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MFCC\u306b\u52d5\u304d\u306e\u60c5\u5831\u3092\u52a0\u3048\u308b\u62e1\u5f35\u3068\u3057\u3066\u3001\u30c7\u30eb\u30bf\uff08\u4e00\u6b21\u5dee\u5206\uff09\u3068\u30c7\u30eb\u30bf\u30c7\u30eb\u30bf\uff08\u4e8c\u6b21\u5dee\u5206\uff09\u304c\u3042\u308b\u3002\u3053\u308c\u306f\u3001\u30d5\u30ec\u30fc\u30e0\u3054\u3068\u306b\u5f97\u3089\u308c\u308bMFCC\u306e\u6642\u9593\u5909\u5316\uff08\u50be\u304d\u3001\u52a0\u901f\u5ea6\uff09\u3092\u8fd1\u4f3c\u7684\u306b\u6c42\u3081\u3001\u5143\u306e\u4fc2\u6570\u306b\u4ed8\u3051\u8db3\u3057\u3066\u7279\u5fb4\u6b21\u5143\u3092\u5897\u3084\u3059\u65b9\u6cd5\u3067\u3001\u97f3\u58f0\u51e6\u7406\u3067\u53e4\u5178\u7684\u304b\u3064\u6709\u52b9\u3068\u3055\u308c\u308b\u3002\u4e00\u822c\u306b\u306f\u3001\u9759\u7684\u306aMFCC\uff0813\u6b21\u306a\u3069\uff09\u306b\u30c7\u30eb\u30bf\u3068\u30c7\u30eb\u30bf\u30c7\u30eb\u30bf\u3092\u9023\u7d50\u3057\u3066\u5408\u8a0839\u6b21\u5143\u3068\u3059\u308b\u8a2d\u5b9a\u304c\u3088\u304f\u4f7f\u308f\u308c\u308b\u3002\u30c7\u30eb\u30bf\u306e\u8a08\u7b97\u306f\u3001\u524d\u5f8c\u30d5\u30ec\u30fc\u30e0\u3068\u306e\u5dee\u3092\u91cd\u307f\u4ed8\u304d\u3067\u5e73\u5747\u3059\u308b\u5f62\u3067\u5b9a\u7fa9\u3055\u308c\u3001\u7a93\u5e452\u30d5\u30ec\u30fc\u30e0\u7a0b\u5ea6\u3092\u7528\u3044\u308b\u306e\u304c\u901a\u4f8b\u3067\u3042\u308b\u3002[12][13][14][15][16]\n\n\n\n
\u3053\u3053\u307e\u3067\u304c\u300c\u306a\u305c\u305d\u3046\u3059\u308b\u304b\u300d\u3068\u300c\u3069\u3046\u8a08\u7b97\u3059\u308b\u304b\u300d\u306e\u9aa8\u5b50\u3067\u3042\u308b\u3002\u6b21\u306b\u3001\u73fe\u5834\u3067\u5f79\u7acb\u3064\u8a2d\u8a08\u3068\u6ce8\u610f\u70b9\u3092\u307e\u3068\u3081\u308b\u3002- \u30d5\u30ec\u30fc\u30e0\u9577\u3068\u5468\u6ce2\u6570\u5206\u89e3\u80fd\uff1a\u77ed\u3044\u30d5\u30ec\u30fc\u30e0\u306f\u6642\u9593\u5909\u5316\u306b\u654f\u611f\u3060\u304c\u5468\u6ce2\u6570\u5206\u89e3\u80fd\u304c\u7c97\u304f\u3001\u9577\u3044\u30d5\u30ec\u30fc\u30e0\u306f\u5206\u89e3\u80fd\u304c\u7d30\u304b\u3044\u304c\u6642\u9593\u306e\u5e73\u5747\u304c\u9032\u3080\u3002\u76ee\u7684\u306b\u5fdc\u3058\u3066\u30d0\u30e9\u30f3\u30b9\u3092\u53d6\u308b\uff08STFT\u3068\u540c\u3058\u57fa\u672c\u539f\u7406\uff09\u3002- \u30d5\u30a3\u30eb\u30bf\u6570\u3068\u4fc2\u6570\u6570\uff1a\u30d0\u30f3\u30af\u306f26\u301c40\u3001\u4fc2\u6570\u306f12\u301c13\uff0b\u30ed\u30b0\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u3044\u3046\u53e4\u5178\u8a2d\u5b9a\u304c\u666e\u53ca\u3057\u3066\u3044\u308b\u304c\u3001\u5b66\u7fd2\u5668\u306e\u6027\u8cea\uff08\u76f8\u95a2\u306b\u5f31\u3044\u304b\u3069\u3046\u304b\uff09\u3084\u8a08\u7b97\u8cc7\u6e90\u306b\u5408\u308f\u305b\u3066\u8abf\u6574\u3059\u308b\u3002- DCT\u3068\u76f8\u95a2\u306e\u9664\u53bb\uff1a\u30e1\u30eb\u30d5\u30a3\u30eb\u30bf\u51fa\u529b\u306f\u91cd\u306a\u308a\u306e\u305f\u3081\u76f8\u95a2\u304c\u3042\u308b\u304c\u3001DCT\u3067\u76f4\u4ea4\u6210\u5206\u306b\u5206\u3051\u308b\u3053\u3068\u3067\u3001\u5358\u7d14\u306a\u7d71\u8a08\u30e2\u30c7\u30eb\uff08\u5bfe\u89d2\u5171\u5206\u6563\u306a\u3069\uff09\u3068\u76f8\u6027\u304c\u826f\u304f\u306a\u308b\u3001\u3068\u3044\u3046\u6b74\u53f2\u7684\u80cc\u666f\u304c\u3042\u308b\u3002- \u5b9f\u88c5\u306e\u6d41\u5100\u306e\u9055\u3044\uff1aMFCC\u306e\u7d30\u90e8\uff08\u30d5\u30a3\u30eb\u30bf\u6570\u3001\u5e2f\u57df\u3001DCT\u306e\u7a2e\u985e\u3001\u6b63\u898f\u5316\u306a\u3069\uff09\u306f\u5b9f\u88c5\u5dee\u304c\u3042\u308b\u3002\u4ee3\u8868\u7684\u306a\u5b9f\u88c5\u3067\u306f\u300c40\u30d0\u30f3\u30c9\u219213\u4fc2\u6570\u300d\u3084\u300c26\u30d0\u30f3\u30c9\u219213\u4fc2\u6570\u300d\u304c\u4f7f\u308f\u308c\u3001HTK\u4e92\u63db\u306a\u3069\u8a2d\u5b9a\u30d7\u30ea\u30bb\u30c3\u30c8\u304c\u7528\u610f\u3055\u308c\u308b\u3053\u3068\u3082\u591a\u3044\u3002[7][17][10][8][5][6]\n\n\n\n
MFCC\u3068\u985e\u4f3c\u306e\u8868\u73fe\u3068\u3057\u3066\u300c\u30e1\u30eb\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u7279\u5fb4\uff08\u30ed\u30b0\u30e1\u30eb\u30b9\u30da\u30af\u30c8\u30eb\uff09\u300d\u304c\u3042\u308b\u3002\u3053\u3061\u3089\u306f\u300cDCT\u3092\u304b\u3051\u305a\u306b\u30e1\u30eb\u5e2f\u57df\u306e\u5bfe\u6570\u30a8\u30cd\u30eb\u30ae\u30fc\u5217\u3092\u305d\u306e\u307e\u307e\u4f7f\u3046\u300d\u3082\u306e\u3067\u3001\u8fd1\u5e74\u306e\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u3067\u306f\u3001\u76f8\u95a2\u304c\u3042\u3063\u3066\u3082\u30e2\u30c7\u30eb\u5074\u3067\u6271\u3048\u308b\u305f\u3081\u30ed\u30b0\u30e1\u30eb\u3092\u76f4\u63a5\u5165\u529b\u3059\u308b\u9078\u629e\u3082\u5897\u3048\u3066\u3044\u308b\u3002\u4e00\u65b9\u3067\u3001\u76f8\u95a2\u306b\u5f31\u3044\u30e2\u30c7\u30eb\u3084\u53e4\u5178\u7684\u306a\u7d71\u8a08\u30e2\u30c7\u30eb\u3067\u306f\u3001MFCC\u3067\u76f8\u95a2\u3092\u6e1b\u3089\u3059\u65b9\u304c\u6271\u3044\u3084\u3059\u3044\u3001\u3068\u3044\u3046\u6574\u7406\u304c\u793a\u3055\u308c\u3066\u3044\u308b\u3002[5]\n\n\n\n
\u6545\u969c\u4e88\u77e5\u306e\u89b3\u70b9\u3067\u306f\u3069\u3046\u6d3b\u304b\u3059\u304b\u3002- \u5468\u6ce2\u6570\u5305\u7d61\u306e\u9055\u3044\u3092\u6349\u3048\u308b\uff1a\u7570\u5e38\u97f3\u306f\u3001\u7279\u5b9a\u5e2f\u57df\u306e\u81a8\u3089\u307f\u3084\u5168\u4f53\u306e\u50be\u304d\u306e\u5909\u5316\u3068\u3057\u3066\u8868\u308c\u308b\u3053\u3068\u304c\u591a\u3044\u3002MFCC\u306f\u4f4e\u6b21\u4fc2\u6570\u306b\u5305\u7d61\u60c5\u5831\u304c\u96c6\u7d04\u3055\u308c\u308b\u305f\u3081\u3001\u6b63\u5e38\u3068\u7570\u5e38\u306e\u5dee\u3092\u5c11\u306a\u3044\u6b21\u5143\u3067\u8868\u3057\u3084\u3059\u3044\u3002- \u6642\u9593\u5909\u5316\u306e\u8ffd\u8de1\uff1a\u30c7\u30eb\u30bf\u30fb\u30c7\u30eb\u30bf\u30c7\u30eb\u30bf\u3092\u52a0\u3048\u308b\u3068\u3001\u7570\u5e38\u51fa\u73fe\u6642\u306e\u7acb\u3061\u4e0a\u304c\u308a\u3084\u5468\u671f\u5909\u52d5\u306e\u5909\u5316\u3092\u654f\u611f\u306b\u62fe\u3048\u308b\u304c\u3001\u5dee\u5206\u306f\u30ce\u30a4\u30ba\u306b\u5f31\u304f\u306a\u308a\u304c\u3061\u306a\u306e\u3067\u3001\u5e73\u6ed1\u5316\u3084\u5341\u5206\u306a\u30d5\u30ec\u30fc\u30e0\u8a2d\u5b9a\u3067\u5b89\u5b9a\u5316\u3092\u56f3\u308b\u3002- \u30ed\u30b0\u30e1\u30eb\u3068\u306e\u6bd4\u8f03\u904b\u7528\uff1a\u30c7\u30a3\u30fc\u30d7\u30e9\u30fc\u30cb\u30f3\u30b0\u3092\u7528\u3044\u308b\u5834\u5408\u306f\u3001\u30ed\u30b0\u30e1\u30eb\u3092\u753b\u50cf\u306e\u3088\u3046\u306b\u5165\u529b\u3059\u308b\u8a2d\u8a08\u3082\u5f37\u529b\u3067\u3001MFCC\u3068\u30ed\u30b0\u30e1\u30eb\u3092\u4e21\u65b9\u8a66\u3057\u3066\u3001\u7cbe\u5ea6\u3068\u8a08\u7b97\u91cf\u30fb\u89e3\u91c8\u6027\u306e\u6298\u308a\u5408\u3044\u3067\u9078\u3076\u306e\u304c\u73fe\u5b9f\u7684\u3067\u3042\u308b\u3002[3][16][17][1][12][5]\n\n\n\n
\u5b9f\u52d9\u306e\u624b\u9806\u4f8b\u3092\u7c21\u6f54\u306b\u793a\u3059\u30021) \u9332\u97f3\uff08\u9069\u5207\u306a\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3001\u904e\u5927\u5165\u529b\u56de\u907f\uff09\u2192\u77ed\u6642\u9593\u30d5\u30ec\u30fc\u30df\u30f3\u30b0\u2192\u5404\u30d5\u30ec\u30fc\u30e0\u306b\u7a93\uff08\u4f8b\uff1a\u30cf\u30f3\uff09\u3092\u9069\u7528\u3057STFT\u3067\u30d1\u30ef\u30fc\u30b9\u30da\u30af\u30c8\u30eb\u306b\u3059\u308b\u30022) \u30e1\u30eb\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\uff08\u4f8b\uff1a40\u30d0\u30f3\u30c9\uff09\u3067\u5e2f\u57df\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u96c6\u8a08\u3057\u3001\u5bfe\u6570\u3092\u53d6\u308b\u30023) DCT\u306713\u4fc2\u6570\u306b\u5727\u7e2e\u3057\u3001\u5fc5\u8981\u306b\u5fdc\u3058\u3066\u30d5\u30ec\u30fc\u30e0\u306e\u5bfe\u6570\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u8ffd\u52a0\u3001\u3055\u3089\u306b\u30c7\u30eb\u30bf\u30fb\u30c7\u30eb\u30bf\u30c7\u30eb\u30bf\u3092\u9023\u7d50\u3059\u308b\uff08\u5408\u8a0839\u6b21\u5143\u306a\u3069\uff09\u30024) \u30d5\u30ec\u30fc\u30e0\u3054\u3068\u306e\u7279\u5fb4\u30d9\u30af\u30c8\u30eb\u5217\u3092\u5b66\u7fd2\u5668\u306b\u5165\u529b\uff08\u53e4\u5178ML\u306a\u30892\u6b21\u5143\u914d\u5217\u3001\u6df1\u5c64\u5b66\u7fd2\u306a\u3089\u6642\u9593\u00d7\u4fc2\u6570\u306e\u30c6\u30f3\u30bd\u30eb\uff09\u3068\u3057\u3001\u30e9\u30d9\u30eb\u3084\u904b\u8ee2\u6761\u4ef6\u3068\u5408\u308f\u305b\u3066\u5b66\u7fd2\u30fb\u8a55\u4fa1\u3092\u884c\u3046\u3002[13][14][17][10][11][7][5]\n\n\n\n
\u6700\u5f8c\u306b\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u8a2d\u8a08\u306e\u6307\u91dd\u3092\u7b87\u6761\u66f8\u304d\u3067\u307e\u3068\u3081\u308b\u3002- \u30d0\u30f3\u30af\u6570\u3068\u5e2f\u57df\uff1a26\u301c40\u306e\u7bc4\u56f2\u3067\u958b\u59cb\u3057\u3001\u5bfe\u8c61\u5e2f\u57df\uff08\u30de\u30a4\u30af\u30fb\u6a5f\u68b0\u306e\u7279\u6027\u3001fs\/2\u306e\u4e0a\u9650\uff09\u306b\u5408\u308f\u305b\u3066\u4e0a\u4e0b\u9650\u3092\u8a2d\u5b9a\u3059\u308b\u3002- \u4fc2\u6570\u306e\u672c\u6570\uff1a12\u301c13\u4fc2\u6570\uff0b\u30ed\u30b0\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u57fa\u672c\u306b\u3001\u5fc5\u8981\u306a\u308920\u4fc2\u6570\u7a0b\u5ea6\u307e\u3067\u62e1\u5f35\u3057\u3066\u6bd4\u8f03\u3059\u308b\uff08\u904e\u5270\u306a\u9ad8\u6b21\u306f\u30ce\u30a4\u30ba\u611f\u5ea6\u304c\u4e0a\u304c\u308b\uff09\u3002- \u30c7\u30eb\u30bf\u8a2d\u5b9a\uff1a\u7a93\u5e452\u524d\u5f8c\u3067\u4e00\u6b21\u30fb\u4e8c\u6b21\u5dee\u5206\u3092\u4ed8\u4e0e\u3057\u300139\u6b21\u5143\u69cb\u6210\u3092\u307e\u305a\u8a66\u3059\uff08\u5dee\u5206\u306f\u30ce\u30a4\u30ba\u306b\u5f31\u3044\u305f\u3081\u3001\u524d\u51e6\u7406\u3084\u5e73\u5747\u5316\u3067\u5b89\u5b9a\u5316\uff09\u3002- \u5b9f\u88c5\u5dee\u306e\u78ba\u8a8d\uff1aDCT\u306e\u7a2e\u985e\u3001\u6b63\u898f\u5316\u3001\u30d5\u30a3\u30eb\u30bf\u306e\u5b9a\u7fa9\uff08HTK\u5f0f\u306a\u3069\uff09\u306f\u5b9f\u88c5\u5dee\u304c\u3042\u308b\u305f\u3081\u3001\u30c4\u30fc\u30eb\u306e\u4ed5\u69d8\u3092\u660e\u793a\u3057\u3066\u518d\u73fe\u6027\u3092\u78ba\u4fdd\u3059\u308b\u3002- \u4ee3\u66ff\u8868\u73fe\u306e\u691c\u8a0e\uff1a\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u524d\u63d0\u306a\u3089\u3001\u30ed\u30b0\u30e1\u30eb\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u7279\u5fb4\u3092\u76f4\u63a5\u5165\u529b\u3059\u308b\u6848\u3082\u6bd4\u8f03\u3057\u3001\u76f8\u95a2\u306e\u6271\u3044\u3084\u5b66\u7fd2\u306e\u53ce\u675f\u6027\u3067\u9078\u3076\u3002[17][10][6][7][12][13][5]\n\n\n\n
MFCC\u306f\u3001\u300c\u8033\u306b\u8fd1\u3044\u5e2f\u57df\u306e\u307e\u3068\u3081\u65b9\u300d\u3068\u300c\u76f8\u95a2\u3092\u307b\u3069\u304f\u5727\u7e2e\uff08DCT\uff09\u300d\u3068\u3044\u3046\u4e8c\u3064\u306e\u5de5\u592b\u3067\u3001\u5c11\u306a\u3044\u6b21\u5143\u306b\u672c\u8cea\u7684\u306a\u5dee\u3092\u9589\u3058\u8fbc\u3081\u308b\u8a2d\u8a08\u306b\u306a\u3063\u3066\u3044\u308b\u3002\u6b63\u3057\u304f\u8a2d\u5b9a\u3059\u308c\u3070\u3001\u97f3\u58f0\u3060\u3051\u3067\u306a\u304f\u6a5f\u68b0\u97f3\u306e\u72b6\u614b\u8b58\u5225\u3084\u7570\u5e38\u691c\u77e5\u3067\u3082\u3001\u5b89\u5b9a\u3057\u3066\u52b9\u304f\u201c\u7b2c\u4e00\u9078\u629e\u201d\u306e\u7279\u5fb4\u91cf\u3067\u3042\u308b\u3002[2][4][1]\n\n\n\n[1] https:\/\/en.wikipedia.org\/wiki\/Mel-frequency_cepstrum<\/p>\n\n\n\n[2] https:\/\/www.sciencedirect.com\/topics\/computer-science\/mel-frequency-cepstral-coefficient<\/p>\n\n\n\n[3] https:\/\/speechprocessingbook.aalto.fi\/Representations\/Melcepstrum.html<\/p>\n\n\n\n[4] https:\/\/www.geeksforgeeks.org\/nlp\/mel-frequency-cepstral-coefficients-mfcc-for-speech-recognition\/<\/p>\n\n\n\n[5] https:\/\/haythamfayek.com\/2016\/04\/21\/speech-processing-for-machine-learning.html<\/p>\n\n\n\n[6] https:\/\/essentia.upf.edu\/reference\/streaming_MFCC.html<\/p>\n\n\n\n[7] http:\/\/practicalcryptography.com\/miscellaneous\/machine-learning\/guide-mel-frequency-cepstral-coefficients-mfccs\/<\/p>\n\n\n\n[8] https:\/\/privacycanada.net\/mel-frequency-cepstral-coefficient\/<\/p>\n\n\n\n[9] https:\/\/www.ideas2it.com\/blogs\/mfcc-stft-from-audio-data<\/p>\n\n\n\n[10] https:\/\/www.mathworks.com\/help\/audio\/ref\/mfcc.html<\/p>\n\n\n\n[11] https:\/\/jp.mathworks.com\/help\/audio\/feature-extraction.html<\/p>\n\n\n\n[12] https:\/\/speechprocessingbook.aalto.fi\/Representations\/Deltas_and_Delta-deltas.html<\/p>\n\n\n\n[13] http:\/\/www.jatit.org\/volumes\/Vol79No1\/5Vol79No1.pdf<\/p>\n\n\n\n[14] https:\/\/ijarse.com\/images\/fullpdf\/1472553022_P518-819.pdf<\/p>\n\n\n\n[15] https:\/\/desh2608.github.io\/2019-07-26-delta-feats\/<\/p>\n\n\n\n[16] https:\/\/arxiv.org\/pdf\/2112.07940.pdf<\/p>\n\n\n\n[17] https:\/\/mac.kaist.ac.kr\/~juhan\/gct634\/2021-Fall\/Slides\/%5Bweek2-1%5D%20audio%20feature%20extraction.pdf<\/p>\n\n\n\n[18] https:\/\/arxiv.org\/pdf\/1410.6903.pdf<\/p>\n\n\n\n[19] https:\/\/qiita.com\/martin-d28jp-love\/items\/34161f2facb80edd999f<\/p>\n\n\n\n[20] https:\/\/ieeexplore.ieee.org\/document\/8955286\/<\/p>\n\n\n\n
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