u5b57\u6781\u5927\u4f3c\u7136\u4f30\u8ba1\u8fc7\u7a0b\u589e\u5f3a113\u516c\u91ccO-TWTFT\u94fe\u8def\u7684\u65f6\u95f4\u4f20\u9012"},"content":{"rendered":"

FANG Y C, GUAN J Y, SHEN Q, et al. Enhanced timing of a 113 km O-TWTFT link with digital maximum likelihood estimation process[J\/OL]. arXiv:2505.03131, 2025.<\/p>\n

\n

\u57fa\u4e8e\u6570\u5b57\u6781\u5927\u4f3c\u7136\u4f30\u8ba1\u8fc7\u7a0b\u589e\u5f3a113\u516c\u91ccO-TWTFT\u94fe\u8def\u7684\u65f6\u95f4\u4f20\u9012<\/h2>\n

\u65b9\u7389\u66681,2,3^{1,2,3}<\/span><\/span><\/span><\/span>1<\/span>,<\/span>2<\/span>,<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u5173\u5efa\u5b872,3^{2,3}<\/span><\/span><\/span><\/span>2<\/span>,<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u6c88\u59471,2,3^{1,2,3}<\/span><\/span><\/span><\/span>1<\/span>,<\/span>2<\/span>,<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u97e9\u91d1\u5efa1,2,3^{1,2,3}<\/span><\/span><\/span><\/span>1<\/span>,<\/span>2<\/span>,<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u4faf\u78ca2,3^{2,3}<\/span><\/span><\/span><\/span>2<\/span>,<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u7ec3\u5b5f\u54f21,2,3^{1,2,3}<\/span><\/span><\/span><\/span>1<\/span>,<\/span>2<\/span>,<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u738b\u52c74^{4}<\/span><\/span><\/span><\/span>4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u5218\u7ef4\u5cb32,3,5^{2,3,5}<\/span><\/span><\/span><\/span>2<\/span>,<\/span>3<\/span>,<\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u4efb\u7ee7\u521a1,2,3^{1,2,3}<\/span><\/span><\/span><\/span>1<\/span>,<\/span>2<\/span>,<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u5f6d\u627f\u5fd71,2,3^{1,2,3}<\/span><\/span><\/span><\/span>1<\/span>,<\/span>2<\/span>,<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u5f20\u5f3a1,2,3^{1,2,3}<\/span><\/span><\/span><\/span>1<\/span>,<\/span>2<\/span>,<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u59dc\u6d77\u5cf01,2,3^{1,2,3}<\/span><\/span><\/span><\/span>1<\/span>,<\/span>2<\/span>,<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u6f58\u5efa\u4f1f1,2,3^{1,2,3}<\/span><\/span><\/span><\/span>1<\/span>,<\/span>2<\/span>,<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

1^{1}<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e2d\u56fd\u79d1\u5b66\u6280\u672f\u5927\u5b66\u5fae\u5c3a\u5ea6\u7269\u8d28\u79d1\u5b66\u56fd\u5bb6\u7814\u7a76\u4e2d\u5fc3\u53ca\u7269\u7406\u5b66\u9662，\u4e2d\u56fd\u5408\u80a5<\/p>\n

2^{2}<\/span><\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e2d\u56fd\u79d1\u5b66\u6280\u672f\u5927\u5b66\u4e0a\u6d77\u91cf\u5b50\u79d1\u5b66\u7814\u7a76\u4e2d\u5fc3\u53ca\u4e2d\u56fd\u79d1\u5b66\u9662\u91cf\u5b50\u4fe1\u606f\u4e0e\u91cf\u5b50\u79d1\u6280\u521b\u65b0\u5353\u8d8a\u4e2d\u5fc3，\u4e2d\u56fd\u4e0a\u6d77<\/p>\n

3^{3}<\/span><\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e2d\u56fd\u79d1\u5b66\u6280\u672f\u5927\u5b66\u5408\u80a5\u56fd\u5bb6\u5b9e\u9a8c\u5ba4，\u4e2d\u56fd\u5408\u80a5<\/p>\n

4^{4}<\/span><\/span><\/span><\/span>4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e2d\u56fd\u79d1\u5b66\u9662\u65b0\u7586\u5929\u6587\u53f0，\u4e2d\u56fd\u4e4c\u9c81\u6728\u9f50 830011<\/p>\n

5^{5}<\/span><\/span><\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5b81\u6ce2\u5927\u5b66\u4fe1\u606f\u79d1\u5b66\u4e0e\u5de5\u7a0b\u5b66\u9662，\u4e2d\u56fd\u5b81\u6ce2 315211<\/p>\n

\u6458\u8981<\/p>\n

\u57fa\u4e8e\u5149\u5b66\u9891\u7387\u68b3\u5e76\u91c7\u7528**\u7ebf\u6027\u5149\u5b66\u91c7\u6837（LOS）**\u7684\u5149\u5b66\u53cc\u5411\u65f6\u95f4\u9891\u7387\u4f20\u9012（O-TWTFT）\u662f\u672a\u6765\u5927\u89c4\u6a21\u5149\u949f\u540c\u6b65\u7684\u4e00\u79cd\u6781\u5177\u524d\u666f\u7684\u65b9\u6cd5\u3002\u5b83\u517c\u5177\u9ad8\u65f6\u95f4\u5206\u8fa8\u7387\u548c\u5927\u65e0\u6a21\u7cca\u8303\u56f4\u7684\u53cc\u91cd\u4f18\u52bf\u3002\u5728\u5efa\u7acb\u957f\u8ddd\u79bb\u81ea\u7531\u7a7a\u95f4\u5149\u94fe\u8def\u4e2d\u7684\u4e00\u4e2a\u5173\u952e\u6311\u6218\u662f\u63d0\u9ad8\u63a2\u6d4b\u7075\u654f\u5ea6\u3002\u7279\u522b\u662f\u5728\u8d85\u4f4e\u63a5\u6536\u529f\u7387\u6c34\u5e73\u4e0b，\u7ebf\u6027\u5149\u5b66\u91c7\u6837\u7684\u65f6\u95f4\u63d0\u53d6\u7b97\u6cd5\u5f15\u8d77\u7684\u8bef\u5dee\u6210\u4e3a\u5236\u7ea6\u7cfb\u7edf\u7075\u654f\u5ea6\u7684\u663e\u8457\u969c\u788d，\u751a\u81f3\u8d85\u8fc7\u4e86\u91cf\u5b50\u6781\u9650\u6240\u65bd\u52a0\u7684\u9650\u5236\u3002\u5728\u8fd9\u9879\u5de5\u4f5c\u4e2d，\u6211\u4eec\u5f15\u5165\u4e86\u590d\u6700\u5c0f\u4e8c\u4e58（CLS）\u65b9\u6cd5\u6765\u540c\u65f6\u63d0\u9ad8\u65f6\u95f4\u63d0\u53d6\u7684\u7cbe\u5ea6\u548c\u7075\u654f\u5ea6\u3002\u4e0e\u4ee5\u5f80\u5927\u591a\u6570\u4ec5\u4f9d\u8d56\u76f8\u4f4d\u4fe1\u606f\u7684\u65b9\u6cd5\u4e0d\u540c，\u6211\u4eec\u7684\u65b9\u6848\u91c7\u7528\u4e86\u4e00\u79cd\u540c\u65f6\u7ed3\u5408\u5e45\u5ea6\u4e0e\u76f8\u4f4d\u6570\u636e\u7684\u6781\u5927\u4f3c\u7136\u4f30\u8ba1\u6280\u672f\u3002\u6211\u4eec\u5728\u5e73\u5747\u94fe\u8def\u635f\u8017\u9ad8\u8fbe100 dB\u7684113 km\u81ea\u7531\u7a7a\u95f4\u94fe\u8def\u4e0a\u8fdb\u884c\u7684\u5b9e\u9a8c，\u5b9e\u73b0\u4e860.1 nW\u7684\u521b\u7eaa\u5f55\u6700\u5c0f\u63a5\u6536\u529f\u7387，\u6bd4\u5148\u524d\u7684\u57fa\u51c6\u964d\u4f4e\u4e86\u5341\u500d\u4ee5\u4e0a\u3002\u5176\u7cbe\u5ea6\u4e5f\u63a5\u8fd1\u4e86\u91cf\u5b50\u6781\u9650\u3002<\/p>\n

\n

\u5f15\u8a00<\/h3>\n

\u5149\u949f\u7684\u53d1\u5c55\u63a8\u52a8\u4e86\u5728\u5168\u7403\u8303\u56f4\u5185\u5efa\u7acb\u9ad8\u7cbe\u5ea6\u65f6\u95f4\u4e0e\u9891\u7387\u4f20\u9012\u7cfb\u7edf\u7684\u9700\u6c42\u3002\u6700\u5148\u8fdb\u7684\u5149\u949f\u5df2\u7ecf\u5b9e\u73b0\u4e8610\u22121910^{-19}<\/span><\/span>1<\/span>0<\/span><\/span>\u2212<\/span>19<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u91cf\u7ea7\u7684\u5353\u8d8a\u4e0d\u7a33\u5b9a\u5ea6\u548c\u4e0d\u786e\u5b9a\u5ea6\u6c34\u5e73[1\u22125]^{[1-5]}<\/span><\/span><\/span><\/span>[<\/span>1<\/span>\u2212<\/span>5<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u6bd4\u6700\u597d\u7684\u57fa\u51c6\u9891\u7387\u6807\u51c6\u9ad8\u51fa\u4e86\u4e00\u4e2a\u6570\u91cf\u7ea7\u4ee5\u4e0a\u3002\u8fd9\u4e9b\u7cbe\u5ea6\u6c34\u5e73\u5bf9\u4e8e\u79d2\u7684\u91cd\u65b0\u5b9a\u4e49[6]^{[6]}<\/span><\/span><\/span><\/span>[<\/span>6<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u548c\u7cbe\u5bc6\u5927\u5730\u6d4b\u91cf\u5b66[7,8]^{[7,8]}<\/span><\/span><\/span><\/span>[<\/span>7<\/span>,<\/span>8<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7b49\u5e94\u7528\u81f3\u5173\u91cd\u8981\u3002\u867d\u7136\u57fa\u4e8e\u5149\u7ea4\u7684\u94fe\u8def\u53ef\u4ee5\u6ee1\u8db3\u8fd9\u4e9b\u9700\u6c42，\u4f46\u5176\u5728\u4e0d\u4e45\u7684\u5c06\u6765\u7684\u5168\u7403\u90e8\u7f72\u53d7\u5230\u6210\u672c\u548c\u590d\u6742\u6027\u7684\u963b\u788d\u3002<\/p>\n

\u5f53\u524d\u5168\u7403\u7684\u65f6\u95f4\u548c\u9891\u7387\u4f20\u9012\u4f9d\u8d56\u4e8e\u57fa\u4e8e\u536b\u661f\u7684\u4e2d\u7ee7\u3002\u4f46\u6ca1\u6709\u4e00\u79cd\u80fd\u591f\u6ee1\u8db3\u5149\u949f\u9891\u7387\u4f20\u9012\u7684\u8981\u6c42\u3002\u7531\u4e8e\u5608\u6742\u4e14\u4e0d\u7a33\u5b9a\u7684\u591a\u53d8\u5927\u6c14\u6761\u4ef6，\u661f\u5730\u94fe\u8def\u9700\u8981\u8f83\u5927\u7684\u65f6\u95f4\u65e0\u6a21\u7cca\u8303\u56f4\u4ee5\u5b9e\u73b0\u8fde\u7eed\u8fd0\u884c\u3002\u4f5c\u4e3a\u8f7d\u6ce2\u7684\u4f20\u7edf\u5fae\u6ce2\u4fe1\u53f7\u7531\u4e8e\u5176\u65f6\u95f4\u5206\u8fa8\u7387\u8f83\u4f4e，\u5c06\u957f\u671f\u4e0d\u7a33\u5b9a\u6027\u9650\u5236\u5728\u51e0\u76ae\u79d2\u3002\u4f7f\u7528\u8109\u51b2\u6fc0\u5149\u5668\u548c\u5149\u7535\u63a2\u6d4b\u5668\u7684\u6fc0\u5149\u94fe\u8def\u65f6\u95f4\u4f20\u9012（T2L2）\u4e5f\u9762\u4e34\u7c7b\u4f3c\u7684\u5c40\u9650\u6027[9,10]^{[9,10]}<\/span><\/span><\/span><\/span>[<\/span>9<\/span>,<\/span>10<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

\u6700\u53ef\u884c\u7684\u89e3\u51b3\u65b9\u6848\u662f\u5149\u5b66\u53cc\u5411\u65f6\u95f4\u9891\u7387\u4f20\u9012（O-TWTFT），\u5b83\u91c7\u7528\u76f8\u5e72\u8109\u51b2\u6fc0\u5149\u5217（\u5373\u5149\u5b66\u9891\u7387\u68b3，OFC）\u7684\u53cc\u5411\u4f20\u8f93\u5e76\u7ed3\u5408\u7ebf\u6027\u5149\u5b66\u91c7\u6837（LOS）[11]^{[11]}<\/span><\/span><\/span><\/span>[<\/span>11<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002LOS\u65b9\u6cd5\u6d89\u53ca\u5c06\u672c\u5730OFC\u4e0e\u5177\u6709\u5fae\u5c0f\u91cd\u590d\u9891\u7387\u5dee\u7684\u63a5\u6536OFC\u8fdb\u884c\u5e72\u6d89，\u4ece\u800c\u4f7f\u672c\u5730\u5149\u68b3\u7684\u8109\u51b2\u80fd\u591f\u8fde\u7eed\u904d\u5386\u4fe1\u53f7\u8109\u51b2\u3002OFC\u7684\u7eb3\u79d2\u7ea7\u8109\u51b2\u95f4\u9694\u63d0\u4f9b\u4e86\u8f83\u5927\u7684\u65f6\u95f4\u65e0\u6a21\u7cca\u8303\u56f4，\u6709\u5229\u4e8e\u94fe\u8def\u5728\u4e2d\u65ad\u540e\u91cd\u65b0\u8fde\u63a5\u3002<\/p>\n

\u5b9e\u73b0\u661f\u5730O-TWTFT\u94fe\u8def\u9700\u8981\u514b\u670d\u4ece\u6570\u5341\u5230\u4e00\u767e\u591adB\u7684\u4f20\u8f93\u635f\u8017，\u5177\u4f53\u53d6\u51b3\u4e8e\u8ddd\u79bb\u548c\u5149\u5b66\u6536\u53d1\u5668\u7684\u6709\u6548\u53e3\u5f84\u3002\u57282022\u5e74，\u6211\u4eec\u5c55\u793a\u4e86\u4e00\u676189 dB\u3001113 km\u7684O-TWTFT\u94fe\u8def，\u572810,000\u79d2\u65f6\u7684\u4e0d\u7a33\u5b9a\u6027\u8fbe\u523010\u22121910^{-19}<\/span><\/span>1<\/span>0<\/span><\/span>\u2212<\/span>19<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u4f7f\u7528\u7684OFC\u529f\u7387\u9ad8\u8fbe1 W，\u63a2\u6d4b\u7075\u654f\u5ea6\u5728\u7eb3\u74e6\u91cf\u7ea7[12]^{[12]}<\/span><\/span><\/span><\/span>[<\/span>12<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u8fd9\u79cd\u5bf9\u635f\u8017\u7684\u9ad8\u5bb9\u5fcd\u5ea6\u9002\u7528\u4e8eGEO\/IGSO\u661f\u5730\u94fe\u8def，\u4f46\u5bf9\u4e8e\u5730\u6708\u94fe\u8def\u7b49\u6df1\u7a7a\u5e94\u7528\u6765\u8bf4\u4ecd\u663e\u4e0d\u8db3\u3002<\/p>\n

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\n

\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

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\n

\u65f6\u95f4\u63d0\u53d6\u7b97\u6cd5<\/h3>\n

\u5149\u5b66\u53cc\u5411\u65f6\u95f4\u9891\u7387\u4f20\u9012（O-TWTFT）\u5229\u7528\u7ebf\u6027\u5149\u5b66\u91c7\u6837（LOS）\u901a\u8fc7\u8ba1\u7b97\u7cbe\u786e\u7684\u65f6\u95f4\u5dee\u6765\u5b9e\u73b0\u8fdc\u7a0b\u65f6\u949f\u7684\u98de\u79d2\u7ea7\u7cbe\u786e\u540c\u6b65\u3002\u5982\u56fe 1a \u6240\u793a，\u6211\u4eec\u91c7\u7528\u4e24\u4e2a\u5149\u5b66\u9891\u7387\u68b3\u2014\u2014\u4e00\u4e2a\u5de5\u4f5c\u5728\u91cd\u590d\u9891\u7387frf_{r}<\/span><\/span>f<\/span><\/span>r<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u672c\u5730\u5149\u68b3\u548c\u4e00\u4e2a\u5177\u6709\u504f\u5dee\u0394fr\\\\Delta f_{r}<\/span><\/span>\u0394<\/span>f<\/span><\/span>r<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u63a5\u6536\u5149\u68b3\u3002\u5916\u5dee\u63a2\u6d4b\u4ee5\u0394fr\\\\Delta f_{r}<\/span><\/span>\u0394<\/span>f<\/span><\/span>r<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u901f\u7387\u4ea7\u751f\u5e26\u6709\u65f6\u95f4\u6233\u7684\u5e72\u6d89\u56fe，\u6bcf\u4e2a\u5e72\u6d89\u56fe\u90fd\u7ecf\u8fc7\u5085\u91cc\u53f6\u53d8\u6362\u4ee5\u4ea7\u751f\u5176\u5149\u8c31\u76f8\u4f4d\u03b8(\u03bd,n)\\\\theta(\\\\nu,n)<\/span><\/span>\u03b8<\/span>(<\/span>\u03bd<\/span>,<\/span><\/span>n<\/span>)<\/span><\/span><\/span><\/span><\/span>\u3002\u5728\u6b64，\u03bd\\\\nu<\/span><\/span>\u03bd<\/span><\/span><\/span><\/span><\/span>\u8868\u793a\u5085\u91cc\u53f6\u9891\u7387，nn<\/span><\/span>n<\/span><\/span><\/span><\/span><\/span>\u8868\u793a\u7b2cnn<\/span><\/span>n<\/span><\/span><\/span><\/span><\/span>\u4e2a\u5e72\u6d89\u56fe\u3002\u521d\u59cb\u5e72\u6d89\u56fe\u03b8(\u03bd,0)\\\\theta(\\\\nu,0)<\/span><\/span>\u03b8<\/span>(<\/span>\u03bd<\/span>,<\/span><\/span>0<\/span>)<\/span><\/span><\/span><\/span><\/span>\u5145\u5f53\u53c2\u8003，\u76f8\u4f4d\u5dee\u03b8(\u03bd,n)\u2212\u03b8(\u03bd,0)\\\\theta(\\\\nu,n)-\\\\theta(\\\\nu,0)<\/span><\/span>\u03b8<\/span>(<\/span>\u03bd<\/span>,<\/span><\/span>n<\/span>)<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>\u03b8<\/span>(<\/span>\u03bd<\/span>,<\/span><\/span>0<\/span>)<\/span><\/span><\/span><\/span><\/span>\u4e0e\u5085\u91cc\u53f6\u9891\u7387\u03bd\\\\nu<\/span><\/span>\u03bd<\/span><\/span><\/span><\/span><\/span>\u5448\u7ebf\u6027\u5173\u7cfb，\u5176\u659c\u7387\u7f16\u7801\u4e86\u76ee\u6807\u65f6\u95f4\u5dee\u3002<\/p>\n

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\n

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1545 nm\u5904\u589e\u52a0\u7684\u94fe\u8def\u635f\u8017\u5bfc\u81f4\u4fe1\u566a\u6bd4\u964d\u4f4e，\u4f7f\u6709\u6548\u6570\u636e\u7684\u63d0\u53d6\u590d\u6742\u5316\u3002\u6709\u5173\u6570\u636e\u6ee4\u6ce2\u8fc7\u7a0b\u7684\u66f4\u591a\u7ec6\u8282\u5728\u8865\u5145\u6750\u6599\u4e2d\u63d0\u4f9b\u3002<\/p>\n

1563 nm\u94fe\u8def\u8868\u73b0\u51fa\u7ea675 dB\u7684\u5e73\u5747\u94fe\u8def\u635f\u8017\u3002\u5728\u6b64\u7c7b\u635f\u8017\u4e0b\u7684\u6027\u80fd\u5df2\u5728\u5148\u524d\u7684\u5b9e\u9a8c\u4e2d\u5f97\u5230\u9a8c\u8bc1[12]^{[12]}<\/span><\/span><\/span><\/span>[<\/span>12<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u76f8\u6bd4\u4e4b\u4e0b，1545 nm\u94fe\u8def\u7ecf\u5386\u4e86\u663e\u8457\u66f4\u9ad8\u7684\u5e73\u5747\u94fe\u8def\u635f\u8017，\u4f30\u8ba1\u4e3a90 dB\u3002\u94fe\u8def\u635f\u8017\u662f\u6839\u636e\u5e72\u6d89\u56fe\u7684\u63a5\u6536\u529f\u7387\u8ba1\u7b97\u7684，\u8be6\u89c1\u8865\u5145\u6750\u6599\u3002\u6211\u4eec\u5c06\u4e24\u79cd\u7b97\u6cd5\u5e94\u7528\u4e8e\u6765\u81ea\u9ad8\u635f\u80171545 nm\u94fe\u8def\u7684\u5e72\u6d89\u56fe\u6570\u636e\u96c6，\u800c\u7531\u4e8e\u5148\u524d\u7b97\u6cd5\u516c\u8ba4\u7684\u6709\u6548\u6027，\u5c06\u5176\u7528\u4e8e1563 nm\u94fe\u8def\u3002\u4e24\u6761\u94fe\u8def\u7ed3\u679c\u4e4b\u95f4\u7684\u5dee\u5f02\u7a81\u663e\u4e861545 nm\u94fe\u8def\u4e2d\u5b58\u5728\u7684\u56fa\u6709\u8bef\u5dee\u3002<\/p>\n

\n

\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

\u56fe 2：\u5b9e\u9a8c\u88c5\u7f6e：\u8be5\u793a\u610f\u56fe\u5c55\u793a\u4e86\u4e24\u6761\u81ea\u7531\u7a7a\u95f4\u94fe\u8def，\u5176\u4e2d\u9ec4\u8272\u4e3a1545 nm\u94fe\u8def，\u84dd\u8272\u4e3a1563 nm\u94fe\u8def\u3002\u4e0b\u90e8\u8be6\u7ec6\u8bf4\u660e\u4e86\u8ba1\u7b97\u6a21\u5757\u5185\u90e8\u7684\u8ba1\u7b97\u6b65\u9aa4，\u5305\u62ec\u4f7f\u7528CLS\u7b97\u6cd5\u548c\u5148\u524d\u7b97\u6cd5[21]^{[21]}<\/span><\/span><\/span><\/span>[<\/span>21<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u6267\u884c\u7684\u7528\u4e8e\u5bf9\u6bd4\u5206\u6790\u7684\u76f8\u4f4d\u89e3\u5305\u88f9\u8fc7\u7a0b\u3002<\/p>\n

\n

\u7ed3\u679c<\/h3>\n

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\u03c3t2\u2248\u03c4p2SNR\\\\sigma_{t}^{2}\\\\approx\\\\frac{\\\\tau_{p}^{2}}{SNR}<\/span><\/span>\u03c3<\/span><\/span>t<\/span><\/span><\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2248<\/span><\/span><\/span><\/span><\/span><\/span>S<\/span>N<\/span>R<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c4<\/span><\/span>p<\/span><\/span><\/span><\/span><\/span>2<\/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\u03c4p\\\\tau_{p}<\/span><\/span>\u03c4<\/span><\/span>p<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u8868\u793a\u65e0\u5541\u557e\u5149\u9891\u68b3\u8109\u51b2\u7684\u5f3a\u5ea6\u534a\u9ad8\u5168\u5bbd（FWHM），SNRSNR<\/span><\/span>S<\/span>N<\/span>R<\/span><\/span><\/span><\/span><\/span>\u662f\u63a5\u6536\u673a\u7684\u4fe1\u566a\u6bd4\u3002\u5728\u4f4e\u63a5\u6536\u529f\u7387\u6761\u4ef6\u4e0b，\u4e0d\u7a33\u5b9a\u6027\u63a5\u8fd1\u7531\u8be5\u516c\u5f0f\u5b9a\u4e49\u7684\u91cf\u5b50\u566a\u58f0\u6781\u9650\u3002<\/p>\n

\n

\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

\u56fe 3：(a) CLS\u7b97\u6cd5\u4e0e\u5148\u524d\u7b97\u6cd5\u7684\u65f6\u95f4\u504f\u5dee（TDEV）\u66f2\u7ebf\u3002CLS\u7b97\u6cd5\u7684\u6027\u80fd\u4f18\u4e8e\u5148\u524d\u7b97\u6cd5\u534a\u4e2a\u6570\u91cf\u7ea7\u3002\u5148\u524d\u7b97\u6cd5\u7684\u5e73\u5747\u63a5\u6536\u529f\u7387\u4e3a3.8 nW，\u800cCLS\u7b97\u6cd5\u4e3a2.2 nW，\u53cd\u6620\u4e86\u5b83\u4eec\u5404\u81ea\u7684\u6700\u5c0f\u63a5\u6536\u529f\u7387\u80fd\u529b\u3002CLS\u7b97\u6cd5\u57280.1 nW\u6ee4\u6ce2\u6570\u636e\u4e0b\u7684TDEV\u66f2\u7ebf\u5728\u957f\u79ef\u5206\u65f6\u95f4\u4e0b\u4e0e\u5176\u4ed6\u66f2\u7ebf\u5e73\u884c，\u8868\u660e\u5bf9\u957f\u671f\u7a33\u5b9a\u6027\u7684\u5f71\u54cd\u53ef\u5ffd\u7565\u4e0d\u8ba1\u3002\u4e3a\u4e86\u8fdb\u884c\u6bd4\u8f83，\u8fd8\u663e\u793a\u4e86\u9876\u7ea7\u5149\u949f\u7684\u6027\u80fd[24,25]^{[24,25]}<\/span><\/span><\/span><\/span>[<\/span>24<\/span>,<\/span>25<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002(b) \u63cf\u7ed8\u4e86\u6807\u51c6\u5dee\u4e0e\u63a5\u6536\u529f\u7387\u4e4b\u95f4\u7684\u5173\u7cfb，\u84dd\u7ebf\u4ee3\u8868CLS\u7b97\u6cd5，\u6a59\u7ebf\u4ee3\u8868\u5148\u524d\u7b97\u6cd5\u3002CLS\u7b97\u6cd5\u7684\u6027\u80fd\u63a5\u8fd1\u7531\u9ec4\u7ebf\u8868\u793a\u7684\u91cf\u5b50\u566a\u58f0\u6781\u9650\u3002<\/p>\n

\n

\u7ed3\u8bba<\/h3>\n

CLS\u6807\u5fd7\u7740\u76f8\u4f4d\u89e3\u5305\u88f9\u65b9\u6cd5\u7684\u91cd\u5927\u8fdb\u6b65，\u5c24\u5176\u5728\u4f4e\u63a5\u6536\u529f\u7387\u548c\u4f4e\u4fe1\u566a\u6bd4\u6761\u4ef6\u4e0b\u8868\u73b0\u4f18\u5f02\u3002\u8be5\u7b97\u6cd5\u4e0d\u4ec5\u51cf\u5c11\u4e86\u6ce2\u52a8，\u800c\u4e14\u63d0\u9ad8\u4e86\u7cbe\u5ea6，\u5927\u5e45\u6539\u5584\u4e86\u5149\u5b66\u53cc\u5411\u65f6\u95f4\u9891\u7387\u4f20\u9012（O-TWTFT）\u7cfb\u7edf\u4e2d\u65f6\u95f4\u9891\u7387\u4f20\u9012\u7684\u7a33\u5065\u6027\u548c\u51c6\u786e\u6027\u3002\u901a\u8fc7\u91c7\u7528CLS\u7b97\u6cd5，\u6570\u636e\u901f\u7387\u4ece\u6bcf\u79d2130\u4e2a\u6837\u672c\u63d0\u9ad8\u5230280\u4e2a\u6837\u672c，\u6807\u51c6\u5dee\u4ece80\u98de\u79d2\u964d\u4f4e\u523050\u98de\u79d2\u3002\u6700\u5c0f\u63a5\u6536\u529f\u7387\u8981\u6c42\u4e5f\u4ece1 nW\u5927\u5e45\u964d\u4f4e\u52300.1 nW\u3002\u8fd9\u79cd\u589e\u5f3a\u7684\u63a2\u6d4b\u7075\u654f\u5ea6\u5c06LOS\u7cfb\u7edf\u7684\u8fd0\u884c\u8ddd\u79bb\u6269\u5c55\u4e86\u4e09\u500d\u4ee5\u4e0a\u3002\u914d\u5408\u74e6\u7ea7OFC，\u6211\u4eec\u7684CLS\u7b97\u6cd5\u53ef\u4ee5\u627f\u53d7\u8d85\u8fc7100 dB\u7684\u635f\u8017，\u4f7f\u5176\u5728\u5730\u6708\u94fe\u8def\u5e94\u7528\u4e2d\u53d8\u5f97\u53ef\u884c\u3002\u5728\u5730\u8f68\u661f\u5730\u573a\u666f\u4e2d，\u8fd9\u610f\u5473\u7740\u53ef\u4ee5\u4f7f\u7528\u529f\u7387\u66f4\u4f4e\u7684OFC\u548c\u66f4\u5c0f\u7684\u671b\u8fdc\u955c，\u4ece\u800c\u4f18\u5316\u8d44\u6e90\u6548\u7387\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f，\u6211\u4eec\u7684\u65b9\u6cd5\u4e0d\u9700\u8981\u786c\u4ef6\u6539\u52a8，\u4ee3\u8868\u4e86\u661f\u5730\u65f6\u9891\u4f20\u9012\u9886\u57df\u5411\u524d\u8fc8\u51fa\u7684\u5173\u952e\u4e00\u6b65\u3002<\/p>\n

\u672c\u7814\u7a76\u5f97\u5230\u4e86\u4e2d\u56fd\u56fd\u5bb6\u91cd\u70b9\u7814\u53d1\u8ba1\u5212（\u9879\u76ee\u7f16\u53f7：2020YFC2200103，2020YFA0309800）；\u56fd\u5bb6\u81ea\u7136\u79d1\u5b66\u57fa\u91d1（\u9879\u76ee\u7f16\u53f7：T2125010）；\u4e2d\u56fd\u79d1\u5b66\u9662\u6218\u7565\u6027\u5148\u5bfc\u79d1\u6280\u4e13\u9879（\u9879\u76ee\u7f16\u53f7：XDB35030000）；\u5b89\u5fbd\u7701\u91cf\u5b50\u4fe1\u606f\u6280\u672f\u5148\u5bfc\u9879\u76ee（\u9879\u76ee\u7f16\u53f7：AHY010100）；\u5c71\u4e1c\u7701\u91cd\u70b9\u7814\u53d1\u8ba1\u5212（\u9879\u76ee\u7f16\u53f7：2021ZDPT01）；\u4e0a\u6d77\u5e02\u5e02\u7ea7\u79d1\u6280\u91cd\u5927\u4e13\u9879（\u9879\u76ee\u7f16\u53f7：2019SHZDZX01）；\u91cf\u5b50\u79d1\u6280\u521b\u65b0\u8ba1\u5212（\u9879\u76ee\u7f16\u53f7：2021ZD0300100，2021ZD0300300，2021ZD0300903）\u7684\u8d44\u52a9\u3002<\/p>\n

\u65b9\u7389\u6668\u4e0e\u5173\u5efa\u5b87\u5bf9\u8fd9\u9879\u5de5\u4f5c\u8d21\u732e\u76f8\u540c\u3002<\/p>\n

\n

\u8865\u5145\u6750\u6599<\/h2>\n

CLS \u7b97\u6cd5<\/h3>\n

CLS\u7b97\u6cd5\u7684\u8be6\u7ec6\u63cf\u8ff0<\/h4>\n

\u4e3a\u4e86\u8ba1\u7b97\u5f53\u524d\u5e72\u6d89\u56fe\u7684\u65f6\u5ef6，\u6211\u4eec\u7684\u65b9\u6cd5\u6d89\u53ca\u6784\u5efa\u4e00\u4e2a\u4ee5\u65f6\u5ef6\u4e3a\u53c2\u6570\u7684\u6a21\u578b，\u7136\u540e\u5728\u9891\u57df\u4e2d\u6700\u5c0f\u5316\u6a21\u578b\u9884\u6d4b\u503c\u4e0e\u91c7\u6837\u7684\u5e72\u6d89\u56fe\u4e4b\u95f4\u7684\u5dee\u5f02\u3002\u8be5\u65b9\u6cd5\u6709\u52a9\u4e8e\u5b9e\u73b0\u5bf9\u65f6\u5ef6\u7684\u7cbe\u786e\u4f30\u8ba1\u3002\u4e3a\u4e86\u6784\u5efa\u5e72\u6d89\u56fe\u7684\u9884\u6d4b\u6a21\u578b，\u6211\u4eec\u9700\u8981\u521d\u59cb\u5e72\u6d89\u56fe\u7684\u5e45\u5ea6\u548c\u76f8\u4f4d\u4fe1\u606f\u3002\u5982\u56fe 4 \u6240\u793a，\u521d\u59cb\u5e27\u5728\u5085\u91cc\u53f6\u53d8\u6362\u540e\u88ab\u6620\u5c04\u5230\u590d\u5e73\u9762\u4e0a\u3002\u8fd9\u4ea7\u751f\u4e86\u4e00\u7cfb\u5217\u8868\u793a\u4e3aA1,A2,A3,A4,A5,…A_{1},A_{2},A_{3},A_{4},A_{5},…<\/span><\/span>A<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>A<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>A<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>A<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>A<\/span><\/span>5<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>…<\/span><\/span><\/span><\/span><\/span>\u7684\u70b9，\u6bcf\u4e2a\u70b9\u7531\u5176\u5404\u81ea\u7684\u5e45\u5ea6r1,r2,r3,r4,r5,…r_{1},r_{2},r_{3},r_{4},r_{5},…<\/span><\/span>r<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>r<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>r<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>r<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>r<\/span><\/span>5<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>…<\/span><\/span><\/span><\/span><\/span>\u548c\u76f8\u4f4d\u89d2\u03b81,\u03b82,\u03b83,\u03b84,\u03b85,…\\\\theta_{1},\\\\theta_{2},\\\\theta_{3},\\\\theta_{4},\\\\theta_{5},…<\/span><\/span>\u03b8<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>\u03b8<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>\u03b8<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>\u03b8<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>\u03b8<\/span><\/span>5<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>…<\/span><\/span><\/span><\/span><\/span>\u8868\u5f81\u3002\u56fe 5 \u63cf\u8ff0\u4e86CLS\u7b97\u6cd5\u7684\u53c2\u6570\u548c\u62df\u5408\u8fc7\u7a0b\u3002\u6211\u4eec\u5c06\u79bb\u6563\u5085\u91cc\u53f6\u53d8\u6362\u540e\u83b7\u5f97\u7684\u6bcf\u4e2a\u70b9\u89c6\u4e3a\u4e00\u4e2a\u6837\u672c，\u70b9C1,C2,C3,C4,C5,…C_{1},C_{2},C_{3},C_{4},C_{5},…<\/span><\/span>C<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>C<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>C<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>C<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>C<\/span><\/span>5<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>…<\/span><\/span><\/span><\/span><\/span>\u4ee3\u8868\u6211\u4eec\u7684\u91c7\u6837\u7ed3\u679c\u3002\u6211\u4eec\u73b0\u5728\u7684\u76ee\u6807\u662f\u4ece\u8fd9\u4e9b\u91c7\u6837\u7ed3\u679c\u4e2d\u4f30\u8ba1\u6211\u4eec\u6a21\u578b\u7684\u53c2\u6570\u3002\u6211\u4eec\u7684\u6a21\u578b\u6709\u4e09\u4e2a\u53c2\u6570，\u5728\u7269\u7406\u4e0a\u8868\u793a\u5f53\u524d\u5e72\u6d89\u56fe\u76f8\u5bf9\u4e8e\u521d\u59cb\u5e72\u6d89\u56fe\u7684\u5e45\u5ea6\u548c\u76f8\u4f4d\u53d8\u5316\u3002\u5177\u4f53\u800c\u8a00，\u03b2\\\\beta<\/span><\/span>\u03b2<\/span><\/span><\/span><\/span><\/span>\u8868\u793a\u5e45\u5ea6\u8870\u51cf\u7cfb\u6570，\u800c\u03b1\\\\alpha<\/span><\/span>\u03b1<\/span><\/span><\/span><\/span><\/span>\u548c\u03b3\\\\gamma<\/span><\/span>\u03b3<\/span><\/span><\/span><\/span><\/span>\u8868\u5f81\u76f8\u4f4d\u53d8\u5316\u3002\u6839\u636e\u7ebf\u6027\u5149\u5b66\u91c7\u6837\u7406\u8bba[11]^{[11]}<\/span><\/span><\/span><\/span>[<\/span>11<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u5f53\u524d\u5e27\u4e0e\u521d\u59cb\u5e27\u4e4b\u95f4\u7684\u76f8\u4f4d\u5dee\u5bf9\u9891\u7387\u6784\u6210\u7b49\u5dee\u6570\u5217；\u56e0\u6b64\u53ea\u9700\u8981\u4e24\u4e2a\u53c2\u6570：\u03b1\\\\alpha<\/span><\/span>\u03b1<\/span><\/span><\/span><\/span><\/span>\u4ee3\u8868\u7b49\u5dee\u6570\u5217\u7684\u516c\u5dee，\u03b3\\\\gamma<\/span><\/span>\u03b3<\/span><\/span><\/span><\/span><\/span>\u4ee3\u8868\u521d\u59cb\u76f8\u4f4d，\u4ece\u800c\u5b8c\u6574\u8868\u5f81\u76f8\u4f4d\u53d8\u5316\u3002<\/p>\n

\u4e00\u65e6\u5efa\u7acb\u4e86\u6a21\u578b\u7684\u53c2\u6570，\u6211\u4eec\u5c31\u53ef\u4ee5\u7ee7\u7eed\u9884\u6d4b\u6bcf\u4e2a\u6837\u672c\u7684\u503c，\u8fd9\u4e9b\u503c\u7531\u70b9B1,B2,B3,B4,B5,…B_{1},B_{2},B_{3},B_{4},B_{5},…<\/span><\/span>B<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>B<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>B<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>B<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>B<\/span><\/span>5<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>…<\/span><\/span><\/span><\/span><\/span>\u8868\u793a\u3002\u4f8b\u5982，B3B_{3}<\/span><\/span>B<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u5e45\u5ea6\u7531\u03b2r3\\\\beta r_{3}<\/span><\/span>\u03b2<\/span>r<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7ed9\u51fa，\u5176\u76f8\u4f4d\u89d2\u7531\u03b3+2\u03b1+\u03b83\\\\gamma+2\\\\alpha+\\\\theta_{3}<\/span><\/span>\u03b3<\/span><\/span>+<\/span><\/span><\/span><\/span>2<\/span>\u03b1<\/span><\/span>+<\/span><\/span><\/span><\/span>\u03b8<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7ed9\u51fa\u3002\u9884\u6d4b\u503c\u4e0e\u91c7\u6837\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u8868\u793a\u4e3aeke_{k}<\/span><\/span>e<\/span><\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u6211\u4eec\u7684\u76ee\u6807\u662f\u786e\u4fdd\u9884\u6d4b\u70b9\u5c3d\u53ef\u80fd\u63a5\u8fd1\u91c7\u6837\u70b9\u3002\u4e3a\u4e86\u5b9e\u73b0\u8fd9\u4e00\u76ee\u6807，\u6211\u4eec\u5e94\u7528\u6700\u5c0f\u4e8c\u4e58\u6cd5，\u65e8\u5728\u6700\u5c0f\u5316\u6b8b\u5dee\u5e73\u65b9\u548c，\u7531\u4ee5\u4e0b\u516c\u5f0f\u8868\u793a：<\/p>\n

minimize\u03b1,\u03b2,\u03b3\u2211kek2\\\\underset{\\\\alpha,\\\\beta,\\\\gamma}{minimize}\\\\sum_{k}e_{k}^{2}<\/span><\/span><\/span>\u03b1<\/span>,<\/span>\u03b2<\/span>,<\/span>\u03b3<\/span><\/span><\/span><\/span><\/span>minimi<\/span>z<\/span>e<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>k<\/span><\/span><\/span><\/span><\/span>\u2211<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>e<\/span><\/span>k<\/span><\/span><\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

\u5728\u6b64，\u6211\u4eec\u63cf\u8ff0CLS\u7b97\u6cd5\u7684\u5177\u4f53\u6b65\u9aa4：<\/p>\n

  • \u6a21\u578b\u5efa\u7acb：
    \n\u5bf9\u521d\u59cb\u5e27\u548c\u5f53\u524d\u5e27\u90fd\u6267\u884c\u79bb\u6563\u5085\u91cc\u53f6\u53d8\u6362，\u5c06\u5e45\u5ea6\u548c\u76f8\u4f4d\u4fe1\u606f\u6620\u5c04\u5230\u590d\u5e73\u9762\u4e0a\u3002\u7136\u540e\u5efa\u7acb\u4e00\u4e2a\u6a21\u578b，\u4ee5\u5c01\u88c5\u5f53\u524d\u5e72\u6d89\u5e27\u76f8\u5bf9\u4e8e\u521d\u59cb\u5e27\u7684\u5e45\u5ea6\u548c\u76f8\u4f4d\u53d8\u5316，\u8be5\u6a21\u578b\u7531\u53c2\u6570\u03b1\\\\alpha<\/span><\/span>\u03b1<\/span><\/span><\/span><\/span><\/span>\u3001\u03b2\\\\beta<\/span><\/span>\u03b2<\/span><\/span><\/span><\/span><\/span>\u548c\u03b3\\\\gamma<\/span><\/span>\u03b3<\/span><\/span><\/span><\/span><\/span>\u53c2\u6570\u5316，\u5206\u522b\u8868\u793a\u76f8\u4f4d\u53d8\u5316\u7387\u3001\u5e45\u5ea6\u8870\u51cf\u7cfb\u6570\u548c\u521d\u59cb\u76f8\u4f4d\u504f\u79fb\u3002<\/li>\n
  • \u6784\u9020\u76ee\u6807\u51fd\u6570：
    \n\u5c06\u76ee\u6807\u51fd\u6570\u516c\u5f0f\u5316\u4e3a\u6a21\u578b\u9884\u6d4b\u503c\u4e0e\u89c2\u5bdf\u5230\u7684\u5f53\u524d\u5e27\u503c\u4e4b\u95f4\u6b8b\u5dee\u7684\u5e73\u65b9\u548c：
    \nL(\u03b1,\u03b2,\u03b3)=\u2211k\u2223Bk\u2212Ck\u22232L(\\\\alpha,\\\\beta,\\\\gamma)=\\\\sum_{k}\\\\vert{}B_{k}-C_{k}\\\\vert{}^{2}<\/span><\/span>L<\/span>(<\/span>\u03b1<\/span>,<\/span><\/span>\u03b2<\/span>,<\/span><\/span>\u03b3<\/span>)<\/span><\/span>=<\/span><\/span><\/span><\/span><\/span>k<\/span><\/span><\/span><\/span><\/span>\u2211<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2223<\/span><\/span>B<\/span><\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>C<\/span><\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2223<\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n

    \u5176\u4e2dBkB_{k}<\/span><\/span>B<\/span><\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u8868\u793a\u7b2ckk<\/span><\/span>k<\/span><\/span><\/span><\/span><\/span>\u4e2a\u70b9\u7684\u6a21\u578b\u9884\u6d4b\u590d\u6570\u503c，\u800cCkC_{k}<\/span><\/span>C<\/span><\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u8868\u793a\u5f53\u524d\u5e27\u79bb\u6563\u5085\u91cc\u53f6\u53d8\u6362\u7ed3\u679c\u7684\u7b2ckk<\/span><\/span>k<\/span><\/span><\/span><\/span><\/span>\u4e2a\u70b9\u3002
    \n3. \u6700\u5c0f\u5316\u76ee\u6807\u51fd\u6570：
    \n\u4f7f\u7528\u725b\u987f\u6cd5\u5b9e\u73b0\u76ee\u6807\u51fd\u6570\u7684\u8fed\u4ee3\u6700\u5c0f\u5316\u3002\u4e3a\u4e86\u964d\u4f4e\u6536\u655b\u5230\u5c40\u90e8\u6781\u5c0f\u503c\u7684\u98ce\u9669，\u5728\u8fed\u4ee3\u4e2d\u4f7f\u7528\u591a\u4e2a\u521d\u59cb\u8d77\u70b9\u3002
    \n4. \u7ed3\u679c\u8f93\u51fa：
    \n\u5728\u62df\u5408\u8fc7\u7a0b\u5b8c\u6210\u540e，\u4f7f\u7528\u786e\u5b9a\u7684\u53c2\u6570\u03b1\\\\alpha<\/span><\/span>\u03b1<\/span><\/span><\/span><\/span><\/span>\u8ba1\u7b97\u65f6\u95f4\u5ef6\u8fdf，\u5e76\u4f7f\u7528\u53c2\u6570\u03b2\\\\beta<\/span><\/span>\u03b2<\/span><\/span><\/span><\/span><\/span>\u8ba1\u7b97\u5e72\u6d89\u56fe\u7684\u5e45\u5ea6\u6216\u63a5\u6536\u529f\u7387\u3002\u521d\u59cb\u76f8\u4f4d\u4e5f\u88ab\u5bfc\u51fa，\u5b83\u5bf9\u5e94\u4e8e\u5f53\u524d\u5e27\u7684\u8f7d\u6ce2\u76f8\u4f4d\u3002<\/p>\n

    \n

    \"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

    \u56fe 4：\u5085\u91cc\u53f6\u53d8\u6362\u540e\u590d\u5e73\u9762\u4e0a\u521d\u59cb\u5e27\u6570\u636e\u70b9\u7684\u63cf\u7ed8\u3002\u7eff\u8272\u70b9A1,A2,A3,A4,A5,…A_{1},A_{2},A_{3},A_{4},A_{5},…<\/span><\/span>A<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>A<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>A<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>A<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>A<\/span><\/span>5<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>…<\/span><\/span><\/span><\/span><\/span>\u4ee5\u5176\u5404\u81ea\u7684\u5927\u5c0fr1,r2,r3,r4,r5,…r_{1},r_{2},r_{3},r_{4},r_{5},…<\/span><\/span>r<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>r<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>r<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>r<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>r<\/span><\/span>5<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>…<\/span><\/span><\/span><\/span><\/span>\u548c\u76f8\u4f4d\u89d2\u03b81,\u03b82,\u03b83,\u03b84,\u03b85,…\\\\theta_{1},\\\\theta_{2},\\\\theta_{3},\\\\theta_{4},\\\\theta_{5},…<\/span><\/span>\u03b8<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>\u03b8<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>\u03b8<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>\u03b8<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>\u03b8<\/span><\/span>5<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>…<\/span><\/span><\/span><\/span><\/span>\u5448\u73b0\u3002
    \n\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

    \u56fe 5：\u5e94\u7528\u4e8e\u79bb\u6563\u5085\u91cc\u53f6\u53d8\u6362\u6570\u636e\u7684CLS\u7b97\u6cd5\u8fd0\u884c\u793a\u610f\u56fe\u3002\u9884\u6d4b\u503c\u7531\u7ea2\u8272\u70b9BkB_{k}<\/span><\/span>B<\/span><\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u8868\u793a，\u5b9e\u9645\u6570\u636e\u70b9\u7531\u84dd\u8272CkC_{k}<\/span><\/span>C<\/span><\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u663e\u793a，\u6b8b\u5deeeke_{k}<\/span><\/span>e<\/span><\/span>k<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u6307\u793a\u5dee\u5f02\u3002\u8be5\u7b97\u6cd5\u7684\u76ee\u6807\u662f\u6700\u5c0f\u5316\u8fd9\u4e9b\u6b8b\u5dee\u7684\u5e73\u65b9\u548c（\u5728\u6b64\u5904\u590d\u5e73\u9762\u4e2d\u8868\u793a），\u4ee5\u6539\u8fdb\u4fe1\u53f7\u7684\u53c2\u6570\u4f30\u8ba1\u3002<\/p>\n

    \n

    CLS\u7b97\u6cd5\u7684\u7406\u8bba\u5206\u6790<\/h4>\n

    \u5728\u672c\u8282\u4e2d，\u6211\u4eec\u4ece\u7406\u8bba\u4e0a\u8ba8\u8bbaCLS\u7b97\u6cd5\u7684\u6027\u8d28，\u8bc1\u660e\u5b83\u5b9e\u9645\u4e0a\u662f\u53c2\u6570\u7684\u6781\u5927\u4f3c\u7136\u4f30\u8ba1（MLE）\u3002<\/p>\n

    \u6211\u4eec\u5728\u5206\u6790\u6a21\u578b\u65f6\u7684\u4e00\u4e2a\u57fa\u672c\u5047\u8bbe\u662f，\u6570\u636e\u4e2d\u5b58\u5728\u7684\u566a\u58f0\u53ef\u4ee5\u5efa\u6a21\u4e3a\u9ad8\u65af\u566a\u58f0\u3002<\/p>\n

    \u6839\u636e\u5173\u4e8e\u566a\u58f0\u79bb\u6563\u5085\u91cc\u53f6\u53d8\u6362\u7684\u6587\u732e，\u65f6\u57df\u767d\u566a\u58f0\u5728\u7ecf\u5386\u79bb\u6563\u5085\u91cc\u53f6\u53d8\u6362\u540e，\u5728\u590d\u5e73\u9762\u4e0a\u8f6c\u5316\u4e3a\u6cbf\u5b9e\u8f74\u548c\u865a\u8f74\u7684\u767d\u566a\u58f0\u3002\u56e0\u6b64，\u5728\u5904\u7406\u590d\u6570\u6570\u636e\u65f6，\u8981\u8003\u8651\u7684\u566a\u58f0\u4ecd\u7136\u662f\u9ad8\u65af\u767d\u566a\u58f0\u3002<\/p>\n

    \u6b64\u5916，\u6839\u636e\u5728\u72ec\u7acb\u5206\u5e03\u9ad8\u65af\u767d\u566a\u58f0\u524d\u63d0\u4e0b\u5c06\u6700\u5c0f\u4e8c\u4e58\u4f30\u8ba1\u7b49\u540c\u4e8eMLE\u7684\u6587\u732e[22]^{[22]}<\/span><\/span><\/span><\/span>[<\/span>22<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u8fd9\u4e24\u79cd\u4f30\u8ba1\u662f\u7b49\u4ef7\u7684\u3002<\/p>\n

    \u5728\u67d0\u4e9b\u6b63\u5219\u6027\u6761\u4ef6\u4e0b，\u7406\u8bba\u7edf\u8ba1\u63a8\u65ad\u5047\u5b9aMLE\u4ea7\u751f\u6e10\u8fd1\u6b63\u6001\u3001\u4e00\u81f4\u4e14\u6e10\u8fd1\u6709\u6548\u7684\u7ed3\u679c[23]^{[23]}<\/span><\/span><\/span><\/span>[<\/span>23<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

  • \u6e10\u8fd1\u6b63\u6001\u6027：\u8be5\u6982\u5ff5\u6307\u51fa，\u968f\u7740\u6837\u672c\u91cf\u7684\u589e\u52a0，MLE\u7684\u5206\u5e03\u5c06\u8fd1\u4f3c\u6b63\u6001\u5206\u5e03\u3002<\/li>\n
  • \u6e10\u8fd1\u4e00\u81f4\u6027：\u6e10\u8fd1\u4e00\u81f4\u6027\u610f\u5473\u7740\u968f\u7740\u6837\u672c\u91cf\u7684\u589e\u52a0，MLE\u7684\u671f\u671b\u503c\u6536\u655b\u5230\u771f\u5b9e\u53c2\u6570\u503c\u3002<\/li>\n
  • \u6e10\u8fd1\u6709\u6548\u6027：\u6e10\u8fd1\u6709\u6548\u6027\u8868\u793a，\u5728\u6240\u6709\u65e0\u504f\u4f30\u8ba1\u91cf\u4e2d，\u5f53\u6837\u672c\u91cf\u5f88\u5927\u65f6，MLE\u5c06\u5177\u6709\u5c3d\u53ef\u80fd\u6700\u5c0f\u7684\u65b9\u5dee\u3002<\/li>\n

    \u6211\u4eec\u5148\u524d\u5df2\u7ecf\u786e\u7acb\u4e86CLS\u65b9\u6cd5\u7b49\u4ef7\u4e8eMLE，\u5e76\u4e14\u53ef\u4ee5\u9a8c\u8bc1\u6211\u4eec\u5173\u4e8e\u65f6\u5ef6\u7684\u4f30\u8ba1\u7b26\u5408\u8fd9\u4e9b\u6b63\u5219\u6027\u6761\u4ef6\u3002\u53e6\u4e00\u65b9\u9762，\u6211\u4eec\u7684\u5b9e\u9a8c\u88c5\u7f6e\u80fd\u591f\u6bcf\u79d2\u751f\u6210\u6570\u767e\u751a\u81f3\u6570\u5343\u4e2a\u6837\u672c，\u8f7b\u677e\u6ee1\u8db3\u6e10\u8fd1\u6027\u8d28\u7684\u6837\u672c\u91cf\u8981\u6c42\u3002<\/p>\n

    \u603b\u4e4b，\u6240\u63d0\u51fa\u7684\u7528\u4e8e\u8ba1\u7b97\u65f6\u5ef6\u7684CLS\u7b97\u6cd5\u8868\u73b0\u51fa\u4ee5\u4e0b\u6709\u5229\u7684\u7edf\u8ba1\u7279\u5f81：<\/p>\n

  • \u7ed3\u679c\u5448\u73b0\u6b63\u6001\u5206\u5e03，\u8868\u660e\u5f02\u5e38\u503c\u6781\u5c11\u53d1\u751f\u3002<\/li>\n
  • \u5728\u65f6\u5ef6\u7684\u4f30\u8ba1\u4e2d\u4e0d\u5b58\u5728\u504f\u5dee，\u786e\u4fdd\u4e86\u4f30\u8ba1\u7684\u53ef\u9760\u6027\u3002<\/li>\n
  • \u5728\u6240\u6709\u53ef\u80fd\u7684\u65e0\u504f\u7b97\u6cd5\u4e2d，CLS\u5b9e\u73b0\u4e86\u6700\u4f4e\u7684\u8bef\u5dee\u65b9\u5dee，\u8868\u660e\u5176\u5177\u6709\u5353\u8d8a\u7684\u7cbe\u5ea6\u3002<\/li>\n
    \n

    \u6570\u636e\u6ee4\u6ce2<\/h3>\n

    \u5728\u6211\u4eec\u7684\u5b9e\u9a8c\u4e2d，\u7531\u4e8e\u5f15\u5165\u4e86\u8870\u51cf\u5668，1545 nm\u94fe\u8def\u7684\u94fe\u8def\u635f\u8017\u589e\u52a0，\u8fd9\u53ef\u80fd\u4f1a\u5c06\u5149\u68b3\u4ea7\u751f\u7684\u5e72\u6d89\u56fe\u6848\u63a9\u76d6\u5728\u73af\u5883\u566a\u58f0\u4e2d\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b，FPGA\u5f88\u96be\u8fa8\u522b\u63a5\u6536\u5230\u7684\u4fe1\u53f7\u662f\u7eaf\u566a\u58f0\u8fd8\u662f\u5305\u542b\u6709\u6548\u5e72\u6d89\u4fe1\u606f\u3002\u56e0\u6b64，\u5728\u6211\u4eec\u7684\u5b9e\u9a8c\u8bbe\u8ba1\u4e2d，\u6211\u4eec\u51b3\u5b9a\u4e0d\u4f9d\u8d56FPGA\u5bf9\u4fe1\u53f7\u6709\u6548\u6027\u505a\u51fa\u5224\u65ad，\u800c\u662f\u5b8c\u6574\u6536\u96c6FPGA\u63a5\u6536\u5230\u7684\u6240\u6709\u4fe1\u53f7\u3002\u7ed3\u679c，\u6211\u4eec\u6536\u96c6\u7684\u6570\u636e\u96c6\u5305\u542b\u4e86\u5927\u91cf\u7684\u566a\u58f0\u6210\u5206，\u9700\u8981\u5728\u968f\u540e\u7684\u6570\u636e\u5904\u7406\u6b65\u9aa4\u4e2d\u8fdb\u884c\u7ec6\u81f4\u7684\u6570\u636e\u6ee4\u6ce2\u548c\u5206\u6790\u3002<\/p>\n

    \u8fc7\u6ee4\u6709\u6548\u5e27\u7684\u6b65\u9aa4\u5206\u4e3a\u4e09\u4e2a\u9636\u6bb5，\u7a0d\u540e\u5c06\u5bf9\u5176\u8fdb\u884c\u8be6\u7ec6\u8ba8\u8bba，\u4ee5\u8bc1\u660e\u8fd9\u4e9b\u6b65\u9aa4\u548c\u65b9\u6cd5\u7684\u53ef\u884c\u6027\u548c\u6709\u6548\u6027\u3002<\/p>\n

  • \u9009\u62e9\u9ad8\u4fe1\u566a\u6bd4\u5e72\u6d89\u56fe（\u4fe1\u53f7\u529f\u7387\u9ad8\u4e8e5 nW）\u5e76\u8ba1\u7b97\u65f6\u5ef6\u3002<\/li>\n
  • \u901a\u8fc7\u5bf9\u9ad8\u4fe1\u566a\u6bd4\u65f6\u5ef6\u6570\u636e\u8fdb\u884c\u63d2\u503c，\u4f30\u8ba1\u6bcf\u4e2a\u91c7\u6837\u65f6\u95f4\u7684\u5355\u5411\u65f6\u5ef6\u3002<\/li>\n
  • \u8ba1\u7b97\u6bcf\u4e2a\u5e72\u6d89\u56fe\u7684\u5355\u5411\u65f6\u5ef6；\u5982\u679c\u5b83\u4e0e\u6839\u636e\u8be5\u5e72\u6d89\u56fe\u7684\u91c7\u6837\u65f6\u95f4\u6233\u4f30\u8ba1\u7684\u65f6\u5ef6\u504f\u5dee\u8d85\u8fc71000 fs，\u5219\u5c06\u5176\u89c6\u4e3a\u566a\u58f0\u5e27\u3002<\/li>\n

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    \u5728\u8ba1\u7b97\u51fa\u9ad8\u4fe1\u566a\u6bd4\u5e72\u6d89\u56fe\u7684\u5355\u5411\u65f6\u5ef6\u540e，\u6211\u4eec\u53ef\u4ee5\u4f30\u8ba1\u6bcf\u4e2a\u65f6\u95f4\u6233\u7684\u5355\u5411\u65f6\u5ef6\u7684\u8fd1\u4f3c\u503c\u3002\u8ba1\u7b97\u51fa\u7684\u65f6\u95f4\u70b9\u4e0e\u5355\u5411\u65f6\u5ef6\u4e4b\u95f4\u7684\u5173\u7cfb（\u5982\u56fe 6 \u6240\u793a\u7684\u63a8\u5bfc\u80cc\u666f）\u8868\u660e，\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u7ebf\u6027\u63d2\u503c\u6765\u4f30\u8ba1\u4e0e\u65f6\u95f4\u6233\u5bf9\u5e94\u7684\u65f6\u5ef6\u3002\u5355\u5411\u65f6\u5ef6\u7684\u7ebf\u6027\u5ea6\u662f\u7531\u4e8e\u6240\u4f7f\u7528\u7684\u8d85\u7a33\u6fc0\u5149\u5668\u9891\u7387\u4e0e\u771f\u5b9e\u9891\u7387\u4e4b\u95f4\u5b58\u5728\u56fa\u5b9a\u504f\u79fb；\u56fa\u5b9a\u9891\u7387\u504f\u79fb\u8868\u73b0\u4e3a\u65f6\u5ef6\u7684\u7ebf\u6027\u6f02\u79fb\u3002\u5728\u8ba1\u7b97\u65f6\u949f\u5dee\u65f6，\u4e24\u7aef\u7684\u504f\u5dee\u5c06\u88ab\u5b8c\u5168\u62b5\u6d88\u3002<\/p>\n

    \u5728\u4f30\u8ba1\u65f6\u5ef6\u4e4b\u540e，\u6211\u4eec\u5c06\u5b83\u4eec\u4e0e\u8ba1\u7b97\u51fa\u7684\u65f6\u5ef6\u8fdb\u4e00\u6b65\u8fdb\u884c\u6bd4\u8f83\u3002\u5982\u679c\u4e24\u8005\u4e4b\u5dee\u8d85\u8fc71000 fs，\u5219\u63a5\u6536\u5230\u7684\u6570\u636e\u5c06\u88ab\u89c6\u4e3a\u7531\u8bef\u89e6\u53d1\u5f15\u8d77\u7684\u566a\u58f0\u5e27，\u4e0d\u5305\u542b\u4efb\u4f55\u6709\u6548\u4fe1\u53f7\u6210\u5206\u3002\u6211\u4eec\u5728\u7406\u8bba\u5c42\u9762\u4e0a\u4e25\u683c\u8bc1\u660e\u4e86\u5728\u6211\u4eec\u7684\u5b9e\u9a8c\u6761\u4ef6\u4e0b，\u4f30\u8ba1\u65f6\u5ef6\u4e0e\u5b9e\u9645\u65f6\u5ef6\u4e4b\u95f4\u7684\u5dee\u5f02\u51e0\u4e4e\u80af\u5b9a\u4f1a\u5c0f\u4e8e1000 fs\u3002<\/p>\n

    \u5728\u6ca1\u6709\u52a0\u5165\u8870\u51cf\u5668\u7684\u60c5\u51b5\u4e0b\u6536\u96c6\u7684\u5b9e\u9a8c\u6570\u636e\u96c6\u4e2d，\u786e\u4fdd\u5373\u4f7f\u662f\u6700\u5f31\u4fe1\u53f7\u7684\u63a5\u6536\u5149\u5f3a\u4e5f\u8d85\u8fc75 nW，\u6211\u4eec\u5047\u5b9a\u65f6\u5ef6\u6570\u636e\u4ece\u6839\u672c\u4e0a\u662f\u51c6\u786e\u7684\u3002\u5229\u7528\u76f8\u540c\u7684\u65b9\u6cd5，\u6bcf\u79d2\u91c7\u96c6\u56db\u4e2a\u6570\u636e\u70b9，\u5e76\u901a\u8fc7\u7ebf\u6027\u63d2\u503c\u4f30\u8ba1\u6bcf\u4e2a\u65f6\u95f4\u6233\u7684\u65f6\u5ef6\u3002\u5982\u56fe 7 \u6240\u793a，\u901a\u8fc7\u4ece\u5b9e\u9645\u5e72\u6d89\u56fe\u65f6\u5ef6\u4e2d\u51cf\u53bb\u4f30\u8ba1\u65f6\u5ef6\u8ba1\u7b97\u51fa\u7684\u65f6\u95f4\u5dee\u8fd1\u4f3c\u670d\u4ece\u6807\u51c6\u5dee\u7ea6\u4e3a40 fs\u7684\u6b63\u6001\u5206\u5e03\u3002<\/p>\n

    \u8be5\u7ed3\u679c\u5f3a\u8c03\u4e86\u6211\u4eec\u4f7f\u7528\u9ad8\u5f3a\u5ea6\u6570\u636e\u4f30\u8ba1\u5355\u5411\u65f6\u5ef6\u7684\u504f\u5dee\u6807\u51c6\u5dee\u7ea6\u4e3a40 fs\u3002\u9274\u4e8e\u8be5\u6807\u51c6\u5dee，\u771f\u5b9e\u65f6\u5ef6\u504f\u79bb\u4f30\u8ba1\u65f6\u5ef6\u8d85\u8fc71000 fs\u7684\u6982\u7387\u6781\u4f4e\u3002<\/p>\n

    \n

    \"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

    \u56fe 6：\u63a5\u6536\u5149\u529f\u7387\u7684\u5206\u5e03\u3002<\/p>\n

    \n

    \u7406\u8bba\u5206\u6790\u8fd8\u7ec6\u81f4\u5ba1\u89c6\u4e86\u65f6\u5ef6\u7684\u6ce2\u52a8\u3002\u5b9e\u9645\u7684\u5355\u5411\u65f6\u5ef6\u4e3b\u8981\u53d7\u4e24\u4e2a\u56e0\u7d20\u5f71\u54cd：\u8d85\u7a33\u6fc0\u5149\u5668\u7684\u9891\u7387\u6f02\u79fb\u548c\u8109\u51b2\u7684\u98de\u884c\u65f6\u95f4\u3002\u5bf9\u4e8e\u672c\u7814\u7a76\u800c\u8a00，\u9ad8\u4fe1\u566a\u6bd4\u6570\u636e\u91c7\u96c6\u901f\u7387\u7ea6\u4e3a\u6bcf\u79d24\u4e2a\u6570\u636e\u70b9，\u8db3\u4ee5\u8bc1\u660e\u5728\u5982\u6b64\u77ed\u6682\u7684\u65f6\u95f4\u95f4\u9694\u5185，\u7531\u8fd9\u4e9b\u56e0\u7d20\u5f15\u8d77\u7684\u65f6\u5ef6\u53d8\u5316\u6781\u4e0d\u53ef\u80fd\u8d85\u8fc71000 fs\u3002<\/p>\n

    \u9996\u5148，\u6839\u636e\u5b9e\u9a8c\u6d4b\u91cf，\u8d85\u7a33\u6fc0\u5149\u5668\u9891\u7387\u7684\u6f02\u79fb\u7387\u5c0f\u4e8e\u6bcf\u79d21 Hz\u3002\u56e0\u6b64，\u57280.25\u79d2\u7684\u65f6\u95f4\u7a97\u53e3\u5185，\u8003\u8651\u5230\u8d85\u7a33\u6fc0\u5149\u5668\u7684\u5de5\u4f5c\u9891\u7387\u7ea6\u4e3a200 THz，\u6fc0\u5149\u5668\u9891\u7387\u6f02\u79fb\u5f15\u8d77\u7684\u65f6\u5ef6\u5f71\u54cd\u5c06\u5c0f\u4e8e5 fs\u3002<\/p>\n

    \u5176\u6b21，\u8109\u51b2\u98de\u884c\u65f6\u95f4\u7684\u6ce2\u52a8\u53ef\u4ee5\u4f7f\u7528\u5927\u6c14\u6a21\u578b\u8fdb\u884c\u8ba1\u7b97\u3002\u57fa\u4e8e\u6211\u4eec\u767e\u516c\u91cc\u5b9e\u9a8c[12]^{[12]}<\/span><\/span><\/span><\/span>[<\/span>12<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u83b7\u5f97\u7684\u5927\u6c14\u6a21\u578b，\u5728\u5927\u8303\u56f4\u5185\u5927\u6c14\u7684\u529f\u7387\u5bc6\u5ea6\u8fd1\u4f3c\u4e3a486.4f\u221283486.4f^{-\\\\frac{8}{3}}<\/span><\/span>486.4<\/span>f<\/span><\/span>\u2212<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>8<\/span><\/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><\/span>\u3002<\/p>\n

    \u4ece\u603b\u6570\u636e\u4e2d\u5df2\u77e5\u9ad8\u4fe1\u566a\u6bd4\u6570\u636e\u91cf\u7ea6\u4e3a\u6bcf\u79d24\u4e2a，\u5728\u6b64\u6211\u4eec\u4fdd\u5b88\u5730\u8ba1\u7b973 Hz\u4ee5\u4e0a\u7684\u5927\u6c14\u6ce2\u52a8\u3002\u6839\u636e\u529f\u7387\u8c31\u5bc6\u5ea6\u7684\u6027\u8d28，\u6211\u4eec\u77e5\u9053\u7531\u5927\u4e8e3 Hz\u7684\u5927\u6c14\u5f15\u8d77\u7684\u65f6\u5ef6\u6ce2\u52a8\u53ef\u4ee5\u63cf\u8ff0\u5982\u4e0b：<\/p>\n

    RMS=\u222b3\u221e486.4f\u221283dfRMS=\\\\sqrt{\\\\int_{3}^{\\\\infty}486.4f^{-\\\\frac{8}{3}}df}<\/span><\/span>R<\/span>M<\/span>S<\/span><\/span>=<\/span><\/span><\/span><\/span><\/span>\u222b<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span>\u221e<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>486.4<\/span>f<\/span><\/span>\u2212<\/span><\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>8<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>df<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u8ba1\u7b97\u5f97\u51fa\u8be5\u9891\u7387\u8303\u56f4\u5185\u5927\u6c14\u6ce2\u52a8\u7684\u5747\u65b9\u6839\u503c（RMS）\u4e3a46 fs\u3002<\/p>\n

    \u524d\u9762\u6211\u4eec\u63d0\u5230\u65f6\u95f4\u5dee\u603b\u4f53\u5448\u73b0\u6b63\u6001\u5206\u5e03\u3002\u9274\u4e8e\u5728\u77ed\u65f6\u95f4\u5185\u53ef\u4ee5\u5ffd\u7565\u9891\u7387\u6f02\u79fb\u7684\u5f71\u54cd，\u8fd9\u8868\u660e\u7531\u4e8e\u5927\u6c14\u6e4d\u6d41\u5f15\u8d77\u7684\u5269\u4f59\u6ce2\u52a8\u670d\u4ece\u6b63\u6001\u5206\u5e03\u3002\u65f6\u5ef6\u8bef\u5dee\u8d85\u8fc7155 fs\u7684\u6982\u7387\u4e3a1\/10001\/1000<\/span><\/span>1\/1000<\/span><\/span><\/span><\/span><\/span>\u30021000 fs\u7684\u65f6\u5ef6\u6ce2\u52a8\u5927\u7ea6\u662f21\u4e2a\u6807\u51c6\u5dee，\u5bf9\u4e8e\u5408\u7406\u7684\u7ed3\u679c\u800c\u8a00\u8fd9\u51e0\u4e4e\u662f\u4e0d\u53ef\u80fd\u53d1\u751f\u7684\u4e8b\u4ef6\u3002<\/p>\n

    \u7efc\u5408\u8003\u8651\u8fd9\u4e24\u4e2a\u56e0\u7d20，\u663e\u800c\u6613\u89c1\u7684\u662f，\u57280.25\u79d2\u7684\u65f6\u95f4\u95f4\u9694\u5185，\u7531\u6fc0\u5149\u9891\u7387\u6f02\u79fb\u548c\u5927\u6c14\u6e4d\u6d41\u5f15\u8d77\u7684\u65f6\u5ef6\u53d8\u5316\u5747\u663e\u8457\u4f4e\u4e8e1000 fs\u3002\u56e0\u6b64，\u6211\u4eec\u786e\u4fe1\u53ef\u4ee5\u4f7f\u75281000 fs\u7684\u9608\u503c\u6ee4\u9664\u566a\u58f0\u5e27，\u4e3a\u968f\u540e\u8ba1\u7b97\u4e24\u5730\u4e4b\u95f4\u7684\u65f6\u95f4\u5dee\u63d0\u4f9b\u7a33\u5065\u7684\u6570\u636e\u3002<\/p>\n

    \u6211\u4eec\u7684\u6ee4\u6ce2\u8fc7\u7a0b\u5df2\u88ab\u8bc1\u660e\u5728\u9ad8\u566a\u58f0\u548c\u9ad8\u635f\u8017\u6761\u4ef6\u4e0b\u662f\u6709\u6548\u7684，\u786e\u4fdd\u4e86\u8de8\u5149\u5b66\u94fe\u8def\u65f6\u95f4\u540c\u6b65\u7684\u53ef\u9760\u6027\u3002\u8fd9\u91cc\u5f00\u53d1\u7684\u65b9\u6cd5\u6709\u671b\u7528\u4e8e\u7c7b\u4f3c\u5177\u6709\u6311\u6218\u6027\u73af\u5883\u4e2d\u7684\u5149\u901a\u4fe1\u6280\u672f\u3002<\/p>\n

    \n

    \"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

    \u56fe 7：\u7531\u5e72\u6d89\u56fe\u8ba1\u7b97\u51fa\u7684\u5b9e\u9645\u5355\u5411\u65f6\u5ef6\u4e0e\u4f7f\u7528\u65f6\u95f4\u6233\u7ebf\u6027\u63d2\u503c\u83b7\u5f97\u7684\u4f30\u8ba1\u5355\u5411\u65f6\u5ef6\u4e4b\u95f4\u7684\u65f6\u95f4\u5dee\u5206\u5e03，\u8be5\u5206\u5e03\u670d\u4ece\u6b63\u6001\u5206\u5e03\u3002
    \n\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

    \u56fe 8：\u5e72\u6d89\u56fe\u80fd\u91cf\u4e0e\u63a5\u6536\u5149\u529f\u7387\u4e4b\u95f4\u7684\u5173\u7cfb，\u7531\u4e8e\u9ad8\u65af\u566a\u58f0\u7684\u6052\u5b9a\u529f\u7387，\u663e\u793a\u51fa\u5177\u6709\u975e\u96f6\u622a\u8ddd\u7684\u7ebf\u6027\u5173\u7cfb\u3002<\/p>\n

    \n

    \u63a5\u6536\u529f\u7387\u8ba1\u7b97<\/h3>\n

    \u5728\u672c\u5b9e\u9a8c\u4e2d，\u53d1\u5c04\u4e0e\u63a5\u6536OFC\u529f\u7387\u4e4b\u6bd4\u9ad8\u8fbe\u6570\u4e2a10910^{9}<\/span><\/span>1<\/span>0<\/span><\/span>9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u6bd4\u53d1\u5c04\u548c\u63a5\u6536\u5149\u8def\u4e4b\u95f4\u7684\u9694\u79bb\u5ea6（\u7ea660 dB）\u9ad8\u51fa\u4e09\u4e2a\u6570\u91cf\u7ea7\u3002\u56e0\u6b64，\u5728\u94fe\u8def\u8fd0\u884c\u671f\u95f4\u65e0\u6cd5\u540c\u65f6\u6d4b\u91cf\u63a5\u6536\u529f\u7387\u3002\u6240\u4ee5，\u6211\u4eec\u4f7f\u7528\u6765\u81eaCLS\u7b97\u6cd5\u7684\u5e45\u5ea6\u7cfb\u6570\u03b2\\\\beta<\/span><\/span>\u03b2<\/span><\/span><\/span><\/span><\/span>\u6765\u8ba1\u7b97\u63a5\u6536\u5149\u529f\u7387\u3002\u5728\u63a5\u4e0b\u6765\u7684\u90e8\u5206\u4e2d，\u6211\u4eec\u5c06\u4ecb\u7ecd\u8be5\u65b9\u6cd5\u5e76\u8bc1\u660e\u5176\u6709\u6548\u6027\u3002<\/p>\n

    \u5728\u5b9e\u9a8c\u5ba4\u4e2d，\u6211\u4eec\u4f7f\u7528\u4e86\u4e0e\u4e4c\u9c81\u6728\u9f50\u5b9e\u9a8c\u4e2d\u76f8\u540c\u7684\u88c5\u7f6e\u6765\u83b7\u5f97\u4e00\u7ec4\u5e72\u6d89\u56fe，\u5e76\u4f7f\u7528\u5546\u7528\u529f\u7387\u8ba1\u6d4b\u91cf\u4e86\u76f8\u5e94\u7684\u63a5\u6536\u5149\u529f\u7387\u3002<\/p>\n

    \u6211\u4eec\u9996\u5148\u5efa\u7acb\u4e86\u5e72\u6d89\u56fe\u80fd\u91cf\u4e0e\u63a5\u6536\u5149\u529f\u7387\u4e4b\u95f4\u7684\u6b63\u6bd4\u5173\u7cfb\u3002\u56fe 8 \u8bf4\u660e\u4e86\u901a\u8fc7\u8ba1\u7b97\u4fe1\u53f7\u6837\u672c\u5e73\u65b9\u548c\u83b7\u5f97\u7684\u80fd\u91cf\u4e0e\u63a5\u6536\u5149\u529f\u7387\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u8be5\u56fe\u663e\u793a\u4e86\u5177\u6709\u975e\u96f6\u622a\u8ddd\u7684\u7ebf\u6027\u5173\u7cfb\u3002<\/p>\n

    \u6ce8\u610f\u5230\u5e72\u6d89\u56fe\u4e2d\u7684\u566a\u58f0\u662f\u5177\u6709\u6052\u5b9a\u6807\u51c6\u5dee\u7684\u9ad8\u65af\u566a\u58f0，\u4e0e\u63a5\u6536\u5149\u529f\u7387\u65e0\u5173，\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u63a8\u5bfc\u51fa\u622a\u8ddd\u90e8\u5206\u662f\u566a\u58f0\u7684\u5e73\u65b9\u548c\u3002\u6b64\u5916，\u4e0e\u5149\u529f\u7387\u6210\u6b63\u6bd4\u7684\u90e8\u5206\u662f\u65e0\u566a\u58f0\u4fe1\u53f7\u7684\u80fd\u91cf\u3002<\/p>\n

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    \u4e3a\u4e86\u9a8c\u8bc1\u4f7f\u7528\u5e45\u5ea6\u7cfb\u6570\u8ba1\u7b97\u63a5\u6536\u5149\u529f\u7387\u7684\u6709\u6548\u6027，\u6211\u4eec\u5c06\u8be5\u65b9\u6cd5\u5e94\u7528\u4e8e\u5305\u542b\u63a5\u6536\u5149\u529f\u7387\u7684\u5b9e\u9a8c\u5ba4\u6570\u636e\u3002\u7ed3\u679c\u5982\u56fe 9 \u6240\u793a，\u8868\u660e\u8ba1\u7b97\u51fa\u7684\u5149\u529f\u7387\u4e0e\u5b9e\u9a8c\u6d4b\u91cf\u529f\u7387\u975e\u5e38\u543b\u5408\u3002<\/p>\n

    \n

    \"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\"<\/p>\n

    \u56fe 9：\u63a5\u6536\u5149\u529f\u7387\u4e0e\u5e45\u5ea6\u7cfb\u6570\u5e73\u65b9\u4e4b\u95f4\u5173\u7cfb\u7684\u63cf\u7ed8，\u8bf4\u660e\u5e72\u6d89\u56fe\u7684\u63a5\u6536\u5149\u529f\u7387\u4e0e\u5e45\u5ea6\u7cfb\u6570\u7684\u5e73\u65b9\u6210\u6b63\u6bd4\u3002<\/p>\n

    \n

    \u53c2\u8003\u6587\u732e<\/h3>\n

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