{"id":54884,"date":"2025-08-13T12:29:42","date_gmt":"2025-08-13T04:29:42","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/54884.html"},"modified":"2025-08-13T12:29:42","modified_gmt":"2025-08-13T04:29:42","slug":"%e3%80%90%e5%be%ae%e5%ae%9e%e9%aa%8c%e3%80%91%e5%a6%88%e5%a6%88%e6%88%91%e7%9a%84matlab%e4%bc%9a%e8%af%86%e5%88%ab%e5%a3%b0%e9%9f%b3%e7%9a%84%e5%9f%ba%e9%a2%91%e4%ba%86%ef%bc%81","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/54884.html","title":{"rendered":"\u3010\u5fae\u5b9e\u9a8c\u3011\u5988\u5988\u6211\u7684MATLAB\u4f1a\u8bc6\u522b\u58f0\u97f3\u7684\u57fa\u9891\u4e86\uff01"},"content":{"rendered":"<h3>\u00a0\u524d\u60c5\u63d0\u8981&#xff1a;<\/h3>\n<p>\u3010\u8d85\u8be6\u7ec6\u3011\u79d1\u666e&#xff1a;\u522b\u518d\u53ea\u4f1a\u7528\u81ea\u76f8\u5173&#xff01;YIN \u548c PYIN \u5982\u4f55\u7834\u89e3\u97f3\u9891\u9690\u85cf\u5bc6\u7801&#xff1f;-CSDN\u535a\u5ba2<\/p>\n<p>\u4eca\u5929\u7528MATLAB\u5b9e\u73b0YIN\u7b97\u6cd5\u2014\u2014<\/p>\n<p>\u00a0\u5b83\u662f\u4e00\u79cd\u7ecf\u5178\u7684\u57fa\u9891&#xff08;F0&#xff09;\u63d0\u53d6\u7b97\u6cd5&#xff0c;\u901a\u8fc7\u8ba1\u7b97\u4fe1\u53f7\u7684\u81ea\u76f8\u5173\u51fd\u6570\u53ca\u5176\u7d2f\u79ef\u5747\u503c\u5f52\u4e00\u5316&#xff0c;\u6765\u5b9a\u4f4d\u57fa\u9891\u5468\u671f&#xff0c;\u9002\u7528\u4e8e\u8bed\u97f3\u3001\u4e50\u5668\u7b49\u4fe1\u53f7\u7684\u57fa\u9891\u68c0\u6d4b&#xff0c;\u5177\u6709\u8f83\u597d\u7684\u6297\u566a\u58f0\u6027\u80fd\u3002\u5148\u6765\u770bYIN&#xff0c;\u8fd9\u91cc&#xff0c;\u7b14\u8005\u5728Cubase\u4e2d\u5bfc\u51fa\u4e86\u7ba1\u5b50\u5439\u594f\u5355\u97f3\u7684\u97f3\u9891\u6587\u4ef6\u3002<\/p>\n<h3>\u5e9f\u8bdd\u4e0d\u8bf4&#xff0c;\u4ee3\u7801\u5982\u4e0b&#xff1a;<\/h3>\n<p>clear; clc; close all;<br \/>\n[audio, Fs] &#061; audioread(&#039;\u7ba1\u5b50.wav&#039;);  % \u66ff\u6362\u4e3a\u4f60\u7684\u97f3\u9891\u6587\u4ef6<br \/>\naudio &#061; audio(:,1);  % \u53d6\u5355\u58f0\u9053<br \/>\nt_total &#061; (0:length(audio)-1)\/Fs;  % \u603b\u65f6\u95f4\u8f74<\/p>\n<p>% \u9009\u53d6\u4e00\u6bb5\u8bed\u97f3\u5e27&#xff08;\u907f\u514d\u9759\u97f3&#xff0c;\u53d6\u4e2d\u95f4\u6709\u6548\u90e8\u5206&#xff09;<br \/>\nframe_len &#061; 2048;  % \u5e27\u957f&#xff08;\u5efa\u8bae\u53d6\u91c7\u6837\u7387\u76841\/10~1\/5&#xff0c;\u598216kHz\u5bf9\u5e942048&#xff09;<br \/>\nstart_idx &#061; round(0.3*length(audio));  % \u8d77\u59cb\u7d22\u5f15<br \/>\nx &#061; audio(start_idx:start_idx&#043;frame_len-1);  % \u622a\u53d6\u4e00\u5e27\u4fe1\u53f7<br \/>\nt_frame &#061; (0:frame_len-1)\/Fs;  % \u8be5\u5e27\u65f6\u95f4\u8f74<\/p>\n<p>% \u53ef\u89c6\u53161&#xff1a;\u539f\u59cb\u97f3\u9891\u5e27\u6ce2\u5f62<br \/>\nfigure(&#039;Name&#039;,&#039;\u6b65\u9aa41&#xff1a;\u539f\u59cb\u97f3\u9891\u5e27&#039;);<br \/>\nplot(t_frame, x, &#039;LineWidth&#039;,1.2);<br \/>\nxlabel(&#039;\u65f6\u95f4 (s)&#039;); ylabel(&#039;\u632f\u5e45&#039;);<br \/>\ntitle(&#039;\u5f85\u5206\u6790\u7684\u97f3\u9891\u5e27\u6ce2\u5f62&#039;); grid on;<\/p>\n<p>% \u6b65\u9aa42&#xff1a;\u8ba1\u7b97\u5dee\u5206\u51fd\u6570d(tao)<br \/>\nmax_lag &#061; floor(frame_len\/2);  % \u6700\u5927\u6ede\u540etao&#xff08;\u4e0d\u8d85\u8fc7\u5e27\u957f\u4e00\u534a&#xff09;<br \/>\nd &#061; zeros(1, max_lag);         % \u5dee\u5206\u51fd\u6570\u7ed3\u679c<\/p>\n<p>for tao &#061; 1:max_lag<br \/>\n    % \u5dee\u5206\u51fd\u6570&#xff1a;d(tao) &#061; sum_{n&#061;0}^{N-tao-1} (x(n) &#8211; x(n&#043;tao))^2<br \/>\n    d(tao) &#061; sum( (x(1:end-tao) &#8211; x(1&#043;tao:end)).^2 );<br \/>\nend<\/p>\n<p>% \u53ef\u89c6\u53162&#xff1a;\u5dee\u5206\u51fd\u6570\u66f2\u7ebf<br \/>\ntao_axis &#061; 1:max_lag;  % \u6ede\u540etao\u8f74<br \/>\nfigure(&#039;Name&#039;,&#039;\u6b65\u9aa42&#xff1a;\u5dee\u5206\u51fd\u6570d(tao)&#039;);<br \/>\nplot(tao_axis, d, &#039;b&#039;, &#039;LineWidth&#039;,1.2);<br \/>\nxlabel(&#039;\u6ede\u540etao (\u91c7\u6837\u70b9)&#039;); ylabel(&#039;d(tao)&#039;);<br \/>\ntitle(&#039;\u5dee\u5206\u51fd\u6570&#xff08;\u4fe1\u53f7\u5dee\u5f02\u7d2f\u79ef&#xff09;&#039;); grid on;<\/p>\n<p>% \u6b65\u9aa43&#xff1a;\u8ba1\u7b97\u7d2f\u79ef\u5e73\u5747\u5f52\u4e00\u5316\u5dee\u5206\u51fd\u6570&#xff08;CMNDF&#xff09;<br \/>\ncmndf &#061; zeros(1, max_lag);<br \/>\ncmndf(1) &#061; 1;  % tao&#061;0\u5904\u5b9a\u4e49\u4e3a1&#xff08;\u907f\u514d\u9664\u4ee50&#xff09;<\/p>\n<p>for tao &#061; 2:max_lag<br \/>\n    % \u5f52\u4e00\u5316&#xff1a;cmndf(tao) &#061; d(tao) \/ ( (1\/tao) * sum_{j&#061;1}^tao d(j) )<br \/>\n    cmndf(tao) &#061; d(tao) \/ ( (1\/tao) * sum(d(1:tao)) );<br \/>\nend<\/p>\n<p>% \u53ef\u89c6\u53163&#xff1a;CMNDF\u66f2\u7ebf<br \/>\nfigure(&#039;Name&#039;,&#039;\u6b65\u9aa43&#xff1a;\u7d2f\u79ef\u5e73\u5747\u5f52\u4e00\u5316\u5dee\u5206\u51fd\u6570&#xff08;CMNDF&#xff09;&#039;);<br \/>\nplot(tao_axis, cmndf, &#039;r&#039;, &#039;LineWidth&#039;,1.2);<br \/>\nxlabel(&#039;\u6ede\u540etao (\u91c7\u6837\u70b9)&#039;); ylabel(&#039;CMNDF(tao)&#039;);<br \/>\ntitle(&#039;\u5f52\u4e00\u5316\u5dee\u5206\u51fd\u6570&#xff08;\u6d88\u9664\u5e45\u5ea6\u5f71\u54cd&#xff09;&#039;); grid on;<\/p>\n<p>% \u6b65\u9aa44&#xff1a;\u9608\u503c\u68c0\u6d4b\u4e0e\u57fa\u9891\u5468\u671f\u5b9a\u4f4d<br \/>\nthreshold &#061; 0.1;  % \u9608\u503c&#xff08;\u901a\u5e38\u53d60.1~0.2&#xff0c;\u53ef\u6839\u636e\u4fe1\u53f7\u8c03\u6574&#xff09;<br \/>\nvalid_tao &#061; find(cmndf &lt; threshold);  % \u627e\u5230\u6240\u6709\u5c0f\u4e8e\u9608\u503c\u7684tao<\/p>\n<p>if isempty(valid_tao)<br \/>\n    % \u82e5\u65e0\u6709\u6548tao&#xff0c;\u53d6\u6700\u5c0fCMNDF\u5bf9\u5e94\u7684tao<br \/>\n    [~, min_idx] &#061; min(cmndf);<br \/>\n    f0_period &#061; min_idx;<br \/>\nelse<br \/>\n    % \u53d6\u7b2c\u4e00\u4e2a\u5c0f\u4e8e\u9608\u503c\u7684tao\u4f5c\u4e3a\u57fa\u9891\u5468\u671f<br \/>\n    f0_period &#061; valid_tao(1);<br \/>\nend<\/p>\n<p>% \u53ef\u89c6\u53164&#xff1a;\u6807\u8bb0\u57fa\u9891\u5468\u671f\u5728CMNDF\u4e0a\u7684\u4f4d\u7f6e<br \/>\nfigure(&#039;Name&#039;,&#039;\u6b65\u9aa44&#xff1a;\u57fa\u9891\u5468\u671f\u68c0\u6d4b\u7ed3\u679c&#039;);<br \/>\nplot(tao_axis, cmndf, &#039;r&#039;, &#039;LineWidth&#039;,1.2);<br \/>\nhold on;<br \/>\nplot(f0_period, cmndf(f0_period), &#039;ko&#039;, &#039;MarkerSize&#039;,8, &#039;MarkerFaceColor&#039;,&#039;g&#039;);<br \/>\nline([0 max_lag], [threshold threshold], &#039;Color&#039;,&#039;k&#039;, &#039;Linestyle&#039;,&#039;&#8211;&#039;);<br \/>\ntext(max_lag*0.7, threshold&#043;0.05, [&#039;\u9608\u503c &#061; &#039;, num2str(threshold)], &#039;Color&#039;,&#039;k&#039;);<br \/>\nxlabel(&#039;\u6ede\u540etao (\u91c7\u6837\u70b9)&#039;); ylabel(&#039;CMNDF(tao)&#039;);<br \/>\ntitle([&#039;\u57fa\u9891\u5468\u671f\u5b9a\u4f4d&#xff1a;tao &#061; &#039;, num2str(f0_period), &#039; \u91c7\u6837\u70b9&#039;]);<br \/>\ngrid on; hold off;<\/p>\n<p>% \u6b65\u9aa45&#xff1a;\u8ba1\u7b97\u57fa\u9891\u5e76\u53ef\u89c6\u5316\u7ed3\u679c<br \/>\nf0 &#061; Fs \/ f0_period;  % \u57fa\u9891 &#061; \u91c7\u6837\u7387 \/ \u5468\u671f&#xff08;Hz&#xff09;<\/p>\n<p>% \u53ef\u89c6\u53165&#xff1a;\u539f\u59cb\u4fe1\u53f7\u4e0e\u57fa\u9891\u6807\u6ce8<br \/>\nfigure(&#039;Name&#039;,&#039;\u6700\u7ec8\u7ed3\u679c&#xff1a;\u57fa\u9891\u503c&#039;);<br \/>\nplot(t_frame, x, &#039;LineWidth&#039;,1.2);<br \/>\nxlabel(&#039;\u65f6\u95f4 (s)&#039;); ylabel(&#039;\u632f\u5e45&#039;);<br \/>\ntitle([&#039;\u57fa\u9891\u68c0\u6d4b\u7ed3\u679c&#xff1a;&#039;, num2str(round(f0,1)), &#039; Hz&#039;]);<br \/>\ntext(t_frame(end)*0.7, max(x)*0.8, [&#039;F0 &#061; &#039;, num2str(round(f0,1)), &#039; Hz&#039;], &#8230;<br \/>\n    &#039;BackgroundColor&#039;,&#039;y&#039;, &#039;FontWeight&#039;,&#039;bold&#039;);<br \/>\ngrid on;<\/p>\n<p>% \u8f93\u51fa\u7ed3\u679c<br \/>\ndisp([&#039;\u68c0\u6d4b\u5230\u7684\u57fa\u9891&#xff1a;&#039;, num2str(round(f0,1)), &#039; Hz&#039;]);<br \/>\ndisp([&#039;\u5bf9\u5e94\u7684\u5468\u671f&#xff1a;&#039;, num2str(f0_period), &#039; \u91c7\u6837\u70b9&#xff08;&#039;, num2str(f0_period\/Fs*1000,2), &#039; ms&#xff09;&#039;]); <\/p>\n<h3>\u4ee3\u7801\u6548\u679c\u5c55\u793a&#xff1a;<\/h3>\n<p>\u8fd9\u662f\u539f\u59cb\u6ce2\u5f62\u2014\u2014<\/p>\n<p> <img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"305\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250813042939-689c14b35f7bb.png\" width=\"1754\" \/> <\/p>\n<p>  \u7ba1\u5b50\u5439\u594f\u97f3\u8272\u7684\u6ce2\u5f62<\/p>\n<p>\u5dee\u5206\u51fd\u6570\u8fd9\u91cc&#xff0c;\u5bf9\u5e94\u7740\u201c\u505a\u51cf\u6cd5\u201d&#xff0c;\u56e0\u4e3a\u8fd9\u4e00\u6bb5\u97f3\u9891\u7684\u57fa\u9891\u662f\u4e00\u81f4\u7684&#xff0c;\u56e0\u6b64\u5dee\u5206\u51fd\u6570\u6bcf\u4e2a\u5cf0\u548c\u8c37\u7684\u5f62\u72b6\u975e\u5e38\u7c7b\u4f3c&#xff0c;\u53ea\u662f\u9ad8\u4f4e\u4e0d\u540c\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"621\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250813042940-689c14b45152a.png\" width=\"686\" \/><\/p>\n<p>\u5f52\u4e00\u5316&#xff0c;\u6d88\u9664\u5e45\u5ea6\u7684\u5f71\u54cd&#xff0c;\u540c\u4e8b\u8ba9\u96f6\u70b9\u5904\u4e0d\u518d\u662f\u8c37\u503c<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"511\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250813042940-689c14b4a8918.png\" width=\"801\" \/><\/p>\n<p>\u8bbe\u5b9a\u9608\u503c0.1&#xff0c;\u63d0\u53d6\u7b2c\u4e00\u4e2a\u8c37\u503c\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"442\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250813042941-689c14b504f58.png\" width=\"557\" \/><\/p>\n<p>\u5f97\u5230\u68c0\u6d4b\u7ed3\u679c&#xff1a;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"104\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250813042941-689c14b545f41.png\" width=\"489\" 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