{"id":16699,"date":"2026-09-21T02:44:01","date_gmt":"2026-09-21T02:44:01","guid":{"rendered":"https:\/\/sistc.com\/?p=16699"},"modified":"2026-09-21T02:44:04","modified_gmt":"2026-09-21T02:44:04","slug":"nmf-for-audio-noise-reduction","status":"publish","type":"post","link":"https:\/\/sistc.com\/zh\/nmf-for-audio-noise-reduction\/","title":{"rendered":"NMF\u5728\u97f3\u9891\u964d\u566a\u4e2d\u7684\u5e94\u7528\uff1a\u975e\u8d1f\u77e9\u9635\u5206\u89e3\u7684\u5de5\u4f5c\u539f\u7406"},"content":{"rendered":"<p class=\"wp-block-paragraph\">\u964d\u566a\u5e76\u4e0d\u603b\u662f\u7b80\u5355\u5730\u4ece\u97f3\u9891\u4fe1\u53f7\u4e2d\u51cf\u53bb\u566a\u58f0\u9891\u8c31\u8fd9\u4e48\u7b80\u5355\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u8bb8\u591a\u5b9e\u9645\u73af\u5883\u4e2d\uff0c\u9ea6\u514b\u98ce\u62fe\u53d6\u7684\u58f0\u97f3\u5305\u542b\u8bed\u97f3\u3001\u80cc\u666f\u566a\u58f0\u3001\u97f3\u4e50\u3001\u673a\u68b0\u58f0\u3001\u901a\u98ce\u58f0\u3001\u952e\u76d8\u58f0\u4ee5\u53ca\u5176\u4ed6\u58f0\u6e90\u7684\u6df7\u5408\u3002\u5f53\u8fd9\u4e9b\u6210\u5206\u5728\u65f6\u57df\u548c\u9891\u57df\u4e2d\u53d1\u751f\u91cd\u53e0\u65f6\uff0c\u4f20\u7edf\u7684\u6ee4\u6ce2\u65b9\u6cd5\u53ef\u80fd\u4f1a\u53d8\u5f97\u4e0d\u592a\u6709\u6548\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u975e\u8d1f\u77e9\u9635\u5206\u89e3\uff08NMF\uff09<\/strong> \u63d0\u4f9b\u4e86\u4e00\u79cd\u53e6\u4e00\u79cd\u65b9\u6cd5\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">NMF \u5e76\u975e\u5c06\u97f3\u9891\u9891\u8c31\u89c6\u4e3a\u4e00\u4e2a\u9700\u8981\u8fdb\u884c\u6ee4\u6ce2\u7684\u4fe1\u53f7\uff0c\u800c\u662f\u8bd5\u56fe <strong>\u5c06\u89c2\u6d4b\u5230\u7684\u9891\u8c31\u56fe\u5206\u89e3\u4e3a\u5c11\u6570\u51e0\u4e2a\u6709\u610f\u4e49\u7684\u9891\u8c31\u5206\u91cf<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4f7f\u5f97NMF\u5728\u4ee5\u4e0b\u65b9\u9762\u5f88\u6709\u7528\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8bed\u97f3\u589e\u5f3a<\/li>\n\n\n\n<li>\u97f3\u9891\u6e90\u5206\u79bb<\/li>\n\n\n\n<li>\u80cc\u666f\u566a\u58f0\u6291\u5236<\/li>\n\n\n\n<li>\u97f3\u4e50\u5206\u79bb<\/li>\n\n\n\n<li>\u58f0\u5b66\u4e8b\u4ef6\u5206\u6790<\/li>\n\n\n\n<li>\u73af\u5883\u566a\u58f0\u5206\u7c7b<\/li>\n\n\n\n<li>AI\u7cfb\u7edf\u7684\u97f3\u9891\u9884\u5904\u7406<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u672c\u6587\u89e3\u91ca\u4e86NMF\u7684\u5de5\u4f5c\u539f\u7406\uff0c\u4ee5\u53ca\u5b83\u4e3a\u4f55\u5bf9\u2026\u2026\u6709\u7528 <a href=\"https:\/\/sistc.com\/zh\/audio-noise-reduction-guide\/\">\u97f3\u9891\u964d\u566a<\/a>, \uff0c\u4e0e\u2026\u2026\u76f8\u6bd4\u5982\u4f55 <a href=\"https:\/\/sistc.com\/zh\/spectral-subtraction-audio-noise-reduction\/\">\u5149\u8c31\u51cf\u6cd5<\/a> \u4e0e <a href=\"https:\/\/sistc.com\/zh\/wiener-filtering-audio-noise-reduction\/\">\u7ef4\u7eb3\u6ee4\u6ce2<\/a>, \uff0c\u4ee5\u53ca\u5de5\u7a0b\u5e08\u5728\u5b9e\u65f6\u97f3\u9891\u7cfb\u7edf\u4e2d\u5b9e\u73b0NMF\u65f6\u5e94\u8003\u8651\u7684\u56e0\u7d20\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">1. \u97f3\u9891\u5904\u7406\u4e2d\u7684NMF\u662f\u4ec0\u4e48\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u975e\u8d1f\u77e9\u9635\u5206\u89e3\uff08NMF\uff09<\/strong> \u662f\u4e00\u79cd\u5c06\u975e\u8d1f\u77e9\u9635\u5206\u89e3\u4e3a\u4e24\u4e2a\u6216\u591a\u4e2a\u8f83\u5c0f\u7684\u975e\u8d1f\u77e9\u9635\u7684\u6570\u5b66\u6280\u672f\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u97f3\u9891\u5904\u7406\u4e2d\uff0c\u8f93\u5165\u77e9\u9635\u901a\u5e38\u7531\u97f3\u9891\u9891\u8c31\u56fe\u63a8\u5bfc\u800c\u6765\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u4e2a\u7b80\u5316\u7684NMF\u6a21\u578b\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>V \u2248 WH<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>V<\/code> = \u89c2\u6d4b\u5230\u7684\u975e\u8d1f\u8c31\u56fe<\/li>\n\n\n\n<li><code>W<\/code> = \u8c31\u57fa\u77e9\u9635<\/li>\n\n\n\n<li><code>H<\/code> = \u6fc0\u6d3b\u77e9\u9635<\/li>\n\n\n\n<li><code>WH<\/code> = \u91cd\u5efa\u7684\u9891\u8c31\u56fe<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u7528\u4e8e\u97f3\u9891\u964d\u566a\u7684NMF\u6280\u672f\u5728\u5404\u79cd\u5e94\u7528\u4e2d\u6b63\u53d8\u5f97\u8d8a\u6765\u8d8a\u6d41\u884c\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u4e2a\u91cd\u8981\u7684\u9650\u5236\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>W \u2265 0\nH \u2265 0<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0e\u53ef\u80fd\u5305\u542b\u6b63\u503c\u548c\u8d1f\u503c\u7684\u4f20\u7edf\u77e9\u9635\u5206\u89e3\u65b9\u6cd5\u4e0d\u540c\uff0cNMF \u4ec5\u4f7f\u7528\u975e\u8d1f\u503c\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5bf9\u97f3\u9891\u5206\u6790\u7279\u522b\u6709\u7528\uff0c\u56e0\u4e3a\u5e45\u5ea6\u8c31\u548c\u529f\u7387\u8c31\u7684\u6570\u503c\u672c\u8eab\u5c31\u662f\u975e\u8d1f\u7684\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ece\u6982\u5ff5\u4e0a\u8bb2\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u97f3\u9891\u4fe1\u53f7\n \u2193\nSTFT\n \u2193\n\u5e45\u5ea6\/\u529f\u7387\u8c31\u56fe\n \u2193\nNMF\n \u2199   \u2198\n\u9891\u57df   \u65f6\u57df\n\u57fa\u77e2\u91cf\u6fc0\u6d3b\n \u2198   \u2199\n\u91cd\u5efa\u6210\u5206\n \u2193\n\u8bed\u97f3 \/ \u566a\u58f0 \/ \u5176\u4ed6\u6765\u6e90<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u76ee\u6807\u662f\u627e\u5230\u539f\u59cb\u8c31\u56fe\u7684\u4e00\u79cd\u7d27\u51d1\u8868\u793a\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">2. \u4e3a\u4ec0\u4e48 NMF \u9002\u7528\u4e8e\u97f3\u9891\u964d\u566a\uff0c\u4ee5\u53ca NMF \u5728\u97f3\u9891\u964d\u566a\u4e2d\u7684\u5e94\u7528<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u8bbe\u60f3\u4e00\u4e2a\u5728\u529e\u516c\u5ba4\u91cc\u5f55\u97f3\u7684\u9ea6\u514b\u98ce\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9ea6\u514b\u98ce\u53ef\u80fd\u4f1a\u62fe\u53d6\u4ee5\u4e0b\u58f0\u97f3\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4eba\u7c7b\u8bed\u8a00<\/li>\n\n\n\n<li>\u7a7a\u8c03\u566a\u97f3<\/li>\n\n\n\n<li>\u7535\u8111\u98ce\u6247<\/li>\n\n\n\n<li>\u952e\u76d8\u70b9\u51fb\u58f0<\/li>\n\n\n\n<li>\u80cc\u666f\u5bf9\u8bdd<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e9b\u4fe1\u53f7\u5728\u65f6\u95f4\u548c\u9891\u7387\u4e0a\u90fd\u5b58\u5728\u91cd\u53e0\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u4e2a\u7b80\u5355\u7684\u9891\u7387\u6ee4\u6ce2\u5668\u53ef\u80fd\u4e0d\u591f\u7528\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff0c\u8bed\u97f3\u80fd\u91cf\u53ef\u80fd\u5360\u636e\u4e0e\u673a\u68b0\u566a\u58f0\u5927\u81f4\u76f8\u540c\u7684\u9891\u7387\u8303\u56f4\u3002\u5982\u679c\u5c06\u6574\u4e2a\u9891\u7387\u5e26\u5bbd\u53bb\u9664\uff0c\u4e5f\u4f1a\u540c\u65f6\u53bb\u9664\u90e8\u5206\u8bed\u97f3\u4fe1\u53f7\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">NMF \u91c7\u7528\u4e86\u4e00\u79cd\u4e0d\u540c\u7684\u89e3\u51b3\u65b9\u6cd5\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0e\u5176\u95ee\uff1a<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\u5e94\u8be5\u53bb\u9664\u54ea\u4e9b\u9891\u7387\uff1f<\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">NMF \u63d0\u95ee\uff1a<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\u89c2\u6d4b\u5230\u7684\u9891\u8c31\u56fe\u80fd\u5426\u8868\u793a\u4e3a\u51e0\u79cd\u6f5c\u5728\u9891\u8c31\u6a21\u5f0f\u7684\u7ec4\u5408\uff1f<\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u89c2\u5bdf\u5230\u7684\u97f3\u9891\n =\n\u8bed\u97f3\u6a21\u5f0f\n+\n\u98ce\u6247\u6a21\u5f0f\n+\n\u952e\u76d8\u6a21\u5f0f\n+\n\u80cc\u666f\u6a21\u5f0f<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u7cfb\u7edf\u80fd\u591f\u5b66\u4e60\u6216\u4f30\u8ba1\u8fd9\u4e9b\u5206\u91cf\u7684\u7279\u5f81\u9891\u8c31\u6a21\u5f0f\uff0c\u5b83\u5c31\u80fd\u5728\u6291\u5236\u4e0d\u9700\u8981\u7684\u5206\u91cf\u7684\u540c\u65f6\uff0c\u91cd\u5efa\u6240\u9700\u7684\u4fe1\u53f7\u6e90\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4f7f\u5f97NMF\u5728\u4ee5\u4e0b\u65b9\u9762\u5c24\u4e3a\u5f15\u4eba\u5173\u6ce8\uff1a <strong>\u6e90\u5206\u79bb\u4e0e\u7ed3\u6784\u5316\u964d\u566a<\/strong>.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">3. \u4ece\u97f3\u9891\u4fe1\u53f7\u5230\u9891\u8c31\u56fe<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u901a\u5e38\u5728\u5c06\u97f3\u9891\u4fe1\u53f7\u8f6c\u6362\u4e3a\u65f6\u9891\u8868\u793a\u540e\uff0c\u624d\u4f1a\u5e94\u7528NMF\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u4e2a\u5e38\u89c1\u7684\u5904\u7406\u6d41\u7a0b\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>x(t)\n \u2193\n\u7a97\u53e3\u5316\n \u2193\n\u77ed\u65f6\u5085\u91cc\u53f6\u53d8\u6362\uff08STFT\uff09\n \u2193\n\u5e45\u5ea6\u8c31\u56fe\n \u2193\n\u975e\u8d1f\u77e9\u9635\u5206\u89e3\uff08NMF\uff09\n \u2193\n\u6e90\u4f30\u8ba1\n \u2193\n\u9006\u77ed\u65f6\u5085\u91cc\u53f6\u53d8\u6362\uff08ISTFT\uff09\n \u2193\n\u53bb\u566a\u97f3\u9891<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u77ed\u65f6\u5085\u91cc\u53f6\u53d8\u6362\u5c06\u4fe1\u53f7\u5212\u5206\u4e3a\u591a\u4e2a\u77ed\u7684\u3001\u76f8\u4e92\u91cd\u53e0\u7684\u5e27\uff0c\u5e76\u5c06\u6bcf\u5e27\u8f6c\u6362\u4e3a\u9891\u57df\u4fe1\u606f\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u5f97\u7684\u9891\u8c31\u56fe\u53ef\u8868\u793a\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>V \u2208 R^(F \u00d7 T)<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>F<\/code> = \u9891\u6bb5\u6570<\/li>\n\n\n\n<li><code>T<\/code> = \u65f6\u95f4\u6bb5\u7684\u6570\u91cf<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u7684\u6bcf\u4e2a\u5143\u7d20 <code>V<\/code> \u5728\u4f7f\u7528\u6a21\u503c\u6216\u529f\u7387\u8c31\u65f6\uff0c\u8be5\u503c\u662f\u975e\u8d1f\u7684\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4f7f\u5f97\u9891\u8c31\u56fe\u9002\u7528\u4e8eNMF\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6709\u5173 STFT \u53ca\u5176\u5728\u97f3\u9891\u5904\u7406\u4e2d\u7684\u4f5c\u7528\u7684\u66f4\u591a\u4fe1\u606f\uff0c\u8bf7\u53c2\u9605\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u97f3\u9891\u4fe1\u53f7\u5904\u7406\u4e2d\u7684FFT\u4e0eSTFT\uff1a\u5b9e\u7528\u5de5\u7a0b\u6307\u5357<\/strong><\/p>\n\n\n\n<h1 class=\"wp-block-heading\">4. \u57fa\u672c NMF \u6a21\u578b<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">NMF\u7684\u57fa\u672c\u65b9\u7a0b\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>V \u2248 WH<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5047\u8bbe\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>V = F \u00d7 T<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7136\u540e\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>W = F \u00d7 K\nH = K \u00d7 T<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d <code>K<\/code> \u662f\u5206\u91cf\u6216\u57fa\u5411\u91cf\u7684\u4e2a\u6570\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>V\n\u9891\u7387 \u00d7 \u65f6\u95f4\n\n \u2193\n\nW\n\u9891\u7387 \u00d7 \u5206\u91cf\n\n \u00d7\n\nH\n\u5206\u91cf \u00d7 \u65f6\u95f4<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7684\u6bcf\u4e00\u5217 <code>W<\/code> \u8868\u793a\u4e00\u79cd\u5149\u8c31\u6a21\u5f0f\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bcf\u4e00\u884c <code>H<\/code> \u63cf\u8ff0\u4e86\u8be5\u6a21\u5f0f\u968f\u65f6\u95f4\u63a8\u79fb\u88ab\u6fc0\u6d3b\u7684\u5f3a\u5ea6\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u91cd\u5efa\u540e\u7684\u9891\u8c31\u56fe\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>V\u0302 = WH<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d <code>V\u0302<\/code> \u8fd9\u662f\u539f\u59cb\u8c31\u56fe\u7684\u8fd1\u4f3c\u7ed3\u679c\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">5. \u7406\u89e3 W \u77e9\u9635\u548c H \u77e9\u9635<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u7406\u89e3NMF\u6700\u7b80\u5355\u7684\u65b9\u6cd5\u662f\u601d\u8003 <code>W<\/code> \u4e0e <code>H<\/code> \u4f5c\u4e3a\u4e24\u79cd\u4e0d\u540c\u7c7b\u578b\u7684\u4fe1\u606f\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">W\uff1a\u8c31\u57fa<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><code>W<\/code> \u63cf\u8ff0 <strong>\u67d0\u4e2a\u5143\u4ef6\u5728\u9891\u57df\u4e2d\u7684\u58f0\u97f3\u8868\u73b0\u5982\u4f55<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>W\u2081 \u2192 \u7c7b\u4f3c\u8bed\u97f3\u7684\u9891\u8c31\nW\u2082 \u2192 \u98ce\u6247\u566a\u58f0\u9891\u8c31\nW\u2083 \u2192 \u952e\u76d8\u566a\u58f0\u9891\u8c31\nW\u2084 \u2192 \u80cc\u666f\u97f3\u4e50\u9891\u8c31<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">H\uff1a\u65f6\u95f4\u6fc0\u6d3b<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><code>H<\/code> \u63cf\u8ff0 <strong>\u5f53\u6bcf\u4e2a\u7ec4\u4ef6\u5904\u4e8e\u6d3b\u52a8\u72b6\u6001\u65f6<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>H\u2081 \u2192 0.5\u20132.0 \u79d2\u5185\u68c0\u6d4b\u5230\u8bed\u97f3\u6d3b\u52a8\nH\u2082 \u2192 \u98ce\u6247\u6301\u7eed\u8fd0\u8f6c\nH\u2083 \u2192 \u7ea6 3.5 \u79d2\u65f6\u68c0\u6d4b\u5230\u952e\u76d8\u6d3b\u52a8<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>W = \u4ec0\u4e48\nH = \u4ec0\u4e48\u65f6\u5019<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u662f\u4e00\u79cd\u76f4\u89c2\u5730\u7406\u89e3\u8be5\u5206\u89e3\u7684\u65b9\u6cd5\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">6. NMF \u5982\u4f55\u5b9e\u73b0\u964d\u566a<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u91cd\u8981\u7684\u6b65\u9aa4\u662f\u5728\u56e0\u5f0f\u5206\u89e3\u540e\u5c06\u5404\u9879\u5206\u79bb\u51fa\u6765\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5047\u8bbe\u89c2\u6d4b\u5230\u7684\u9891\u8c31\u56fe\u5305\u542b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>V \u2248 W_s H_s + W_n H_n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>W_s H_s<\/code> \u4ee3\u8868\u671f\u671b\u7684\u53d1\u8a00\u5185\u5bb9<\/li>\n\n\n\n<li><code>W_n H_n<\/code> \u8868\u793a\u566a\u58f0<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u76ee\u6807\u53d8\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8bed\u97f3 \u2248 W_s H_s<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u540c\u65f6\u51cf\u5c11\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u566a\u58f0 \u2248 W_n H_n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u968f\u540e\uff0c\u53ef\u4ee5\u5229\u7528\u9006STFT\u5bf9\u53bb\u566a\u540e\u7684\u9891\u8c31\u56fe\u8fdb\u884c\u91cd\u5efa\uff0c\u5e76\u5c06\u5176\u8f6c\u6362\u56de\u65f6\u57df\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6574\u4e2a\u6d41\u7a0b\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u542b\u566a\u58f0\u97f3\u9891\n    \u2193\nSTFT\n    \u2193\n\u9891\u8c31\u56fe V\n    \u2193\nNMF\n    \u2193\nW + H\n    \u2193\n\u8bc6\u522b\u8bed\u97f3\/\u566a\u58f0\u6210\u5206\n    \u2193\n\u6784\u5efa\u8bed\u97f3\u9891\u8c31\u56fe\n    \u2193\n\u9006STFT\n    \u2193\n\u589e\u5f3a\u97f3\u9891<\/code><\/pre>\n\n\n\n<h1 class=\"wp-block-heading\">7. \u6709\u76d1\u7763\u4e0e\u65e0\u76d1\u7763\u7684NMF<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">NMF \u53ef\u7528\u4e8e\u97f3\u9891\u5206\u79bb\u7684\u4e24\u79cd\u4e3b\u8981\u65b9\u6cd5\u5982\u4e0b\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">7.1 \u65e0\u76d1\u7763NMF<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u65e0\u76d1\u7763NMF\u4e2d\uff0c\u7b97\u6cd5\u63a5\u6536\u8f93\u5165\u7684\u9891\u8c31\u56fe\uff0c\u5e76\u5c1d\u8bd5\u81ea\u52a8\u53d1\u73b0\u6709\u7528\u7684\u6210\u5206\u3002.<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6709\u6742\u97f3\u7684\u97f3\u9891\n    \u2193\nNMF\n    \u2193\n\u81ea\u52a8\u53d1\u73b0\u7684\u7ec4\u4ef6<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4f18\u52bf\u5728\u4e8e\u7075\u6d3b\u6027\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8be5\u7cfb\u7edf\u5e76\u4e0d\u4e00\u5b9a\u9700\u8981\u9884\u5148\u6784\u5efa\u7684\u566a\u58f0\u6570\u636e\u5e93\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7136\u800c\uff0c\u8be5\u7b97\u6cd5\u4ecd\u7136\u9700\u8981\u4e00\u79cd\u65b9\u6cd5\u6765\u5224\u65ad\u54ea\u4e9b\u6210\u5206\u4ee3\u8868\u8bed\u97f3\uff0c\u54ea\u4e9b\u4ee3\u8868\u566a\u58f0\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u590d\u6742\u7684\u73af\u5883\u4e2d\uff0c\u8fd9\u4e00\u5206\u7c7b\u6b65\u9aa4\u53ef\u80fd\u4f1a\u6bd4\u8f83\u56f0\u96be\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">7.2 \u76d1\u7763\u5f0fNMF<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u76d1\u7763\u5f0fNMF\u4e2d\uff0c\u7cfb\u7edf\u53ef\u4ee5\u4f7f\u7528\u5148\u524d\u5b66\u5230\u7684\u8c31\u8bcd\u5178\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8bed\u97f3\u8bcd\u5178\n+\n\u566a\u58f0\u8bcd\u5178\n \u2193\nNMF\u5206\u79bb\n \u2193\n\u8bed\u97f3 + \u566a\u58f0<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8bed\u97f3\u8bcd\u5178\u53ef\u80fd\u5305\u542b\u4ece\u8bed\u97f3\u5f55\u97f3\u4e2d\u5b66\u4e60\u5230\u7684\u9891\u8c31\u6a21\u5f0f\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u566a\u58f0\u8bcd\u5178\u53ef\u80fd\u5305\u542b\u4ece\u4ee5\u4e0b\u6765\u6e90\u5b66\u4e60\u5230\u7684\u6a21\u5f0f\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7c89\u4e1d<\/li>\n\n\n\n<li>\u7a7a\u8c03<\/li>\n\n\n\n<li>\u53d1\u52a8\u673a<\/li>\n\n\n\n<li>\u8def\u566a<\/li>\n\n\n\n<li>\u673a\u68b0<\/li>\n\n\n\n<li>\u952e\u76d8<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f53\u8fd0\u884c\u73af\u5883\u5df2\u77e5\u65f6\uff0c\u8fd9\u53ef\u4ee5\u4f7f\u5206\u79bb\u8fc7\u7a0b\u66f4\u5177\u53ef\u9884\u6d4b\u6027\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4ee3\u4ef7\u662f\uff0c\u7cfb\u7edf\u5bf9\u8bad\u7ec3\u6570\u636e\u7684\u8d28\u91cf\u548c\u8986\u76d6\u8303\u56f4\u7684\u4f9d\u8d56\u7a0b\u5ea6\u4f1a\u589e\u52a0\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">8. NMF \u4e0e\u5149\u8c31\u51cf\u6cd5\uff1a\u6709\u4ec0\u4e48\u533a\u522b\uff1f<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">NMF \u548c\u8c31\u51cf\u6cd5\u867d\u7136\u90fd\u5728\u9891\u57df\u4e2d\u8fdb\u884c\uff0c\u4f46\u5b83\u4eec\u7684\u57fa\u672c\u5047\u8bbe\u5374\u4e0d\u540c\u3002.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u65b9\u6cd5<\/th><th>\u4e3b\u8981\u6982\u5ff5<\/th><th>\u5178\u578b\u5f3a\u5ea6<\/th><\/tr><\/thead><tbody><tr><td>\u5149\u8c31\u51cf\u6cd5<\/td><td>\u4f30\u8ba1\u5e76\u51cf\u53bb\u566a\u58f0\u8c31<\/td><td>\u7b80\u5355\u5b9e\u65bd<\/td><\/tr><tr><td>\u7ef4\u7eb3\u6ee4\u6ce2<\/td><td>\u4f30\u8ba1\u4fe1\u566a\u6bd4<\/td><td>\u5e73\u6ed1\u964d\u566a<\/td><\/tr><tr><td>\u81ea\u9002\u5e94\u6ee4\u6ce2<\/td><td>\u6839\u636e\u53c2\u8003\u4fe1\u53f7\u5b66\u4e60\u4e00\u4e2a\u6ee4\u6ce2\u5668<\/td><td>\u76f8\u5173\u566a\u58f0<\/td><\/tr><tr><td>NMF<\/td><td>\u5c06\u9891\u8c31\u56fe\u5206\u89e3\u4e3a\u5404\u5206\u91cf<\/td><td>\u7ed3\u6784\u5316\u6e90\u5934\u5206\u7c7b<\/td><\/tr><tr><td>AI\u589e\u5f3a<\/td><td>\u5b66\u4e60\u975e\u7ebf\u6027\u6620\u5c04<\/td><td>\u590d\u6742\u73af\u5883<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u8c31\u51cf\u6cd5\u901a\u5e38\u5047\u8bbe\u53ef\u4ee5\u4f30\u8ba1\u566a\u58f0\u8c31\u5e76\u5c06\u5176\u51cf\u53bb\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">NMF \u5219\u8bd5\u56fe\u5c06\u89c2\u6d4b\u5230\u7684\u9891\u8c31\u56fe\u8868\u793a\u4e3a\u591a\u4e2a\u975e\u8d1f\u6210\u5206\u7684\u7ec4\u5408\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f53\u566a\u58f0\u5177\u6709\u53ef\u8bc6\u522b\u7684\u9891\u8c31\u7ed3\u6784\u65f6\uff0c\u8fd9\u79cd\u5dee\u5f02\u5c31\u53d8\u5f97\u5f88\u91cd\u8981\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">9. NMF \u4e0e\u7ef4\u7eb3\u6ee4\u6ce2<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ef4\u7eb3\u6ee4\u6ce2\u7684\u57fa\u672c\u539f\u7406\u5728\u4e8e\u4f30\u8ba1\u76ee\u6807\u4fe1\u53f7\u4e0e\u566a\u58f0\u4e4b\u95f4\u7684\u5173\u7cfb\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b80\u5316\u7684\u7ef4\u7eb3\u589e\u76ca\u53ef\u8868\u793a\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>G(k) = S(k) \/ [S(k) + N(k)]<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>S(k)<\/code> = \u4f30\u8ba1\u4fe1\u53f7\u529f\u7387<\/li>\n\n\n\n<li><code>N(k)<\/code> = \u4f30\u8ba1\u566a\u58f0\u529f\u7387<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">NMF \u901a\u8fc7\u4f7f\u7528\u57fa\u8c31\u548c\u65f6\u95f4\u6fc0\u6d3b\u6765\u5bf9\u9891\u8c31\u56fe\u8fdb\u884c\u5efa\u6a21\uff0c\u4ece\u800c\u89e3\u51b3\u8be5\u95ee\u9898\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b9e\u9645\u4e0a\uff0c\u8fd9\u4e24\u79cd\u65b9\u6cd5\u5e76\u4e0d\u4e00\u5b9a\u975e\u8981\u76f8\u4e92\u7ade\u4e89\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u57fa\u4e8eNMF\u7684\u4f30\u8ba1\u7ed3\u679c\u53ef\u7528\u4e8e\u6784\u5efa\u65f6\u9891\u63a9\u6a21\uff0c\u968f\u540e\u53ef\u91c7\u7528\u7c7b\u4f3c\u7ef4\u7eb3\u6ee4\u6ce2\u7684\u65b9\u5f0f\u5c06\u5176\u5e94\u7528\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u662f\u7ecf\u5178DSP\u7b97\u6cd5\u5982\u4f55\u8fdb\u884c\u7ec4\u5408\u7684\u4e00\u4e2a\u793a\u4f8b\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">10. NMF \u548c\u65f6\u9891\u63a9\u7801<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u79cd\u5207\u5b9e\u53ef\u884c\u7684\u65b9\u6cd5\u662f\u6839\u636e\u4f30\u8ba1\u7684\u8bed\u97f3\u548c\u566a\u58f0\u5206\u91cf\u8ba1\u7b97\u51fa\u4e00\u4e2a\u8f6f\u63a9\u6a21\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5047\u8bbe\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>S(k,t) = \u4f30\u8ba1\u7684\u8bed\u97f3\u80fd\u91cf\nN(k,t) = \u4f30\u8ba1\u7684\u566a\u58f0\u80fd\u91cf<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u4e2a\u7b80\u5316\u7684\u8f6f\u63a9\u7801\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>M(k,t) = S(k,t) \/ [S(k,t) + N(k,t) + \u03b5]<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d <code>\u03b5<\/code> \u662f\u4e00\u4e2a\u8f83\u5c0f\u7684\u6570\u503c\uff0c\u7528\u4e8e\u907f\u514d\u9664\u4ee5\u96f6\u7684\u60c5\u51b5\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u589e\u5f3a\u7684\u8c31\u56fe\u53ef\u6309\u4ee5\u4e0b\u65b9\u5f0f\u8fdb\u884c\u4f30\u8ba1\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u015c(k,t) = M(k,t)V(k,t)<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0e\u7b80\u5355\u7684\u4e8c\u5143\u51b3\u7b56\u76f8\u6bd4\uff0c\u8fd9\u4f7f\u5f97\u8bed\u97f3\u4e3b\u5bfc\u533a\u57df\u4e0e\u566a\u58f0\u4e3b\u5bfc\u533a\u57df\u4e4b\u95f4\u7684\u8fc7\u6e21\u66f4\u52a0\u5e73\u6ed1\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">11. \u4e3a\u4ec0\u4e48\u975e\u8d1f\u6027\u5f88\u91cd\u8981<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u975e\u8d1f\u6027\u7ea6\u675f\u662fNMF\u7684\u5173\u952e\u7279\u5f81\u4e4b\u4e00\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u97f3\u9891\u5e45\u5ea6\u8c31\u672c\u8d28\u4e0a\u662f\u975e\u8d1f\u7684\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>|X(k,t)| \u2265 0<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff0c\u5c06\u5b83\u4eec\u5206\u89e3\u4e3a\u975e\u8d1f\u5206\u91cf\u5177\u6709\u76f4\u89c2\u7684\u7269\u7406\u610f\u4e49\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">NMF \u5e76\u4e0d\u901a\u8fc7\u6b63\u8d1f\u57fa\u503c\u4e4b\u95f4\u7684\u62b5\u6d88\u6765\u8868\u793a\u89c2\u6d4b\u4fe1\u53f7\uff0c\u800c\u662f\u5c06\u5176\u8868\u793a\u4e3a\u4e00\u79cd\u52a0\u6027\u7ec4\u5408\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u89c2\u6d4b\u5149\u8c31\n=\n\u6210\u5206 1\n+\n\u6210\u5206 2\n+\n\u6210\u5206 3\n+ ...<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u79cd\u57fa\u4e8e\u5206\u91cf\u7684\u8868\u793a\u65b9\u5f0f\uff0c\u662fNMF\u5728\u6e90\u5206\u79bb\u548c\u97f3\u9891\u5206\u6790\u9886\u57df\u53d7\u5230\u5e7f\u6cdb\u7814\u7a76\u7684\u539f\u56e0\u4e4b\u4e00\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">12. \u9009\u62e9NMF\u6210\u5206\u7684\u6570\u91cf<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u4e2a\u91cd\u8981\u7684\u5de5\u7a0b\u53c2\u6570\u662f\u5143\u4ef6\u6570\u91cf\uff0c\u901a\u5e38\u7528 <code>K<\/code>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>K = 4<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u610f\u5473\u7740\u8be5\u7cfb\u7edf\u8bd5\u56fe\u4f7f\u7528\u56db\u4e2a\u57fa\u51fd\u6570\u6765\u8868\u793a\u9891\u8c31\u56fe\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u4e2a\u975e\u5e38\u5c0f\u7684 <code>K<\/code> \u53ef\u80fd\u4f1a\u4ea7\u751f\u8fc7\u4e8e\u7b80\u5355\u7684\u8868\u793a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7ec4\u4ef6\u6570\u91cf\u8fc7\u5c11\n \u2193\n\u91cd\u8981\u4fe1\u53f7\u7279\u6027\u4e22\u5931<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u4e2a\u975e\u5e38\u5927\u7684 <code>K<\/code> \u867d\u7136\u53ef\u4ee5\u4f7f\u5206\u89e3\u66f4\u52a0\u8be6\u7ec6\uff0c\u4f46\u4e5f\u4f1a\u589e\u52a0\u8ba1\u7b97\u9700\u6c42\uff0c\u5e76\u4f7f\u5bf9\u5404\u5206\u91cf\u7684\u89e3\u91ca\u53d8\u5f97\u66f4\u52a0\u56f0\u96be\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>K \u2191\n\u8868\u793a\u7075\u6d3b\u6027 \u2191\n\u8ba1\u7b97\u91cf \u2191\n\u6a21\u578b\u590d\u6742\u5ea6 \u2191<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u5b58\u5728\u653e\u4e4b\u56db\u6d77\u7686\u51c6\u7684\u6700\u4f18\u503c\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5408\u9002\u7684\u6570\u503c\u53d6\u51b3\u4e8e\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4fe1\u53f7\u590d\u6742\u5ea6<\/li>\n\n\n\n<li>\u566a\u58f0\u7c7b\u578b<\/li>\n\n\n\n<li>\u5f55\u97f3\u73af\u5883<\/li>\n\n\n\n<li>\u91c7\u6837\u7387<\/li>\n\n\n\n<li>FFT\u5927\u5c0f<\/li>\n\n\n\n<li>\u53ef\u7528 CPU<\/li>\n\n\n\n<li>\u5ef6\u8fdf\u8981\u6c42<\/li>\n\n\n\n<li>\u76ee\u6807\u5e94\u7528\u7a0b\u5e8f<\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading\">13. \u5b9e\u65f6 NMF \u97f3\u9891\u5904\u7406<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">NMF \u5728\u79bb\u7ebf\u5904\u7406\u548c\u6e90\u5206\u79bb\u65b9\u9762\u9887\u5177\u5438\u5f15\u529b\uff0c\u4f46\u8981\u5b9e\u73b0\u5b9e\u65f6\u5904\u7406\u4ecd\u9700\u8fdb\u884c\u989d\u5916\u7684\u5de5\u7a0b\u8bbe\u8ba1\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u79cd\u5178\u578b\u7684\u5b9e\u65f6\u67b6\u6784\u53ef\u80fd\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9ea6\u514b\u98ce\n    \u2193\nADC \/<a href=\"https:\/\/sistc.com\/zh\/product-category\/mems-sensors\/mems-microphone\/digital-mems-mic\/\"> \u6570\u5b57\u9ea6\u514b\u98ce<\/a>\n    \u2193\n\u5e27\u7f13\u51b2\u533a\n    \u2193\n\u77ed\u65f6\u5085\u91cc\u53f6\u53d8\u6362\uff08STFT\uff09\n    \u2193\nNMF \u66f4\u65b0\n    \u2193\n\u5206\u91cf\u4f30\u8ba1\n    \u2193\n\u65f6\u9891\u63a9\u7801\n    \u2193\n\u9006\u77ed\u65f6\u5085\u91cc\u53f6\u53d8\u6362\uff08ISTFT\uff09\n    \u2193\n\u97f3\u9891\u8f93\u51fa<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e3b\u8981\u5236\u7ea6\u56e0\u7d20\u5305\u62ec\uff1a<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">CPU \u8d1f\u8f7d<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0e\u7b80\u5355\u7684\u8c31\u6ee4\u6ce2\u76f8\u6bd4\uff0c\u77e9\u9635\u56e0\u5b50\u5206\u89e3\u53ef\u80fd\u9700\u8981\u6d88\u8017\u66f4\u591a\u7684\u8ba1\u7b97\u8d44\u6e90\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u8bb0\u5fc6<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u7cfb\u7edf\u5fc5\u987b\u5b58\u50a8\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u57fa\u77e9\u9635<\/li>\n\n\n\n<li>\u6fc0\u6d3b\u77e9\u9635<\/li>\n\n\n\n<li>\u97f3\u9891\u7f13\u51b2\u533a<\/li>\n\n\n\n<li>FFT \u7f13\u51b2\u533a<\/li>\n\n\n\n<li>\u6a21\u578b\u53c2\u6570<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u5ef6\u8fdf<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u8f83\u5927\u7684\u5206\u6790\u7a97\u53e3\u867d\u7136\u53ef\u4ee5\u63d0\u9ad8\u9891\u7387\u5206\u8fa8\u7387\uff0c\u4f46\u4f1a\u589e\u52a0\u5ef6\u8fdf\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7a33\u5b9a\u6027<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u968f\u7740\u58f0\u5b66\u73af\u5883\u7684\u53d8\u5316\uff0c\u56e0\u5b50\u5206\u89e3\u8fc7\u7a0b\u5fc5\u987b\u4fdd\u6301\u7a33\u5b9a\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u8017\u7535\u91cf<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e00\u70b9\u5bf9\u4e8e\u4ee5\u4e0b\u60c5\u51b5\u5c24\u4e3a\u91cd\u8981\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4fbf\u643a\u5f0f\u8bbe\u5907<\/li>\n\n\n\n<li>\u7535\u6c60\u4f9b\u7535\u4ea7\u54c1<\/li>\n\n\n\n<li>\u667a\u80fd\u9ea6\u514b\u98ce<\/li>\n\n\n\n<li>\u52a9\u542c\u5668<\/li>\n\n\n\n<li>\u5d4c\u5165\u5f0f\u8fb9\u7f18AI\u7cfb\u7edf<\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading\">14. \u7528\u4e8eMEMS\u9ea6\u514b\u98ce\u7cfb\u7edf\u7684NMF<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">NMF \u662f\u4e00\u79cd\u7b97\u6cd5\u6280\u672f\uff0c\u4f46\u5176\u6027\u80fd\u4ecd\u5f88\u5927\u7a0b\u5ea6\u4e0a\u53d6\u51b3\u4e8e\u9ea6\u514b\u98ce\u4fe1\u53f7\u7684\u8d28\u91cf\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u9ea6\u514b\u98ce\u524d\u7aef\u5b58\u5728\u566a\u58f0\u6216\u5931\u771f\uff0c\u5c06\u9650\u5236\u4e0b\u6e38\u7b97\u6cd5\u80fd\u591f\u6062\u590d\u7684\u4fe1\u606f\u91cf\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8eMEMS\u9ea6\u514b\u98ce\u7cfb\u7edf\uff0c\u5b8c\u6574\u7684\u4fe1\u53f7\u94fe\u53ef\u80fd\u5305\u62ec\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u58f0\u5b66\u73af\u5883\n \u2193\nMEMS \u9ea6\u514b\u98ce\n \u2193\n\u6a21\u62df\/\u6570\u5b57\u524d\u7aef\n \u2193\n\u591a\u901a\u9053\u540c\u6b65\n \u2193\nSTFT\n \u2193\nNMF \/ DSP\n \u2193\nAI \u589e\u5f3a\n \u2193\n\u5e94\u7528<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u91cd\u8981\u7684\u786c\u4ef6\u53c2\u6570\u5305\u62ec\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4fe1\u566a\u6bd4<\/li>\n\n\n\n<li>\u7075\u654f\u5ea6<\/li>\n\n\n\n<li>\u9891\u7387\u54cd\u5e94<\/li>\n\n\n\n<li>\u58f0\u5b66\u8fc7\u8f7d\u70b9<\/li>\n\n\n\n<li>\u81ea\u566a\u58f0<\/li>\n\n\n\n<li>\u901a\u9053\u4e00\u81f4\u6027<\/li>\n\n\n\n<li>\u76f8\u4f4d\u4e00\u81f4\u6027<\/li>\n\n\n\n<li>\u529f\u8017<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u591a\u9ea6\u514b\u98ce\u7cfb\u7edf\u800c\u8a00\uff0c\u540c\u6b65\u548c\u901a\u9053\u5339\u914d\u663e\u5f97\u5c24\u4e3a\u91cd\u8981\uff0c\u56e0\u4e3a\u7a7a\u95f4\u4fe1\u606f\u53ef\u4ee5\u4e0e\u9891\u8c31\u4fe1\u606f\u7ed3\u5408\u4f7f\u7528\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">15. \u5e26\u9ea6\u514b\u98ce\u9635\u5217\u7684NMF<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">NMF \u4e0d\u5fc5\u5355\u72ec\u8fd0\u4f5c\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9ea6\u514b\u98ce\u9635\u5217\u63d0\u4f9b\u7a7a\u95f4\u4fe1\u606f\uff0c\u800cNMF\u5219\u63d0\u4f9b\u9891\u8c31\u5206\u89e3\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u591a\u9ea6\u514b\u98ce\n \u2193\n\u6ce2\u675f\u6210\u5f62\n \u2193\n\u7a7a\u95f4\u589e\u5f3a\u4fe1\u53f7\n \u2193\n\u975e\u8d1f\u77e9\u9635\u5206\u89e3\uff08NMF\uff09\n \u2193\n\u9891\u8c31\u5206\u91cf\u5206\u79bb\n \u2193\n\u8bed\u97f3\u589e\u5f3a<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6216\u8005\uff0c\u6839\u636e\u67b6\u6784\u7684\u4e0d\u540c\uff0c\u987a\u5e8f\u4e5f\u53ef\u4ee5\u98a0\u5012\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5f62\u6210\u4e86\u4e00\u4e2a\u66f4\u5e7f\u6cdb\u7684\u8bbe\u8ba1\u7406\u5ff5\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7a7a\u95f4\u5904\u7406 + \u5149\u8c31\u5904\u7406<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6ce2\u675f\u6210\u5f62\u53ef\u4ee5\u5229\u7528\u9ea6\u514b\u98ce\u4e4b\u95f4\u7684\u5dee\u5f02\uff0c\u800cNMF\u5219\u53ef\u4ee5\u5229\u7528\u9891\u8c31\u6a21\u5f0f\u4e0e\u65f6\u57df\u6a21\u5f0f\u4e4b\u95f4\u7684\u5dee\u5f02\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u79cd\u7ec4\u5408\u5728\u4ee5\u4e0b\u65b9\u9762\u5c24\u5176\u6709\u7528\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8fdc\u573a\u8bed\u97f3\u91c7\u96c6<\/li>\n\n\n\n<li>\u4f1a\u8bae\u5ba4<\/li>\n\n\n\n<li>\u667a\u80fd\u6559\u5ba4<\/li>\n\n\n\n<li>\u8bed\u97f3\u63a7\u5236\u8bbe\u5907<\/li>\n\n\n\n<li>\u73af\u5883\u97f3\u9891\u611f\u77e5<\/li>\n\n\n\n<li>\u591a\u58f0\u6e90\u58f0\u5b66\u5206\u6790<\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading\">16. \u975e\u5e73\u7a33\u566a\u58f0\u7684NMF<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f53\u566a\u58f0\u76f8\u5bf9\u7a33\u5b9a\u65f6\uff0c\u4f20\u7edf\u7684\u964d\u566a\u7b97\u6cd5\u901a\u5e38\u80fd\u8868\u73b0\u826f\u597d\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u65b9\u9762\u7684\u4f8b\u5b50\u5305\u62ec<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u901a\u98ce\u566a\u97f3<\/li>\n\n\n\n<li>\u98ce\u6247\u6301\u7eed\u53d1\u51fa\u566a\u97f3<\/li>\n\n\n\n<li>\u6301\u7eed\u7684\u673a\u5668\u566a\u97f3<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u7136\u800c\uff0c\u5b9e\u9645\u73af\u5883\u4e2d\u53ef\u80fd\u5b58\u5728\u4e0d\u65ad\u53d8\u5316\u7684\u566a\u58f0\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8bed\u97f3\n+\n\u98ce\u6247\n+\n\u952e\u76d8\n+\n\u5173\u95e8\u58f0\n+\n\u80cc\u666f\u5bf9\u8bdd<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">NMF \u80fd\u591f\u72ec\u7acb\u8868\u793a\u591a\u4e2a\u6210\u5206\uff0c\u8fd9\u4f7f\u5176\u5728\u4e0d\u9700\u8981\u7684\u58f0\u97f3\u7684\u9891\u8c31\u7279\u6027\u968f\u65f6\u95f4\u53d8\u5316\u7684\u73af\u5883\u4e2d\u975e\u5e38\u6709\u7528\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7136\u800c\uff0c\u8fd9\u5e76\u4e0d\u610f\u5473\u7740NMF\u80fd\u591f\u81ea\u52a8\u89e3\u51b3\u975e\u5e73\u7a33\u566a\u58f0\u95ee\u9898\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u566a\u58f0\u7684\u53d8\u5316\u901f\u5ea6\u8d85\u8fc7\u6a21\u578b\u7684\u9002\u5e94\u80fd\u529b\uff0c\u5206\u79bb\u8d28\u91cf\u53ef\u80fd\u4f1a\u4e0b\u964d\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u662f\u4e00\u4e2a\u91cd\u8981\u7684\u5de5\u7a0b\u9650\u5236\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">17. \u7528\u4e8e\u8bed\u97f3\u589e\u5f3a\u7684NMF<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u8bed\u97f3\u589e\u5f3a\u662fNMF\u7684\u4e00\u4e2a\u91cd\u8981\u5e94\u7528\u9886\u57df\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u4e2a\u7b80\u5316\u7684\u7cfb\u7edf\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u542b\u566a\u58f0\u8bed\u97f3\n \u2193\nSTFT\n \u2193\nNMF\n \u2193\n\u8bed\u97f3\/\u566a\u58f0\u6210\u5206\n \u2193\n\u8bed\u97f3\u63a9\u7801\n \u2193\n\u589e\u5f3a\u8c31\u56fe\n \u2193\nISTFT\n \u2193\n\u589e\u5f3a\u8bed\u97f3<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u76ee\u6807\u4e0d\u4ec5\u4ec5\u662f\u4f7f\u4fe1\u566a\u6bd4\uff08SNR\uff09\u6700\u5927\u5316\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7cfb\u7edf\u8fd8\u5fc5\u987b\u4fdd\u7559\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8bed\u8a00\u6e05\u6670\u5ea6<\/li>\n\n\n\n<li>\u8f85\u97f3<\/li>\n\n\n\n<li>\u77ac\u6001\u4fe1\u606f<\/li>\n\n\n\n<li>\u81ea\u7136\u7684\u58f0\u97f3\u7279\u5f81<\/li>\n\n\n\n<li>\u4f4e\u7ea7\u8bed\u97f3\u6210\u5206<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5373\u4f7f\u6d4b\u5f97\u7684\u566a\u58f0\u6c34\u5e73\u964d\u4f4e\u4e86\uff0c\u8fc7\u5ea6\u7684\u6291\u5236\u4ecd\u53ef\u80fd\u4ea7\u751f\u4f2a\u5f71\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6b63\u56e0\u5982\u6b64\uff0c\u542c\u529b\u6d4b\u8bd5\u548c\u8bed\u97f3\u53ef\u61c2\u5ea6\u6307\u6807\u4f9d\u7136\u81f3\u5173\u91cd\u8981\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">18. NMF\u4e2d\u5e38\u89c1\u7684\u4f2a\u5f71\u548c\u95ee\u9898<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">NMF \u5e76\u4e0d\u662f\u4e07\u80fd\u7684\u89e3\u51b3\u65b9\u6848\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ef\u80fd\u4f1a\u51fa\u73b0\u51e0\u79cd\u95ee\u9898\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">18.1 \u7ec4\u4ef6\u5206\u79bb\u6548\u679c\u4e0d\u4f73<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8bed\u97f3\u548c\u566a\u58f0\u53ef\u80fd\u5177\u6709\u76f8\u4f3c\u7684\u9891\u8c31\u6a21\u5f0f\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0cNMF \u53ef\u80fd\u65e0\u6cd5\u5c06\u5b83\u4eec\u660e\u786e\u533a\u5206\u5f00\u6765\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">18.2 \u7ec4\u4ef6\u5206\u914d\u9519\u8bef<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8be5\u7b97\u6cd5\u53ef\u80fd\u4f1a\u5c06\u4e00\u4e2a\u91cd\u8981\u7684\u8bed\u97f3\u6210\u5206\u8bef\u5224\u4e3a\u566a\u58f0\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ed3\u679c\u53ef\u4ee5\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u566a\u97f3 \u2193\n\u8bed\u97f3\u8d28\u91cf \u2193<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff0c\u964d\u566a\u7cfb\u7edf\u5fc5\u987b\u5728\u6291\u5236\u566a\u58f0\u4e0e\u4fdd\u6301\u8bed\u97f3\u6e05\u6670\u5ea6\u4e4b\u95f4\u53d6\u5f97\u5e73\u8861\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">18.3 \u97f3\u4e50\u6216\u9891\u8c31\u4f2a\u5f71<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f53\u4f30\u8ba1\u7684\u63a9\u819c\u53d8\u5316\u8fc7\u4e8e\u5267\u70c8\u65f6\uff0c\u65f6\u9891\u5904\u7406\u53ef\u80fd\u4f1a\u4ea7\u751f\u4e0d\u81ea\u7136\u7684\u4f2a\u5f71\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u6ee4\u6ce2\u5668\u8fdb\u884c\u65f6\u57df\u548c\u9891\u57df\u5e73\u6ed1\u5904\u7406\u53ef\u80fd\u4f1a\u6709\u6240\u5e2e\u52a9\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">18.4 \u8ba1\u7b97\u590d\u6742\u5ea6<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0e\u7b80\u5355\u7684\u8c31\u51cf\u6cd5\u76f8\u6bd4\uff0cNMF \u53ef\u80fd\u9700\u8981\u6d88\u8017\u66f4\u591a\u7684\u8ba1\u7b97\u8d44\u6e90\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u5d4c\u5165\u5f0f\u7cfb\u7edf\u800c\u8a00\uff0c\u8fd9\u53ef\u80fd\u662f\u4e00\u4e2a\u91cd\u8981\u7684\u8003\u8651\u56e0\u7d20\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">18.5 \u6a21\u578b\u4e0d\u5339\u914d<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u67d0\u4e2a\u73af\u5883\u4e2d\u8bad\u7ec3\u597d\u7684\u76d1\u7763\u5f0fNMF\u7cfb\u7edf\uff0c\u5728\u53e6\u4e00\u4e2a\u73af\u5883\u4e2d\u53ef\u80fd\u8868\u73b0\u4e0d\u4f73\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u57f9\u8bad\uff1a\n\u529e\u516c\u5ba4\u98ce\u6247 + \u6f14\u8bb2\n\n\u90e8\u7f72\uff1a\n\u5de5\u5382\u673a\u68b0 + \u6f14\u8bb2<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5df2\u8bad\u7ec3\u597d\u7684\u8bcd\u5178\u53ef\u80fd\u65e0\u6cd5\u5145\u5206\u53cd\u6620\u8fd9\u79cd\u65b0\u7684\u566a\u58f0\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">19. \u5982\u4f55\u6539\u8fdbNMF\u964d\u566a\u7b97\u6cd5<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u6709\u51e0\u79cd\u5de5\u7a0b\u6280\u672f\u53ef\u4ee5\u63d0\u9ad8\u6027\u80fd\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u66f4\u5b8c\u5584\u7684\u566a\u58f0\u8bcd\u5178<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u8bf7\u4f7f\u7528\u6765\u81ea\u5b9e\u9645\u8fd0\u884c\u73af\u5883\u7684\u5177\u6709\u4ee3\u8868\u6027\u7684\u5f55\u97f3\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u81ea\u9002\u5e94\u8bcd\u5178\u66f4\u65b0<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f53\u73af\u5883\u53d1\u751f\u53d8\u5316\u65f6\uff0c\u5141\u8bb8\u6a21\u578b\u66f4\u65b0\u5176\u8868\u5f81\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u65f6\u95f4\u6b63\u5219\u5316<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u9002\u5f53\u7684\u60c5\u51b5\u4e0b\uff0c\u9f13\u52b1\u91c7\u7528\u66f4\u6d41\u7545\u7684\u6fc0\u6d3b\u6a21\u5f0f\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">4. \u9891\u7387\u5e73\u6ed1<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u51cf\u5c11\u5b64\u7acb\u7684\u9891\u8c31\u6ce2\u52a8\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5. \u8f6f\u9762\u819c<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u907f\u514d\u8fc7\u4e8e\u6fc0\u8fdb\u7684\u4e8c\u5143\u5206\u79bb\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">6. \u5c06NMF\u4e0e\u7ef4\u7eb3\u6ee4\u6ce2\u76f8\u7ed3\u5408<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f7f\u7528 NMF \u4f30\u8ba1\u4fe1\u53f7\u548c\u566a\u58f0\u5206\u91cf\uff0c\u7136\u540e\u63a8\u5bfc\u51fa\u4e00\u4e2a\u66f4\u5e73\u6ed1\u7684\u589e\u76ca\u51fd\u6570\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">7. \u5c06NMF\u4e0e\u9ea6\u514b\u98ce\u9635\u5217\u76f8\u7ed3\u5408<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5229\u7528\u7a7a\u95f4\u4fe1\u606f\u6765\u63d0\u9ad8\u6e90\u8bc6\u522b\u7cbe\u5ea6\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">8. \u5c06NMF\u4e0e\u4eba\u5de5\u667a\u80fd\u76f8\u7ed3\u5408<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c06NMF\u7528\u4f5c\u795e\u7ecf\u589e\u5f3a\u6a21\u578b\u7684\u53ef\u89e3\u91ca\u524d\u7aef\u6216\u7279\u5f81\u8868\u793a\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">20. NMF + AI\uff1a\u4e00\u79cd\u6df7\u5408\u65b9\u6cd5<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u73b0\u4ee3\u97f3\u9891\u7cfb\u7edf\u8d8a\u6765\u8d8a\u591a\u5730\u5c06\u4f20\u7edf\u4fe1\u53f7\u5904\u7406\u4e0e\u673a\u5668\u5b66\u4e60\u76f8\u7ed3\u5408\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u79cd\u53ef\u80fd\u7684\u67b6\u6784\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>MEMS \u9ea6\u514b\u98ce\u9635\u5217\n \u2193\n\u591a\u901a\u9053 STFT\n \u2193\nNMF \u5206\u89e3\n \u2193\n\u9891\u8c31\u7279\u5f81\/\u63a9\u819c\n \u2193\n\u795e\u7ecf\u7f51\u7edc\n \u2193\n\u589e\u5f3a\u8bed\u97f3<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728AI\u6a21\u578b\u8fdb\u884c\u66f4\u590d\u6742\u7684\u589e\u5f3a\u5904\u7406\u4e4b\u524d\uff0cNMF\u53ef\u4ee5\u63d0\u4f9b\u97f3\u9891\u4fe1\u53f7\u7684\u7ed3\u6784\u5316\u8868\u793a\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u53e6\u4e00\u79cd\u67b6\u6784\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9ea6\u514b\u98ce\n    \u2193\nDSP\u9884\u5904\u7406\n    \u2193\nNMF\n    \u2193\nAI\u8bed\u97f3\u589e\u5f3a\n    \u2193\n\u540e\u5904\u7406<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u79cd\u6df7\u5408\u65b9\u6cd5\u7684\u4f18\u52bf\u5728\u4e8e\uff0c\u6bcf\u4e2a\u9636\u6bb5\u90fd\u53ef\u4ee5\u6267\u884c\u4e0d\u540c\u7684\u529f\u80fd\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ecf\u5178DSP\u53ef\u63d0\u4f9b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4f4e\u5ef6\u8fdf<\/li>\n\n\n\n<li>\u786e\u5b9a\u6027\u5904\u7406<\/li>\n\n\n\n<li>\u53ef\u89e3\u91ca\u53c2\u6570<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u4eba\u5de5\u667a\u80fd\u53ef\u4ee5\u63d0\u4f9b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u975e\u7ebf\u6027\u5efa\u6a21<\/li>\n\n\n\n<li>\u590d\u6742\u6a21\u5f0f\u8bc6\u522b<\/li>\n\n\n\n<li>\u5728\u590d\u6742\u58f0\u5b66\u73af\u5883\u4e0b\u7684\u5904\u7406\u80fd\u529b\u5f97\u5230\u63d0\u5347<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u4f73\u67b6\u6784\u53d6\u51b3\u4e8e\u5e94\u7528\u7a0b\u5e8f\u548c\u786c\u4ef6\u8d44\u6e90\u3002.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">21. NMF \u4e0e AI \u964d\u566a\u7684\u5bf9\u6bd4<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">NMF\u548c\u795e\u7ecf\u7f51\u7edc\u4ee5\u6839\u672c\u4e0d\u540c\u7684\u65b9\u5f0f\u89e3\u51b3\u4e86\u8fd9\u4e2a\u95ee\u9898\u3002.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u6280\u672f<\/th><th>\u4e3b\u8981\u65b9\u6cd5<\/th><th>\u4f18\u52bf<\/th><th>\u5c40\u9650\u6027<\/th><\/tr><\/thead><tbody><tr><td>\u5149\u8c31\u51cf\u6cd5<\/td><td>\u4f30\u8ba1\u5e76\u6263\u9664\u566a\u58f0<\/td><td>\u7b80\u5355\u3001\u4f4e\u6210\u672c<\/td><td>\u5bf9\u566a\u58f0\u4f30\u8ba1\u7684\u654f\u611f\u6027<\/td><\/tr><tr><td>\u7ef4\u7eb3\u6ee4\u6ce2<\/td><td>\u7edf\u8ba1\u4fe1\u53f7\u4f30\u8ba1<\/td><td>\u5e73\u6ed1\u589e\u5f3a<\/td><td>\u8fd9\u53d6\u51b3\u4e8e\u662f\u5426\u80fd\u505a\u51fa\u51c6\u786e\u7684\u4f30\u7b97<\/td><\/tr><tr><td>NMF<\/td><td>\u5206\u89e3\u8c31\u5206\u91cf<\/td><td>\u53ef\u89e3\u91ca\u7684\u3001\u7ed3\u6784\u5316\u7684<\/td><td>\u8ba1\u7b97\u590d\u6742\u5ea6<\/td><\/tr><tr><td>CNN<\/td><td>\u4e86\u89e3\u5f53\u5730\u7684\u65f6\u95f4-\u9891\u7387\u6a21\u5f0f<\/td><td>\u5f3a\u975e\u7ebf\u6027\u5efa\u6a21<\/td><td>\u9700\u8981\u57f9\u8bad<\/td><\/tr><tr><td>RNN\/LSTM<\/td><td>\u5efa\u6a21\u65f6\u95f4\u4f9d\u8d56\u5173\u7cfb<\/td><td>\u826f\u597d\u7684\u65f6\u95f4\u5efa\u6a21<\/td><td>\u66f4\u591a\u8ba1\u7b97<\/td><\/tr><tr><td>Transformer<\/td><td>\u57fa\u4e8e\u6ce8\u610f\u529b\u7684\u5efa\u6a21<\/td><td>\u957f\u8ddd\u79bb\u4e0a\u4e0b\u6587<\/td><td>\u5bf9\u8ba1\u7b97\u80fd\u529b\u7684\u8981\u6c42\u5f88\u9ad8<\/td><\/tr><tr><td>\u6df7\u5408\u5f0f DSP + AI<\/td><td>\u7efc\u5408\u8fd0\u7528\u5404\u79cd\u65b9\u6cd5<\/td><td>\u7075\u6d3b<\/td><td>\u7cfb\u7edf\u590d\u6742\u6027\u8fdb\u4e00\u6b65\u589e\u52a0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u5d4c\u5165\u5f0f\u97f3\u9891\u4ea7\u54c1\u800c\u8a00\uff0c\u95ee\u9898\u5f80\u5f80\u5e76\u975e\uff1a<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\u54ea\u79cd\u7b97\u6cd5\u6700\u5148\u8fdb\uff1f<\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u4e2a\u66f4\u597d\u7684\u5de5\u7a0b\u95ee\u9898\u662f\uff1a<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\u5728\u7ed9\u5b9a\u7684\u5ef6\u8fdf\u3001\u529f\u8017\u3001\u5185\u5b58\u548c\u5904\u7406\u80fd\u529b\u9650\u5236\u5185\uff0c\u54ea\u79cd\u7ec4\u5408\u80fd\u63d0\u4f9b\u6240\u9700\u7684\u97f3\u9891\u8d28\u91cf\uff1f<\/p>\n<\/blockquote>\n\n\n\n<h1 class=\"wp-block-heading\">22. \u4f7f\u7528 Python \u5b9e\u73b0 NMF \u7684\u5b9e\u9645\u64cd\u4f5c<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee5\u4e0b\u793a\u4f8b\u901a\u8fc7\u975e\u8d1f\u8c31\u56fe\u548c\u77e9\u9635\u5206\u89e3\u6765\u6f14\u793a\u8fd9\u4e00\u57fa\u672c\u6982\u5ff5\u3002.<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>import numpy as np\n\ndef nmf_multiplicative_update(V, rank=8, iterations=100):\n    \"\"\"\n    \u4f7f\u7528\u4e58\u6cd5\u66f4\u65b0\u7684\u57fa\u672c NMF \u7b97\u6cd5\u3002\n\n    V:\n \u5f62\u72b6\u4e3a (\u9891\u7387, \u65f6\u95f4) \u7684\u975e\u8d1f\u8f93\u5165\u77e9\u9635\n\n rank:\n NMF \u6210\u5206\u7684\u6570\u91cf\n\n iterations:\n \u4f18\u5316\u8fed\u4ee3\u6b21\u6570\n    \"\"\"\n\n eps = 1e-10\n\n F, T = V.shape\n\n    W = np.random.rand(F, rank)\n    H = np.random.rand(rank, T)\n\n for _ in range(iterations):\n\n WH = W @ H + eps\n\n        H *= (W.T @ V) \/ (W.T @ WH + eps)\n\n WH = W @ H + eps\n\n W *= (V @ H.T) \/ (W @ WH.T + eps)\n\n return W, H<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8f93\u5165\u77e9\u9635\u5fc5\u987b\u662f\u975e\u8d1f\u7684\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u97f3\u9891\u5904\u7406\u4e2d\uff0c\u8fd9\u901a\u5e38\u53ef\u4ee5\u662f\u5e45\u5ea6\u8c31\u56fe\u6216\u529f\u7387\u8c31\u56fe\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>V = np.abs(stft_result)<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u5f0f\u5206\u89e3\u540e\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>W, H = nmf_multiplicative_update(V)<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u91cd\u5efa\u540e\u7684\u9891\u8c31\u56fe\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>V_hat = W @ H<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5236\u4f5c\u97f3\u9891\u7cfb\u7edf\u9700\u8981\u9488\u5bf9\u4ee5\u4e0b\u65b9\u9762\u91c7\u53d6\u989d\u5916\u63aa\u65bd\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>STFT<\/li>\n\n\n\n<li>\u7ec4\u4ef6\u5206\u7c7b<\/li>\n\n\n\n<li>\u63a9\u7801\u4f30\u8ba1<\/li>\n\n\n\n<li>\u76f8\u5904\u7406<\/li>\n\n\n\n<li>\u9006\u77ed\u65f6\u5085\u91cc\u53f6\u53d8\u6362<\/li>\n\n\n\n<li>\u5b9e\u65f6\u7f13\u51b2<\/li>\n\n\n\n<li>\u6570\u503c\u7a33\u5b9a\u6027<\/li>\n\n\n\n<li>\u8ba1\u7b97\u4f18\u5316<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff0c\u4e0a\u9762\u7684\u4f8b\u5b50\u8bf4\u660e\u4e86 <strong>NMF\u539f\u7406<\/strong>, \uff0c\u800c\u4e0d\u662f\u4e00\u4e2a\u53ef\u7528\u4e8e\u751f\u4ea7\u73af\u5883\u7684\u8bed\u97f3\u589e\u5f3a\u5b9e\u73b0\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">23. \u5982\u4f55\u8bc4\u4f30 NMF \u97f3\u9891\u589e\u5f3a\u6548\u679c<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u5e94\u7ed3\u5408\u5ba2\u89c2\u6d4b\u91cf\u548c\u542c\u89c9\u6d4b\u8bd5\u5bf9NMF\u8fdb\u884c\u8bc4\u4f30\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6709\u7528\u7684\u6307\u6807\u5305\u62ec\uff1a<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u4fe1\u566a\u6bd4<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u7528\u4e8e\u8861\u91cf\u4fe1\u53f7\u529f\u7387\u4e0e\u566a\u58f0\u529f\u7387\u4e4b\u95f4\u7684\u5173\u7cfb\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">STOI<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u6709\u52a9\u4e8e\u8bc4\u4f30\u8bed\u97f3\u53ef\u61c2\u5ea6\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">PESQ \/ POLQA<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u611f\u77e5\u8bed\u97f3\u8d28\u91cf\u6307\u6807\u53ef\u4ee5\u63d0\u4f9b\u989d\u5916\u7684\u4fe1\u606f\uff0c\u4e0d\u8fc7\u5177\u4f53\u91c7\u7528\u54ea\u79cd\u6307\u6807\u5219\u53d6\u51b3\u4e8e\u5e94\u7528\u573a\u666f\u548c\u8bc4\u4f30\u6807\u51c6\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u8c31\u56fe\u5206\u6790<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u8f83\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u539f\u59cb\n\u566a\u58f0\nNMF\u589e\u5f3a<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee5\u786e\u5b9a\u662f\u5426\u5220\u9664\u4e86\u91cd\u8981\u7684\u8bed\u97f3\u6210\u5206\u3002.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u542c\u529b\u6d4b\u8bd5<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u4eba\u5de5\u8bc4\u4f30\u4f9d\u7136\u5f88\u91cd\u8981\uff0c\u56e0\u4e3a\u7b97\u6cd5\u5728\u63d0\u5347\u6570\u503c\u6307\u6807\u7684\u540c\u65f6\uff0c\u53ef\u80fd\u4f1a\u4ea7\u751f\u4e0d\u81ea\u7136\u7684\u8046\u542c\u4f53\u9a8c\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">24. \u5de5\u7a0b\u5e08\u5728\u4f55\u65f6\u5e94\u8003\u8651\u4f7f\u7528 NMF\uff1f<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u4ee5\u4e0b\u60c5\u51b5\u4e0b\uff0c\u503c\u5f97\u8003\u8651\u4f7f\u7528NMF\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8be5\u97f3\u9891\u5305\u542b\u591a\u4e2a\u7ed3\u6784\u5316\u97f3\u6e90<\/li>\n\n\n\n<li>\u5149\u8c31\u6a21\u5f0f\u76f8\u5bf9\u7a33\u5b9a<\/li>\n\n\n\n<li>\u5fc5\u987b\u8fdb\u884c\u6e90\u5934\u5206\u7c7b<\/li>\n\n\n\n<li>\u53ef\u4ee5\u6784\u5efa\u4e00\u4e2a\u566a\u58f0\u8bcd\u5178<\/li>\n\n\n\n<li>\u53ef\u89e3\u91ca\u6027\u5f88\u91cd\u8981<\/li>\n\n\n\n<li>\u8ba1\u7b97\u8d44\u6e90\u5145\u8db3<\/li>\n\n\n\n<li>\u8be5\u7cfb\u7edf\u9700\u8981\u7684\u7ed3\u6784\u6bd4\u7b80\u5355\u7684\u9891\u8c31\u6ee4\u6ce2\u6240\u80fd\u63d0\u4f9b\u7684\u66f4\u4e3a\u590d\u6742<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u4ee5\u4e0b\u60c5\u51b5\u4e0b\uff0cNMF\u53ef\u80fd\u4e0d\u592a\u9002\u7528\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u9700\u8981\u6781\u4f4e\u7684\u5ef6\u8fdf<\/li>\n\n\n\n<li>CPU \u8d44\u6e90\u975e\u5e38\u6709\u9650<\/li>\n\n\n\n<li>\u58f0\u5b66\u73af\u5883\u7684\u53d8\u5316\u6781\u5176\u8fc5\u901f<\/li>\n\n\n\n<li>\u76ee\u6807\u566a\u58f0\u51e0\u4e4e\u6ca1\u6709\u7a33\u5b9a\u7684\u7ed3\u6784<\/li>\n\n\n\n<li>\u7ecf\u8fc7\u8bad\u7ec3\u7684\u4eba\u5de5\u667a\u80fd\u6a21\u578b\u5df2\u7ecf\u80fd\u591f\u63d0\u4f9b\u8db3\u591f\u7684\u6027\u80fd\u63d0\u5347<\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading\">25. \u5b8c\u6574\u97f3\u9891\u5904\u7406\u7cfb\u7edf\u4e2d\u7684NMF<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u8003\u8651NMF\u65f6\uff0c\u901a\u5e38\u4e0d\u5e94\u5c06\u5176\u4e0e\u9ea6\u514b\u98ce\u548c\u58f0\u5b66\u7cfb\u7edf\u5272\u88c2\u5f00\u6765\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u4e2a\u5b9e\u7528\u7684\u97f3\u9891\u67b6\u6784\u53ef\u80fd\u5982\u4e0b\u6240\u793a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u58f0\u5b66\u73af\u5883\n \u2193\nMEMS \u9ea6\u514b\u98ce \/ <a href=\"https:\/\/sistc.com\/zh\/product-category\/sensor-module\/arrays-microphone-module\/ai-voice-platforms\/\">\u9ea6\u514b\u98ce\u9635\u5217<\/a>\n        \u2193\n\u6a21\u62df\u6216\u6570\u5b57\u524d\u7aef\n \u2193\n\u901a\u9053\u540c\u6b65\n \u2193\n\u6ce2\u675f\u6210\u5f62\/\u7a7a\u95f4\u5904\u7406\n \u2193\nSTFT\n \u2193\nNMF\/\u7ef4\u7eb3\u6ee4\u6ce2\/\u81ea\u9002\u5e94\u6ee4\u6ce2\n \u2193\nAI\u8bed\u97f3\u589e\u5f3a\n \u2193\n\u540e\u5904\u7406\n \u2193\nUSB\/I2S\/ <a href=\"https:\/\/sistc.com\/zh\/product-category\/professional-network-audio\/aes67-microphones\/\">AES67<\/a> \/<a href=\"https:\/\/sistc.com\/zh\/product\/32-element-dante-microphone-array\/\"> Dante<\/a> \/ \u7533\u8bf7<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u540c\u4ea7\u54c1\u53ef\u80fd\u53ea\u4f7f\u7528\u8be5\u94fe\u7684\u4e00\u90e8\u5206\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u4f4e\u529f\u8017\u5d4c\u5165\u5f0f\u8bbe\u5907\n\u2192 MEMS \u9ea6\u514b\u98ce + \u8f7b\u91cf\u7ea7 DSP\n\n<a href=\"https:\/\/sistc.com\/zh\/product-category\/sensor-module\/arrays-microphone-module\/smart-conferencing\/\">\u4f1a\u8bae\u9ea6\u514b\u98ce<\/a>\n\u2192 MEMS \u9635\u5217 + \u6ce2\u675f\u6210\u5f62 + DSP + AI\n\n<a href=\"https:\/\/sistc.com\/zh\/product-category\/professional-network-audio\/network-microphone-arrays\/\">\u7f51\u7edc\u97f3\u9891\u8bbe\u5907<\/a>\n\u2192 MEMS \u9635\u5217 + DSP + AI + AES67\/Dante\n\n<a href=\"https:\/\/sistc.com\/zh\/product-category\/sensor-module\/product-category-acoustic-imaging-intelligent-sensing\/\">AI \u591a\u6a21\u6001\u4f20\u611f\u5668<\/a>\n\u2192 \u539f\u59cb\u591a\u58f0\u9053\u97f3\u9891 + \u5916\u90e8\u4eba\u5de5\u667a\u80fd\u5904\u7406<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u8bf4\u660e\u4e86\u4e00\u4e2a\u91cd\u8981\u539f\u5219\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u97f3\u8d28\u662f\u7cfb\u7edf\u5c42\u9762\u7684\u7ed3\u679c\uff0c\u800c\u4e0d\u4ec5\u4ec5\u662f\u7b97\u6cd5\u5c42\u9762\u7684\u7ed3\u679c\u3002.<\/strong><\/p>\n\n\n\n<h1 class=\"wp-block-heading\">26. NMF \u4e0e\u667a\u80fd\u97f3\u9891\u611f\u77e5\u6280\u672f\u7684\u672a\u6765<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u968f\u7740\u97f3\u9891\u7cfb\u7edf\u4e0e\u4eba\u5de5\u667a\u80fd\u7684\u878d\u5408\u65e5\u76ca\u7d27\u5bc6\uff0cNMF \u7b49\u7b97\u6cd5\u4f9d\u7136\u5177\u6709\u91cd\u8981\u610f\u4e49\uff0c\u56e0\u4e3a\u5b83\u4eec\u63d0\u4f9b\u4e86\u4e00\u79cd\u7ed3\u6784\u5316\u7684\u65b9\u6cd5\u6765\u8868\u793a\u590d\u6742\u7684\u58f0\u5b66\u4fe1\u606f\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u73b0\u4ee3\u7cfb\u7edf\u5e76\u975e\u8981\u5b8c\u5168\u53d6\u4ee3\u4f20\u7edf\u7684DSP\uff0c\u800c\u662f\u53ef\u4ee5\u5c06\u4e24\u8005\u7ed3\u5408\u8d77\u6765\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9ad8\u54c1\u8d28\u9ea6\u514b\u98ce\n +\n\u58f0\u5b66\u8bbe\u8ba1\n +\n\u7a7a\u95f4\u5904\u7406\n +\n\u7ecf\u5178DSP\n +\nNMF \/ \u58f0\u6e90\u5206\u79bb\n +\nAI<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0e\u4ec5\u4f9d\u8d56\u5355\u4e00\u7b97\u6cd5\u76f8\u6bd4\uff0c\u8fd9\u79cd\u5206\u5c42\u67b6\u6784\u80fd\u63d0\u4f9b\u66f4\u5927\u7684\u7075\u6d3b\u6027\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u9ea6\u514b\u98ce\u5236\u9020\u5546\u548c\u97f3\u9891\u7cfb\u7edf\u5f00\u53d1\u5546\u800c\u8a00\uff0c\u8fd9\u4e5f\u610f\u5473\u7740\u5728\u7cfb\u7edf\u8bbe\u8ba1\u8fc7\u7a0b\u4e2d\uff0c\u5e94\u7efc\u5408\u8003\u8651\u9ea6\u514b\u98ce\u89c4\u683c\u3001\u9635\u5217\u51e0\u4f55\u7ed3\u6784\u3001\u901a\u9053\u540c\u6b65\u3001DSP\u67b6\u6784\u4ee5\u53caAI\u5904\u7406\u7b49\u56e0\u7d20\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">27. \u5173\u952e\u8981\u70b9<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">NMF \u662f\u4e00\u4e2a\u5f3a\u5927\u7684\u6570\u5b66\u6846\u67b6\uff0c\u7528\u4e8e\u5c06\u97f3\u9891\u8868\u793a\u4e3a\u975e\u8d1f\u8c31\u5206\u91cf\u7684\u7ec4\u5408\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u6838\u5fc3\u7406\u5ff5\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>V \u2248 WH<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>V<\/code> \u8868\u793a\u89c2\u6d4b\u5230\u7684\u8c31\u56fe<\/li>\n\n\n\n<li><code>W<\/code> \u5305\u542b\u8c31\u57fa\u51fd\u6570\u6a21\u5f0f<\/li>\n\n\n\n<li><code>H<\/code> \u5305\u542b\u65f6\u95f4\u6fc0\u6d3b<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u97f3\u9891\u964d\u566a\u65b9\u9762\uff0c\u53ef\u5229\u7528NMF\u6765\u4f30\u8ba1\u8bed\u97f3\u548c\u566a\u58f0\u6210\u5206\uff0c\u5e76\u6784\u5efa\u66f4\u6e05\u6670\u7684\u65f6\u9891\u8868\u793a\u3002.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e3b\u8981\u4f18\u52bf\u5305\u62ec\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7ed3\u6784\u5316\u8c31\u5206\u89e3<\/li>\n\n\n\n<li>\u6e90\u5934\u5206\u7c7b\u80fd\u529b<\/li>\n\n\n\n<li>\u53ef\u89e3\u91ca\u7ec4\u4ef6<\/li>\n\n\n\n<li>\u4e0e\u57fa\u4e8eSTFT\u7684\u5904\u7406\u7684\u517c\u5bb9\u6027<\/li>\n\n\n\n<li>\u4e0eDSP\u548cAI\u7cfb\u7edf\u7684\u6f5c\u5728\u96c6\u6210<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u5c40\u9650\u6027\u5305\u62ec\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8ba1\u7b97\u590d\u6742\u5ea6<\/li>\n\n\n\n<li>\u7ec4\u4ef6\u6b67\u4e49<\/li>\n\n\n\n<li>\u5bf9\u6a21\u578b\u5047\u8bbe\u7684\u654f\u611f\u6027<\/li>\n\n\n\n<li>\u96be\u4ee5\u5904\u7406\u53d8\u5316\u8fc5\u901f\u6216\u9ad8\u5ea6\u91cd\u53e0\u7684\u6570\u636e\u6e90<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u5b9e\u9645\u4ea7\u54c1\u800c\u8a00\uff0cNMF \u6700\u597d\u88ab\u89c6\u4e3a <strong>\u4e00\u4e2a\u66f4\u5927\u7684\u97f3\u9891\u5904\u7406\u67b6\u6784\u4e2d\u7684\u4e00\u4e2a\u7ec4\u6210\u90e8\u5206<\/strong>, \uff0c\u800c\u4e0d\u662f\u4e00\u79cd\u901a\u7528\u7684\u964d\u566a\u65b9\u6848\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">\u5e38\u89c1\u95ee\u9898<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">\u5728\u97f3\u9891\u5904\u7406\u4e2d\uff0cNMF\u662f\u4ec0\u4e48\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">NMF\uff08\u5373\u975e\u8d1f\u77e9\u9635\u5206\u89e3\uff09\u5c06\u975e\u8d1f\u97f3\u9891\u9891\u8c31\u56fe\u5206\u89e3\u4e3a\u9891\u8c31\u57fa\u51fd\u6570\u6a21\u5f0f\u548c\u65f6\u57df\u6fc0\u6d3b\u6a21\u5f0f\u3002\u5b83\u53ef\u7528\u4e8e\u58f0\u6e90\u5206\u79bb\u3001\u8bed\u97f3\u589e\u5f3a\u548c\u964d\u566a\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">NMF\u662f\u5982\u4f55\u964d\u4f4e\u97f3\u9891\u566a\u58f0\u7684\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">NMF \u4f1a\u4f30\u7b97\u97f3\u9891\u9891\u8c31\u56fe\u4e2d\u7684\u4e0d\u540c\u6210\u5206\u3002\u5982\u679c\u8bed\u97f3\u548c\u566a\u58f0\u53ef\u4ee5\u7531\u4e0d\u540c\u7684\u6210\u5206\u8868\u793a\uff0c\u90a3\u4e48\u7cfb\u7edf\u5c31\u53ef\u4ee5\u5728\u51cf\u5c11\u566a\u58f0\u76f8\u5173\u6210\u5206\u7684\u540c\u65f6\uff0c\u91cd\u5efa\u8bed\u97f3\u76f8\u5173\u6210\u5206\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">NMF \u6bd4\u5149\u8c31\u51cf\u6cd5\u66f4\u597d\u5417\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u4eec\u91c7\u7528\u4e0d\u540c\u7684\u65b9\u6cd5\u6765\u89e3\u51b3\u95ee\u9898\u3002\u8c31\u51cf\u6cd5\u901a\u5e38\u66f4\u4e3a\u7b80\u5355\uff0c\u800cNMF\u5219\u80fd\u591f\u8868\u793a\u591a\u4e2a\u7ed3\u6784\u5316\u7684\u8c31\u5206\u91cf\u3002\u9009\u62e9\u54ea\u79cd\u65b9\u6cd5\u53d6\u51b3\u4e8e\u566a\u58f0\u7279\u6027\u3001\u8ba1\u7b97\u8d44\u6e90\u4ee5\u53ca\u5e94\u7528\u9700\u6c42\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">NMF \u80fd\u5426\u7528\u4e8e\u8bed\u97f3\u589e\u5f3a\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u662f\u7684\u3002NMF \u53ef\u7528\u4e8e\u5c06\u5e26\u566a\u58f0\u7684\u8bed\u97f3\u5206\u89e3\u4e3a\u4e0e\u8bed\u97f3\u76f8\u5173\u7684\u6210\u5206\u548c\u4e0e\u566a\u58f0\u76f8\u5173\u7684\u6210\u5206\uff0c\u7136\u540e\u91cd\u5efa\u51fa\u589e\u5f3a\u7684\u8bed\u97f3\u4fe1\u53f7\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">NMF \u80fd\u5426\u4e0e MEMS \u9ea6\u514b\u98ce\u914d\u5408\u4f7f\u7528\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u662f\u7684\u3002NMF \u9002\u7528\u4e8e\u97f3\u9891\u6570\u636e\uff0c\u5e76\u53ef\u7528\u4e8e\u5904\u7406 MEMS \u9ea6\u514b\u98ce\u4fe1\u53f7\u3002\u9ea6\u514b\u98ce\u524d\u7aef\u7684\u8d28\u91cf\u3001\u4fe1\u566a\u6bd4\uff08SNR\uff09\u3001\u9891\u7387\u54cd\u5e94\u3001\u901a\u9053\u540c\u6b65\u4ee5\u53ca\u9635\u5217\u8bbe\u8ba1\u90fd\u4f1a\u5f71\u54cd\u6700\u7ec8\u7684\u7cfb\u7edf\u6027\u80fd\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">NMF \u80fd\u5426\u4e0e\u9ea6\u514b\u98ce\u9635\u5217\u7ed3\u5408\u4f7f\u7528\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u662f\u7684\u3002\u9ea6\u514b\u98ce\u9635\u5217\u63d0\u4f9b\u7a7a\u95f4\u4fe1\u606f\uff0c\u800cNMF\u5219\u63d0\u4f9b\u9891\u8c31\u5206\u89e3\u3002\u56e0\u6b64\uff0c\u6ce2\u675f\u6210\u5f62\u3001\u7a7a\u95f4\u6ee4\u6ce2\u548cNMF\u53ef\u4ee5\u5728\u591a\u9ea6\u514b\u98ce\u97f3\u9891\u5904\u7406\u7cfb\u7edf\u4e2d\u7ed3\u5408\u4f7f\u7528\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">NMF \u9002\u5408\u7528\u4e8e\u5b9e\u65f6\u97f3\u9891\u5904\u7406\u5417\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u786e\u5b9e\u53ef\u4ee5\uff0c\u4f46\u5b9e\u65f6NMF\u9700\u8981\u8fdb\u884c\u4ed4\u7ec6\u7684\u4f18\u5316\uff0c\u56e0\u4e3a\u77e9\u9635\u5206\u89e3\u53ef\u80fd\u9700\u8981\u5927\u91cf\u7684\u8ba1\u7b97\u8d44\u6e90\u3002\u5fc5\u987b\u8003\u8651CPU\u6027\u80fd\u3001\u5185\u5b58\u3001\u5ef6\u8fdf\u3001\u529f\u8017\u4ee5\u53caNMF\u6210\u5206\u7684\u6570\u91cf\u3002.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">NMF \u548c AI \u53ef\u4ee5\u7ed3\u5408\u4f7f\u7528\u5417\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u662f\u7684\u3002NMF \u53ef\u4ee5\u4e3a\u795e\u7ecf\u7f51\u7edc\u63d0\u4f9b\u7ed3\u6784\u5316\u7684\u9891\u8c31\u7279\u5f81\u6216\u521d\u6b65\u7684\u6e90\u4f30\u8ba1\u3002\u6df7\u5408\u578b DSP + NMF + AI \u67b6\u6784\u80fd\u591f\u5c06\u53ef\u89e3\u91ca\u7684\u4fe1\u53f7\u5904\u7406\u4e0e\u673a\u5668\u5b66\u4e60\u7684\u975e\u7ebf\u6027\u5efa\u6a21\u80fd\u529b\u76f8\u7ed3\u5408\u3002.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">\u63a8\u8350\u7684\u5916\u90e8\u53c2\u8003\u8d44\u6599<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/signal.html\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>SciPy \u4fe1\u53f7\u5904\u7406\u6587\u6863<\/strong> <\/a>\u2014 \u6709\u5173\u77ed\u65f6\u5085\u91cc\u53f6\u53d8\u6362\uff08STFT\uff09\u548c\u4fe1\u53f7\u5904\u7406\u5b9e\u73b0\u7684\u53c2\u8003\u8d44\u6599\u3002.<\/li>\n\n\n\n<li><strong><a href=\"https:\/\/scikit-learn.org\/stable\/modules\/generated\/sklearn.decomposition.NMF.html\" target=\"_blank\" rel=\"noreferrer noopener\">scikit-learn \u975e\u8d1f\u77e9\u9635\u5206\u89e3\u6587\u6863<\/a><\/strong> \u2014 \u6709\u52a9\u4e8e\u89e3\u91ca NMF \u7684\u5b9e\u9645\u5b9e\u73b0\u3002.<\/li>\n\n\n\n<li><strong><a href=\"https:\/\/pywavelets.readthedocs.io\/en\/latest\/\" target=\"_blank\" rel=\"noreferrer noopener\">PyWavelets \u6587\u6863<\/a><\/strong> \u2014 \u5bf9\u66f4\u5e7f\u6cdb\u7684DSP\/\u964d\u566a\u5185\u5bb9\u96c6\u7fa4\u5f88\u6709\u5e2e\u52a9\u3002.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>","protected":false},"excerpt":{"rendered":"<p>Noise reduction is not always a simple matter of subtracting a noise spectrum from an audio signal. In many real-world environments, the microphone captures a mixture of speech, background noise, [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"_joinchat":[],"footnotes":""},"categories":[103],"tags":[],"class_list":["post-16699","post","type-post","status-publish","format-standard","hentry","category-technical-blog"],"_links":{"self":[{"href":"https:\/\/sistc.com\/zh\/wp-json\/wp\/v2\/posts\/16699","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sistc.com\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sistc.com\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sistc.com\/zh\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/sistc.com\/zh\/wp-json\/wp\/v2\/comments?post=16699"}],"version-history":[{"count":3,"href":"https:\/\/sistc.com\/zh\/wp-json\/wp\/v2\/posts\/16699\/revisions"}],"predecessor-version":[{"id":16702,"href":"https:\/\/sistc.com\/zh\/wp-json\/wp\/v2\/posts\/16699\/revisions\/16702"}],"wp:attachment":[{"href":"https:\/\/sistc.com\/zh\/wp-json\/wp\/v2\/media?parent=16699"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sistc.com\/zh\/wp-json\/wp\/v2\/categories?post=16699"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sistc.com\/zh\/wp-json\/wp\/v2\/tags?post=16699"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}