{ "paper_id": "O04-1034", "header": { "generated_with": "S2ORC 1.0.0", "date_generated": "2023-01-19T08:00:21.576176Z" }, "title": "", "authors": [], "year": "", "venue": null, "identifiers": {}, "abstract": "", "pdf_parse": { "paper_id": "O04-1034", "_pdf_hash": "", "abstract": [], "body_text": [ { "text": "EQUATION", "cite_spans": [], "ref_spans": [], "eq_spans": [ { "start": 0, "end": 8, "text": "EQUATION", "ref_id": "EQREF", "raw_str": "\u2211 \u2212 = + = 1 0 1 N n ) k n ( x ) n ( x N ) k ( R , max min k ,..., k k =", "eq_num": "(1)" } ], "section": "", "sec_num": null }, { "text": "\u2211 \u2212 = + \u2212 = 1 0 1 N n ) k n ( x ) n ( x N ) k ( M , max min k ,..., k k = (2) \u5176\u4e2d ) (n x \u8868\u793a\u8a9e\u97f3\u4fe1\u865f\u6a23\u672c\uff0cN \u8868\u793a\u4e00\u500b\u97f3\u6846\u5167\u7684\u6a23\u672c\u9ede\u6578\uff0ck \u8868\u793a\u53ef\u80fd\u7684\u57fa\u9031\u9577\u5ea6\u4e4b \u9ede\u6578\u3002\u6211\u5011\u5148\u8a2d\u5b9a\u6700\u4f4e\u53ca\u6700\u9ad8\u7684\u97f3\u9ad8\u503c\u5206\u5225\u70ba 60 \u53ca 750 \u8d6b\u8332\uff0c\u518d\u64da\u4ee5\u8a2d\u5b9a min k \u53ca max k \u7684\u6578\u503c\u3002\u5728\u516c\u5f0f(1)\u4e2d\uff0c\u7576 0 = k \uff0c ) ( R 0 \u5c31\u662f\u77ed\u6642\u80fd\u91cf\uff0c\u6211\u5011\u4e5f\u8981\u8a08\u7b97\u6b64\u503c\uff0c\u7136\u5f8c\u63a1\u7528 Kim \u7b49\u4eba\u63d0\u51fa\u7684\u5224\u65b7\u898f\u5247[11]\uff0c\u7528\u4ee5\u5224\u65b7\u672c\u97f3\u6846\u5167\u7684\u4fe1\u865f\uff0c\u662f\u7121\u9031\u671f\u6027\u6216\u662f\u6709\u9031\u671f\u6027\u7684 \u4fe1\u865f\uff0c\u5169\u500b\u898f\u5247\u7684\u5167\u5bb9\u662f\uff1a \u898f\u5247(1): if )) k ( R ( Max max min k k k \u2264 \u2264 < ) ( R 0 /4 then not periodic \u898f\u5247(2): if )) k ( M ( Max max min k k k \u2264 \u2264 / )) k ( M ( Min max min k k k \u2264 \u2264 < E then not periodic \u5176\u4e2d E \u70ba\u9580\u6abb\u503c\uff0c\u6211\u5011\u4f9d\u5be6\u9a57\u7684\u7d50\u679c\u8a2d\u5b9a\u5176\u503c\u70ba 2.1\u3002\u901a\u904e\u5224\u65b7\u898f\u5247\u5f8c\uff0c\u518d\u53bb\u8a08\u7b97\u57fa\u9031 \u6578\u503c\uff0c\u8a08\u7b97\u65b9\u5f0f\u5982\u4e0b[11]\uff1a ) ) k ( M ) k ( R ( Max , f max min k k k 1 050 22 + = \u2264 \u2264 (3) \u5176\u4e2d 22,050 \u662f\u53d6\u6a23\u7387\u3002 2.2 \u97f3\u9577\u6b63\u898f\u5316 \u6bcf\u500b\u4eba\u8b1b\u8a71\u7684\u901f\u5ea6\uff0c\u6216\u540c\u4e00\u4eba\u5728\u4e0d\u540c\u6642\u9593\u7684\u8aaa\u8a71\u901f\u5ea6\u90fd\u6703\u4e0d\u76f8\u540c\uff0c\u5c0e\u81f4\u97f3\u7bc0\u5167\u6709\u8072 \u97f3\u6846\u7684\u6578\u91cf\u4e5f\u5448\u73fe\u51fa\u6709\u7684\u8f03\u591a\u6709\u7684\u8f03\u5c11\uff0c\u4f46\u662f\u70ba\u4e86\u65b9\u4fbf\u4f5c\u97f3\u9ad8\u6b63\u898f\u5316\u4e4b\u8655\u7406\uff0c\u6240\u4ee5\u5728\u6b64 \u5148\u4f5c\u97f3\u9577\u6b63\u898f\u5316\uff0c\u4ee5\u4fbf\u7528\u56fa\u5b9a 16 \u7dad(dimensions)\u4e4b\u983b\u7387\u5411\u91cf\u4f86\u8868\u793a\u4e00\u500b\u97f3\u7bc0\u7684\u57fa\u9031\u8ecc\u8de1\u3002 \u6211\u5011\u7684\u4f5c\u6cd5\u662f\uff0c\u5728\u6642\u9593\u8ef8\u4e0a\u5747\u52fb\u653e\u7f6e 16 \u500b\u97f3\u9ad8\u4e4b\u53d6\u6a23\u9ede\uff0c\u7136\u5f8c\u4ee5\u5167\u5dee\u7684\u65b9\u5f0f\u4f86\u6c42 \u51fa\u5404\u9ede\u4e0a\u7684\u97f3\u9ad8\u3002\u8a2d\u672c\u6b21\u5206\u6790\u7684\u97f3\u7bc0\u88e1\u6709 NF \u500b\u6709\u9031\u671f\u6027\u4e4b\u97f3\u6846\uff0c\u5247\u7b2c k \u500b\u97f3\u9ad8\u53d6\u6a23\u9ede \u653e\u7f6e\u7684\u6642\u9593\u4f4d\u7f6e(\u4ee5\u97f3\u6846\u70ba\u55ae\u4f4d)\u662f\uff1a 15 0 1 16 1 ..., , k , k NF t k = \u00d7 \u2212 \u2212 = (4) \u4ee5\u5716 2 \u70ba\u4f8b\uff0c\u8a2d\u6642\u523b t k \u6642\u7684\u97f3\u9ad8\u503c g k \u662f\u6240\u8981\u6c42\u53d6\u7684\uff0c\u5247\u6211\u5011\u53ef\u53d6 t k \u524d\u5f8c\u5404\u5169\u500b\u97f3\u6846\u6240 \u91cf\u6e2c\u51fa\u7684\u97f3\u9ad8\u503c\u4f86\u4f5c Lagrange \u5167\u5dee\uff0c\u800c\u6c42\u5f97 g k \u7684\u503c\u3002\u5be6\u4f5c\u4e0a\uff0c\u4ee4\u5716 2 \u88e1\u7684 i \u8868\u793a\u7b2c i \u500b\u97f3\u6846\uff0c\u5b83\u7684\u503c\u7531 t k \u6c7a\u5b9a\uff0c\u5373 i = \uf8f0t k \uf8fb -1 (\u53d6\u6574\u6578\u5f8c\u6e1b 1)\uff0c\u82e5 i \u7684\u503c\u5c0f\u65bc 0\uff0c\u5247\u6539\u8a2d i \u7684 \u503c\u70ba 0\uff1b f i \u8868\u793a\u7b2c i \u500b\u97f3\u6846\u5167\u91cf\u5f97\u7684\u97f3\u9ad8\u503c\uff1b\u63a5\u8457\u4f7f\u7528\u5982\u4e0b\u4e4b Lagrange \u5167\u5dee\u516c\u5f0f[12] i i+1 i+2 i+3 f i f i+1 f i+2 f i+3 t k g k \u5716 2 \u97f3\u9ad8\u5167\u5dee\u793a\u610f\u5716 time \u4f86\u6c42 g k \u4e4b\u503c\uff1a \u2211 = + \u22c5 = 3 0 n n i k n k f ) t ( L g , ) i j ( ) i n ( ) i j ( t ) t ( L n j j n + \u2212 + + \u2212 \u03a0 = \u2260 = 3 0 (5) \u5176\u4e2d i \u5c31\u662f\u5716 2 \u88e1\u7531 t k \u6c7a\u5b9a\u4e4b i \u503c\u3002 3. \u97f3\u9ad8\u6b63\u898f\u5316 \u6c42\u51fa\u4e00\u500b\u97f3\u7bc0\u7684 16 \u9ede\u6642\u9593\u6b63\u898f\u5316\u4e4b\u57fa\u9031\u8ecc\u8de1 g 0 , g 1 , \u2026, g 15 \u5f8c\uff0c\u63a5\u8457\u5c31\u5c07\u97f3\u9ad8\u503c \u8f49\u63db\u81f3\u5c0d\u6578\u5c3a\u5ea6\uff0c\u5373\u4ee4 h k = log 10 (g k ), k=0, \u2026,", "cite_spans": [], "ref_spans": [], "eq_spans": [], "section": "", "sec_num": null } ], "back_matter": [], "bib_entries": { "BIBREF0": { "ref_id": "b0", "title": "Hidden Markov Model for Mandarin Lexical Tone Recognition", "authors": [ { "first": "W", "middle": [ "J" ], "last": "Yan", "suffix": "" }, { "first": "J", "middle": [ "C" ], "last": "Lee", "suffix": "" }, { "first": "Y", "middle": [ "C" ], "last": "Chang", "suffix": "" }, { "first": "H", "middle": [ "C" ], "last": "Wang", "suffix": "" } ], "year": 1988, "venue": "IEEE trans. 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