{"id":111177,"date":"2026-09-30T12:19:43","date_gmt":"2026-09-30T04:19:43","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/111177.html"},"modified":"2026-09-30T12:19:43","modified_gmt":"2026-09-30T04:19:43","slug":"%e8%a2%ab%e9%80%89%e5%ae%9a%e7%9a%84%e9%a2%91%e7%8e%87%ef%bc%9a%e5%a6%82%e4%bd%95%e9%80%9a%e8%bf%87%e6%8c%87%e5%ae%9a%e5%9b%be%e5%83%8f%e9%a2%91%e7%8e%87%e7%89%b9%e6%80%a7%e8%ae%be%e8%ae%a1%e5%9b%be","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/111177.html","title":{"rendered":"\u88ab\u9009\u5b9a\u7684\u9891\u7387\uff1a\u5982\u4f55\u901a\u8fc7\u6307\u5b9a\u56fe\u50cf\u9891\u7387\u7279\u6027\u8bbe\u8ba1\u56fe\u50cf\u6ee4\u6ce2\u5668"},"content":{"rendered":"<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u5de5\u4f5c\u4ee5\u6765\u57fa\u672c\u6ca1\u6709\u4f7f\u7528\u76f8\u5173\u6570\u5b57\u4fe1\u53f7\u5904\u7406\u7684\u77e5\u8bc6&#xff0c;\u56e0\u6b64\u4ee5\u4e0b\u65e8\u5728\u6253\u901a\u56fe\u50cf\u5904\u7406\u4e2d\u56fe\u50cf\u9891\u7387\u548c\u6ee4\u6570\u5b57\u6ce2\u5668\u8bbe\u8ba1\u4e4b\u95f4\u7684\u901a\u8def\u3002\u81f3\u4e8e\u6570\u5b66\u63a8\u5bfc\u65b9\u9762\u4e0d\u4e00\u5b9a\u6b63\u786e&#xff0c;\u4ec5\u4ec5\u662f\u7406\u987a\u6574\u4e2a\u901a\u8def\u800c\u5df2&#xff0c;\u4ec5\u4f5c\u53c2\u8003\u3002\u8be6\u7ec6\u7684\u6ee4\u6ce2\u5668\u8bbe\u8ba1\u7ec6\u8282\u8fd8\u9700\u8981\u5b66\u4e60\u4f7f\u7528\u76f8\u5173\u7684\u6570\u5b57\u4fe1\u53f7\u5904\u7406\u65b9\u9762\u7684\u77e5\u8bc6\u3002<\/p>\n<p 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\u5728\u56fe\u50cf\u91cc&#xff0c;\u6211\u4eec\u4e0d\u7528\u65f6\u95f4&#xff0c;\u7528\u50cf\u7d20\u3002 \u4e00\u4e2a\u4eae\u6697\u5faa\u73af&#xff0c;\u5360\u591a\u5c11\u50cf\u7d20&#xff0c;\u5c31\u53eb\u7a7a\u95f4\u5468\u671f Tp\u3002<\/p>\n<p>\u5c0f\u660e&#xff1a;\u5468\u671f&#xff1f;\u6bd4\u5982 3 \u4e2a\u50cf\u7d20\u4eae\u6697\u4e00\u8f6e&#xff0c;\u5c31\u662f Tp&#061;3&#xff1f;<\/p>\n<p>\u8001\u674e&#xff1a;\u5b8c\u5168\u6b63\u786e\u3002 \u53cd\u8fc7\u6765&#xff0c;\u7a7a\u95f4\u9891\u7387 fsp &#061; 1 \/ Tp\u3002 \u5468\u671f\u8d8a\u5927&#xff0c;\u9891\u7387\u8d8a\u4f4e&#xff1b;\u5468\u671f\u8d8a\u5c0f&#xff0c;\u9891\u7387\u8d8a\u9ad8\u3002<\/p>\n<hr \/>\n<p>\u8001\u674e&#xff1a;\u90a3\u6211\u95ee\u4f60&#xff1a; Tp&#061;8px\u3001Tp&#061;5px\u3001Tp&#061;3px&#xff0c;\u54ea\u4e2a\u4f4e\u9891&#xff0c;\u54ea\u4e2a\u9ad8\u9891&#xff1f;<\/p>\n<p>\u5c0f\u660e&#xff1a;8 \u6700\u5927&#xff0c;\u6700\u6162&#xff0c;\u662f\u4f4e\u9891&#xff1b;3 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\u4f60\u5148\u60f3&#xff1a;\u5e26\u901a\u8981\u505a\u54ea\u4e24\u4ef6\u4e8b&#xff1f;<\/p>\n<p>\u5c0f\u660e&#xff1a;\u8ba9\u60f3\u8981\u7684\u8fdb\u6765&#xff0c;\u4e0d\u60f3\u8981\u7684\u6321\u4f4f\u3002<\/p>\n<p>\u8001\u674e&#xff1a;\u592a\u5bf9\u4e86\u3002<\/p>\n<ul>\n<li>\u60f3\u901a\u8fc7&#xff1a;\u4e2d\u9891&#xff08;4~8px&#xff09;<\/li>\n<li>\u60f3\u6321\u4f4f&#xff1a;\u4f4e\u9891\u5927\u5757\u4eae\u5ea6\u3001\u9ad8\u9891\u566a\u58f0<\/li>\n<\/ul>\n<hr \/>\n<p>\u8001\u674e&#xff1a;\u6211\u4eec\u5148\u505a\u6700\u7b80\u5355\u3001\u6700\u7a33\u3001\u6700\u9002\u5408\u56fe\u50cf\u7684&#xff1a;5 \u62bd\u5934 FIR \u5e26\u901a\u3002 FIR \u662f\u4ec0\u4e48\u610f\u601d&#xff0c;\u4f60\u4e0d\u7528\u5148\u80cc\u5b9a\u4e49&#xff0c;\u8bb0\u4f4f\u4e00\u53e5\u8bdd&#xff1a;<\/p>\n<p>FIR &#061; \u6ed1\u52a8\u7a97\u53e3\u52a0\u6743\u5e73\u5747&#xff0c;\u6ca1\u6709\u9012\u5f52&#xff0c;\u6c38\u8fdc\u7a33\u5b9a\u3002<\/p>\n<p>\u5c0f\u660e&#xff1a;5 \u62bd\u5934&#xff0c;\u5c31\u662f\u4e00\u6b21\u770b 5 \u4e2a\u50cf\u7d20&#xff1f;<\/p>\n<p>\u8001\u674e&#xff1a;\u662f\u3002 x [n-4], x [n-3], x [n-2], x [n-1], x [n] \u8fde\u7eed 5 \u4e2a\u50cf\u7d20&#xff0c;\u4e58 5 \u4e2a\u7cfb\u6570&#xff0c;\u52a0\u8d77\u6765&#xff0c;\u5c31\u662f\u8f93\u51fa\u3002<\/p>\n<p>\u5c0f\u660e&#xff1a;\u8001\u5e08&#xff0c;\u6211\u77e5\u9053\u5e26\u901a\u5c31\u662f\u653e\u884c\u4e2d\u9891&#xff0c;\u538b\u5236\u4f4e\u9891\u5927\u5757\u660e\u6697\u4e0e\u9ad8\u9891\u566a\u58f0\u3002\u524d\u9762\u6211\u4eec\u63d0\u5230 5 \u62bd\u5934 FIR&#xff1a;\u6ed1\u52a8\u7a97\u53e3\u52a0\u6743\u3001\u6ca1\u6709\u9012\u5f52\u3001\u6c38\u8fdc\u7a33\u5b9a\u3002\u4f46\u6211\u8fd8\u662f\u597d\u5947&#xff1a;\u7ed9\u5b9a\u6307\u5b9a\u4e2d\u9891\u533a\u95f4&#xff0c;\u8fd9 5 \u4e2a\u7cfb\u6570<img decoding=\"async\" alt=\"(h[0],h[1],h[2],h[3],h[4])\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041940-6abc8ddc9f8c5.png\" \/>\u5230\u5e95\u600e\u4e48\u6570\u5b66\u7b97\u51fa\u6765&#xff0c;\u800c\u4e0d\u662f\u76f4\u63a5\u62ff\u6765\u73b0\u6210\u4e00\u7ec4&#xff1f;\u4e0d\u8fc7\u5728\u5f80\u4e0b\u63a8\u5bfc\u4e4b\u524d&#xff0c;\u6211\u6709\u4e2a\u6982\u5ff5\u603b\u5bb9\u6613\u6df7\u6dc6&#xff1a;\u4ec0\u4e48\u662f\u50cf\u7d20\u5468\u671f\u3001\u4ec0\u4e48\u662f\u7a7a\u95f4\u9891\u7387&#xff1f;\u56fe\u50cf\u91cc\u7684\u91c7\u6837\u9650\u5236\u662f\u4ec0\u4e48&#xff1f;<\/p>\n<p>\u8001\u674e&#xff1a;\u95ee\u5f97\u975e\u5e38\u597d&#xff0c;\u6240\u6709\u56fe\u50cf\u6ee4\u6ce2\u5668\u8bbe\u8ba1&#xff0c;\u6839\u57fa\u5c31\u5728\u8fd9\u91cc&#xff0c;\u6211\u4eec\u5148\u628a\u5730\u57fa\u6253\u7262\u3002 \u5728\u56fe\u50cf\u4e00\u7ef4\u7a7a\u57df\u4e0a&#xff1a;<\/p>\n<p>\u50cf\u7d20\u5468\u671f<img decoding=\"async\" alt=\"(T_p)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041940-6abc8ddcb7027.png\" \/>&#xff1a;\u4e00\u4e2a\u5b8c\u6574\u660e\u6697\u6761\u7eb9\u5468\u671f\u6240\u5360\u7684\u50cf\u7d20\u6570\u91cf&#xff0c;\u5355\u4f4d px\u3002<\/p>\n<p>\u7a7a\u95f4\u9891\u7387<img decoding=\"async\" alt=\"(f_{sp})\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041940-6abc8ddccbcb2.png\" \/>&#xff1a;\u6bcf\u4e00\u4e2a\u50cf\u7d20\u5185\u5305\u542b\u591a\u5c11\u4e2a\u5b8c\u6574\u660e\u6697\u5468\u671f&#xff0c;\u5355\u4f4d cycle\/px\u3002<\/p>\n<p>\u4e8c\u8005\u662f\u5012\u6570\u5173\u7cfb&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(\\\\boldsymbol{f_{sp}=\\\\frac{1}{T_p}})\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041940-6abc8ddce0aca.png\" \/><\/p>\n<p>\u8001\u674e&#xff1a;\u6211\u4eec\u628a\u56fe\u50cf\u7a7a\u57df\u7eb9\u7406&#xff1a;\u4f4e\u9891\u3001\u4e2d\u9891\u3001\u9ad8\u9891\u7ed9\u8bb2\u6e05\u695a\u3002 \u5bf9\u4e8e\u666e\u901a\u6570\u5b57\u56fe\u50cf&#xff0c;\u4ee5\u50cf\u7d20\u4e3a\u91c7\u6837\u5355\u5143&#xff0c;\u884c\u4e1a\u5de5\u7a0b\u4e0a\u4e00\u822c\u8fd9\u6837\u5212\u5206&#xff1a;<\/p>\n<table>\n<tr>\u7eb9\u7406\u7c7b\u578b\u50cf\u7d20\u5468\u671f <img decoding=\"async\" alt=\"(T_p)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041940-6abc8ddcb7027.png\" \/>\u7a7a\u95f4\u9891\u7387 <img decoding=\"async\" alt=\"(f_{sp}=1\/T_p)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041941-6abc8ddd00f15.png\" \/>\u56fe\u50cf\u76f4\u89c2\u542b\u4e49<\/tr>\n<tbody>\n<tr>\n<td>\u4f4e\u9891\u7eb9\u7406<\/td>\n<td><img decoding=\"async\" alt=\"(T_p&gt;8\\\\ \\\\mathrm{px})\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041941-6abc8ddd151d2.png\" \/><\/td>\n<td><img decoding=\"async\" alt=\"(0&lt; f_{sp} &lt; 0.125\\\\ \\\\mathrm{cycle\/px})\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041941-6abc8ddd28e98.png\" \/><\/td>\n<td>\u5927\u5757\u660e\u6697\u3001\u5927\u9762\u79ef\u6e10\u53d8\u3001\u753b\u9762\u5149\u7167\u6f02\u79fb\u3001\u5927\u7269\u4f53\u8f6e\u5ed3&#xff1b;\u53d8\u5316\u5f88\u5e73\u7f13&#xff0c;\u50cf\u7d20\u4e4b\u95f4\u5dee\u5f02\u5f88\u5c0f\u3002\u76f4\u6d41\u5206\u91cf\u5c5e\u4e8e\u6781\u7aef\u4f4e\u9891&#xff0c;<img decoding=\"async\" alt=\"(T_p\\\\rightarrow \\\\infty ,f_{sp}=0)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041941-6abc8ddd3ed78.png\" \/>\u3002<\/td>\n<\/tr>\n<tr>\n<td>\u4e2d\u9891\u7eb9\u7406<\/td>\n<td><img decoding=\"async\" alt=\"(4\\\\ \\\\mathrm{px}\\\\le T_p \\\\le8\\\\ \\\\mathrm{px})\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041941-6abc8ddd54838.png\" \/><\/td>\n<td><img decoding=\"async\" alt=\"(0.125 \\\\le f_{sp}\\\\le0.25\\\\ \\\\mathrm{cycle\/px})\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041941-6abc8ddd6b4c8.png\" \/><\/td>\n<td>\u7269\u4f53\u8fb9\u7f18\u3001\u4e2d\u7b49\u7c97\u7ec6\u7684\u7eb9\u7406\u3001\u5bf9\u7126\u8bc4\u4ef7\u6700\u5173\u5fc3\u7684\u7ec6\u8282&#xff1b;AF \u5bf9\u7126\u4e3b\u8981\u4f9d\u9760\u8fd9\u4e00\u90e8\u5206\u4fe1\u606f\u3002\u8fd9\u6b63\u662f\u6211\u4eec\u672c\u6b21\u5e26\u901a\u6ee4\u6ce2\u5668\u8981\u4fdd\u7559\u7684\u4fe1\u53f7\u3002<\/td>\n<\/tr>\n<tr>\n<td>\u9ad8\u9891\u7eb9\u7406<\/td>\n<td><img decoding=\"async\" alt=\"(2\\\\ \\\\mathrm{px}\\\\le T_p&lt;4\\\\ \\\\mathrm{px})\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041941-6abc8ddd81e02.png\" \/><\/td>\n<td><img decoding=\"async\" alt=\"(0.25 &lt; f_{sp}\\\\le0.5\\\\ \\\\mathrm{cycle\/px})\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041941-6abc8ddd96fa9.png\" \/><\/td>\n<td>\u7ec6\u5bc6\u9897\u7c92\u3001\u4f20\u611f\u5668\u566a\u58f0\u3001\u6469\u5c14\u7eb9\u3001\u6781\u7ec6\u6bdb\u523a&#xff1b;\u5f88\u591a\u662f\u566a\u58f0&#xff0c;\u6211\u4eec\u5e26\u901a\u6ee4\u6ce2\u5668\u9700\u8981\u628a\u8fd9\u4e00\u90e8\u5206\u6291\u5236\u6389\u3002\u6781\u9650\u9ad8\u9891\u5c31\u662f\u5948\u594e\u65af\u7279\u6781\u9650 <img decoding=\"async\" alt=\"(T_p=2\\\\mathrm{px},\\\\ f_{sp}=0.5\\\\ \\\\mathrm{cycle\/px})\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041941-6abc8dddad512.png\" \/>\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u8001\u674e&#xff1a;\u8bb0\u4f4f\u8fd9\u4e2a\u89c4\u5f8b&#xff1a;<\/p>\n<ul>\n<li>\u5468\u671f<img decoding=\"async\" alt=\"(T_p)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041940-6abc8ddcb7027.png\" \/>\u8d8a\u5927 \u2192 \u7eb9\u7406\u8d8a\u7c97 \u2192 \u7a7a\u95f4\u9891\u7387\u8d8a\u4f4e&#xff1b;<\/li>\n<li>\u5468\u671f<img decoding=\"async\" alt=\"(T_p)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041940-6abc8ddcb7027.png\" \/>\u8d8a\u5c0f \u2192 \u7eb9\u7406\u8d8a\u7ec6\u5bc6 \u2192 \u7a7a\u95f4\u9891\u7387\u8d8a\u9ad8\u3002<\/li>\n<\/ul>\n<p>\u5c0f\u660e&#xff1a;\u90a3\u5948\u594e\u65af\u7279\u91c7\u6837\u5b9a\u7406\u653e\u5230\u56fe\u50cf\u50cf\u7d20\u4e0a\u8be5\u600e\u4e48\u7406\u89e3&#xff1f;<\/p>\n<p>\u8001\u674e&#xff1a;\u8bb0\u4f4f\u4e00\u53e5\u5927\u767d\u8bdd&#xff1a;\u8981\u60f3\u5b8c\u6574\u91c7\u96c6\u4e00\u4e2a\u5468\u671f\u6027\u6761\u7eb9&#xff0c;\u4e00\u4e2a\u5b8c\u6574\u5468\u671f\u5185\u81f3\u5c11\u8981\u6709 2 \u4e2a\u91c7\u6837\u70b9&#xff08;\u50cf\u7d20&#xff09;\u3002 \u5982\u679c\u4e00\u4e2a\u660e\u6697\u5468\u671f\u521a\u597d\u53ea\u5360 2 \u4e2a\u50cf\u7d20&#xff1a;\u4eae\u50cf\u7d20\u3001\u6697\u50cf\u7d20&#xff0c;\u5b8c\u6210\u4e00\u6b21\u5b8c\u6574\u660e\u6697\u632f\u8361\u3002<\/p>\n<p><img decoding=\"async\" alt=\"(T_p=2\\\\ \\\\mathrm{px})\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041941-6abc8dddc5ce7.png\" \/><\/p>\n<p>\u5bf9\u5e94\u7684\u7a7a\u95f4\u9891\u7387&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(f_{sp}=\\\\frac{1}{T_p}=0.5\\\\ \\\\mathrm{cycle\/px})\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041941-6abc8dddde56b.png\" \/><\/p>\n<p>\u8fd9\u5c31\u662f\u8fd9\u5957\u91c7\u6837&#xff08;\u6bcf\u4e2a\u50cf\u7d20 1 \u4e2a\u91c7\u6837\u70b9&#xff09;\u80fd\u591f\u5206\u8fa8\u7684\u6700\u9ad8\u7a7a\u95f4\u9891\u7387&#xff0c;\u4e5f\u5c31\u662f\u5948\u594e\u65af\u7279\u6781\u9650\u3002<\/p>\n<ul>\n<li><img decoding=\"async\" alt=\"(T_p=2\\\\ \\\\mathrm{px}\\\\implies f_{sp}=0.5\\\\ \\\\mathrm{cycle\/px})\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041942-6abc8dde0a518.png\" \/>&#xff0c;\u56fe\u50cf\u80fd\u8868\u793a\u7684\u6781\u9650\u9ad8\u9891&#xff1b;\u5c0f\u4e8e 2 \u50cf\u7d20\u5468\u671f\u7684\u6761\u7eb9&#xff0c;\u56fe\u50cf\u91c7\u6837\u65e0\u6cd5\u6b63\u786e\u8868\u8fbe&#xff0c;\u76f4\u63a5\u53d1\u751f\u6df7\u53e0&#xff1b;<\/li>\n<li><img decoding=\"async\" alt=\"(T_p\\\\to\\\\infty)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041942-6abc8dde2dcd0.png\" \/>&#xff0c;\u6574\u5f20\u753b\u9762\u4eae\u5ea6\u4e0d\u53d8&#xff0c;<img decoding=\"async\" alt=\"(f_{sp}=0)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041942-6abc8dde4c58f.png\" \/>&#xff0c;\u5c31\u662f\u76f4\u6d41\u5206\u91cf&#xff0c;\u5927\u5757\u5747\u5300\u660e\u6697&#xff0c;\u5c5e\u4e8e\u4f4e\u9891&#xff1b;<\/li>\n<li>\u6211\u4eec\u672c\u6b21\u76ee\u6807\u4e2d\u9891&#xff1a;\u5468\u671f<img decoding=\"async\" alt=\"(4\\\\sim8\\\\ \\\\mathrm{px})\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041942-6abc8dde69eca.png\" \/>&#xff0c;\u6362\u7b97&#xff1a;<\/li>\n<\/ul>\n<p><img decoding=\"async\" alt=\"(T_p=8\\\\ \\\\mathrm{px}\\\\Rightarrow f_{sp}=\\\\frac18=0.125\\\\ \\\\mathrm{cycle\/px},\\\\quad T_p=4\\\\ \\\\mathrm{px}\\\\Rightarrow f_{sp}=\\\\frac14=0.25\\\\ \\\\mathrm{cycle\/px})\" class=\"mathcode\" src=\"2026-09-30c5mxk55goyd.png\" \/><\/p>\n<p>\u6b63\u597d\u5939\u5728\u4f4e\u9891\u4e0e\u9ad8\u9891\u4e2d\u95f4&#xff0c;\u662f\u56fe\u50cf\u4e2d\u9891&#xff0c;\u4e5f\u662f\u81ea\u52a8\u5bf9\u7126\u6700\u4f9d\u8d56\u7684\u7ec6\u8282\u9891\u6bb5\u3002<\/p>\n<p>\u5c0f\u660e&#xff1a;\u660e\u767d\u4e86&#xff01;\u5468\u671f\u8d8a\u5927&#xff0c;\u6761\u7eb9\u8d8a\u7c97&#xff0c;\u7a7a\u95f4\u9891\u7387\u8d8a\u4f4e&#xff1b;\u5468\u671f\u8d8a\u5c0f&#xff0c;\u6761\u7eb9\u8d8a\u7ec6\u5bc6&#xff0c;\u7a7a\u95f4\u9891\u7387\u8d8a\u9ad8&#xff1b;\u7ec6\u5230\u4e00\u4e2a\u5468\u671f\u53ea\u6709 2 \u4e2a\u50cf\u7d20&#xff0c;\u5c31\u5230\u56fe\u50cf\u80fd\u5206\u8fa8\u7684\u5929\u82b1\u677f\u4e86&#xff0c;\u518d\u7ec6\u5c31\u4f1a\u53d1\u751f\u6df7\u53e0\u3002\u4f4e\u9891\u662f\u5927\u5757\u4eae\u5ea6&#xff0c;\u4e2d\u9891\u662f\u8fb9\u7f18\u7eb9\u7406&#xff0c;\u9ad8\u9891\u5f88\u591a\u662f\u566a\u58f0\u3002<\/p>\n<p>\u8001\u674e&#xff1a;\u5b8c\u5168\u6b63\u786e\u3002\u6709\u4e86\u8fd9\u4e2a\u57fa\u7840&#xff0c;\u6211\u4eec\u7ee7\u7eed\u6ee4\u6ce2\u5668\u63a8\u5bfc\u3002 \u76ee\u6807\u901a\u5e26\u7a7a\u95f4\u9891\u7387<img decoding=\"async\" alt=\"(f_{sp}\\\\in[0.125,\\\\ 0.25]\\\\ \\\\mathrm{cycle\/px})\" class=\"mathcode\" src=\"2026-09-30aqlel4ccaln.png\" \/>&#xff0c;\u5bf9\u5e94\u6570\u5b57\u89d2\u9891\u7387<\/p>\n<p><img decoding=\"async\" alt=\"(\\\\omega=2\\\\pi f_{sp})\" class=\"mathcode\" src=\"2026-09-30hq4yvdysiee.png\" \/><\/p>\n<p>\u8bf7\u4f60\u5199\u51fa\u901a\u5e26\u7684\u4e0a\u4e0b\u89d2\u9891\u7387<img decoding=\"async\" alt=\"(\\\\omega_L\\\\),\\\\(\\\\omega_H)\" class=\"mathcode\" src=\"2026-09-30fakxksjzgug.png\" \/>\u3002<\/p>\n<p>\u5c0f\u660e&#xff1a;\u4ee3\u5165\u516c\u5f0f&#xff1a;<img decoding=\"async\" alt=\"(\\\\omega_L=2\\\\pi\\\\cdot 0.125=\\\\dfrac{\\\\pi}{4}\\\\ \\\\mathrm{rad})(\\\\omega_H=2\\\\pi\\\\cdot 0.25=\\\\dfrac{\\\\pi}{2}\\\\ \\\\mathrm{rad})\" class=\"mathcode\" src=\"2026-09-3014ws5noh4ax.png\" \/>\u3002<\/p>\n<p>\u8001\u674e&#xff1a;\u6b63\u786e\u3002\u7406\u60f3\u5e26\u901a\u6ee4\u6ce2\u5668&#xff0c;\u53ea\u5141\u8bb8<img decoding=\"async\" alt=\"(\\\\omega_L\\\\le|\\\\omega|\\\\le\\\\omega_H)\" class=\"mathcode\" src=\"2026-09-302f1tnl4qzan.png\" \/>\u5b8c\u5168\u901a\u8fc7&#xff0c;\u5176\u4f59\u9891\u7387\u589e\u76ca\u4e3a 0\u3002\u5148\u56de\u5fc6\u7406\u60f3\u8fde\u7eed\u2011\u65f6\u95f4\u5e26\u901a\u7684\u8109\u51b2\u54cd\u5e94&#xff0c;\u518d\u6620\u5c04\u5230\u79bb\u6563\u7a7a\u57df\u3002 \u7406\u60f3\u5e26\u901a\u7684\u5355\u4f4d\u8109\u51b2\u54cd\u5e94&#xff08;\u65e0\u9650\u957f&#xff09;&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(h_{ideal}[n]=\\\\frac{\\\\sin\\\\big(\\\\frac{\\\\mathrm{BW}}{2}\\\\,n\\\\big)}{\\\\pi n}\\\\cdot \\\\cos(\\\\omega_c\\\\,n),\\\\quad n\\\\neq 0\\\\) \\\\(h_{ideal}[0]=\\\\frac{\\\\mathrm{BW}}{\\\\pi})\" class=\"mathcode\" src=\"2026-09-30ubkix0hkwkl.png\" \/><\/p>\n<p>\u5176\u4e2d&#xff1a;<\/p>\n<ul>\n<li>\u901a\u5e26\u5e26\u5bbd&#xff1a;<img decoding=\"async\" alt=\"(\\\\mathrm{BW}=\\\\omega_H-\\\\omega_L)\" class=\"mathcode\" src=\"2026-09-30xrozrw0rztw.png\" \/><\/li>\n<li>\u901a\u5e26\u4e2d\u5fc3\u89d2\u9891\u7387&#xff1a;<img decoding=\"async\" alt=\"(\\\\omega_c=\\\\dfrac{\\\\omega_L+\\\\omega_H}{2})\" class=\"mathcode\" src=\"2026-09-302ngbb5ukl3e.png\" \/><\/li>\n<\/ul>\n<p>\u5c0f\u660e&#xff1a;\u90a3\u4ee3\u5165\u6211\u4eec\u4e2d\u9891\u76ee\u6807&#xff0c;<img decoding=\"async\" alt=\"(\\\\mathrm{BW})\" class=\"mathcode\" src=\"2026-09-30gp33wzqikng.png\" \/>\u4e0e<img decoding=\"async\" alt=\"(\\\\omega_c)\" class=\"mathcode\" src=\"2026-09-30c1vdgofmyqh.png\" \/>\u7b49\u4e8e\u591a\u5c11&#xff1f;<\/p>\n<p>\u8001\u674e&#xff1a;\u4f60\u6765\u7b97\u3002<\/p>\n<p>\u5c0f\u660e&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(\\\\mathrm{BW}=\\\\frac{\\\\pi}{2}-\\\\frac{\\\\pi}{4}=\\\\frac{\\\\pi}{4}\\\\) \\\\(\\\\omega_c=\\\\frac{1}{2}\\\\left(\\\\frac{\\\\pi}{4}+\\\\frac{\\\\pi}{2}\\\\right)=\\\\frac{3\\\\pi}{8}\\\\ \\\\mathrm{rad})\" class=\"mathcode\" src=\"2026-09-30obdwfgjar5a.png\" \/><\/p>\n<p>\u8001\u674e&#xff1a;\u5b8c\u5168\u5bf9\u3002\u73b0\u5728\u7406\u60f3<img decoding=\"async\" alt=\"(h_{ideal}[n])\" class=\"mathcode\" src=\"2026-09-30trojbqsapzl.png\" \/>\u662f\u65e0\u9650\u957f&#xff0c;\u800c\u6211\u4eec\u53ea\u5141\u8bb85 \u4e2a\u62bd\u5934\u3002<\/p>\n<p>FIR \u7a97\u51fd\u6570\u6cd5\u6838\u5fc3\u601d\u60f3&#xff1a;\u62ff\u4e00\u4e2a\u7a97\u53e3&#xff0c;\u628a\u65e0\u9650\u957f\u7406\u60f3\u54cd\u5e94 \u201c\u622a\u53d6\u201d \u51fa\u6709\u9650\u4e2a\u70b9&#xff0c;\u4f5c\u4e3a\u6211\u4eec FIR \u7cfb\u6570\u3002<\/p>\n<p>5 \u62bd\u5934&#xff0c;\u5947\u6570\u957f\u5ea6(N&#061;5)&#xff0c;\u5bf9\u5e94\u5bf9\u79f0\u4e2d\u5fc3\u5316\u4e0b\u6807 (n&#061;-2,-1,0,1,2)&#xff0c;\u4e4b\u540e\u518d\u6574\u4f53\u53f3\u79fb 2 \u5f97\u5230\u56e0\u679c\u4e0b\u6807 (0,1,2,3,4)\u3002<\/p>\n<p>\u4e2d\u5fc3\u5316\u7d22\u5f15&#xff1a;(n&#061;-2,-1,0,1,2)&#xff0c;\u4ee3\u5165\u7406\u60f3\u516c\u5f0f&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(\\\\begin{aligned} h_{ideal}[0]&amp;=\\\\frac{\\\\mathrm{BW}}{\\\\pi}=\\\\frac{\\\\pi\/4}{\\\\pi}=0.25\\\\\\\\ h_{ideal}[1]&amp;=\\\\frac{\\\\sin(\\\\mathrm{BW}\/2\\\\cdot 1)}{\\\\pi\\\\cdot 1}\\\\cos(\\\\omega_c\\\\cdot 1) =\\\\frac{\\\\sin(\\\\pi\/8)}{\\\\pi}\\\\cos\\\\left(\\\\frac{3\\\\pi}{8}\\\\right)\\\\\\\\ h_{ideal}[2]&amp;=\\\\frac{\\\\sin(\\\\mathrm{BW}\/2\\\\cdot 2)}{\\\\pi\\\\cdot 2}\\\\cos(\\\\omega_c\\\\cdot 2) =\\\\frac{\\\\sin(\\\\pi\/4)}{2\\\\pi}\\\\cos\\\\left(\\\\frac{3\\\\pi}{4}\\\\right) \\\\end{aligned})\" class=\"mathcode\" src=\"2026-09-30gj5on1wvv0u.png\" \/><\/p>\n<p>\u7531\u4e8e\u7406\u60f3\u5e26\u901a\u662f\u5b9e\u5076\u51fd\u6570&#xff1a;<img decoding=\"async\" alt=\"(h_{ideal}[-n]=h_{ideal}[n])\" class=\"mathcode\" src=\"2026-09-304vznh0b41mw.png\" \/>\u3002<\/p>\n<p>\u5c0f\u660e&#xff1a;\u6211\u7b97\u6570\u503c&#xff1a;<img decoding=\"async\" alt=\"(\\\\sin(\\\\pi\/8)\\\\approx0.3827,\\\\ \\\\cos(3\\\\pi\/8)\\\\approx0.3827\\\\) \\\\(h_{ideal}[1]=\\\\dfrac{0.3827\\\\cdot 0.3827}{\\\\pi}\\\\approx 0.0465)\" class=\"mathcode\" src=\"2026-09-30iln2u1rawj3.png\" \/><\/p>\n<p><img decoding=\"async\" alt=\"(\\\\sin(\\\\pi\/4)\\\\approx0.7071,\\\\ \\\\cos(3\\\\pi\/4)=-0.7071\\\\) \\\\(h_{ideal}[2]=\\\\dfrac{0.7071\\\\cdot(-0.7071)}{2\\\\pi}\\\\approx -0.0796)\" class=\"mathcode\" src=\"2026-09-30qqbyfwocqpc.png\" \/><\/p>\n<p>\u4e2d\u5fc3\u5316\u7406\u60f3 5 \u70b9&#xff1a;<img decoding=\"async\" alt=\"(n=-2:-0.0796,\\\\ n=-1:0.0465,\\\\ n=0:0.25,\\\\ n=1:0.0465,\\\\ n=2:-0.0796)\" class=\"mathcode\" src=\"2026-09-30smagi5xwqkc.png\" \/>\u3002 \u518d\u53f3\u79fb 2 \u53d8\u6210\u56e0\u679c\u62bd\u5934 (k&#061;0,1,2,3,4)&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(h[0]=-0.0796,\\\\ h[1]=0.0465,\\\\ h[2]=0.25,\\\\ h[3]=0.0465,\\\\ h[4]=-0.0796)\" class=\"mathcode\" src=\"2026-09-302hducatexam.png\" \/><\/p>\n<p>\u8001\u674e&#xff1a;\u5f88\u597d\u3002\u73b0\u5728\u6211\u4eec\u505a\u5173\u952e\u6821\u9a8c&#xff1a;\u76f4\u6d41\u589e\u76ca<img decoding=\"async\" alt=\"(H(e^{j0}))\" class=\"mathcode\" src=\"2026-09-30qjrzgklnx0t.png\" \/>&#xff0c;\u4e5f\u5c31\u662f\u6240\u6709\u7cfb\u6570\u4e4b\u548c\u3002<\/p>\n<p><img decoding=\"async\" alt=\"(\\\\sum h[k] = -0.0796+0.0465+0.25+0.0465-0.0796 = 0.1838)\" class=\"mathcode\" src=\"2026-09-30smast1fsm11.png\" \/><\/p>\n<p>\u5c0f\u660e&#xff0c;\u5e26\u901a\u6ee4\u6ce2\u5668\u76f4\u6d41\u5e94\u8be5\u662f\u591a\u5c11&#xff1f;\u76f4\u6d41\u5bf9\u5e94\u7684\u7a7a\u95f4\u9891\u7387\u662f\u591a\u5c11&#xff1f;<\/p>\n<p>\u5c0f\u660e&#xff1a;\u76f4\u6d41<img decoding=\"async\" alt=\"(f_{sp}=0)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041942-6abc8dde4c58f.png\" \/>&#xff0c;\u5bf9\u5e94\u5468\u671f\u65e0\u7a77\u5927&#xff0c;\u6574\u5f20\u753b\u9762\u4eae\u5ea6\u5747\u5300&#xff0c;\u5c5e\u4e8e\u6781\u7aef\u4f4e\u9891\u3002\u5e26\u901a\u8981\u6ee4\u9664\u76f4\u6d41\u5927\u5757\u4eae\u5ea6&#xff0c;\u76f4\u6d41\u589e\u76ca\u5fc5\u987b\u7b49\u4e8e 0&#xff0c;<img decoding=\"async\" alt=\"(\\\\boldsymbol{\\\\sum h[k]=0})\" class=\"mathcode\" src=\"2026-09-30edpul13qysw.png\" \/>\u3002\u73b0\u5728\u4e0d\u7b49\u4e8e 0&#xff0c;\u8bf4\u660e\u76f4\u63a5\u622a\u65ad\u7406\u60f3\u6ee4\u6ce2\u5668\u5f97\u5230\u7684\u7cfb\u6570\u4e0d\u80fd\u76f4\u63a5\u7528\u5728\u56fe\u50cf AF\u3002<\/p>\n<p>\u8001\u674e&#xff1a;\u4e00\u9488\u89c1\u8840\u3002\u8fd9\u5c31\u662f\u7a97\u51fd\u6570\u6cd5\u77ed\u62bd\u5934\u4e0b\u7684\u73b0\u5b9e\u56f0\u5883&#xff1a; \u76f4\u63a5\u622a\u53d6\u7406\u60f3\u54cd\u5e94&#xff0c;\u4e0d\u80fd\u5929\u7136\u6ee1\u8db3\u76f4\u6d41\u7f6e\u96f6\u7ea6\u675f&#xff1b;5 \u62bd\u5934\u81ea\u7531\u5ea6\u975e\u5e38\u5c11&#xff0c;\u4f60\u4e0d\u53ef\u80fd\u540c\u65f6\u5b8c\u7f8e\u590d\u523b\u7406\u60f3\u77e9\u5f62\u5e26\u901a &#043; \u5f3a\u5236\u76f4\u6d41\u4e3a 0\u3002<\/p>\n<p>5\u2011tap\u3001\u5947\u6570\u3001\u60f3\u8981\u7ebf\u6027\u76f8\u4f4d&#xff0c;\u5fc5\u987b\u53d6I \u7c7b\u7ebf\u6027\u76f8\u4f4d&#xff08;\u5bf9\u79f0&#xff09;&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(h[k]=h[4-k],\\\\quad k=0,1,2,3,4)\" class=\"mathcode\" src=\"2026-09-30ru2sixxmo2e.png\" \/><\/p>\n<p>\u5373 <img decoding=\"async\" alt=\"(h[0]=h[4],\\\\ h[1]=h[3])\" class=\"mathcode\" src=\"2026-09-30nydzylalpo1.png\" \/>&#xff0c;\u53ea\u6709\u4e09\u4e2a\u81ea\u7531\u53d8\u91cf&#xff1a;<img decoding=\"async\" alt=\"(h_0=h[0],\\\\ h_1=h[1],\\\\ h_2=h[2])\" class=\"mathcode\" src=\"2026-09-30xlzexvwwz5g.png\" \/>\u3002<\/p>\n<p>\u4f20\u9012\u51fd\u6570&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(H(z)=h_0+h_1 z^{-1}+h_2 z^{-2}+h_1 z^{-3}+h_0 z^{-4})\" class=\"mathcode\" src=\"2026-09-30hwrtiwmmlm1.png\" \/><\/p>\n<p>\u4ee3\u5165\u5355\u4f4d\u5706 <img decoding=\"async\" alt=\"(z=e^{j\\\\omega})\" class=\"mathcode\" src=\"2026-09-30w5gjkeo5wje.png\" \/>&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(H(e^{j\\\\omega}) =e^{-j2\\\\omega}\\\\Big[ h_2 + 2h_1\\\\cos\\\\omega + 2h_0\\\\cos2\\\\omega \\\\Big])\" class=\"mathcode\" src=\"2026-09-30bj0kmivswtu.png\" \/><\/p>\n<p>\u5c0f\u660e&#xff1a;<img decoding=\"async\" alt=\"(e^{-j2\\\\omega})\" class=\"mathcode\" src=\"2026-09-30twuxlpkgq2v.png\" \/>\u662f\u76f8\u4f4d\u9879&#xff0c;\u5e45\u503c\u53ea\u7531\u62ec\u53f7\u91cc\u9762\u5b9e\u51fd\u6570\u51b3\u5b9a&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(A(\\\\omega)=h_2 + 2h_1\\\\cos\\\\omega + 2h_0\\\\cos2\\\\omega)\" class=\"mathcode\" src=\"2026-09-30qxonj0dnuj0.png\" \/><\/p>\n<p>\u76f8\u4f4d\u5c31\u662f\u56fa\u5b9a\u5ef6\u8fdf<img decoding=\"async\" alt=\"(-2\\\\omega)\" class=\"mathcode\" src=\"2026-09-30jxpe1dmcpts.png\" \/>&#xff0c;\u5168\u90e8\u9891\u7387\u7edf\u4e00\u5ef6\u8fdf 2 \u50cf\u7d20&#xff0c;\u7ebf\u6027\u76f8\u4f4d&#xff0c;\u8fb9\u7f18\u4f4d\u7f6e\u4e0d\u4f1a\u504f\u79fb&#xff0c;\u9002\u5408 AF\u3002<\/p>\n<p>\u8001\u674e&#xff1a;\u6ca1\u9519\u3002\u73b0\u5728\u52a0\u4e0a\u5e26\u901a\u786c\u6027\u7ea6\u675f&#xff1a;\u76f4\u6d41\u589e\u76ca\u4e3a 0&#xff0c;<img decoding=\"async\" alt=\"(\\\\boldsymbol{A(0)=0}\\\\). \\\\(\\\\omega=0,\\\\ \\\\cos0=1,\\\\ \\\\cos2\\\\cdot0=1)\" class=\"mathcode\" src=\"2026-09-30qt3yewdllcl.png\" \/>&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(A(0)=h_2+2h_1+2h_0 = 0 \\\\implies \\\\boldsymbol{h_2 = -2(h_0+h_1)})\" class=\"mathcode\" src=\"2026-09-30bihu4jnamwn.png\" \/><\/p>\n<p>\u628a<img decoding=\"async\" alt=\"(h_2)\" class=\"mathcode\" src=\"2026-09-30ynvmqsocvmf.png\" \/>\u6d88\u6389&#xff0c;\u5e45\u503c\u51fd\u6570\u53ea\u5269\u4e0b\u4e24\u4e2a\u81ea\u7531\u5ea6<img decoding=\"async\" alt=\"(h_0,h_1)\" class=\"mathcode\" src=\"2026-09-305baam14kbt4.png\" \/>&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(A(\\\\omega)= -2(h_0+h_1)+2h_1\\\\cos\\\\omega + 2h_0\\\\cos2\\\\omega)\" class=\"mathcode\" src=\"2026-09-30isiodmiue1k.png\" \/><\/p>\n<p>5 \u62bd\u5934\u5bf9\u79f0 I \u7c7b FIR \u5e26\u901a&#xff0c;\u6570\u5b66\u4e0a\u5c31\u53ea\u6709\u4e24\u4e2a\u53ef\u8c03\u53c2\u6570&#xff0c;\u4f60\u4e0d\u80fd\u968f\u5fc3\u6240\u6b32\u4efb\u610f\u5851\u9020\u5e45\u9891&#xff0c;\u8fd9\u662f\u786c\u4ef6\u77ed\u7a97\u53e3\u7684\u56fa\u6709\u5c40\u9650\u3002<\/p>\n<p>\u8001\u674e&#xff1a;\u6211\u4eec\u7684\u76ee\u6807&#xff1a;\u8ba9<img decoding=\"async\" alt=\"(|A(\\\\omega)|)\" class=\"mathcode\" src=\"2026-09-30e5czuzoju5f.png\" \/>\u5728\u4e2d\u9891\u533a\u95f4<img decoding=\"async\" alt=\"(\\\\omega\\\\in[\\\\pi\/4,\\\\ \\\\pi\/2])\" class=\"mathcode\" src=\"2026-09-30wrsw0nydbvf.png\" \/>\u53d6\u6700\u5927\u503c&#xff1b;<\/p>\n<ul>\n<li><img decoding=\"async\" alt=\"(\\\\omega\\\\to0)\" class=\"mathcode\" src=\"2026-09-30i4gpakwt5xf.png\" \/>&#xff1a;\u5bf9\u5e94\u4f4e\u9891<img decoding=\"async\" alt=\"(T_p&gt;8\\\\mathrm{px})\" class=\"mathcode\" src=\"2026-09-30ognbxnmnqsd.png\" \/>\u5927\u5757\u4eae\u5ea6&#xff09;&#xff0c;\u8981\u538b\u4f4e&#xff1b;<\/li>\n<li><img decoding=\"async\" alt=\"(\\\\omega\\\\to\\\\pi)\" class=\"mathcode\" src=\"2026-09-30eqxmums3125.png\" \/>&#xff1a;\u5bf9\u5e94\u5948\u594e\u65af\u7279\u6781\u9650\u9ad8\u9891<img decoding=\"async\" alt=\"(T_p=2\\\\mathrm{px})\" class=\"mathcode\" src=\"2026-09-30ihi24jmu4ap.png\" \/>\u566a\u58f0&#xff09;&#xff0c;\u4e5f\u8981\u5c3d\u91cf\u538b\u4f4e\u3002<\/li>\n<\/ul>\n<p>\u4e3a\u7b80\u5316\u786c\u4ef6\u5b9e\u73b0&#xff0c;\u4f18\u5148\u5bfb\u627e\u6574\u6570\u7cfb\u6570\u89e3&#xff0c;\u65b9\u4fbf\u5b9a\u70b9\u786c\u4ef6 MAC \u8fd0\u7b97\u3002 \u628a<img decoding=\"async\" alt=\"(A(\\\\omega))\" class=\"mathcode\" src=\"2026-09-30v3bsxsqjz1y.png\" \/>\u6574\u7406&#xff0c;\u4ee3\u5165\u4e09\u89d2\u6052\u7b49\u5f0f<img decoding=\"async\" alt=\"(\\\\cos2\\\\omega=2\\\\cos^2\\\\omega-1)\" class=\"mathcode\" src=\"2026-09-30jp1mbbuhyad.png\" \/>&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(\\\\begin{aligned} A(\\\\omega) &amp;=-2h_0-2h_1 +2h_1\\\\cos\\\\omega + 2h_0(2\\\\cos^2\\\\omega-1)\\\\\\\\ &amp;=4h_0\\\\cos^2\\\\omega + 2h_1\\\\cos\\\\omega -4h_0-2h_1 \\\\end{aligned})\" class=\"mathcode\" src=\"2026-09-30uynqvu5qpex.png\" \/><\/p>\n<p>\u5c0f\u660e&#xff1a;\u73b0\u5728\u5c31\u662f\u4e24\u4e2a\u53c2\u6570<img decoding=\"async\" alt=\"(h_0,h_1)\" class=\"mathcode\" src=\"2026-09-305baam14kbt4.png\" \/>&#xff0c;\u6c42\u4f7f<img decoding=\"async\" alt=\"(A(\\\\omega))\" class=\"mathcode\" src=\"2026-09-30v3bsxsqjz1y.png\" \/>\u5cf0\u503c\u843d\u5728\u4e2d\u9891\u3002\u524d\u9762\u5de5\u7a0b\u4f8b\u5b50<img decoding=\"async\" alt=\"(h_0=-1,\\\\ h_1=2)\" class=\"mathcode\" src=\"2026-09-30gs4ixx2gaw4.png\" \/>&#xff0c;\u90a3<img decoding=\"async\" alt=\"(h_2=-2(-1+2)=-2)\" class=\"mathcode\" src=\"2026-09-305wti4knxy4s.png\" \/>&#xff1f;\u4e0d\u5bf9&#xff0c;\u4e4b\u524d\u7684\u4f8b\u5b50 h2 \u662f 0\u3002<\/p>\n<p>\u8001\u674e&#xff1a;\u6211\u4eec\u4ee3\u5165\u5b9e\u4f8b <img decoding=\"async\" alt=\"(h_0=-1,\\\\ h_1=2)\" class=\"mathcode\" src=\"2026-09-30gs4ixx2gaw4.png\" \/>&#xff0c;\u5219<\/p>\n<p><img decoding=\"async\" alt=\"(h_2=-2(h_0+h_1)=-2(-1+2)=-2)\" class=\"mathcode\" src=\"2026-09-30ysbbihq1uh3.png\" \/><\/p>\n<p>\u90a3\u5b8c\u6574\u7cfb\u6570\u662f([-1,2,-2,2,-1])\u3002 \u4f46\u4e4b\u524d\u7528\u7684\u662f([-1,2,0,2,-1])&#xff0c;\u8fd9\u7ec4\u6ee1\u8db3<img decoding=\"async\" alt=\"(h_2=0)\" class=\"mathcode\" src=\"2026-09-30qah0hleujlp.png\" \/>&#xff0c;\u6b64\u65f6\u56de\u4ee3\u7ea6\u675f<img decoding=\"async\" alt=\"(h_2=-2(h_0+h_1))\" class=\"mathcode\" src=\"2026-09-30ilfqsrkzk30.png\" \/>&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(0=-2(h_0+h_1)\\\\implies h_1=-h_0)\" class=\"mathcode\" src=\"2026-09-30b202n43j4x4.png\" \/><\/p>\n<p>\u8fd9\u662f\u5728\u4e24\u4e2a\u81ea\u7531\u5ea6\u4e0a\u518d\u65bd\u52a0\u4e00\u4e2a\u989d\u5916\u6761\u4ef6<img decoding=\"async\" alt=\"(h_2=0)\" class=\"mathcode\" src=\"2026-09-30qah0hleujlp.png\" \/>&#xff0c;\u53ea\u5269\u4e00\u4e2a\u81ea\u7531\u5ea6\u3002<\/p>\n<p>\u4ee4<img decoding=\"async\" alt=\"(h_0=-k,\\\\ h_1=+k)\" class=\"mathcode\" src=\"2026-09-303fd4iw3mpl0.png\" \/>&#xff0c;k\u4e3a\u7f29\u653e\u5e38\u6570&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(h=\\\\big[-k,\\\\ +k,\\\\ 0,\\\\ +k,\\\\ -k\\\\big])\" class=\"mathcode\" src=\"2026-09-30s3rnifzarpz.png\" \/><\/p>\n<p>\u53d6(k&#061;2\u5f97\u5230\u6574\u6570&#xff1a;<img decoding=\"async\" alt=\"(\\\\boldsymbol{h=[-1,\\\\ 2,\\\\ 0,\\\\ 2,\\\\ -1]})\" class=\"mathcode\" src=\"2026-09-30uqi1tths21m.png\" \/>\u3002 \u73b0\u5728\u628a<img decoding=\"async\" alt=\"(h_0=-1,\\\\ h_1=2,\\\\ h_2=0)\" class=\"mathcode\" src=\"2026-09-302lpga13p5pq.png\" \/>\u4ee3\u5165\u5e45\u503c\u51fd\u6570&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(A(\\\\omega)=0 + 2\\\\cdot 2\\\\cos\\\\omega + 2\\\\cdot(-1)\\\\cos2\\\\omega =4\\\\cos\\\\omega-2\\\\cos2\\\\omega)\" class=\"mathcode\" src=\"2026-09-30g4ekfhnxz3q.png\" \/><\/p>\n<p>\u8001\u674e&#xff1a;\u6c42\u5cf0\u503c\u4f4d\u7f6e&#xff0c;\u5bf9<img decoding=\"async\" alt=\"(\\\\omega)\" class=\"mathcode\" src=\"2026-09-30zxwbgbggxm4.png\" \/>\u6c42\u5bfc\u627e\u6781\u503c\u70b9\u3002<br \/>\n<img decoding=\"async\" alt=\"(\\\\frac{dA}{d\\\\omega}= -4\\\\sin\\\\omega +4\\\\sin2\\\\omega\\\\) \\\\(\\\\sin2\\\\omega=2\\\\sin\\\\omega\\\\cos\\\\omega\\\\) \\\\(\\\\frac{dA}{d\\\\omega}= -4\\\\sin\\\\omega +8\\\\sin\\\\omega\\\\cos\\\\omega =4\\\\sin\\\\omega\\\\big(-1+2\\\\cos\\\\omega\\\\big))\" class=\"mathcode\" src=\"2026-09-301gt3xetad51.png\" \/><\/p>\n<p>\u4ee4\u5bfc\u6570\u7b49\u4e8e 0&#xff0c;\u627e\u975e\u96f6\u89e3<img decoding=\"async\" alt=\"(\\\\sin\\\\omega\\\\neq0)\" class=\"mathcode\" src=\"2026-09-30zvfyzi4beph.png\" \/>&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(-1+2\\\\cos\\\\omega=0 \\\\implies \\\\cos\\\\omega=\\\\frac12\\\\) \\\\(\\\\boldsymbol{\\\\omega_{peak}=\\\\frac{\\\\pi}{3}\\\\approx 1.047\\\\ \\\\mathrm{rad}})\" class=\"mathcode\" src=\"2026-09-304axivntjh00.png\" \/><\/p>\n<p>\u5c0f\u660e&#xff1a;\u90a3\u6362\u7b97\u7a7a\u95f4\u9891\u7387\u4e0e\u5468\u671f&#xff1a;<\/p>\n<p><img decoding=\"async\" alt=\"(f_{sp,peak}=\\\\frac{\\\\omega_{peak}}{2\\\\pi}= \\\\frac{\\\\pi\/3}{2\\\\pi}=\\\\frac16\\\\approx 0.1667\\\\ \\\\mathrm{cycle\/px}\\\\) \\\\(T_{p,peak}=\\\\frac{1}{f_{sp,peak}}=6\\\\ \\\\mathrm{px})\" class=\"mathcode\" src=\"2026-09-30eugau42upms.png\" \/><\/p>\n<p>\u6b63\u597d\u843d\u5728\u6211\u4eec\u6307\u5b9a\u4e2d\u9891\u533a\u95f4<img decoding=\"async\" alt=\"(4\\\\sim8\\\\mathrm{px})\" class=\"mathcode\" src=\"2026-09-305pnvphz2l4h.png\" \/> \u7684\u4e2d\u95f4&#xff0c;\u5927\u4e8e 2px&#xff0c;\u6ee1\u8db3\u5948\u594e\u65af\u7279\u6761\u4ef6&#xff0c;\u4e0d\u4f1a\u51fa\u73b0\u6df7\u53e0\u3002<\/p>\n<p>\u8001\u674e&#xff1a;\u5bf9\u3002\u8fd9\u5c31\u662f\u8fd9\u7ec4\u7ecf\u5178 5 \u62bd\u5934 FIR \u7cfb\u6570\u5b8c\u6574\u6570\u5b66\u6765\u6e90\u3002<img decoding=\"async\" alt=\"(T_p=4\\\\mathrm{px})\" class=\"mathcode\" src=\"2026-09-30grnltqodtnl.png\" \/><\/p>\n<p>\u5b83\u4e0d\u662f\u51ed\u7a7a\u8bd5\u51fa\u6765\u7684&#xff0c;\u662f\u5728&#xff1a;<\/p>\n<li>5 \u62bd\u5934&#xff1b;<\/li>\n<li>I \u7c7b\u5bf9\u79f0\u7ebf\u6027\u76f8\u4f4d&#xff08;\u4fdd\u8bc1 AF \u8fb9\u7f18\u4e0d\u504f\u79fb&#xff09;&#xff1b;<\/li>\n<li>\u5f3a\u5236\u76f4\u6d41\u589e\u76ca &#061; 0&#xff08;\u6ee4\u9664\u5927\u5757\u4eae\u5ea6\u6f02\u79fb&#xff0c;\u6291\u5236\u4f4e\u9891&#xff09;&#xff1b;<\/li>\n<li>\u9644\u52a0\u6761\u4ef6<img decoding=\"async\" alt=\"(h_2=0)\" class=\"mathcode\" src=\"2026-09-30qah0hleujlp.png\" \/>\u7b80\u5316\u786c\u4ef6\u8ba1\u7b97&#xff1b; \u8fd9\u4e9b\u7ea6\u675f\u4e0b&#xff0c;\u89e3\u6790\u6c42\u51fa\u7684\u5cf0\u503c\u843d\u5728 6px \u4e2d\u9891\u7684\u6574\u6570\u89e3\u3002<\/li>\n<p>\u5c0f\u660e&#xff1a;\u90a3\u6211\u73b0\u5728\u60f3\u6362\u4e00\u4e2a\u6307\u5b9a\u4e2d\u9891&#xff0c;\u6bd4\u5982\u6211\u5e0c\u671b\u5cf0\u503c\u653e\u5728&#xff0c;\u4e5f\u5c31\u662f<img decoding=\"async\" alt=\"(f_{sp}=0.25\\\\ \\\\mathrm{cycle\/px}\\\\),\\\\(\\\\omega_{peak}=\\\\pi\/2)\" class=\"mathcode\" src=\"2026-09-305xxitibklef.png\" \/>&#xff0c;\u90a3\u6211\u600e\u4e48\u6c42 5 \u62bd\u5934\u5bf9\u79f0 FIR \u7cfb\u6570&#xff1f;<\/p>\n<p>\u8001\u674e&#xff1a;\u5f88\u597d&#xff0c;\u8fd9\u5c31\u56de\u5230 \u201c\u7ed9\u5b9a\u76ee\u6807\u4e2d\u9891&#xff0c;\u600e\u4e48\u8bbe\u8ba1 5\u2011tap FIR\u201d \u901a\u7528\u6d41\u7a0b&#xff0c;\u6211\u4eec\u628a\u5b8c\u6574\u6d41\u7a0b\u68b3\u7406\u51fa\u6765\u3002<\/p>\n<h3>\u7ed9\u5b9a\u76ee\u6807\u4e2d\u9891&#xff0c;\u8bbe\u8ba1 5 \u62bd\u5934\u5bf9\u79f0 FIR \u5e26\u901a\u5b8c\u6574\u6d41\u7a0b&#xff08;\u7406\u8bba&#xff09;<\/h3>\n<p>\u524d\u7f6e\u57fa\u7840\u56de\u987e :<\/p>\n<p>1. \u50cf\u7d20\u5468\u671f<img decoding=\"async\" alt=\"(T_p)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041940-6abc8ddcb7027.png\" \/>&#xff1a;\u4e00\u4e2a\u660e\u6697\u6761\u7eb9\u5468\u671f\u5360\u591a\u5c11\u50cf\u7d20&#xff1b;<\/p>\n<p>2. \u7a7a\u95f4\u9891\u7387<img decoding=\"async\" alt=\"(f_{sp}=\\\\dfrac{1}{T_p})\" class=\"mathcode\" src=\"2026-09-30ybocaeycspc.png\" \/>&#xff0c;\u5355\u4f4d cycle\/px&#xff1b;<\/p>\n<p>3. \u56fe\u50cf\u7a7a\u57df\u7eb9\u7406\u5212\u5206<\/p>\n<ul>\n<li>\u4f4e\u9891&#xff1a;<img decoding=\"async\" alt=\"(T_p&gt;8\\\\mathrm{px},\\\\ f_{sp}&lt;0.125\\\\ \\\\mathrm{cycle\/px})\" class=\"mathcode\" src=\"2026-09-30lxodf4fskux.png\" \/>&#xff0c;\u5927\u5757\u660e\u6697\u5149\u7167&#xff1b;<\/li>\n<li>\u4e2d\u9891&#xff1a;<img decoding=\"async\" alt=\"(4\\\\mathrm{px}\\\\le T_p\\\\le8\\\\mathrm{px},\\\\ 0.125\\\\le f_{sp}\\\\le0.25\\\\ \\\\mathrm{cycle\/px})\" class=\"mathcode\" src=\"2026-09-30bpjp5uk0vsc.png\" \/>&#xff0c;\u8fb9\u7f18\u4e0e\u5bf9\u7126\u7ec6\u8282&#xff1b;<\/li>\n<li>\u9ad8\u9891&#xff1a;<img decoding=\"async\" alt=\"(2\\\\mathrm{px}\\\\le T_p&lt;4\\\\mathrm{px},\\\\ 0.25&lt;f_{sp}\\\\le0.5\\\\ \\\\mathrm{cycle\/px})\" class=\"mathcode\" src=\"2026-09-30ysadavdulas.png\" \/>&#xff0c;\u7ec6\u7eb9\u7406\u3001\u566a\u58f0&#xff1b; 4. \u5948\u594e\u65af\u7279\u6781\u9650&#xff1a;\u6700\u5c0f\u53ef\u5206\u8fa8\u5468\u671f\\\\(T_p&#061;2\\\\ \\\\mathrm{px}\\\\)&#xff0c;\u5bf9\u5e94\u6700\u9ad8\u7a7a\u95f4\u9891\u7387<img decoding=\"async\" alt=\"(f_{sp}=0.5\\\\ \\\\mathrm{cycle\/px})\" class=\"mathcode\" src=\"2026-09-300pj1l3gqirn.png\" \/>&#xff1b; \u4efb\u4f55\u8bbe\u8ba1\u7684\u6ee4\u6ce2\u5668\u6709\u6548\u901a\u5e26&#xff0c;<img decoding=\"async\" alt=\"(T_p)\" class=\"mathcode\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260930041940-6abc8ddcb7027.png\" \/>\u5fc5\u987b\u5927\u4e8e 2px&#xff0c;\u5426\u5219\u53d1\u751f\u6df7\u53e0\u3002<\/li>\n<\/ul>\n<p>\u5df2\u77e5\u76ee\u6807\u5cf0\u503c\u7a7a\u95f4\u5468\u671f<img decoding=\"async\" alt=\"(T_{p,\\\\mathrm{target}})\" class=\"mathcode\" src=\"2026-09-30bvdhgebuybm.png\" \/><\/p>\n<li>\u8ba1\u7b97\u76ee\u6807\u5cf0\u503c\u7a7a\u95f4\u9891\u7387&#xff1a; <img decoding=\"async\" alt=\"(f_{sp,\\\\mathrm{peak}}=\\\\frac{1}{T_{p,\\\\mathrm{target}}})\" class=\"mathcode\" src=\"2026-09-300ouuyi3nhou.png\" \/><\/li>\n<li>\u5948\u594e\u65af\u7279\u6821\u9a8c&#xff1a;\u5fc5\u987b\u6ee1\u8db3 <img decoding=\"async\" alt=\"(f_{sp,\\\\mathrm{peak}} &lt; 0.5\\\\ \\\\mathrm{cycle\/px})\" class=\"mathcode\" src=\"2026-09-30awtnf1pfacf.png\" \/>&#xff0c;\u7b49\u4ef7 <img decoding=\"async\" alt=\"(T_{p,\\\\mathrm{target}}&gt;2\\\\ \\\\mathrm{px})\" class=\"mathcode\" src=\"2026-09-30adb5hu50oku.png\" \/>&#xff0c;\u5426\u5219\u8d85\u51fa\u56fe\u50cf\u91c7\u6837\u5206\u8fa8\u80fd\u529b&#xff1b;\u540c\u65f6\u786e\u8ba4\u76ee\u6807\u5c5e\u4e8e\u4f60\u9700\u8981\u7684\u4f4e \/ \u4e2d \/ \u9ad8\u9891\u533a\u95f4\u3002<\/li>\n<li>\u6362\u7b97\u76ee\u6807\u5cf0\u503c\u89d2\u9891\u7387&#xff1a; <img decoding=\"async\" alt=\"(\\\\omega_{\\\\mathrm{peak}}=2\\\\pi f_{sp,\\\\mathrm{peak}})\" class=\"mathcode\" src=\"2026-09-30k1wz2lir52q.png\" \/><\/li>\n<li>5 \u62bd\u5934 I \u7c7b\u5bf9\u79f0 FIR \u5e45\u503c&#xff1a; <img decoding=\"async\" alt=\"(A(\\\\omega)=h_2+2h_1\\\\cos\\\\omega+2h_0\\\\cos2\\\\omega)\" class=\"mathcode\" src=\"2026-09-30rsrxjbq2vy4.png\" \/><\/li>\n<p>\u7ea6\u675f 1&#xff08;\u5e26\u901a\u6ee4\u76f4\u6d41&#xff0c;\u6291\u5236\u4f4e\u9891&#xff09;&#xff1a;<img decoding=\"async\" alt=\"(A(0)=h_2+2h_1+2h_0=0 \\\\Rightarrow h_2=-2(h_0+h_1))\" class=\"mathcode\" src=\"2026-09-30c4zcmijt2bk.png\" \/> 5. \u628a<img decoding=\"async\" alt=\"(h_2)\" class=\"mathcode\" src=\"2026-09-30ynvmqsocvmf.png\" \/>\u6d88\u53bb&#xff0c;\u5f97\u5230\u53ea\u542b<img decoding=\"async\" alt=\"(h_0,h_1)\" class=\"mathcode\" src=\"2026-09-305baam14kbt4.png\" \/>\u7684<img decoding=\"async\" alt=\"(A(\\\\omega))\" class=\"mathcode\" src=\"2026-09-30v3bsxsqjz1y.png\" \/>&#xff1b;<\/p>\n<p>6. \u8981\u6c42&#xff1a;<img decoding=\"async\" alt=\"(\\\\omega=\\\\omega_{\\\\mathrm{peak}})\" class=\"mathcode\" src=\"2026-09-30zedhugah4qs.png\" \/>\u5904\u53d6\u6781\u5927&#xff0c;\u5bfc\u6570<img decoding=\"async\" alt=\"(\\\\dfrac{dA}{d\\\\omega}\\\\Big|_{\\\\omega=\\\\omega_{\\\\mathrm{peak}}}=0)\" class=\"mathcode\" src=\"2026-09-30vqkvu1od2wk.png\" \/>&#xff1b;<\/p>\n<p>7. \u4e0a\u9762\u5f97\u5230\u4e00\u4e2a\u65b9\u7a0b&#xff1b;\u4f46\u6709\u4e24\u4e2a\u672a\u77e5\u6570<img decoding=\"async\" alt=\"(h_0,h_1)\" class=\"mathcode\" src=\"2026-09-305baam14kbt4.png\" \/>&#xff1b;\u89e3\u662f\u4e00\u65cf\u6210\u6bd4\u4f8b\u7684\u89e3&#xff0c;\u6574\u4f53\u7f29\u653e\u4e0d\u6539\u53d8\u6ee4\u6ce2\u5668\u5f62\u72b6&#xff1b;<\/p>\n<p>8. \u7f29\u653e\u4e3a\u6574\u6570&#xff0c;\u9002\u5408\u5b9a\u70b9\u786c\u4ef6&#xff1b;<\/p>\n<p>9. \u6821\u9a8c\u5e45\u9891\u54cd\u5e94&#xff1a;\u68c0\u67e5\u4f4e\u9891<img decoding=\"async\" alt=\"(\\\\omega=0)\" class=\"mathcode\" src=\"2026-09-3044sryxc0dkl.png\" \/>\u3001\u9ad8\u9891<img decoding=\"async\" alt=\"(\\\\omega=\\\\pi)\" class=\"mathcode\" src=\"2026-09-30qljtk2ma5su.png\" \/> \u7684\u589e\u76ca&#xff0c;\u770b\u901a\u5e26\u662f\u5426\u843d\u5728\u76ee\u6807\u7eb9\u7406\u9891\u6bb5&#xff1b;<\/p>\n<p>10. \u6ce8\u610f&#xff1a;5 \u62bd\u5934\u81ea\u7531\u5ea6\u6781\u5c11&#xff0c;\u65e0\u6cd5\u505a\u5230\u7406\u60f3\u77e9\u5f62\u5e26\u901a&#xff0c;\u8fc7\u6e21\u5e26\u5929\u7136\u5f88\u5bbd&#xff0c;\u4e0d\u80fd\u5b9e\u73b0\u6781\u7a84\u5e26&#xff1b;\u60f3\u8981\u7a84\u5e26&#xff0c;\u5fc5\u987b\u589e\u52a0\u62bd\u5934&#xff0c;\u6216\u8005\u6539\u7528 IIR \u6ee4\u6ce2\u5668\u3002<\/p>\n<hr \/>\n<p>\u8001\u674e&#xff1a;\u5c0f\u660e&#xff0c;\u4f60\u518d\u5bf9\u6bd4\u4e00\u4e0b&#xff1a;\u7a97\u51fd\u6570\u76f4\u63a5\u622a\u65ad\u7406\u60f3\u6ee4\u6ce2\u5668\u5f97\u5230\u7684\u90a3\u4e00\u7ec4\u6d6e\u70b9\u7cfb\u6570&#xff0c;\u548c\u6211\u4eec\u5e26\u7ea6\u675f\u89e3\u6790\u6c42\u89e3\u5f97\u5230\u7684\u6574\u6570([-1,2,0,2,-1])\u6709\u4ec0\u4e48\u5dee\u522b&#xff1f;<\/p>\n<p>\u5c0f\u660e&#xff1a;\u76f4\u63a5\u622a\u65ad\u7406\u60f3\u7684&#xff0c;\u6ca1\u6709\u5f3a\u5236<img decoding=\"async\" alt=\"(\\\\sum h[k]=0)\" class=\"mathcode\" src=\"2026-09-300dphsxxbmws.png\" \/>&#xff0c;\u4f4e\u9891\u76f4\u6d41\u6ca1\u6709\u88ab\u6291\u5236&#xff0c;\u56fe\u50cf\u4e0a\u5927\u5757\u660e\u6697\u6f02\u79fb\u4f1a\u76f4\u63a5\u8f93\u51fa\u5927\u7684 FV \u503c&#xff0c;AF \u4f1a\u88ab\u753b\u9762\u6574\u4f53\u4eae\u5ea6\u5e72\u6270\u3002 \u89e3\u6790\u6c42\u89e3\u662f\u5728\u6ee4\u6ce2\u5668\u6570\u5b66\u6a21\u578b\u4e0a\u65bd\u52a0\u56fe\u50cf AF \u7684\u7269\u7406\u7ea6\u675f&#xff08;\u76f4\u6d41\u5fc5\u987b\u5f52\u96f6\u3001\u7ebf\u6027\u76f8\u4f4d&#xff09;&#xff0c;\u518d\u6c42\u53c2\u6570&#xff0c;\u66f4\u8d34\u5408\u5de5\u7a0b\u9700\u6c42\u3002<\/p>\n<p>\u8001\u674e&#xff1a;\u975e\u5e38\u5230\u4f4d\u3002\u8fd9\u91cc\u8fd8\u8981\u533a\u5206\u4e00\u4e2a\u8ba4\u77e5&#xff1a;<\/p>\n<p>\u7a97\u51fd\u6570\u6cd5\u662f\u901a\u7528 FIR \u8bbe\u8ba1\u624b\u6bb5&#xff0c;\u4f46\u62bd\u5934\u6570\u76ee\u5f88\u5c11\u7684\u65f6\u5019&#xff0c;\u4f60\u4e0d\u80fd\u5b8c\u5168\u4f9d\u8d56\u5b83\u3002\u56e0\u4e3a\u77ed\u62bd\u5934\u4e0b&#xff0c;\u7406\u60f3\u5e26\u901a\u7684\u7ea6\u675f\u548c\u5de5\u7a0b\u7ea6\u675f&#xff08;\u76f4\u6d41\u7f6e\u96f6&#xff09;\u4f1a\u4e92\u76f8\u51b2\u7a81&#xff0c;\u6b64\u65f6\u8981\u628a\u5de5\u7a0b\u7ea6\u675f\u5199\u8fdb\u65b9\u7a0b\u505a\u7ea6\u675f\u4f18\u5316 \/ \u89e3\u6790\u6c42\u89e3\u3002<\/p>\n<p>\u53e6\u5916\u518d\u56de\u5230 FIR \u4e0e IIR \u7684\u672c\u8d28\u5dee\u5f02&#xff0c;\u547c\u5e94\u524d\u9762\u6211\u4eec\u5b66\u7684\u96f6\u6781\u70b9\u77e5\u8bc6&#xff1a; \u5c0f\u660e&#xff0c;FIR \u4f20\u9012\u51fd\u6570\u5168\u90e8\u662fz\u7684\u8d1f\u5e42\u6b21&#xff0c;\u53ea\u6709\u96f6\u70b9&#xff0c;\u6ca1\u6709\u6781\u70b9\u3002<\/p>\n<p><img decoding=\"async\" alt=\"(H(z)=h_0+h_1 z^{-1}+h_2 z^{-2}+h_1 z^{-3}+h_0 z^{-4} =z^{-4}\\\\big(h_0 z^4+h_1 z^3+h_2 z^2+h_1 z+h_0\\\\big))\" class=\"mathcode\" src=\"2026-09-305o2smbclq4q.png\" \/><\/p>\n<p>\u5168\u90e8\u6781\u70b9\u90fd\u56fa\u5b9a\u5728(z&#061;0)&#xff0c;\u6c38\u8fdc\u5728\u5355\u4f4d\u5706\u5185\u90e8&#xff0c;\u6240\u4ee5 FIR \u5929\u7136\u7a33\u5b9a\u3002 \u800c IIR \u5e26\u901a\u662f\u5f15\u5165\u5355\u4f4d\u5706\u5185\u90e8\u5171\u8f6d\u6781\u70b9&#xff0c;\u9760\u6781\u70b9\u62ac\u5347\u901a\u5e26\u589e\u76ca&#xff0c;\u96f6\u70b9\u538b\u5236\u76f4\u6d41\u4f4e\u9891\u4e0e\u5948\u594e\u65af\u7279\u9ad8\u9891<img decoding=\"async\" alt=\"T_p=2\\\\mathrm{px}\" class=\"mathcode\" src=\"2026-09-30yvbc1ngbt5z.png\" \/>\u90a3\u4e00\u7aef&#xff09;&#xff0c;\u7528\u6781\u5c11\u9636\u6570\u5b9e\u73b0\u5c16\u9510\u5e26\u901a&#xff0c;\u4ee3\u4ef7\u662f\u975e\u7ebf\u6027\u76f8\u4f4d&#xff0c;\u6709\u7a33\u5b9a\u6027\u98ce\u9669\u3002<\/p>\n<p>\u5c0f\u660e&#xff1a;\u8001\u5e08&#xff0c;\u6211\u8fd8\u6709\u4e2a\u7591\u95ee&#xff1a;\u90a3\u5982\u679c\u6211\u4e0d\u505a\u5bf9\u79f0&#xff0c;5 \u4e2a\u62bd\u5934\u5168\u90e8\u81ea\u7531&#xff0c;\u662f\u4e0d\u662f\u5c31\u53ef\u4ee5\u66f4\u52a0\u903c\u8fd1\u7406\u60f3\u4e2d\u9891\u5e26\u901a&#xff1f;<\/p>\n<p>\u8001\u674e&#xff1a;\u6570\u5b66\u4e0a\u5e45\u9891\u53ef\u4ee5\u505a\u5f97\u66f4\u597d\u3002\u4f46\u4ee3\u4ef7\u662f\u975e\u7ebf\u6027\u76f8\u4f4d\u3002 \u4e0d\u540c\u7a7a\u95f4\u9891\u7387\u5206\u91cf\u7684\u4fe1\u53f7\u7ecf\u8fc7\u6ee4\u6ce2\u5668&#xff0c;\u5ef6\u8fdf\u50cf\u7d20\u6570\u4e0d\u4e00\u81f4&#xff1b;\u56fe\u50cf\u8fb9\u7f18\u662f\u591a\u9891\u7387\u53e0\u52a0\u4fe1\u53f7&#xff0c;\u8f93\u51fa\u6ce2\u5f62\u4f1a\u53d1\u751f\u7578\u53d8&#xff0c;FV \u80fd\u91cf\u5cf0\u503c\u4f4d\u7f6e\u4f1a\u504f\u79fb\u3001\u6f02\u79fb\u3002\u5bf9 AF 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