1. CSI\uff08Cover Song identification\uff09\u5b9a\u4e49\uff1a
\n\u591a\u7248\u672c\u97f3\u4e50\u53ef\u80fd\u4f1a\u5728\u97f3\u8d28\u3001\u901f\u5ea6\u3001\u7ed3\u6784\u3001\u8bed\u8a00\u7b49\u65b9\u9762\u6709\u5f88\u591a\u4e0d\u540c\u3002
\n\u4efb\u52a1\uff1a\u7ed9\u5b9a\u4e00\u6bb5\u97f3\u4e50\u4f5c\u4e3a\u67e5\u8be2\uff0c\u4ece\u6570\u636e\u5e93\u4e2d\u8fd4\u56de\u4e00\u4e2a\u6309\u76f8\u4f3c\u5ea6\u6392\u5e8f\u7684\u6b4c\u66f2\u5217\u8868\uff0e<\/p>\n
\u4e0e\u524d\u51e0\u5929\u8bf4\u7684\u97f3\u9891\u6307\u7eb9\u7684\u533a\u522b\uff1a\u901a\u5e38\u8ba4\u4e3a\u97f3\u4e50\u6d41\u6d3e\u5206\u7c7b\u662f\u4f4e\u76f8\u4f3c\u6027\u8981\u6c42\uff0c\u97f3\u9891\u6307\u7eb9\u662f\u9ad8\u76f8\u4f3c\u6027\u8981\u6c42\uff0c\u800c\u591a\u7248\u672c\u97f3\u4e50\u8bc6\u522b\u5219\u662f\u4e2d\u7b49\u7a0b\u5ea6\u7684\u76f8\u4f3c\u6027\u8981\u6c42<\/p>\n
\u5de5\u4f5c\u57fa\u7840\u4e0e\u96be\u5ea6\uff1a
\n\u57fa\u7840\uff1a\u540c\u6e90\u97f3\u4e50\u7684\u4e0d\u540c\u7248\u672c\u5728\u4e3b\u65cb\u5f8b\u53ca\u548c\u58f0\u8fdb\u884c\u65b9\u9762\u4e00\u822c\u4f1a\u4fdd\u6301\u4e00\u81f4\u6216\u63a5\u8fd1\u4e00\u81f4
\n\u96be\u5ea6\uff1a\u4f46\u5404\u4e2a\u7248\u672c\u97f3\u4e50\u5728\u5176\u5b83\u91cd\u8981\u7684\u97f3\u4e50\u8981\u7d20\u5982\u97f3\u8272\u3001\u901f\u5ea6\u3001\u8282\u594f\u3001\u57fa\u8c03\u3001\u6b4c\u8bcd\u3001\u548c\u58f0\u3001\u751a\u81f3\u6574\u4f53\u7ed3\u6784\u4e0a\u901a\u5e38\u4f1a\u5b58\u5728\u5dee\u5f02\u751a\u81f3\u5b8c\u5168\u4e0d\u540c\u3002<\/p>\n
2. \u5173\u952e\u6280\u672f\u6982\u8ff0
\n2.1 \u7814\u7a76\u601d\u8def\uff1a
\n\uff081\uff09\u4ece\u97f3\u4e50\u8ba4\u77e5\u5b66\u65b9\u9762\u51fa\u53d1\uff0c\u8be5\u65b9\u5411\u7531\u4e8e\u8ba4\u77e5\u5b66\u65b9\u9762\u7684\u9650\u5236\uff0c\u5177\u6709\u5f88\u5927\u7684\u5ea6\uff0c\u7814\u7a76\u6210\u679c\u4e0d\u662f\u5f88\u591a\uff0e
\n\uff082\uff09\u53e6\u4e00\u79cd\u662f\u76ee\u524d\u5927\u591a\u6570\u591a\u7248\u672c\u97f3\u4e50\u8bc6\u522b.\u7b97\u6cd5\u6240\u91c7\u7528\u7684\u57fa\u672c\u601d\u60f3\uff0e\u5373\u4ece\u6574\u9996\u97f3\u4e50\u6216\u8005\u7247\u6bb5\u4e2d\u63d0\u53d6\u8868\u73b0\u6bd4\u8f83\u7a33\u5b9a\u7684\u4e00\u4e9b\u97f3\u4e50\u8981\u7d20\u4f5c\u4e3a\u7a33\u5b9a\u7279\u5f81\uff0c\u7136\u540e\u5728\u5404\u4e2a\u7248\u672c\u95f4\u8fdb\u884c\u5339\u914d\u8ba1\u7b97\u5176\u76f8\u4f3c\u6027<\/p>\n
2.2 \u9c81\u68d2\u6027\u8981\u6c42\uff1a\u7531\u4e8e\u51e0\u79cd\u91cd\u8981\u7279\u6027\u5982\u97f3\u8272\u3001\u57fa\u8c03\u3001\u548c\u58f0\u3001\u901f\u5ea6\u3001\u65f6\u5e8f\u3001\u7ed3\u6784\u7b49\u5728\u97f3\u4e50\u7684\u4e0d\u540c\u7248\u672c\u4e0b\u90fd\u53ef\u80fd\u53d1\u751f\u53d8\u5316\uff0c\u6545\u8981\u5f97\u5230\u6b63\u786e\u7684\u7ed3\u679c\u591a\u7248\u672c\u97f3\u4e50\u8bc6\u522b\u7cfb\u7edf\u5c31\u5fc5\u987b\u5bf9\u8fd9\u4e9b\u53d8\u5316\u7684\u97f3\u4e50\u8981\u7d20\u5177\u6709\u9ad8\u5ea6\u7684\u9c81\u68d2\u6027<\/p>\n
2.3 \u7279\u5f81\u9009\u62e9;
\n2.3.1 \u53c8\u4e00\u6b21\u4ecb\u7ecdChroma(Pich classes Profiles)
\n\u4f18\uff1a\u8003\u8651\u4e86\u548c\u58f0\u7684\u5b58\u5728\uff0c\u5bf9\u566a\u58f0\u548c\u975e\u97f3\u8c03\u58f0\u97f3\u9c81\u68d2\uff0c\u4e0e\u7edd\u5bf9\u97f3\u8c03\u3001\u97f3\u8272\u53ca\u6f14\u594f\u4e50\u5668\u3001\u97f3\u91cf
\n\u548c\u529b\u5ea6\u65e0\u5173
\n\u7f3a\uff1a \u5c3d\u7ba1\u5982\u6b64\uff0c\u901f\u5ea6\u3001\u57fa\u8c03\u3001\u7ed3\u6784\u8fd9\u4e09\u79cd\u8981\u7d20\u7531\u4e8e\u5728\u97f3\u4e50\u5404\u7248\u672c\u4e4b\u95f4\u53d8\u5316\u8f83\u5927\uff0c\u4f9d\u9760\u97f3\u9891\u7279\u5f81\u672c\u8eab\u5e76\u4e0d\u80fd\u514b\u670d\u5b83\u4eec\u7684\u6539\u53d8\u3002
\n\u4e2d\u5c42\u65cb\u5f8b\u7279\u5f81\u5c31\u662fChroma\uff0c\u5b83\u901a\u5e38\u5728\u77ed\u65f6\u5e27(\u5982lOOms)\u5185\u9010\u5e27\u8ba1\u7b97\uff0c\u5c06\u7ed9\u5b9a\u9891\u5e26\u8303\u56f4\u5185(\u5982200-2000Hz)\u7684\u9891\u8c31\u80fd\u91cf\u91cf\u5316\u621012\u4e2a\u4e0e\u516b\u5ea6\u65e0\u5173\u7684\u534a\u9636\u97f3\u7b26\u7c7b(C\u3001C#\u3001D\u3001D#\u3001E\u3001F\u3001F#\u3001G\u3001G#\u3001A\u3001A#\u3001B)
\nChl’oma\u7279\u5f81\u4ee3\u8868\u5355\u97f3\u8c03\u6216\u590d\u8c03\u97f3\u4e50\u7684\u97f3\u9636\u7c7b\u5206\u5e03\uff0c\u8003\u8651\u4e86\u548c\u58f0\u7684\u5b58\u5728\uff0c\u5bf9\u566a\u58f0\u548c\u975e\u97f3\u8c03\u58f0\u97f3\u9c81\u68d2\uff0c\u4e0e\u7edd\u5bf9\u97f3\u8c03\u3001\u97f3\u8272\u53ca\u6f14\u594f\u4e50\u5668\u3001\u97f3\u91cf\u548c\u529b\u5ea6\u65e0\u5173<\/p>\n
2.3.2 \u4e3a\u4e86\u514b\u670d\u4ee5\u4e0a\u7684\u7f3a\u70b9\uff0c\u91c7\u53d6\u4e94\u4e2a\u529f\u80fd\u6a21\u5757\u5373\uff1a\u7279\u5f81\u63d0\u53d6\u3001\u57fa\u8c03\u4e0d\u53d8\u6027\u3001\u901f\u5ea6\u4e0d\u53d8\u6027\u3001\u7ed3
\n\u6784\u4e0d\u53d8\u6027\u4ee5\u53ca\u6700\u540e\u7684\u76f8\u4f3c\u5ea6\u8ba1\u7b97\u5206\u522b\u9610\u8ff0\u591a\u7248\u672c\u97f3\u4e50\u8bc6\u522b\u7684\u7cfb\u7edf\u529f\u80fd<\/p>\n
2.3.3 \u7279\u5f81\u63d0\u53d6\uff1a
\n\uff081\uff09\u548c\u58f0:\u97f3\u8c03(Tonality)\u901a\u5e38\u7528\u4e8e\u8868\u793a\u4e00\u7cfb\u5217\u97f3\u9ad8(Pitch)\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4ece\u800c\u5f62\u6210\u65cb\u5f8b\u7ebf\u6216\u548c\u58f0\uff0e\u540c\u4e00\u97f3\u4e50\u4f5c\u54c1\u7684\u4e0d\u540c\u7248\u672c\u95f4\u901a\u5e38\u4f1a\u4fdd\u6301\u4e0e\u57fa\u8c03\u65e0\u5173\u4e14\u51e0\u4e4e\u4e00\u6837\u7684\u4e3b\u65cb\u5f8b\u7ebf\u6216\u548c\u58f0\u8fdb\u884c\uff0c\u56e0\u6b64\u97f3\u8c03\u6216\u548c\u58f0\u5185\u5bb9\u5c31\u6210\u4e3a\u591a\u7248\u672c\u97f3\u4e50\u8bc6\u522b\u9996\u8981\u8003\u8651\u7684\u9c81\u68d2\u4e2d\u5c42\u7279\u5f81\u3002
\n\uff082\uff09\u65cb\u5f8b\uff1a\u5b83\u662f\u97f3\u4e50\u6700\u91cd\u8981\u7684\u8981\u7d20\u4e4b\u4e00\u3002
\n\uff083\uff09\u4e2d\u5c42\u65cb\u5f8b\u7279\u5f81\uff1aChroma\/\u548c\u5f26\u5e8f\u5217
\n\u548c\u5f26\u5e8f\u5217\u4ecb\u7ecd\uff1a
\n\u4e24\u4e2a\u6b65\u9aa4\uff1a
\n1)\u5c06\u97f3\u9891\u6309\u77ed\u65f6\u5e27\u53d8\u6362\u6210\u7279\u5f81\u77e2\u91cf\u4f8b\u5982PCP\uff1b
\n2)\u4f7f\u7528\u6a21\u677f\u5339\u914d\u6216\u9690\u9a6c\u5c14\u53ef\u592b\u6a21\u578bHMM\u7684Viterbi\u7b97\u6cd5\u4ece\u8fd9\u4e9b\u77e2\u91cf\u4e2d\u5012\u63a8\u51fa\u6700\u53ef\u80fd\u7684\u548c\u5f26\u5e8f\u5217\u3002
\n\u901a\u5e38\u7528\u4e8e\u8bad\u7ec3\u7684\u5e38\u7528\u548c\u5f26\u6a21\u677f\u670912\u4e2a\u5927\u8c03\u548c12\u4e2a\u5c0f\u8c03\u517124\u4e2a\u548c\u5f26\uff0c\u4e5f\u6709\u4e9b\u7814\u7a76\u96c6\u6210\u4e86\u66f4\u590d\u6742\u7684\u548c\u5f26\u79cd\u7c7b\u5982\u4e03\u548c\u5f26\u3001\u4e5d\u548c\u5f26\u3001\u589e\u548c\u5f26\u3001\u51cf\u548c\u5f26\u7b49\t\uff0e\u76f8\u6bd4\u4e8e\u8ba1\u7b97\u7b80\u5355\u7684PCP\u7279\u5f81\uff0c\u548c\u5f26\u5e8f\u5217\u4f30\u8ba1\u672c\u8eab\u5c31\u662f\u4e00\u4e2a\u5c1a\u672a\u89e3\u51b3\u7684\u96be\u9898\uff0c\u5230\u76ee\u524d\u4e3a\u6b62\u51c6\u786e\u7387\u4e0d\u9ad8\u4e14\u672a\u7ecf\u5927\u89c4\u6a21\u5b9e\u9a8c\u9a8c\u8bc1\uff0e<\/p>\n
\uff084\uff09\u901f\u5ea6\u4e0d\u53d8\u6027
\n\u901f\u5ea6\u6539\u53d8\u7684\u539f\u56e0\uff1a\u7248\u672c\u4e0d\u540c\u901f\u5ea6\u4e0d\u540c\u6ce2\u5f62\u4e0d\u540c
\n\u4fdd\u6301\u901f\u5ea6\u4e0d\u53d8\u6027\u7684\u65b9\u6cd5\uff1a
\n1\uff09 \u4e00\u4e2a\u76f4\u89c2\u7684\u529e\u6cd5\u5c31\u662f\u5bf9\u4e24\u9996\u957f\u5ea6\u4e0d\u540c\u7684\u97f3\u4e50\u4fe1\u53f7\u901a\u8fc7\u91cd\u91c7\u6837\u8fdb\u884c\u6269\u5c55\u6216\u538b\u7f29\uff0c\u53d8\u4e3a\u7b49\u957f\u540e\u518d\u9010\u5e27\u5212\u5206\u5e76\u8ba1\u7b97\u7279\u5f81\u77e2\u91cf\u76f8\u4f3c\u6027\uff0e\u7531\u4e8e\u91cd\u91c7\u6837\u5f71\u54cd\u97f3\u9891\u8d28\u91cf\uff0c\u4f1a\u7ed9\u7279\u5f81\u77e2\u91cf\u7684\u8ba1\u7b97\u5e26\u6765\u4e00\u5b9a\u8bef\u5dee\u3002
\n2\uff09\u7b2c\u4e8c\u4e2a\u65b9\u6cd5\u662f\u5982\u679c\u80fd\u7cbe\u786e\u63d0\u53d6\u7b26\u53f7\u5f62\u5f0f\u7684\u65cb\u5f8b\u97f3\u7b26\u5e8f\u5217\uff0c\u53ef\u4ee5\u91c7\u7528\u4e24\u4e2a\u8fde\u7eed\u97f3\u7b26\u95f4\u9694\u7684\u6bd4\u4f8b\u4f5c\u4e3a\u76f8\u5bf9\u901f\u5ea6\u8868\u793a\uff0e\u5982\u679c\u548c\u76f8\u5bf9\u97f3\u8c03\u7f16\u7801\u7ed3\u5408\uff0c\u5c31\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u5bf9\u57fa\u8c03\u548c\u901f\u5ea6\u90fd\u4e0d\u53d8\u7684\u8868\u793a\uff0e\u4f46\u662f\u3002\u63d0\u53d6\u591a\u58f0\u90e8\u65cb\u5f8b\u672c\u8eab\u5c31\u662f\u4e00\u4e2a\u91cd\u5927\u96be\u9898\uff0c\u56e0\u6b64\u672c\u65b9\u6cd5\u76ee\u524d\u8fd8\u65e0\u6cd5\u5b9e\u7528\uff0e
\n3\uff09\u62cd\u5e8f\u5217\u5bf9\u9f50\u6cd5\uff0e\u9996\u5148\u5bf9\u4e0d\u540c\u7248\u672c\u7684\u97f3\u4e50\u5206\u522b\u4f30\u8ba1\u901f\u5ea6\u548c\u8282\u62cd\uff0e\u56e0\u8282\u62cd\u4f4d\u7f6e\u4e00\u822c\u5c5e\u4e8e\u542c\u89c9\u611f\u77e5\u91cd\u8981\u7684\u97f3\u4e50\u8fb9\u7f18\uff0c\u6240\u4ee5\u5728\u5927\u591a\u6570\u5931\u771f\u4e0b\u4ecd\u53ef\u4ee5\u4fdd\u6301\u7a33\u5b9a\u3002\u5c06\u8282\u62cd\u5e8f\u5217\u5bf9\u9f50\u540e\u5373\u53ef\u5f97\u5230\u4e24\u9996\u6b4c\u4e4b\u95f4\u5e27\u4e0e\u5e27\u7684\u5bf9\u5e94\u5173\u7cfb\uff0c\u8fdb\u800c\u5728\u5bf9\u9f50\u7684\u97f3\u9891\u5e27\u4e2d\u8ba1\u7b97\u65cb\u5f8b\u3001PCP\u7b49\u97f3\u9891\u63cf\u8ff0\u5b50\u6216\u548c\u5f26\u5e8f\u5217
\nTherefore
\n\u52a8\u6001\u89c4\u5212\u6280\u672f\u5c24\u5176\u662f\u52a8\u6001\u65f6\u95f4\u89c4\u6574DTW(Dynamic TimeWarping)\u548c\u7f16\u8f91\u8ddd\u79bb\u3002\u7531\u4e8e\u5176\u5728\u67d0\u4e9b\u90bb\u57df\u7ea6\u675f\u4e0b\u80fd\u81ea\u52a8\u53d1\u73b0\u6700\u4f18\u5bf9\u9f50\u8def\u5f84\u7684\u80fd\u529b\uff0c\u5df2\u5728\u591a\u7248\u672c\u97f3\u4e50\u8bc6\u522b\u4e2d\u5f97\u5230\u4e86\u5e7f\u6cdb\u7684\u5e94\u7528\uff0e<\/p>\n
(5) \u7ed3\u6784\u4e0d\u53d8\u6027
\n\u63d0\u53d6\u51fa\u91cd\u590d\u6700\u591a\u7684\u90e8\u5206\u4f5c\u4e3a\u6458\u8981(Mu\uff0esic Summary)\u4ee3\u8868\u8be5\u6bb5\u97f3\u4e50\u3002\u5982\u679c\u4e24\u6bb5\u97f3\u4e50\u7684\u6458\u8981\u88ab\u5224\u65ad\u4e3a\u76f8\u4f3c\uff0c\u90a3\u4e48\u5c31\u8ba4\u4e3a\u6574\u6bb5\u97f3\u4e50\u4e5f\u662f\u76f8\u4f3c\u7684\uff0e\u91cd\u590d\u6027\u6700\u9ad8\u7684\u90e8\u5206\u672a\u5fc5\u5c31\u662f\u6700\u5177\u4ee3\u8868\u6027\u7684\uff0c\u56e0\u6b64\u91c7\u7528\u8fd9\u79cd\u7b56\u7565\u4e5f\u5177\u6709\u5f88\u5927\u7684\u5c40\u9650\u6027\uff0e<\/p>\n
2.4 \u76f8\u4f3c\u6027\u8ba1\u7b97\uff1a
\n\u4f20\u7edf\u7684\uff1a\u76f8\u4f3c\u6027\u5ea6\u91cf\u5982\u4e92\u76f8\u5173\u3001Frobenius\u8303\u6570\u3001\u6b27\u6c0f\u8ddd\u79bb\u3001\u70b9\u79ef
\n\u57fa\u4e8e\u52a8\u6001\u89c4\u5212\u7684\u7cfb\u7edf\uff1a\u7f16\u8f91\u8ddd\u79bb\u548cDTW\u672c\u8eab\u8f93\u51fa\u7684\u76f8\u4f3c\u5ea6\uff0e\u57fa\u4e8e\u5c40\u90e8\u5bf9\u9f50\u6280\u672f\u7684\u7b97\u6cd5\u7ecf\u5e38\u4f7f\u7528\u5339\u914d\u5b50\u4e32\u7684\u957f\u5ea6\u4f5c\u4e3a\u76f8\u4f3c\u6027\u5ea6\u91cf\uff0e
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3. \u4e0b\u4e00\u6b65\u8ba1\u5212\uff1a
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