{"id":4402,"date":"2012-01-07T14:12:52","date_gmt":"2012-01-07T06:12:52","guid":{"rendered":"http:\/\/www.andrewsun.net\/panta_rhei\/?p=4402"},"modified":"2012-01-07T14:12:52","modified_gmt":"2012-01-07T06:12:52","slug":"%e4%b8%ad%e5%9b%bd%e4%ba%ba%e5%af%b9%e7%a8%8b%e5%ba%8f%e6%ad%a3%e4%b9%89%e4%b8%8d%e6%84%9f%e5%85%b4%e8%b6%a3%ef%bc%8c%e5%af%b9%e7%bb%93%e6%9e%9c%e6%ad%a3%e4%b9%89%e6%af%94%e8%be%83%e6%84%9f%e5%85%b4","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/4402","title":{"rendered":"\u4e2d\u56fd\u4eba\u5bf9\u7a0b\u5e8f\u6b63\u4e49\u4e0d\u611f\u5174\u8da3\uff0c\u5bf9\u7ed3\u679c\u6b63\u4e49\u6bd4\u8f83\u611f\u5174\u8da3"},"content":{"rendered":"
\n

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\n

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\u2014\u2014\u201c\u8fd9\u4e9b\u5de5\u4f5c\u76ee\u7684\u5f88\u660e\u786e\uff0c\u8c01\u4e71\u641e\u5f53\u7136\u8c01\u662f\u50bb\u74dc\u554a\u3002\u6211\u73b0\u5728\u505a\u7814\u7a76\u76ee\u7684\u4e5f\u5f88\u660e\u786e\u554a\u3002\u521a\u624d\u5df2\u7ecf\u5426\u5b9a\u4e86\u201c\u8ba4\u8bc6\u771f\u7406\u201d\u8fd9\u4e2a\u76ee\u7684\u4e86\uff0c\u6211\u89c9\u5f97\u771f\u6b63\u7684\u76ee\u7684\u5c31\u662f\u53d1\u6587\u7ae0\u6bd5\u4e1a\u3002\u6240\u4ee5\u6211\u7684\u505a\u6cd5\u624d\u662f\u6709\u7684\u653e\u77e2\u3002\u4f60\u628a\u4f60\u7684\u536b\u661f\u9001\u4e0a\u5929\uff0c\u6211\u6bd5\u6211\u7684\u4e1a\u3002\u201d<\/p>\n

\u6f14\u7ece\u5230\u8fd9\u91cc\uff0cA\u540c\u5b66\u5c31\u66f4\u6ca1\u6709\u9519\u4e86\u3002\u95ee\u9898\u5f53\u7136\u4e0d\u5728A\u540c\u5b66\u8fd9\u91cc\u3002\u5448\u73b0\u7ed9A\u540c\u5b66\u7684\u6574\u4e2a\u73af\u5883\u73b0\u5b9e\uff0c\u5fc5\u7136\u5bfc\u81f4A\u540c\u5b66\u8fd9\u79cd\u505a\u6cd5\u3002\u4ec0\u4e48\u73af\u5883\u73b0\u5b9e\u5462\uff1f\u6211\u80fd\u529b\u6709\u9650\uff0c\u53ea\u80fd\u4e3e\u51fa\u51e0\u6761\u3002<\/p>\n

\u7b2c\u4e00\u3001\u79d1\u5b66\u7814\u7a76\u5728\u73b0\u4ee3\u793e\u4f1a\u4e0d\u662f\u4e2a\u4eba\u884c\u4e3a\uff0c\u800c\u662f\u4e00\u4e2a\u884c\u4e1a\u3002\u79d1\u7814\u5de5\u4f5c\u8005\u662f\u4e00\u4e2a\u804c\u4e1a\uff0c\u5c31\u597d\u50cf\u533b\u751f\u3001\u6559\u5e08\u3001\u8bb0\u8005\u90a3\u6837\uff0c\u56fa\u7136\u6709\u201c\u804c\u4e1a\u9053\u5fb7\u201d\u548c\u201c\u7406\u60f3\u201d\u4e00\u8bf4\uff0c\u4f46\u4e0d\u80fd\u6392\u9664\u7eaf\u7cb9\u6323\u94b1\u517b\u5bb6\u6df7\u996d\u5403\u7684\u4eba\uff0c\u751a\u81f3\u662f\u5f04\u865a\u4f5c\u5047\u7684\u4eba\u3002\u6240\u4ee5\u8bf4\u4e0d\u80fd\u6574\u5929\u62ff\u201c\u53d1\u73b0\u771f\u7406\u201d\u6765\u8bf4\u4e8b\u3002\u5012\u662f\u8981\u7ecf\u5e38\u62ff\u201c\u5de5\u8d44\u201d\u6765\u8bf4\u4e8b\u3002<\/p>\n

\u7b2c\u4e8c\u3001\u641e\u79d1\u7814\u7684\u4eba\u592a\u591a\u4e86\uff0c\u7279\u522b\u662f\u57fa\u7840\u7814\u7a76\u3002\u771f\u6b63\u7684\u91cd\u8981\u7684\u79d1\u5b66\u95ee\u9898\u5c31\u90a3\u51e0\u4e2a\uff0c\u4e0d\u591a\uff0c\u4e5f\u5f88\u96be\uff0c\u76ee\u524d\u4e5f\u5df2\u7ecf\u6709\u725b\u4eba\u725b\u7ec4\u5728\u505a\uff0c\u4e5f\u80fd\u505a\u597d\u3002\u5728\u8fd9\u4e9b\u725b\u7ec4\u91cc\u505a\u7814\u7a76\u5c31\u786e\u5b9e\u662f\u4e3a\u4e86\u53d1\u73b0\u771f\u7406\uff0c\u6ca1\u6709\u9020\u5047\u7684\u52a8\u673a\u3002\u90a3\u4e0d\u5c31\u591f\u4e86\u4e48\uff1f\u4f46\u7531\u4e8e\u8fd8\u6709\u4e00\u5927\u5806\u79d1\u7814\u5de5\u4f5c\u8005\uff0c\u8981\u8003\u6838\u8981\u53d1\u5de5\u8d44\u3002\u56e0\u6b64\u5c31\u4ea7\u751f\u51fa\u4e86\u5f88\u591aproposal\uff0c\u8981\u53d1\u5f88\u591a\u7684funding\uff0c\u51fa\u5f88\u591a\u6587\u7ae0\u3002\u5c31\u4e3e\u4e2d\u56fd\u4eba\u53d1\u6587\u7ae0\u6570\u5168\u56fd\u7b2c\u4e00\u7684\u9886\u57df\u2014\u2014\u5316\u5b66\u3001\u6750\u6599\u5b66\u65b9\u9762\uff0c\u6709\u592a\u591a\u6587\u7ae0\u90fd\u662f\u4f60\u9876\u4e2a\u789f\u5b50\u53d1\u4e00\u7bc7\uff0c\u6211\u9876\u4e2a\u7897\u513f\u53c8\u53d1\u4e00\u7bc7\uff1b\u4f60\u7ad9\u5730\u4e0a\u9876\u53d1\u4e00\u7bc7\uff0c\u6211\u8d70\u94a2\u4e1d\u9876\u53c8\u53d1\u4e00\u7bc7\u3002\u79d1\u5b66\u95ee\u9898\u592a\u5c11\uff0c\u8f6e\u4e0d\u5230\u81ea\u5df1\uff0c\u90a3\u5c31\u591a\u60f3\u51fa\u6765\u4e00\u70b9\u201c\u79d1\u5b66\u95ee\u9898\u201d\u5457\u3002\u6709\u5f88\u591a\u201c\u79d1\u5b66\u95ee\u9898\u201d\uff0c\u4f60\u4e0d\u53bb\u9876\u4e2a\u7897\u513fr \u7684\u8bdd\u672c\u6765\u662f\u4e0d\u5b58\u5728\u7684\u3002\u7ed3\u679c\u4f60\u504f\u53bb\u9876\u4e2a\u7897\u513f\uff0c\u90a3\u624d\u4f1a\u51fa\u73b0\u201c\u9876\u7897\u513f\u7684\u57fa\u672c\u7269\u7406\u95ee\u9898\u201d\u8fd9\u79cdproposal\u3002\u6b63\u662f\u7531\u4e8e\u4eba\u592a\u591a\uff0c\u6240\u4ee5\u6709\u592a\u591a\u7814\u7a76\u76ee\u7684\u8fdc\u4e0d\u5982\u201c\u53d1\u73b0\u771f\u7406\u201d\u90a3\u6837\u6fc0\u52a8\u4eba\u5fc3\uff0c\u6240\u4ee5\u624d\u4f1a\u6709\u4e86A\u540c\u5b66\u7684\u611f\u89c9\u3002<\/p>\n

\u7b2c\u4e09\u3001\u57fa\u7840\u6559\u80b2\u7684\u5931\u8d25\u3002\u8fd9\u4e2a\u5931\u8d25\u6709\u4e24\u65b9\u9762\u3002\u4e00\u65b9\u9762\u662f\uff0c\u5927\u5b66\u672c\u79d1\u6559\u80b2\u51fa\u6765\u7684\u4eba\u53c8\u8822\u53c8\u61d2\uff0c\u53c8\u4e0d\u61c2\u505a\u4eba\uff0c\u7528\u4eba\u5355\u4f4d\u4e0d\u6ee1\u610f\uff0c\u4ee5\u4e3a\u662f\u4e66\u8bfb\u5f97\u4e0d\u591f\uff0c\u56e0\u6b64\u5b66\u5386\u8981\u6c42\u5f80\u4e0a\u9760\uff0c\u8fd9\u53c8\u5bfc\u81f4\u7814\u7a76\u751f\u6559\u80b2\u53d8\u6210\u5b66\u5386\u5b75\u5316\u5668\uff0c\u5927\u5bb6\u8fc7\u6765\u90fd\u5bf9\u79d1\u7814\u4e0d\u611f\u5174\u8da3\u5168\u662f\u6df7\u5b66\u5386\u7684\uff0c\u5b8c\u4e86\u7528\u4eba\u5355\u4f4d\u53d1\u73b0\u5c31\u7b97\u535a\u58eb\u4e86\u4e5f\u8fd8\u662f\u53c8\u8822\u53c8\u61d2\u53c8\u4e0d\u61c2\u505a\u4eba\uff0c\u6bd4\u8f83\u60b2\u50ac\u3002\u53e6\u4e00\u65b9\u9762\u662f\uff0c\u5927\u5b66\u672c\u79d1\u6559\u80b2\uff0c\u4e5f\u5305\u62ec\u4e2d\u5c0f\u5b66\u6559\u80b2\uff0c\u4e0d\u662f\u5728\u6559\u5b66\u751f\u201ccritical thinking\u201d\uff0c\u800c\u662f\u5728\u6559\u5b66\u751f\u5206\u6570\u4e07\u5c81\u3002\u8fd9\u6837\u6559\u51fa\u6765\u7684\u5b66\u751f\uff0c\u505a\u4efb\u4f55\u4e8b\u60c5\u90fd\u8981\u627e\u4e2a\u201c\u6253\u5206\u6807\u51c6\u201d\u6216\u8005\u4e00\u4e2a\u6bd4\u8f83\u660e\u786e\u7684\u73b0\u5b9e\u76ee\u7684\uff0c\u5bf9\u8fc7\u7a0b\u6ca1\u6709\u4efb\u4f55\u5174\u8da3\u548c\u9050\u60f3\u3002\u8fd9\u4e5f\u9020\u5c31\u4e86\u201c\u7ed3\u679c\u6b63\u4e49\u201d\u6253\u8d25\u201c\u7a0b\u5e8f\u6b63\u4e49\u201d\u7684\u601d\u7ef4\u3002\u4ec0\u4e48\u4e8b\u60c5\uff0c\u5982\u679c\u4e0d\u6253\u5206\u3001\u6ca1\u7ed3\u679c\uff0c\u5c31\u7edd\u5bf9\u4e0d\u4f1a\u53bb\u505a\uff0c\u5929\u7136\u5730\u62d2\u7edd\u4e86\u201c\u770b\u5c0f\u8bf4\u201d\u3001\u201c\u542c\u97f3\u4e50\u201d\u7b49\u201c\u9676\u51b6\u60c5\u64cd\u201d\u7684\u6d3b\u52a8\uff1b\u5c31\u8fde\u770b\u7535\u5f71\u4e5f\u53ea\u5173\u5fc3\u5267\u60c5\uff0c\u518d\u597d\u7684\u7535\u5f71\uff0c\u770b\u8fc7\u4e86\u5c31\u4e0d\u60f3\u518d\u770b\u2014\u2014\u56e0\u4e3a\u5267\u60c5\u90fd\u77e5\u9053\u4e86\u8fd8\u770b\u5565\uff1f\u4e0d\u61c2\u6b23\u8d4f\u4e0d\u61c2\u56de\u5473\u5fc3\u7075\u8d2b\u7620\uff0c\u5f53\u7136\u5c31\u51fa\u4e0d\u4e86\u201c\u5927\u5e08\u201d\u4e86\uff0c\u53ea\u80fd\u51fa\u6765\u4e00\u5806\u6c11\u5de5\u3002<\/p>\n

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clear all;close all;clc; %============ Generate the signal for reconstruction ============% fs=57; % sampling frequency fi0=10\/3; % input frequency t=0:1\/fs:123456\/fs; % the length of signal is 12345. t=t'; delta=[1 3 2 1]; x1=sin(2*pi*fi0*t); % the input signal is a sinusoidal wave; x2=12*sin(2*pi*fi0*t+1) +3*sin(3*2*pi*fi0*t+3)+0.8*sin(5*2*pi*fi0*t+2)+0.02*sin(7*2*pi*fi0*t+1) +2*rand(size(t)); % the output is a sum\u2026","rel":"","context":"In "\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0"","block_context":{"text":"\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/tagged"},"img":{"alt_text":"\u5b9e\u9645\u4fe1\u53f7\u793a\u8303","src":"https:\/\/i0.wp.com\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2012\/05\/Untitled1.png?resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2012\/05\/Untitled1.png?resize=350%2C200 1x, 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\u5927\u5e45\u632f\u8361\u526a\u5207\u5b9e\u9a8c\u4ea7\u751f\u7684\u6ce2\u5f62\u662f\u975e\u6b63\u5f26\u4fe1\u53f7\uff0c\u975e\u6b63\u5f26\u662f\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u7279\u70b9\u3002\u6240\u4ee5\u5bf9\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u7a0b\u5ea6\u7684\u8868\u5f81\uff0c\u5c31\u662f\u5bf9\u6ce2\u5f62\u6b63\u5f26\u5f62\u72b6\u504f\u79bb\u7a0b\u5ea6\u7684\u8868\u5f81\u3002\u5173\u4e8e\u5927\u5e45\u632f\u8361\u526a\u5207\u548c\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u539f\u7406\u4e0e\u5b9e\u8df5\uff0c\u53ef\u89c1Hyhn\u7b49\u7684\u7efc\u8ff0\uff0c\u6216\u8005\u53c2\u9605\u6211\u7684\u535a\u58eb\u5b66\u4f4d\u8bba\u6587\u7b2c1.2.1\u8282\u3001\u7b2c1.3\u8282\u548c\u7b2c2\u7ae0\u3002\u672c\u6587\u53ea\u89e3\u51b3MATLAB\u7f16\u7a0b\u5b9e\u73b0\u95ee\u9898\u3002 \u5927\u5e45\u632f\u8361\u526a\u5207\uff08LAOS\uff09\u5b9e\u9a8c\u4e2d\uff0c\u6211\u4eec\u4ece\u6d41\u53d8\u4eea\u540c\u65f6\u83b7\u53d6\u4e24\u4e2a\u4fe1\u53f7\u3002\u4e00\u4e2a\u662f\u5e94\u53d8\u7684\u4fe1\u53f7\uff0c\u4e00\u4e2a\u662f\u5e94\u529b\u7684\u4fe1\u53f7\uff08\u4e8b\u5b9e\u4e0a\uff0c\u4e00\u4e2a\u662f\u9a6c\u8fbe\u4f4d\u79fb\u4fe1\u53f7\uff0c\u53e6\u4e00\u4e2a\u662f\u529b\u77e9\u4fe1\u53f7\uff0c\u5b83\u4eec\u90fd\u8981\u4e58\u4ee5\u4e00\u4e2a\u7cfb\u6570\uff0c\u624d\u662f\u5e94\u53d8\u548c\u5e94\u529b\u3002\u6b64\u6587\u5148\u7565\u53bb\u8fd9\u4e00\u4e8b\u5b9e\u4e86\uff09\u3002\u5728\u5e94\u53d8\u63a7\u5236\u7684\u5b9e\u9a8c\u4e2d\uff0c\u6211\u4eec\u65bd\u52a0\u4e00\u4e2a\u6b63\u5f26\u7684\u5e94\u53d8\uff0c\u6d4b\u91cf\u5e94\u529b\u7684\u54cd\u5e94\uff0c\u5373 $$\\begin{cases}\\gamma\\left(t\\right)=\\sin\\omega t\\\\ \\sigma\\left(t\\right)=\\sum_{n=0:\\text{odd}}^\\infty\\sigma_n\\sin\\left(\\omega t+\\delta_n\\right)\\end{cases}$$\u7531\u6b64\u5f0f\u53ef\u5b9a\u4e49LAOS\u5b9e\u9a8c\u7ed3\u679c\u7684\u8868\u5f81\u53c2\u6570\uff0c\u4ee5\u53ca\uff0c\u6765\u8868\u5f81\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u7a0b\u5ea6\uff08\u5373\u504f\u79bb\u6b63\u5f26\u51fd\u6570\u7684\u7a0b\u5ea6\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u4f1a\u4ee5\u5bf9\u4f5c\u56fe\uff08\u53c2\u6570\u65b9\u7a0b\u4f5c\u56fe\uff09\uff0c\u5f97\u5230Lissajous\u66f2\u7ebf\u3002\u7136\u540e\u7528\u66f2\u7ebf\u7684\u5f62\u72b6\u7279\u5f81\u6765\u8868\u5f81\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u7a0b\u5ea6\uff08\u5373\u66f2\u7ebf\u504f\u79bb\u692d\u5706\u7684\u7a0b\u5ea6\uff09\u3002\u63cf\u8ff0\u66f2\u7ebf\u5f62\u72b6\u7279\u5f81\uff0c\u5f80\u5f80\u5c31\u662f\u5404\u79cd\u5404\u6837\u7684\u5207\u7ebf\u659c\u7387\uff08\u53ef\u81ea\u884c\u4e0a\u7f51\u641c\u7d22\u590d\u4e60\u53c2\u6570\u65b9\u7a0b\u6c42\u5bfc\uff09\u3002\u5728LAOS\u4e2d\u5e38\u7528\uff1a$$G_\\text{M}=\\left.\\frac{d\\sigma}{d\\gamma}\\right|_{\\gamma=0}$$$$G_\\text{L}=\\frac{\\sigma{\\gamma_0}}{\\gamma_0}$$$$G_\\text{k}=\\left.\\frac{d\\sigma}{d\\gamma}\\right|_{\\sigma=0}$$ MATLAB\u7f16\u7a0b\u6b65\u9aa4 \u5728\u8be6\u7ec6\u4ecb\u7ecdMATLAB\u4ee3\u7801\u4e4b\u524d\uff0c\u5148\u603b\u7ed3\u4e00\u4e0b\u6211\u4eec\u8981\u5b8c\u6210\u4ec0\u4e48\u4efb\u52a1\uff0c\u8ddf\u4ece\u54ea\u4e9b\u6b65\u9aa4\u3002\u6211\u4eec\u7684\u4efb\u52a1\u5c31\u662f\u8981\u4ece\u5e94\u529b\u548c\u5e94\u53d8\u7684\u4fe1\u53f7\u8ba1\u7b97\u51fa\u4e0a\u8ff0\u7684\u8fd9\u4e48\u591a\u53c2\u6570\u3002\u5b9e\u9a8c\u65f6\uff0c\u6211\u4eec\u4f1a\u89c4\u5b9a\u5e94\u53d8\u7684\u5e45\u5ea6\u548c\u9891\u7387\uff0c\u4f46\u662f\uff0c\u7531\u4e8e\u4eea\u5668\u8bef\u5dee\uff0c\u5b9e\u9645\u65bd\u52a0\u5728\u6837\u54c1\u4e0a\u7684\u5e94\u53d8\u5e45\u5ea6\u548c\u9891\u7387\uff0c\u672a\u5fc5\u5b8c\u5168\u7b49\u4e8e\u7684\u547d\u4ee4\u503c\u3002\u5c3d\u7ba1\u8fd9\u4e00\u8bef\u5dee\u975e\u5e38\u5c0f\uff0c\u4f46\u4ece\u505a\u6cd5\u4e0a\u6211\u4eec\u8fd8\u662f\u8981\u4ee5\u5b9e\u9645\u5e94\u53d8\u4fe1\u53f7\u4e3a\u51c6\u3002\u6240\u4ee5\uff0c\u6211\u4eec\u9996\u5148\u8981\u5bf9\u5b9e\u9645\u5e94\u53d8\u4fe1\u53f7\u8fdb\u884c\u5224\u65ad\uff0c\u83b7\u5f97\u5b9e\u9645\u7684\u5e94\u53d8\u5e45\u5ea6\u548c\u9891\u7387\u3002\u5982\u4f55\u5224\u65ad\u4e00\u4e2a\u672a\u77e5\u6b63\u5f26\u4fe1\u53f7\u7684\u632f\u5e45\u3001\u9891\u7387\u548c\u76f8\u4f4d\u7684\u65b9\u6cd5\u5df2\u7ecf\u5728\u4e0a\u4e00\u7bc7\u6587\u7ae0\u4e2d\u4ecb\u7ecd\u4e86\u3002 \u7136\u540e\uff0c\u5c31\u8981\u5904\u7406\u5e94\u529b\u7684\u4fe1\u53f7\u3002\u4e3a\u4e86\u83b7\u5f97\u548c\u540c\u6837\u9700\u8981\u5bf9\u8fdb\u884cfft\u5904\u7406\uff0c\u65b9\u6cd5\u8ddf\u4e0a\u4e00\u7bc7\u6587\u7ae0\u4ecb\u7ecd\u7684\u7c7b\u4f3c\uff0c\u533a\u522b\u53ea\u5728\u4e8e\u6211\u4eec\u9664\u4e86\u8981\u83b7\u5f97\u57fa\u9891\u7684\u5e45\u503c\u548c\u76f8\u4f4d\u4e4b\u5916\uff0c\u8fd8\u8981\u83b7\u5f97\u9ad8\u6b21\u8c10\u6ce2\u7684\u5e45\u503c\u548c\u76f8\u4f4d\u3002\u7406\u8bba\u4e0a\u6765\u8bf4\uff0c\u4f46\u662f\u5b9e\u9645\u4e0a\u6211\u4eec\u6839\u636e\u9700\u8981\u53d6\u6709\u9650\u7684n\u4e2a\u9ad8\u6b21\u8c10\u6ce2\uff0c\u5c31\u53ef\u4ee5\u6bd4\u8f83\u51c6\u786e\u5730\u91cd\u6784\u51fa\u7684\u6ce2\u5f62\u4e86\u3002\u63d0\u9192\u4e00\u4e0b\uff0c\u5b9a\u4e49\u5f0f\u91cc\u5e94\u53d8\u662f\u4e00\u4e2a\u96f6\u76f8\u4f4d\u7684\u6807\u51c6\u6b63\u5f26\u51fd\u6570\uff0c\u4f46\u5b9e\u9645\u91cd\u6784\u7684\u5e94\u53d8\u6ce2\u5f62\u53ef\u80fd\u4f1a\u6709\u975e\u96f6\u7684\u76f8\u4f4d\uff0c\u8fd9\u65f6\uff0c\u5e94\u529b\u7684\u5404\u4e2a\u8c10\u6ce2\u7684\u76f8\u4f4d\u8981\u90fd\u51cf\u53bb\u5e94\u53d8\u7684\u76f8\u4f4d\uff0c\u624d\u662f\u6211\u4eec\u8981\u6c42\u7684\u3002 Lissajous\u66f2\u7ebf\u7684\u5404\u79cd\u5bfc\u6570\uff0c\u8981\u540c\u65f6\u5728\u548c\u90fd\u91cd\u6784\u4e86\u4e4b\u540e\uff0c\u518d\u8fdb\u884c\u6c42\u5bfc\u8ba1\u7b97\u5f97\u5230\u3002\u603b\u800c\u8a00\u4e4b\uff0c\u8981\u5b8c\u6210\u4ee5\u4e0b\u4e09\u4e2a\u6b65\u9aa4\uff1a \u91cd\u6784\u5e94\u53d8\uff0c\u83b7\u5f97\u3001\u548c\u76f8\u4f4d \u91cd\u6784\uff0c\u83b7\u5f97\u548c\uff0c\u8ba1\u7b97 \u7528\u91cd\u6784\u7684\u548c\u4f5cLissajous\u66f2\u7ebf\uff0c\u4ee5\u53ca\u8ba1\u7b97\u3001\u548c \u91cd\u6784\u548c MATLAB\u5e2e\u52a9\u6587\u4ef6\u91ccfft\u547d\u4ee4\u7684\u6761\u76ee\u6709\u4e00\u4e2a\u8303\u4f8b\uff0c\u5e94\u8be5\u80fd\u89e3\u51b3\u5927\u90e8\u5206\u95ee\u9898\u4e86\u3002\u5176\u4e2d\u5728coherent sampling\uff08\u89c1\u4e0a\u7bc7\u6587\u7ae0\uff09\u5904\uff0c\u8303\u4f8b\u7528next power of 2\uff0c\u5176\u5b9e\u6ca1\u6709\u5fc5\u8981\u3002\u4e0b\u9762\u7684\u4ee3\u7801\uff0c\u6211\u5c31\u4e0d\u591a\u4f5c\u89e3\u91ca\u4e86\u3002 clear all clc % the strain signal fs=1000; % sampling frequency t=0:1\/fs:30.2; % the time series of the strain signal t=t(:); % convert to colume vector w=5; %\u2026","rel":"","context":"In "\u5de5\u4f5c\u7b14\u8bb0"","block_context":{"text":"\u5de5\u4f5c\u7b14\u8bb0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/personal\/%e5%b7%a5%e4%bd%9c%e7%ac%94%e8%ae%b0"},"img":{"alt_text":"Figure 1 Parts of the strain and the stress signals","src":"https:\/\/i0.wp.com\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2013\/04\/fig1.png?resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2013\/04\/fig1.png?resize=350%2C200 1x, https:\/\/i0.wp.com\/www.andrewsun.net\/panta_rhei\/wp-content\/uploads\/2013\/04\/fig1.png?resize=525%2C300 1.5x"},"classes":[]},{"id":3694,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/3694","url_meta":{"origin":4402,"position":2},"title":"\u4e3a\u4ec0\u4e48\u8981\u91cd\u65b0\u8bbe\u8ba1LAOS\u6d4b\u8bd5\u8f6f\u4ef6\uff1f","author":"Andrew","date":"2011\u5e748\u670819\u65e5","format":false,"excerpt":"\u5728\u5f88\u77ed\u7684\u65f6\u95f4\u91cc\u6211\u9700\u8981\u8003\u8651\u91cd\u65b0\u8bbe\u8ba1\u4e00\u4e2aLAOS\u6d4b\u8bd5\u7684\u8f6f\u4ef6\u3002\u5148\u5728\u6b64\u6574\u7406\u4e00\u4e0b\u601d\u8def\u3002 \u4e3a\u4ec0\u4e48\u8fd8\u8981\u505aLAOS \u4e0d\u662f\u8bf4\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u7814\u7a76\u5df2\u7ecf\u4e0d\u91cd\u8981\u4e86\u3002\u800c\u662f\u7814\u7a76\u975e\u7ebf\u6027\u6d41\u53d8\u5b66\u7684\u5b9e\u9a8c\u65b9\u6cd5\u5e76\u4e0d\u53ea\u6709LAOS\uff08large amplitude oscillatory 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\u5982\u679c\u6211\u4eec\u8981\u5bf9\u4e00\u4e2a\u5468\u671f\u4fe1\u53f7\u8fdb\u884cFourier\u7ea7\u6570\u5206\u6790\uff0c\u90a3\u4e48\u6211\u4eec\u662f\u5047\u5b9a\u8be5\u4fe1\u53f7\u53ef\u4ee5\u8868\u793a\u6210\\[f\\left(x\\right)=\\sum_{n=-\\infty}^\\infty c_n e^{\\mathrm{i}2\\pi n x\/P}\\]\u5176\u4e2d\\[c_n=\\frac{1}{P}\\int_0^P f\\left(x\\right)e^{-\\mathrm{i} 2\\pi n x\/P}\\mathrm{d}x\\] 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In A computationally efficient method for accurate spectral testing without requiring coherent sampling, Test Conference, 2004. Proceedings. ITC 2004. International, 26-28 Oct. 2004; 2004; pp 1398-1407. Minshun, W.; Degang, C.; Guican, C. 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