{"id":3210,"date":"2024-03-11T23:46:54","date_gmt":"2024-03-11T15:46:54","guid":{"rendered":"http:\/\/khsci.com\/docs\/?p=3210"},"modified":"2024-04-07T21:34:04","modified_gmt":"2024-04-07T13:34:04","slug":"emdsica","status":"publish","type":"post","link":"https:\/\/www.khsci.com\/docs\/index.php\/2024\/03\/11\/emdsica\/","title":{"rendered":"VMD-ICA\u6ee4\u6ce2\u7b97\u6cd5"},"content":{"rendered":"\n

\u4e00\u3001\u4ee3\u7801\u8fd0\u884c\u73af\u5883<\/strong><\/h4>\n\n\n\n

\u7406\u8bba\u4e0aMATLAB2016\u4ee5\u4e0a\u53ef\u4ee5\u4f7f\u7528\uff0c\u63a8\u8350\u4f7f\u7528MATLAB2020a\u53ca\u66f4\u65b0\u7248\u672c\u3002<\/p>\n\n\n\n

\u4e8c\u3001\u7a0b\u5e8f\u4ecb\u7ecd<\/strong><\/h4>\n\n\n
\n
\"\"<\/figure><\/div>\n\n\n

\u6ce8\uff1a\u56fe\u6807\u4ee3\u8868\u8be5m\u6587\u4ef6\u4e3a\u811a\u672c\u6587\u4ef6\uff0c\u53ef\u4ee5\u76f4\u63a5\u8fd0\u884c\uff1b\u56fe\u6807\u4ee3\u8868\u51fd\u6570\u6587\u4ef6\uff0c\u5728\u6ca1\u6709\u8f93\u5165\u53d8\u91cf\u7684\u60c5\u51b5\u4e0b\u65e0\u6cd5\u76f4\u63a5\u8fd0\u884c\u3002\u66f4\u8be6\u7ec6\u7684\u89e3\u91ca\u53ef\u4ee5\u770b\u8fd9\u91cc<\/a>\u3002<\/span><\/p>\n\n\n\n

1.<\/strong><\/span>FastICA_25<\/mark><\/strong>\u6587\u4ef6\u5939<\/strong><\/span><\/p>\n\n\n\n

\u7b2c\u4e09\u65b9FastICA\u7684\u5de5\u5177\u7bb1\uff0c\u5728\u8be5\u4ee3\u7801\u4e2d\u8c03\u7528\u3002\u5de5\u5177\u7bb1\u4e2d\u662fFastICA\u7684\u4e00\u4e9b\u5e95\u5c42\u5b9e\u73b0\uff0c\u8be5\u6587\u4ef6\u5939\u4e2d\u7684\u6587\u4ef6\u4e0d\u9700\u8981\u4fee\u6539\u3002\u5f53\u79fb\u690d\u4ee3\u7801\u65f6\uff0c\u8be5\u6587\u4ef6\u5939\u9700\u8981\u968f\u5176\u4ed6\u6587\u4ef6\u4e00\u8d77\u79fb\u690d\u3002<\/p>\n\n\n\n

2.<\/strong><\/span>demoFilEMDsIC<\/b><\/mark>A.m\u6587\u4ef6<\/strong><\/span><\/p>\n\n\n\n

\u8fdb\u884cVMD-ICA\u6ee4\u6ce2\u7684\u811a\u672c\u6587\u4ef6\uff0c\u51fd\u6570filEMDsICA\u7684\u6d4b\u8bd5\u6587\u4ef6\uff0c\u53ef\u4ee5\u76f4\u63a5\u8fd0\u884c\u3002\u8be5\u811a\u672c\u4e2d\u4f7f\u7528\u7684\u662fVMD\u7b97\u6cd5\u8fdb\u884c\u5206\u89e3\uff0c\u5f53\u7136\u4f60\u53ef\u4ee5\u6839\u636e\u9700\u8981\u6362\u6210\u5176\u4ed6\u5206\u89e3\u7a0b\u5e8f\u3002\u7a0b\u5e8f\u8fd0\u884c\u5b8c\u6210\u540e\uff0c\u5728MATLAB\u7684\u5de5\u4f5c\u533a\uff0c\u53cc\u51fbreSig\u53d8\u91cf\uff0c\u53ef\u4ee5\u67e5\u770b\u6ee4\u6ce2\u540e\u7684\u5177\u4f53\u6570\u503c\u3002<\/p>\n\n\n\n

\u8fd0\u884c\u8be5\u6587\u4ef6\uff0c\u5c06\u7ed8\u5236\u4ee5\u4e0b\u56fe\u7247\uff1a<\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

\u52a0\u5165\u566a\u58f0\u524d\u540e\u4fe1\u53f7<\/mark><\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

VMD\u5206\u89e3\u7ed3\u679c<\/mark><\/p>\n\n\n

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\"\"<\/figure><\/div>\n\n\n

VMD\u5206\u89e3\u4e09\u7ef4\u5c55\u5f00\u56fe<\/mark><\/p>\n\n\n

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\"\"<\/figure><\/div>\n\n\n

FastICA\u5206\u89e3\u7ed3\u679c<\/mark><\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

\u6ee4\u6ce2\u6548\u679c\u5bf9\u6bd4\u56fe<\/mark><\/p>\n\n\n\n

\u53e6\u5916\u5728\u547d\u4ee4\u884c\u7a97\u53e3\u5c06\u4f1a\u6253\u5370\uff1a<\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

3.filEMDsICA.m\u6587\u4ef6<\/strong><\/span><\/p>\n\n\n\n

\u4f7f\u7528ICA\u5bf9IMF\u5206\u91cf\u8fdb\u884c\u5904\u7406\uff0c\u5e76\u6839\u636e\u4fe1\u606f\u71b5\u7b5b\u9009\u51fa\u6709\u6548\u5206\u91cf\u8fdb\u884c\u4fe1\u53f7\u91cd\u6784\u3002\u4e3b\u7b97\u6cd5\u6d41\u7a0b\u5168\u90e8\u5c01\u88c5\u5176\u4e2d\u3002\u8be5\u51fd\u6570\u4e2d\u8fd8\u5305\u542b\u4e86\u6c42\u529f\u7387\u8c31\u71b5\u7684\u51fd\u6570kPowerSpectrumEntropy\u548c\u6c42\u4fe1\u606f\u71b5\u51fd\u6570kInformationEntopy\u3002<\/p>\n\n\n\n

\u9700\u6ce8\u610f\u8be5\u51fd\u6570\u6587\u4ef6\u4e0d\u80fd\u76f4\u63a5\u8fd0\u884c\uff0c\u9700\u53c2\u7167demoFilEMDsICA<\/mark><\/strong>\u7684\u6f14\u793a\u6848\u4f8b\u8fdb\u884c\u8c03\u7528\u3002\u6b64\u5916\u9700\u6ce8\u610f\uff0c\u8be5\u51fd\u6570\u4ec5\u5bf9\u4e00\u7ef4\u6570\u636e\u8fdb\u884c\u6ee4\u6ce2\u3002<\/p>\n\n\n\n

function reSig = filEMDsICA(imf)\n% filEMDsICA - \u4f7f\u7528ICA\u5bf9IMF\u5206\u91cf\u8fdb\u884c\u5904\u7406,\u5e76\u6839\u636e\u4fe1\u606f\u71b5\u7b5b\u9009\u51fa\u6709\u6548\u5206\u91cf\u8fdb\u884c\u4fe1\u53f7\u91cd\u6784\n%\n% \u8f93\u5165\u53c2\u6570:\n%   imf - \u7ecf\u8fc7EMD\u5206\u89e3\u5f97\u5230\u7684IMF\u5206\u91cf,\u6bcf\u4e00\u884c\u4e3a\u4e00\u4e2aIMF\u5206\u91cf\n%\n% \u8f93\u51fa\u53c2\u6570:\n%   reSig - \u6ee4\u6ce2\u540e\u7684\u4fe1\u53f7<\/code><\/pre>\n\n\n\n
4.FilterEffectEvaluation.m\u6587\u4ef6<\/strong><\/span><\/p>\n\n\n\n
\u5bf9\u6ee4\u6ce2\u6548\u679c\u8fdb\u884c\u8bc4\u4f30\u3002\u76ee\u524d\u5305\u542b\u7684\u8bc4\u4f30\u6307\u6807\u6709\uff1a\u4fe1\u566a\u6bd4SNR\uff0c\u5747\u65b9\u5deeMSE\uff0c\u6ce2\u5f62\u76f8\u4f3c\u7cfb\u6570NCC\u3002<\/p>\n\n\n\n
function [SNR,MSE,NCC] = FilterEffectEvaluation(ori,fil)\n\n% \u5bf9\u6ee4\u6ce2\u6548\u679c\u8fdb\u884c\u8bc4\u4f30\n% \u76ee\u524d\u5305\u542b\u7684\u8bc4\u4f30\u6307\u6807\u6709\uff1a\u4fe1\u566a\u6bd4SNR\uff0c\u5747\u65b9\u5deeMSE\uff0c\u6ce2\u5f62\u76f8\u4f3c\u7cfb\u6570NCC\n% \u8f93\u5165\uff1a\n% ori\uff1a\u65e0\u566a\u58f0\u7684\u539f\u59cb\u6570\u636e\uff0c\u4e00\u7ef4\u5e8f\u5217\n% fil\uff1a\u6ee4\u6ce2\u540e\u7684\u6570\u636e\uff0c\u4e00\u7ef4\u5e8f\u5217\n% \u8f93\u51fa\uff1a\n% SNR\uff1a\u4fe1\u566a\u6bd4\n% MSE\uff1a\u5747\u65b9\u8bef\u5dee\n% NCC\uff1a\u6ce2\u5f62\u76f8\u4f3c\u7cfb\u6570<\/code><\/pre>\n\n\n\n
5.pFastICA.m\u6587\u4ef6<\/strong><\/span><\/p>\n\n\n\n
\u4f7f\u7528FastICA\u7b97\u6cd5\u5206\u89e3\u6df7\u5408\u4fe1\u53f7\u5e76\u753b\u56fe\u7684\u4ee3\u7801\u3002<\/p>\n\n\n\n
function [icasig, A, W] = pFastICA(mixedsig, numOfIC, g)\n% pFastICA \u4f7f\u7528FastICA\u7b97\u6cd5\u5206\u89e3\u6df7\u5408\u4fe1\u53f7\u5e76\u753b\u56fe\u7684\u4ee3\u7801\n% \u8f93\u5165:\n% mixedsig - \u6df7\u5408\u4fe1\u53f7\u77e9\u9635\uff0c\u6bcf\u884c\u4ee3\u8868\u4e00\u4e2a\u89c2\u6d4b\u503c\uff0c\u6bcf\u5217\u4ee3\u8868\u4e00\u4e2a\u89c2\u6d4b\u70b9\n% numOfIC - \u9700\u8981\u63d0\u53d6\u7684\u72ec\u7acb\u6210\u5206\u6570\u76ee\uff0c\u5982\u679c\u4e0d\u6307\u5b9a\u6570\u76ee\uff0c\u5219\u8f93\u51650\n% g - \u4f7f\u7528\u7684\u975e\u7ebf\u6027\u51fd\u6570\u7c7b\u578b\uff0c\u53ef\u9009'pow3', 'tanh', 'gauss'\n%                       Value of 'g':      Nonlinearity used:\n%                       'pow3' (default)   g(u)=u^3\n%                       'tanh'             g(u)=tanh(a1*u)\n%                       'gauss             g(u)=u*exp(-a2*u^2\/2)\n%\n% \u8f93\u51fa:\n% icasig - \u5206\u89e3\u540e\u7684\u72ec\u7acb\u6210\u5206\u4fe1\u53f7\u77e9\u9635\n% A - \u6df7\u5408\u77e9\u9635\n% W - \u89e3\u6df7\u77e9\u9635\n% icasig = W*mixedsig\n% mixedsig = A*icasig<\/code><\/pre>\n\n\n\n
6.kVMD.m<\/mark><\/strong><\/p>\n\n\n\n
\u6574\u5408\u7248VMD\u51fd\u6570\uff0c\u6574\u5408\u4e86\u7b2c\u4e09\u65b9VMD\u548cMATLAB\u81ea\u5e26\u5de5\u5177\u7bb1\u7684VMD\u5206\u89e3\u65b9\u6cd5\uff0c\u5e76\u4e14\u7edf\u4e00\u8f93\u51fa\u683c\u5f0f\uff0c\u914d\u5408\u540e\u7eed\u8fdb\u884c\u5e0c\u5c14\u4f2f\u7279-\u9ec4\u53d8\u6362\u7b49\u65e0\u7f1d\u8854\u63a5\u3002<\/p>\n\n\n\n
\u51fd\u6570\u53c2\u6570\u8bf4\u660e\uff1a<\/p>\n\n\n\n
function [imf,CenFs]  = kVMD(data,FsOrT, alpha, K, tol)\n% \u6574\u5408\u7248VMD\u51fd\u6570\uff0c\u6574\u5408\u4e86\u7b2c\u4e09\u65b9VMD\u548cMATLAB\u81ea\u5e26\u5de5\u5177\u7bb1\u7684VMD\u5206\u89e3\u65b9\u6cd5\n% \u9ed8\u8ba4\u8bbe\u7f6e\u4e0b\u6309\u7167MATLAB\u81ea\u5e26\u5e93\u8fdb\u884c\n% \u5e76\u4e14\u7edf\u4e00\u8f93\u51fa\u683c\u5f0f\uff0c\u914d\u5408\u540e\u7eed\u8fdb\u884c\u5e0c\u5c14\u4f2f\u7279-\u9ec4\u53d8\u6362\u7b49\u65e0\u7f1d\u8854\u63a5\n% \u8f93\u5165\uff1a\n% data\uff1a\u5f85\u5206\u89e3\u7684\u6570\u636e(\u4e00\u7ef4)\n% FsOrT\uff1a\u91c7\u6837\u9891\u7387\u6216\u91c7\u6837\u65f6\u95f4\u5411\u91cf\uff0c\u5982\u679c\u4e3a\u91c7\u6837\u9891\u7387\uff0c\u8be5\u53d8\u91cf\u8f93\u5165\u5355\u4e2a\u503c\uff1b\u5982\u679c\u4e3a\u65f6\u95f4\u5411\u91cf\uff0c\u8be5\u53d8\u91cf\u4e3a\u4e0ey\u76f8\u540c\u957f\u5ea6\u7684\u4e00\u7ef4\u5411\u91cf\u3002\u5982\u679c\u672a\u77e5\u91c7\u6837\u9891\u7387\uff0c\u53ef\u8bbe\u7f6e\u4e3a1\n% alpha   - \u60e9\u7f5a\u56e0\u5b50\n% K       - \u6307\u5b9a\u5206\u89e3\u6a21\u6001\u6570\n% tol     - \u6536\u655b\u5bb9\u5dee\uff0c\u662f\u4f18\u5316\u7684\u505c\u6b62\u51c6\u5219\u4e4b\u4e00\uff0c\u53ef\u4ee5\u53d6 1e-6~5e-6\n\n% \u8f93\u51fa\uff1a\n% imf\uff1a\u5185\u6db5\u6a21\u6001\u5206\u91cf\uff0c\u7edf\u4e00\u4e3an*m\u683c\u5f0f\uff0c\u5176\u4e2dn\u4e3a\u6a21\u6001\u6570\uff0cm\u4e3a\u6570\u636e\u70b9\u6570\u3002\u4f8b\u5982 imf(1,:)\u5373IMF1\uff0cimf(end,:)\u5373\u4e3a\u6b8b\u5dee\n% \u6ce8\u610f\uff0c\u4e3a\u4e86\u4e0e\u5176\u4ed6\u201c\u7c7bEMD\u201d\u65b9\u6cd5\u5206\u89e3\u51fa\u6765\u7684imf\u5206\u91cf\u4fdd\u6301\u4e00\u81f4\uff0c\u672c\u7a0b\u5e8f\u5185\u5c06imf\u6392\u5e8f\u8fdb\u884c\u4e86\u7ffb\u8f6c\n% \u5373\u4fdd\u8bc1imf\u6392\u5217\u662f\u4ece\u9ad8\u9891\u5411\u4f4e\u9891\u6392\u5217\n% CenFs\uff1a\u5373CentralFrequencies\uff0c\u5404imf\u5206\u91cf\u7684\u4e2d\u5fc3\u9891\u7387\n\n% \u6ce8\u610f\uff1a\u4f7f\u7528\u4e24\u79cd\u5e93\u6240\u5f97\u5230\u7684imf\u7ed3\u679c\u4f1a\u5b58\u5728\u5dee\u5f02\uff0c\u8fd9\u662f\u7531\u4e24\u4e2a\u5e93\u81ea\u8eab\u7b97\u6cd5\u5dee\u5f02\u5bfc\u81f4\u7684\uff0c\u5c5e\u4e8e\u6b63\u5e38\u73b0\u8c61\u3002<\/code><\/pre>\n\n\n\n
7.pVMD.m<\/mark><\/b><\/p>\n\n\n\n
\u5c01\u88c5\u597d\u7684VMD<\/b>\u753b\u56fe\u7a0b\u5e8f\u3002<\/p>\n\n\n\n
\u51fd\u6570\u53c2\u6570\u8bf4\u660e\uff1a<\/p>\n\n\n\n
function [imf,CenFs] = pVMD(y,FsOrT, alpha, K, tol)\n% \u753b\u4fe1\u53f7VMD\u5206\u89e3\u56fe\n% \u8f93\u5165\uff1a\n% data\uff1a\u5f85\u5206\u89e3\u7684\u6570\u636e(\u4e00\u7ef4)\n% FsOrT\uff1a\u91c7\u6837\u9891\u7387\u6216\u91c7\u6837\u65f6\u95f4\u5411\u91cf\uff0c\u5982\u679c\u4e3a\u91c7\u6837\u9891\u7387\uff0c\u8be5\u53d8\u91cf\u8f93\u5165\u5355\u4e2a\u503c\uff1b\u5982\u679c\u4e3a\u65f6\u95f4\u5411\u91cf\uff0c\u8be5\u53d8\u91cf\u4e3a\u4e0ey\u76f8\u540c\u957f\u5ea6\u7684\u4e00\u7ef4\u5411\u91cf\u3002\u5982\u679c\u672a\u77e5\u91c7\u6837\u9891\u7387\uff0c\u53ef\u8bbe\u7f6e\u4e3a1\n% alpha   - \u60e9\u7f5a\u56e0\u5b50\n% K       - \u6307\u5b9a\u5206\u89e3\u6a21\u6001\u6570\n% tol     - \u6536\u655b\u5bb9\u5dee\uff0c\u662f\u4f18\u5316\u7684\u505c\u6b62\u51c6\u5219\u4e4b\u4e00\uff0c\u53ef\u4ee5\u53d6 1e-6~5e-6\n\n% \u8f93\u51fa\uff1a\n% imf\uff1a\u5185\u6db5\u6a21\u6001\u5206\u91cf\uff0c\u7edf\u4e00\u4e3an*m\u683c\u5f0f\uff0c\u5176\u4e2dn\u4e3a\u6a21\u6001\u6570\uff0cm\u4e3a\u6570\u636e\u70b9\u6570\u3002\u4f8b\u5982 imf(1,:)\u5373IMF1\uff0cimf(end,:)\u5373\u4e3a\u6b8b\u5dee\n% \u6ce8\u610f\uff0c\u4e3a\u4e86\u4e0e\u5176\u4ed6\u201c\u7c7bEMD\u201d\u65b9\u6cd5\u5206\u89e3\u51fa\u6765\u7684imf\u5206\u91cf\u4fdd\u6301\u4e00\u81f4\uff0c\u672c\u7a0b\u5e8f\u5185\u5c06imf\u6392\u5e8f\u8fdb\u884c\u4e86\u7ffb\u8f6c\n% \u5373\u4fdd\u8bc1imf\u6392\u5217\u662f\u4ece\u9ad8\u9891\u5411\u4f4e\u9891\u6392\u5217\n% CenFs\uff1a\u5373CentralFrequencies\uff0c\u5404imf\u5206\u91cf\u7684\u4e2d\u5fc3\u9891\u7387\n\n% \u6ce8\u610f\uff1a\u5728\u4f7f\u7528\u8be5\u4ee3\u7801\u4e4b\u524d\uff0c\u8bf7\u52a1\u5fc5\u5b89\u88c5\u5de5\u5177\u7bb1\uff1ahttps:\/\/khsci.com\/docs\/index.php\/2020\/04\/09\/1\/<\/code><\/pre>\n\n\n\n
\u753b\u56fe\u6548\u679c\u5982\u4e0b\uff08\u53c2\u8003\uff09\uff1a<\/p>\n\n\n
\n
\"\"\/<\/figure><\/div>\n\n\n
\u53ef\u4ee5\u540c\u65f6\u753b\u51fa\u4e0b\u8fb9\u8fd9\u5f20VMD\u5206\u89e3\u7684\u4e09\u7ef4\u5c55\u5f00\u56fe\uff08\u5b8c\u6574\u7248\u72ec\u6709\uff09\uff1a<\/p>\n\n\n
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\"\"<\/figure><\/div>\n\n\n
\u4e09\u3001\u5feb\u901f\u5f00\u59cb<\/h4>\n\n\n\n
1.\u8fd0\u884c\u6d4b\u8bd5\u811a\u672c<\/strong><\/p>\n\n\n\n
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\u590d\u5236\u4e00\u4e2ademoFilEMDsICA.m<\/strong><\/span>\u7684\u6587\u4ef6\u526f\u672c\uff0c\u5728\u8fd9\u4e2a\u526f\u672c\u91cc\u505a\u5982\u4e0b\u4fee\u6539\uff1a<\/p>\n\n\n\n
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ICAfilter\u516c\u5f00\u7248\u4ee3\u7801<\/h3>\n        
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\u6587\u4ef6\u5c3a\u5bf8: 496.63 KB<\/div>\n                    
\u66f4\u65b0: 12-03-2024<\/div>\n        <\/div>\n    <\/div>\n    
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