{"id":2138,"date":"2023-04-07T21:01:25","date_gmt":"2023-04-07T21:01:25","guid":{"rendered":"https:\/\/vibromera.eu\/?p=2138"},"modified":"2026-07-02T19:45:53","modified_gmt":"2026-07-02T19:45:53","slug":"application-of-the-fourier-transform-to-the-analysis-of-vibration-signals","status":"publish","type":"post","link":"https:\/\/vibromera.eu\/zh\/example\/application-of-the-fourier-transform-to-the-analysis-of-vibration-signals\/","title":{"rendered":"\u5085\u7acb\u53f6\u53d8\u6362\u5728\u632f\u52a8\u4fe1\u53f7\u5206\u6790\u4e2d\u7684\u5e94\u7528\u3002"},"content":{"rendered":"

\u5085\u91cc\u53f6\u53d8\u6362\u5728\u632f\u52a8\u4fe1\u53f7\u5206\u6790\u4e2d\u7684\u5e94\u7528<\/h1>\n

\u5b89\u5fb7\u70c8-\u8c22\u5c14\u79d1\u6587\u79d1\uff08Andrei Shelkovenko\uff09\u3002Vibromera \u7684\u5f00\u53d1\u8005\u548c\u521b\u59cb\u4eba\u4e4b\u4e00\u3002
\n\u6587\u7ae0\u7ffb\u8bd1\u53ef\u80fd\u5b58\u5728\u4e0d\u51c6\u786e\u4e4b\u5904\u3002<\/p>\n

\u5085\u7acb\u53f6\u53d8\u6362\u548c\u4fe1\u53f7\u9891\u8c31<\/h2>\n

\u5728\u8bb8\u591a\u60c5\u51b5\u4e0b\uff0c\u83b7\u53d6\uff08\u8ba1\u7b97\uff09\u8be5 \u9891\u8c31<\/a> \u4fe1\u53f7\u7684\u5904\u7406\u8fc7\u7a0b\u5982\u4e0b\u3002\u6709\u4e00\u4e2a\u6a21\u6570\u8f6c\u6362\u5668\uff08ADC\uff09\uff0c\u5b83\u901a\u8fc7\u91c7\u6837 \u9891\u7387<\/a> Fd \u5c06\u8f93\u5165\u7aef\u5728\u65f6\u95f4 T \u5185\u63a5\u6536\u5230\u7684\u8fde\u7eed\u4fe1\u53f7\u8f6c\u6362\u4e3a N \u4e2a\u6570\u5b57\u91c7\u6837\u70b9\u3002\u968f\u540e\uff0c\u8be5\u91c7\u6837\u6570\u7ec4\u88ab\u8f93\u5165\u5230\u67d0\u4e2a\u7a0b\u5e8f\u4e2d\uff08\u4f8b\u5982 FourierScope<\/a><\/span>) \u8f93\u51fa N\/2 \u4e2a\u6570\u503c\u3002<\/p>\n

\u4e3a\u4e86\u68c0\u67e5\u7a0b\u5e8f\u662f\u5426\u6b63\u5e38\u8fd0\u884c\uff0c\u6211\u4eec\u5c06\u4e24\u4e2a sin(10*2*pi*x)+0.5*sin(5*2*pi*x) \u7684\u548c\u7ec4\u6210\u4e00\u4e2a\u6837\u672c\u6570\u7ec4\uff0c\u5e76\u5c06\u5176\u8f93\u5165\u7a0b\u5e8f\u3002\u7a0b\u5e8f\u7ed8\u5236\u5982\u4e0b
\n

\"\u5085\u7acb\u53f6\u53d8\u6362\u548c\u4fe1\u53f7\u9891\u8c31\"

\u56fe 1 \u4fe1\u53f7\u7684\u65f6\u95f4\u51fd\u6570\u56fe<\/span><\/i><\/em><\/p><\/div><\/p>\n

 <\/p>\n

\"\u56fe

\u56fe 2 \u4fe1\u53f7\u9891\u8c31\u56fe<\/p><\/div>\n

 <\/p>\n

There are two \u8c10\u6ce2<\/a> \u5728\u9891\u8c31\u56fe\u4e0a\u2014\u20145 Hz \u6ce2\u5e45\u4e3a 0.5 V\uff0c10 Hz \u6ce2\u5e45\u4e3a 1 V\uff0c\u4e00\u5207\u90fd\u4e0e\u539f\u59cb\u4fe1\u53f7\u7684\u516c\u5f0f\u4e00\u81f4\u3002\u4e00\u5207\u6b63\u5e38\uff0c\u7a0b\u5e8f\u8fd0\u884c\u6b63\u786e\u3002<\/p>\n

\u8fd9\u610f\u5473\u7740\uff0c\u5982\u679c\u6211\u4eec\u5c06\u4e24\u4e2a\u6b63\u5f26\u6ce2\u6df7\u5408\u7684\u771f\u5b9e\u4fe1\u53f7\u8f93\u5165 ADC \u8f93\u5165\u7aef\uff0c\u5c31\u4f1a\u5f97\u5230\u7531\u4e24\u4e2a\u8c10\u6ce2\u7ec4\u6210\u7684\u7c7b\u4f3c\u9891\u8c31\u3002<\/p>\n

\u56e0\u6b64\uff0c\u6211\u4eec\u7684 \u771f\u6b63\u7684 <\/span><\/b><\/strong>\u6d4b\u91cf\u4fe1\u53f7 \u6301\u7eed 5 \u79d2<\/span><\/b><\/strong>\uff0c\u7531 ADC \u6570\u5b57\u5316\uff0c\u5373\u8868\u793a \u7531\u79bb\u6563 <\/span><\/b><\/strong>\u6837\u54c1\uff0c\u5177\u6709 \u79bb\u6563\u975e\u5468\u671f\u6027 <\/span><\/b><\/strong>\u5149\u8c31
\n\u4ece\u6570\u5b66\u89d2\u5ea6\u770b\uff0c\u8fd9\u53e5\u8bdd\u6709\u591a\u5c11\u9519\u8bef\uff1f <\/span><\/i><\/em><\/p>\n

\u73b0\u5728\uff0c\u8ba9\u6211\u4eec\u8bd5\u7740\u6d4b\u91cf 0.5 \u79d2\u949f\u7684\u76f8\u540c\u4fe1\u53f7\u3002<\/p>\n

\"\u56fe

\u56fe 3 \u6d4b\u91cf\u5468\u671f\u4e3a 0.5 \u79d2\u65f6\u7684\u51fd\u6570 sin(10*2*pi*x)+0.5*sin(5*2*pi*x) \u7684\u793a\u610f\u56fe<\/p><\/div>\n

 <\/p>\n

\"\u56fe

\u56fe 4 \u51fd\u6570\u9891\u8c31<\/p><\/div>\n

 <\/p>\n

\u8fd9\u91cc\u6709\u95ee\u9898\uff0110 \u8d6b\u5179\u7684\u8c10\u6ce2\u662f\u6b63\u5e38\u7ed8\u5236\u7684\uff0c\u800c 5 \u8d6b\u5179\u7684\u8c10\u6ce2\u5374\u6709\u4e00\u4e9b\u4e0d\u6e05\u6670\u7684\u8c10\u6ce2\u3002<\/p>\n

\u7f51\u4e0a\u8bf4\uff0c\u53ea\u9700\u5728\u6837\u672c\u672b\u5c3e\u52a0\u4e0a\u96f6\uff0c\u9891\u8c31\u5c31\u80fd\u6b63\u5e38\u7ed8\u5236\u3002<\/p>\n

\"\u56fe

\u56fe 5 \u6211\u4eec\u5728\u6837\u672c\u4e2d\u6dfb\u52a0\u4e86\u96f6\uff0c\u76f4\u81f3 5 \u79d2\u949f<\/p><\/div>\n

 <\/p>\n

\"\u56fe

\u56fe 6. \u83b7\u5f97\u7684\u9891\u8c31\u3002<\/p><\/div>\n

 <\/p>\n

\u6839\u672c\u4e0d\u662f\u8fd9\u6837\u3002\u6211\u5f97\u5904\u7406\u7406\u8bba\u95ee\u9898\u3002\u6211\u4eec\u53bb \u7ef4\u57fa\u767e\u79d1<\/b><\/strong><\/a><\/span>\u00a0- \u77e5\u8bc6\u7684\u6e90\u6cc9\u3002<\/p>\n

\u8fde\u7eed\u51fd\u6570\u53ca\u5176\u5085\u91cc\u53f6\u7ea7\u6570\u8868\u793a\u6cd5<\/h2>\n

\u4ece\u6570\u5b66\u4e0a\u8bb2\uff0c\u6301\u7eed\u65f6\u95f4\u4e3a T \u79d2\u7684\u4fe1\u53f7\u5c31\u662f\u5728\u533a\u95f4 {0, T} \u4e0a\u7ed9\u51fa\u7684\u67d0\u4e2a\u51fd\u6570 f(x)\uff08\u8fd9\u91cc\u7684 X \u5c31\u662f\u65f6\u95f4\uff09\u3002\u8fd9\u6837\u7684\u51fd\u6570\u603b\u662f\u53ef\u4ee5\u8868\u793a\u4e3a\u5f62\u5f0f\u5982\u4e0b\u7684\u8c10\u51fd\u6570\uff08\u6b63\u5f26\u6216\u4f59\u5f26\uff09\u4e4b\u548c\uff1a<\/p>\n

\"\u8fde\u7eed\u51fd\u6570\u53ca\u5176\u5085\u91cc\u53f6\u7ea7\u6570\u8868\u793a\u6cd5\"

\u00a0(1), \u5176\u4e2d<\/p>\n

<\/p><\/div>\n

k \u662f\u4e09\u89d2\u51fd\u6570\u7684\u7f16\u53f7\uff08\u8c10\u6ce2\u5206\u91cf\u7684\u7f16\u53f7\u3001\u8c10\u6ce2\u7684\u7f16\u53f7\uff09
\nT - \u5b9a\u4e49\u51fd\u6570\u7684\u533a\u6bb5\uff08\u4fe1\u53f7\u7684\u6301\u7eed\u65f6\u95f4\uff09
\nAk- k \u6b21\u8c10\u6ce2\u5206\u91cf\u7684\u632f\u5e45\u3001
\n\u03b8k- \u7b2c k \u6b21\u8c10\u6ce2\u5206\u91cf\u7684\u521d\u59cb\u76f8\u4f4d
\n\u5c06\u51fd\u6570\u8868\u793a\u4e3a\u6570\u5217\u4e4b\u548c \"\u662f\u4ec0\u4e48\u610f\u601d\uff1f\u610f\u601d\u662f\u5c06\u5085\u91cc\u53f6\u7ea7\u6570\u5728\u6bcf\u4e00\u70b9\u7684\u8c10\u6ce2\u5206\u91cf\u503c\u76f8\u52a0\uff0c\u5c31\u5f97\u5230\u51fd\u6570\u5728\u8be5\u70b9\u7684\u503c\u3002
\n\u66f4\u4e25\u683c\u5730\u8bf4\uff0c\u6570\u5217\u4e0e\u51fd\u6570 f(x) \u7684\u5747\u65b9\u504f\u5dee\u5c06\u8d8b\u4e8e\u96f6\uff0c\u4f46\u5c3d\u7ba1\u5b58\u5728\u5747\u65b9\u6536\u655b\u6027\uff0c\u51fd\u6570\u7684\u5085\u91cc\u53f6\u7ea7\u6570\u4e00\u822c\u6765\u8bf4\u5e76\u4e0d\u9700\u8981\u9010\u70b9\u6536\u655b\u5230\u51fd\u6570 f(x)\uff09\u3002)
\n\u8fd9\u4e2a\u6570\u5217\u4e5f\u53ef\u4ee5\u5199\u6210\u8868\u683c\uff1a<\/p>\n

\"(2),\"

(2),<\/p><\/div>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

\u5176\u4e2d \"\u7528\u4e8e\u632f\u52a8\u4fe1\u53f7\u5206\u6790\u7684\u5085\u91cc\u53f6\u53d8\u6362\u65b9\u7a0b\uff082\uff09\" \u5373\u7b2c k \u4e2a\u590d\u632f\u5e45\u3002<\/p>\n

 <\/p>\n

\u6216<\/p>\n

\"

(3)<\/p><\/div>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

\u7cfb\u6570 (1) \u548c (3) \u4e4b\u95f4\u7684\u5173\u7cfb\u7528\u4ee5\u4e0b\u516c\u5f0f\u8868\u793a\uff1a<\/p>\n

\"\u5085\u91cc\u53f6\u7ea7\u6570\u7cfb\u6570\u5173\u7cfb\u516c\u5f0f\"<\/p>\n

 <\/p>\n

 <\/p>\n

\"\u5085\u91cc\u53f6\u7ea7\u6570\u7cfb\u6570\u516c\u5f0f\"<\/p>\n

 <\/p>\n

 <\/p>\n

\u8bf7\u6ce8\u610f\uff0c\u8fd9\u4e09\u79cd\u5085\u91cc\u53f6\u7ea7\u6570\u8868\u793a\u6cd5\u662f\u5b8c\u5168\u7b49\u4ef7\u7684\u3002\u6709\u65f6\u5728\u5904\u7406\u5085\u91cc\u53f6\u7ea7\u6570\u65f6\uff0c\u4f7f\u7528\u865a\u53c2\u6570\u6307\u6570\u6bd4\u4f7f\u7528\u6b63\u5f26\u548c\u4f59\u5f26\u66f4\u65b9\u4fbf\uff0c\u4e5f\u5c31\u662f\u8bf4\u4f7f\u7528\u590d\u6570\u5f62\u5f0f\u7684\u5085\u91cc\u53f6\u53d8\u6362\u66f4\u65b9\u4fbf\u3002\u4f46\u5bf9\u6211\u4eec\u6765\u8bf4\uff0c\u4f7f\u7528\u516c\u5f0f (1) \u66f4\u65b9\u4fbf\uff0c\u5176\u4e2d\u5085\u91cc\u53f6\u7ea7\u6570\u8868\u793a\u4e3a\u5177\u6709\u76f8\u5e94\u5e45\u503c\u548c\u76f8\u4f4d\u7684\u4f59\u5f26\u4e4b\u548c\u3002\u4e25\u683c\u6765\u8bf4\uff0c\u5b9e\u4fe1\u53f7\u7684\u5085\u91cc\u53f6\u53d8\u6362\u786e\u5b9e\u4f1a\u4ea7\u751f\u590d\u7cfb\u6570\uff08\u5f62\u5f0f (3)\uff09\uff1a\u6bcf\u4e2a\u7cfb\u6570\u540c\u65f6\u5305\u542b\u5176\u8c10\u6ce2\u7684\u5e45\u503c\u548c\u76f8\u4f4d\u3002\u5bf9\u4e8e\u5b9e\u4fe1\u53f7\uff0c\u8fd9\u4e9b\u590d\u7cfb\u6570\u5177\u6709\u5171\u8f6d\uff08Hermitian\uff09\u5bf9\u79f0\u6027 \u2014 \u8d1f\u9891\u7387\u4e00\u534a\u53ea\u662f\u6b63\u9891\u7387\u4e00\u534a\u7684\u955c\u50cf\uff0c\u5e76\u4e0d\u643a\u5e26\u989d\u5916\u4fe1\u606f\u3002\u56e0\u6b64\uff0c\u4ece\u590d\u7cfb\u6570\u603b\u53ef\u4ee5\u8f6c\u5230\u516c\u5f0f (1) \u4e2d\u7684\u5b9e\u6570\u975e\u8d1f\u5e45\u503c Ak \u548c\u76f8\u4f4d \u03b8k \u2014 \u800c\u5206\u6790\u7a0b\u5e8f\u7ed8\u5236\u7684\u6b63\u662f\u8fd9\u79cd\u5e45\u503c\u8c31\u3002<\/p>\n

 <\/p>\n

\u603b\u7ed3\uff1a<\/span><\/b><\/u><\/strong>
\n<\/span><\/b><\/strong>\u4fe1\u53f7\u9891\u8c31\u5206\u6790\u7684\u6570\u5b66\u57fa\u7840\u662f\u5085\u7acb\u53f6\u53d8\u6362\u3002<\/span><\/b><\/strong>
\n<\/span><\/b><\/strong>
\n<\/span><\/b><\/strong>\u901a\u8fc7\u5085\u7acb\u53f6\u53d8\u6362\uff0c\u53ef\u4ee5\u5c06\u5b9a\u4e49\u5728\u533a\u95f4 {0, T} \u4e0a\u7684\u8fde\u7eed\u51fd\u6570 f(x)\uff08\u4fe1\u53f7\uff09\u8868\u793a\u4e3a\u540c\u6837\u5b9a\u4e49\u5728\u533a\u95f4 {0, T} \u4e0a\u7684\u5177\u6709\u786e\u5b9a\u632f\u5e45\u548c\u76f8\u4f4d\u7684\u4e09\u89d2\u51fd\u6570\uff08\u6b63\u5f26\u548c\/\u6216\u4f59\u5f26\uff09\u7684\u65e0\u7a77\u591a\u4e2a\uff08\u65e0\u7a77\u7ea7\u6570\uff09\u4e4b\u548c\u3002\u8fd9\u79cd\u7ea7\u6570\u79f0\u4e3a\u5085\u7acb\u53f6\u7ea7\u6570\u3002<\/span><\/b><\/strong><\/p>\n

\u8bf7\u6ce8\u610f\u66f4\u591a\u8981\u70b9\uff0c\u8981\u5c06\u5085\u7acb\u53f6\u53d8\u6362\u6b63\u786e\u5e94\u7528\u4e8e\u4fe1\u53f7\u5206\u6790\uff0c\u5c31\u5fc5\u987b\u7406\u89e3\u8fd9\u4e9b\u8981\u70b9\u3002\u5982\u679c\u6211\u4eec\u8003\u8651\u6574\u4e2a X \u8f74\u4e0a\u7684\u5085\u91cc\u53f6\u7ea7\u6570\uff08\u6b63\u5f26\u6ce2\u4e4b\u548c\uff09\uff0c\u5c31\u4f1a\u53d1\u73b0\u5728\u533a\u95f4 {0, T} \u5916\uff0c\u5085\u91cc\u53f6\u7ea7\u6570\u51fd\u6570\u4f1a\u5468\u671f\u6027\u5730\u91cd\u590d\u6211\u4eec\u7684\u51fd\u6570\u3002<\/p>\n

\u4f8b\u5982\uff0c\u5728\u56fe 7 \u4e2d\uff0c\u539f\u59cb\u51fd\u6570\u5b9a\u4e49\u5728\u533a\u95f4 {-T\\2, +T\\2}\u4e0a\uff0c\u800c\u5085\u91cc\u53f6\u7ea7\u6570\u8868\u793a\u5b9a\u4e49\u5728\u6574\u4e2a x \u8f74\u4e0a\u7684\u5468\u671f\u6027\u51fd\u6570\u3002<\/p>\n

\u8fd9\u662f\u56e0\u4e3a\u6b63\u5f26\u6ce2\u672c\u8eab\u662f\u5468\u671f\u51fd\u6570\uff0c\u6240\u4ee5\u5b83\u4eec\u7684\u548c\u4e5f\u662f\u5468\u671f\u51fd\u6570\u3002<\/p>\n

\"\u56fe

\u56fe 7 \u7528\u5085\u91cc\u53f6\u7ea7\u6570\u8868\u793a\u975e\u5468\u671f\u6027\u6e90\u51fd\u6570<\/p><\/div>\n

\u56e0\u6b64\uff1a<\/p>\n

\u6211\u4eec\u7684\u539f\u59cb\u51fd\u6570\u662f\u5b9a\u4e49\u5728\u67d0\u4e2a\u957f\u5ea6\u4e3a T \u7684\u7ebf\u6bb5\u4e0a\u7684\u8fde\u7eed\u3001\u975e\u5468\u671f\u6027\u51fd\u6570\u3002
\n\u8be5\u51fd\u6570\u7684\u9891\u8c31\u662f\u79bb\u6563\u7684\uff0c\u5373\u8868\u793a\u4e3a\u8c10\u6ce2\u6210\u5206\u7684\u65e0\u7a77\u7ea7\u6570--\u5085\u7acb\u53f6\u7ea7\u6570\u3002
\n\u4e8b\u5b9e\u4e0a\uff0c\u5085\u91cc\u53f6\u7ea7\u6570\u5b9a\u4e49\u4e86\u67d0\u79cd\u5468\u671f\u6027\u51fd\u6570\uff0c\u5b83\u4e0e\u6211\u4eec\u5728\u533a\u95f4 {0, T} \u4e0a\u7684\u51fd\u6570\u91cd\u5408\uff0c\u4f46\u5bf9\u6211\u4eec\u6765\u8bf4\uff0c\u8fd9\u79cd\u5468\u671f\u6027\u5e76\u4e0d\u91cd\u8981\u3002<\/p>\n

\u4e0b\u4e00\u4e2a<\/p>\n

\u8c10\u6ce2\u5206\u91cf\u7684\u5468\u671f\u662f\u533a\u95f4 {0, T} \u7684\u500d\u6570\uff0c\u521d\u59cb\u51fd\u6570 f(x) \u5c31\u662f\u5728\u8fd9\u4e2a\u533a\u95f4\u4e0a\u5b9a\u4e49\u7684\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u8c10\u6ce2\u7684\u5468\u671f\u662f\u4fe1\u53f7\u6d4b\u91cf\u6301\u7eed\u65f6\u95f4\u7684\u500d\u6570\u3002\u4f8b\u5982\uff0c\u5085\u91cc\u53f6\u7ea7\u6570\u4e2d\u7b2c\u4e00\u6b21\u8c10\u6ce2\u7684\u5468\u671f\u7b49\u4e8e\u5b9a\u4e49\u51fd\u6570 f(x) \u7684\u533a\u95f4 T\u3002\u5085\u7acb\u53f6\u7ea7\u6570\u4e2d\u4e8c\u6b21\u8c10\u6ce2\u7684\u5468\u671f\u7b49\u4e8e\u533a\u95f4 T\/2\u3002\u4ee5\u6b64\u7c7b\u63a8\uff08\u89c1\u56fe 8\uff09\u3002<\/p>\n

\"\u56fe

\u56fe 8 \u5085\u7acb\u53f6\u7ea7\u6570\u8c10\u6ce2\u6210\u5206\u7684\u5468\u671f\uff08\u9891\u7387\uff09\uff08\u6b64\u5904 T=2\u03c0)<\/p><\/div>\n

\u56e0\u6b64\uff0c\u8c10\u6ce2\u6210\u5206\u7684\u9891\u7387\u662f 1\/T \u7684\u500d\u6570\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u8c10\u6ce2\u5206\u91cf Fk \u7684\u9891\u7387\u4e3a Fk= k\\T \uff0c\u5176\u4e2d k \u7684\u53d6\u503c\u8303\u56f4\u4ece 0 \u5230 \u221e\uff0c\u4f8b\u5982\uff0ck=0 F0=0; k=1 F1=1\\T; k=2 F2=2\\T; k=3 F3=3\\T; ....Fk= k\\T \uff08\u9891\u7387\u4e3a\u96f6\u65f6\uff0c\u4e3a\u6052\u5b9a\u5206\u91cf\uff09\u3002<\/p>\n

\u5047\u8bbe\u6211\u4eec\u7684\u521d\u59cb\u51fd\u6570\u662f T=1 \u79d2\u671f\u95f4\u8bb0\u5f55\u7684\u4fe1\u53f7\u3002\u90a3\u4e48\uff0c\u7b2c\u4e00\u6b21\u8c10\u6ce2\u7684\u5468\u671f\u7b49\u4e8e\u4fe1\u53f7\u6301\u7eed\u65f6\u95f4 T1=T=1 \u79d2\uff0c\u8c10\u6ce2\u9891\u7387\u7b49\u4e8e 1 \u8d6b\u5179\u3002\u7b2c\u4e8c\u6b21\u8c10\u6ce2\u7684\u5468\u671f\u7b49\u4e8e\u4fe1\u53f7\u6301\u7eed\u65f6\u95f4\u9664\u4ee5 2\uff08T2=T\/2=0.5 \u79d2\uff09\uff0c\u9891\u7387\u7b49\u4e8e 2 \u8d6b\u5179\u3002\u5bf9\u4e8e\u4e09\u6b21\u8c10\u6ce2\uff0cT3=T\/3 \u79d2\uff0c\u9891\u7387\u4e3a 3 \u8d6b\u5179\u3002\u4ee5\u6b64\u7c7b\u63a8\u3002<\/p>\n

\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u8c10\u6ce2\u4e4b\u95f4\u7684\u95f4\u9694\u4e3a 1 \u8d6b\u5179\u3002<\/p>\n

\u56e0\u6b64\uff0c\u6301\u7eed\u65f6\u95f4\u4e3a 1 \u79d2\u7684\u4fe1\u53f7\u53ef\u4ee5\u5206\u89e3\u6210\u8c10\u6ce2\u6210\u5206\uff08\u83b7\u5f97\u9891\u8c31\uff09\uff0c\u9891\u7387\u5206\u8fa8\u7387\u4e3a 1 \u8d6b\u5179\u3002
\n\u82e5\u8981\u5c06\u5206\u8fa8\u7387\u63d0\u9ad8\u4e00\u500d\u81f3 0.5 Hz\uff0c\u5219\u9700\u5c06\u6d4b\u91cf\u65f6\u957f\u5ef6\u957f\u4e00\u500d\u81f3 2 \u79d2\u3002\u4e00\u4e2a 10 \u79d2\u7684\u4fe1\u53f7\u53ef\u4ee5\u5206\u89e3\u4e3a\u8c10\u6ce2\u5206\u91cf\uff08\u9891\u8c31\uff09\uff0c\u5176\u9891\u7387\u5206\u8fa8\u7387\u4e3a 0.1 Hz\u3002\u76ee\u524d\u5c1a\u65e0\u5176\u4ed6\u65b9\u6cd5\u53ef\u63d0\u9ad8\u9891\u7387\u5206\u8fa8\u7387\u3002\u60a8\u53ef\u4ee5\u4f7f\u7528\u6211\u4eec\u7684 FFT\u5206\u8fa8\u7387\u8ba1\u7b97\u5668<\/a>.<\/p>\n

\u6709\u4e00\u79cd\u65b9\u6cd5\u53ef\u4ee5\u901a\u8fc7\u5728\u91c7\u6837\u9635\u5217\u4e2d\u6dfb\u52a0\u96f6\u6765\u4eba\u4e3a\u5ef6\u957f\u4fe1\u53f7\u6301\u7eed\u65f6\u95f4\u3002\u4f46\u8fd9\u5e76\u4e0d\u80fd\u63d0\u9ad8\u5b9e\u9645\u9891\u7387\u5206\u8fa8\u7387\u3002<\/p>\n

\u79bb\u6563\u4fe1\u53f7\u4e0e\u79bb\u6563\u5085\u91cc\u53f6\u53d8\u6362<\/h2>\n

\u968f\u7740\u6570\u5b57\u6280\u672f\u7684\u53d1\u5c55\uff0c\u6d4b\u91cf\u6570\u636e\uff08\u4fe1\u53f7\uff09\u7684\u5b58\u50a8\u65b9\u5f0f\u4e5f\u53d1\u751f\u4e86\u53d8\u5316\u3002\u4ee5\u524d\uff0c\u4fe1\u53f7\u53ef\u4ee5\u8bb0\u5f55\u5728\u78c1\u5e26\u5f55\u97f3\u673a\u4e0a\uff0c\u5e76\u4ee5\u6a21\u62df\u5f62\u5f0f\u5b58\u50a8\u5728\u78c1\u5e26\u4e0a\uff0c\u800c\u73b0\u5728\uff0c\u4fe1\u53f7\u5df2\u7ecf\u6570\u5b57\u5316\uff0c\u5e76\u4ee5\u4e00\u7ec4\u6570\u5b57\uff08\u8ba1\u6570\uff09\u7684\u5f62\u5f0f\u5b58\u50a8\u5728\u8ba1\u7b97\u673a\u5185\u5b58\u7684\u6587\u4ef6\u4e2d\u3002<\/p>\n

\u4fe1\u53f7\u6d4b\u91cf\u548c\u6570\u5b57\u5316\u7684\u901a\u5e38\u65b9\u6848\u5982\u4e0b\u3002<\/p>\n

\u6d4b\u91cf\u4f20\u611f\u5668 -- \u4fe1\u53f7\u5f52\u4e00\u5316\u5668 -- ADC -- \u8ba1\u7b97\u673a
\n(\u56fe 9 \u6d4b\u91cf\u901a\u9053\u793a\u610f\u56fe\uff09<\/p>\n

<\/span><\/i><\/em><\/p>\n

\u6765\u81ea\u6d4b\u91cf\u4f20\u611f\u5668\u7684\u4fe1\u53f7\u5728 T \u65f6\u95f4\u6bb5\u5185\u8fdb\u5165 ADC\u3002\u5728 T \u65f6\u95f4\u6bb5\u5185\u6536\u5230\u7684\u4fe1\u53f7\u8bfb\u6570\uff08\u91c7\u6837\uff09\u88ab\u4f20\u8f93\u5230\u8ba1\u7b97\u673a\u5e76\u4fdd\u5b58\u5728\u5b58\u50a8\u5668\u4e2d\u3002<\/p>\n

\"\u56fe

\u56fe 10 \u6570\u5b57\u5316\u4fe1\u53f7 - \u65f6\u95f4 T \u63a5\u6536\u5230 N \u4e2a\u6837\u672c<\/p><\/div>\n

\u5bf9\u4fe1\u53f7\u6570\u5b57\u5316\u53c2\u6570\u6709\u54ea\u4e9b\u8981\u6c42\uff1f\u5c06\u8f93\u5165\u6a21\u62df\u4fe1\u53f7\u8f6c\u6362\u4e3a\u79bb\u6563\u4ee3\u7801\uff08\u6570\u5b57\u4fe1\u53f7\uff09\u7684\u8bbe\u5907\u79f0\u4e3a\u6a21\u6570\u8f6c\u6362\u5668 (ADC) (\u00a9 Wiki)\u3002<\/p>\n

ADC \u7684\u57fa\u672c\u53c2\u6570\u4e4b\u4e00\u662f\u6700\u5927\u91c7\u6837\u7387\uff0c\u5373\u5bf9\u65f6\u95f4\u4e0a\u8fde\u7eed\u7684\u4fe1\u53f7\u8fdb\u884c\u91c7\u6837\u7684\u9891\u7387\u3002\u91c7\u6837\u7387\u4ee5\u8d6b\u5179\u4e3a\u5355\u4f4d\u3002((\u00a9 Wiki))<\/p>\n

\u6839\u636e Kotelnikov’s \u5b9a\u7406\uff0c\u5982\u679c\u8fde\u7eed\u4fe1\u53f7\u7684\u9891\u8c31\u53d7\u9650\u4e8e\u9891\u7387 Fmax\uff0c\u5219\u53ef\u4ee5\u901a\u8fc7\u65f6\u95f4\u95f4\u9694 \u0394t \u2264 1\/(2*Fmax) \u7684\u79bb\u6563\u91c7\u6837\u5b8c\u6574\u4e14\u552f\u4e00\u5730\u91cd\u6784\uff0c\u5373\u91c7\u6837\u9891\u7387 Fd \u2265 2*Fmax\uff0c\u5176\u4e2d Fd – \u91c7\u6837\u9891\u7387\uff1bFmax – \u4fe1\u53f7\u9891\u8c31\u7684\u6700\u9ad8\u9891\u7387\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u4fe1\u53f7\u6570\u5b57\u5316\u9891\u7387\uff08ADC \u7684\u91c7\u6837\u9891\u7387\uff09\u5fc5\u987b\u81f3\u5c11\u662f\u6211\u4eec\u8981\u6d4b\u91cf\u7684\u4fe1\u53f7\u6700\u9ad8\u9891\u7387\u7684\u4e24\u500d\u3002<\/p>\n

\u5982\u679c\u6211\u4eec\u91c7\u96c6\u6837\u672c\u7684\u9891\u7387\u4f4e\u4e8e\u79d1\u6377\u5c14\u5c3c\u79d1\u592b\u5b9a\u7406\u7684\u8981\u6c42\uff0c\u4f1a\u53d1\u751f\u4ec0\u4e48\u60c5\u51b5\u5462\uff1f<\/p>\n

\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6709\u4e00\u4e2a\u201c\u6df7\u53e0<\/a>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u5c31\u4f1a\u51fa\u73b0 \"\u6df7\u53e0 \"\u6548\u5e94\uff08\u53c8\u79f0\u9891\u95ea\u6548\u5e94\u3001\u6469\u5c14\u7eb9\u6548\u5e94\uff09\uff0c\u5373\u6570\u5b57\u5316\u540e\u7684\u9ad8\u9891\u4fe1\u53f7\u53d8\u6210\u4e86\u5b9e\u9645\u4e0a\u5e76\u4e0d\u5b58\u5728\u7684\u4f4e\u9891\u4fe1\u53f7\u3002\u5728\u56fe 11 \u4e2d\uff0c\u7ea2\u8272\u7684\u9ad8\u9891\u6b63\u5f26\u6ce2\u662f\u771f\u5b9e\u4fe1\u53f7\u3002\u4f4e\u9891\u7684\u84dd\u8272\u6b63\u5f26\u6ce2\u662f\u865a\u5047\u4fe1\u53f7\uff0c\u4ea7\u751f\u7684\u539f\u56e0\u662f\u5728\u91c7\u6837\u8fc7\u7a0b\u4e2d\uff0c\u9ad8\u9891\u4fe1\u53f7\u6709\u8d85\u8fc7\u534a\u4e2a\u5468\u671f\u7684\u65f6\u95f4\u7ecf\u8fc7\u3002<\/p>\n

\"\u56fe

\u56fe 11.\u91c7\u6837\u7387\u4e0d\u591f\u9ad8\u65f6\u51fa\u73b0\u7684\u6742\u6563\u4f4e\u9891\u4fe1\u53f7<\/p><\/div>\n

 <\/p>\n

\u4e3a\u907f\u514d\u952f\u9f7f\u6548\u5e94\uff0c\u9700\u8981\u4f7f\u7528\u4e00\u79cd\u7279\u6b8a\u7684\u6297\u952f\u9f7f\u6ee4\u6ce2\u5668\uff08\u4f4e\u901a\u6ee4\u6ce2\u5668<\/a>) \u7f6e\u4e8e ADC \u4e4b\u524d\u3002\u5b83\u5141\u8bb8\u4f4e\u4e8e ADC \u91c7\u6837\u9891\u7387\u4e00\u534a\u7684\u9891\u7387\u901a\u8fc7\uff0c\u5e76\u622a\u65ad\u66f4\u9ad8\u9891\u7387\u3002<\/p>\n

\u4e3a\u4e86\u6839\u636e\u79bb\u6563\u91c7\u6837\u70b9\u8ba1\u7b97\u4fe1\u53f7\u9891\u8c31\uff0c\u79bb\u6563 \u5085\u91cc\u53f6\u53d8\u6362\uff08DFT\uff09<\/a> \u88ab\u4f7f\u7528\u3002\u518d\u6b21\u6ce8\u610f\uff0c\u79bb\u6563\u4fe1\u53f7\u7684\u9891\u8c31\u201c\u6839\u636e\u5b9a\u4e49\u201d\u4ec5\u9650\u4e8e\u5c0f\u4e8e\u91c7\u6837\u9891\u7387 Fd \u4e00\u534a\u7684\u9891\u7387 Fmax\u3002\u56e0\u6b64\uff0c\u79bb\u6563\u4fe1\u53f7\u7684\u9891\u8c31\u53ef\u4ee5\u7528\u4ee5\u4e0b\u548c\u5f0f\u8868\u793a\uff1a \u6709\u9650 <\/u>\u4e0e\u8fde\u7eed\u4fe1\u53f7\u5085\u91cc\u53f6\u7ea7\u6570\u7684\u65e0\u9650\u548c\u76f8\u53cd\uff0c\u8c10\u6ce2\u7684\u9891\u8c31\u53ef\u4ee5\u662f\u65e0\u9650\u7684\u3002\u6839\u636e\u79d1\u6377\u5c14\u5c3c\u79d1\u592b\u5b9a\u7406\uff0c\u8c10\u6ce2\u7684\u6700\u5927\u9891\u7387\u5fc5\u987b\u81f3\u5c11\u5360\u4e24\u4e2a\u6837\u672c\uff0c\u56e0\u6b64\u8c10\u6ce2\u6570\u7b49\u4e8e\u79bb\u6563\u4fe1\u53f7\u6837\u672c\u6570\u7684\u4e00\u534a\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5982\u679c\u6837\u672c\u4e2d\u6709 N \u4e2a\u6837\u672c\uff0c\u9891\u8c31\u4e2d\u7684\u8c10\u6ce2\u6570\u5c06\u4e3a N\/2\u3002<\/p>\n

\u73b0\u5728\u6765\u770b\u770b\u79bb\u6563\u5085\u7acb\u53f6\u53d8\u6362\uff08DFT\uff09\u3002<\/p>\n

\"\u79bb\u6563\u5085\u91cc\u53f6\u53d8\u6362\uff08DFT\uff09\u65b9\u7a0b\"<\/p>\n

\u4e0e\u5085\u91cc\u53f6\u7ea7\u6570\u6bd4\u8f83<\/p>\n

 <\/p>\n

\"\u4e0e\u5085\u91cc\u53f6\u7ea7\u6570\u5bf9\u6bd4\u7684\u79bb\u6563\u5085\u91cc\u53f6\u53d8\u6362\u9891\u8c31\u516c\u5f0f\"<\/p>\n

\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u4e24\u8005\u4e0d\u8c0b\u800c\u5408\uff0c\u53ea\u662f FFT \u4e2d\u7684\u65f6\u95f4\u662f\u79bb\u6563\u7684\uff0c\u8c10\u6ce2\u6570\u9650\u5236\u5728 N\/2\uff0c\u5373\u6837\u672c\u6570\u7684\u4e00\u534a\u3002<\/p>\n

DFT \u516c\u5f0f\u7528\u65e0\u91cf\u7eb2\u6574\u6570\u53d8\u91cf k\u3001s \u8868\u793a\uff0c\u5176\u4e2d k \u662f\u4fe1\u53f7\u6837\u672c\u6570\uff0cs \u662f\u9891\u8c31\u6210\u5206\u6570\u3002
\n\u6570\u503c s \u8868\u793a\u6bcf\u4e2a\u5468\u671f T\uff08\u4fe1\u53f7\u6d4b\u91cf\u6301\u7eed\u65f6\u95f4\uff09\u5185\u5168\u8c10\u6ce2\u632f\u8361\u7684\u6b21\u6570\u3002\u79bb\u6563\u5085\u91cc\u53f6\u53d8\u6362\u7528\u4e8e\u6570\u503c\u8ba1\u7b97\u8c10\u6ce2\u7684\u632f\u5e45\u548c\u76f8\u4f4d\uff0c\u5373 \"\u5728\u8ba1\u7b97\u673a\u4e0a \"\u8ba1\u7b97\u8c10\u6ce2\u7684\u632f\u5e45\u548c\u76f8\u4f4d\u3002<\/p>\n

\u5982\u4e0a\u6240\u8ff0\uff0c\u5c06\u975e\u5468\u671f\u6027\u51fd\u6570\uff08\u6211\u4eec\u7684\u4fe1\u53f7\uff09\u5206\u89e3\u4e3a\u5085\u91cc\u53f6\u7ea7\u6570\u65f6\uff0c\u5f97\u5230\u7684\u5085\u91cc\u53f6\u7ea7\u6570\u5b9e\u9645\u4e0a\u5bf9\u5e94\u4e8e\u5468\u671f\u4e3a T \u7684\u5468\u671f\u6027\u51fd\u6570\uff08\u56fe 12\uff09\u3002<\/p>\n

 <\/p>\n

\"\u56fe

\u56fe 12.\u5468\u671f\u4e3a T0\uff0c\u5468\u671f T>T0 \u7684\u5468\u671f\u51fd\u6570 f(x)<\/p><\/div>\n

 <\/p>\n

\u5982\u56fe12\u6240\u793a\uff0c\u51fd\u6570 f(x) \u5177\u6709\u5468\u671f T0\u3002\u7136\u800c\uff0c\u7531\u4e8e\u6d4b\u91cf\u91c7\u6837\u957f\u5ea6 T \u4e0d\u7b49\u4e8e\u51fd\u6570\u5468\u671f T0\uff0c\u56e0\u6b64\u4f5c\u4e3a\u5085\u91cc\u53f6\u7ea7\u6570\u5f97\u5230\u7684\u51fd\u6570\u5728\u70b9 T \u5904\u5b58\u5728\u4e0d\u8fde\u7eed\u6027\u3002\u7ed3\u679c\uff0c\u8be5\u51fd\u6570\u7684\u9891\u8c31\u5c06\u5305\u542b\u5927\u91cf\u9ad8\u9891\u8c10\u6ce2\u3002\u8fd9\u4e00\u73b0\u8c61\u88ab\u79f0\u4e3a \u9891\u8c31\u6cc4\u6f0f<\/a>\uff0c\u800c\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u5b83\u88ab\u7b80\u5316\u4e3a \u7a97\u53e3\u5316<\/a> \u53d8\u6362\u524d\u7684\u4fe1\u53f7\u3002\u5982\u679c\u6d4b\u91cf\u6837\u672c T \u7684\u6301\u7eed\u65f6\u95f4\u4e0e\u51fd\u6570 T0 \u7684\u5468\u671f\u76f8\u543b\u5408\uff0c\u90a3\u4e48\u5085\u91cc\u53f6\u53d8\u6362\u540e\u5f97\u5230\u7684\u9891\u8c31\u5c06\u4ec5\u5305\u542b\u7b2c\u4e00\u8c10\u6ce2\uff08\u4e00\u4e2a\u5468\u671f\u7b49\u4e8e\u6837\u672c\u6301\u7eed\u65f6\u95f4\u7684\u6b63\u5f26\u6ce2\uff09\uff0c\u56e0\u4e3a\u51fd\u6570 f(x) \u662f\u4e00\u4e2a\u6b63\u5f26\u6ce2\u3002<\/p>\n

\u6362\u53e5\u8bdd\u8bf4\uff0cDFT \u7a0b\u5e8f \"\u4e0d\u77e5\u9053 \"\u6211\u4eec\u7684\u4fe1\u53f7\u662f\u4e00\u4e2a \"\u6b63\u5f26\u6ce2\u7247\u6bb5\"\uff0c\u800c\u662f\u8bd5\u56fe\u5c06\u4e00\u4e2a\u5468\u671f\u6027\u51fd\u6570\u8868\u793a\u4e3a\u4e00\u4e2a\u5e8f\u5217\uff0c\u800c\u8fd9\u4e2a\u5e8f\u5217\u7531\u4e8e\u6b63\u5f26\u6ce2\u5404\u4e2a\u7247\u6bb5\u7684\u4e0d\u8fde\u7eed\u6027\u800c\u5177\u6709\u4e0d\u8fde\u7eed\u6027\u3002<\/p>\n

\u56e0\u6b64\uff0c\u9891\u8c31\u4e2d\u4f1a\u51fa\u73b0\u8c10\u6ce2\uff0c\u603b\u7684\u6765\u8bf4\uff0c\u8c10\u6ce2\u5e94\u4ee3\u8868\u51fd\u6570\u7684\u5f62\u72b6\uff0c\u5305\u62ec\u8fd9\u79cd\u4e0d\u8fde\u7eed\u6027\u3002<\/p>\n

\u56e0\u6b64\uff0c\u8981\u83b7\u5f97\u7531\u591a\u4e2a\u4e0d\u540c\u5468\u671f\u6b63\u5f26\u6ce2\u76f8\u52a0\u800c\u6210\u7684\u4fe1\u53f7\u7684 \"\u6b63\u786e \"\u9891\u8c31\uff0c\u5fc5\u987b\u6709\u4e00\u4e2a \u6574\u6570\u671f <\/u>\u6bcf\u4e2a\u6b63\u5f26\u6ce2\u90fd\u5e94\u51fa\u73b0\u5728\u4fe1\u53f7\u7684\u6d4b\u91cf\u5468\u671f\u5185\u3002\u5b9e\u9645\u4e0a\uff0c\u53ea\u8981\u4fe1\u53f7\u6d4b\u91cf\u65f6\u95f4\u8db3\u591f\u957f\uff0c\u5c31\u80fd\u6ee1\u8db3\u8fd9\u4e00\u6761\u4ef6\u3002<\/p>\n

 <\/p>\n

\"\u56fe

\u56fe 13 \u9f7f\u8f6e\u7bb1\u8fd0\u52a8\u8bef\u5dee\u4fe1\u53f7\u51fd\u6570\u548c\u9891\u8c31\u793a\u4f8b<\/p><\/div>\n

 <\/p>\n

\u5982\u679c\u6301\u7eed\u65f6\u95f4\u8f83\u77ed\uff0c\u753b\u9762\u770b\u8d77\u6765\u4f1a \"\u66f4\u7cdf\u7cd5\"\uff1a<\/p>\n

 <\/p>\n

\"\u56fe

\u56fe 14 \u8f6c\u5b50\u632f\u52a8\u51fd\u6570\u548c\u9891\u8c31\u793a\u4f8b<\/p><\/div>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

\u5728\u5b9e\u8df5\u4e2d\uff0c\u5f88\u96be\u7406\u89e3\u54ea\u91cc\u662f \"\u771f\u6b63\u7684\u6210\u5206\"\uff0c\u54ea\u91cc\u662f\u6210\u5206\u5468\u671f\u548c\u4fe1\u53f7\u91c7\u6837\u6301\u7eed\u65f6\u95f4\u4e0d\u4e00\u81f4\u6216\u6ce2\u5f62 \"\u8df3\u8dc3\u548c\u65ad\u88c2 \"\u9020\u6210\u7684 \"\u4f2a\u50cf\"\u3002\u5f53\u7136\uff0c\"\u771f\u5b9e\u6210\u5206 \"\u548c \"\u4f2a\u50cf \"\u8fd9\u4e24\u4e2a\u8bcd\u662f\u6709\u5f15\u53f7\u7684\u3002\u9891\u8c31\u56fe\u4e0a\u51fa\u73b0\u8bb8\u591a\u8c10\u6ce2\u5e76\u4e0d\u610f\u5473\u7740\u6211\u4eec\u7684\u4fe1\u53f7\u5b9e\u9645\u4e0a\u7531\u8fd9\u4e9b\u8c10\u6ce2\u7ec4\u6210\u3002\u8fd9\u5c31\u597d\u6bd4\u8ba4\u4e3a\u6570\u5b57 7 \u7531\u6570\u5b57 3 \u548c 4 \"\u7ec4\u6210 \"\u4e00\u6837\u3002\u6570\u5b57 7 \u53ef\u4ee5\u770b\u4f5c\u662f 3 \u548c 4 \u7684\u548c\uff0c\u8fd9\u662f\u6b63\u786e\u7684\u3002<\/p>\n

\u56e0\u6b64\uff0c\u6211\u4eec\u7684\u4fe1\u53f7......\u6216\u8005\u8bf4\u751a\u81f3\u4e0d\u662f \"\u6211\u4eec\u7684\u4fe1\u53f7\"\uff0c\u800c\u662f\u901a\u8fc7\u91cd\u590d\u6211\u4eec\u7684\u4fe1\u53f7\uff08\u6837\u672c\uff09\u6784\u6210\u7684\u5468\u671f\u51fd\u6570\uff0c\u53ef\u4ee5\u8868\u793a\u4e3a\u5177\u6709\u4e00\u5b9a\u632f\u5e45\u548c\u76f8\u4f4d\u7684\u8c10\u6ce2\uff08\u6b63\u5f26\u6ce2\uff09\u4e4b\u548c\u3002\u4f46\u5728\u8bb8\u591a\u91cd\u8981\u7684\u5b9e\u8df5\u6848\u4f8b\u4e2d\uff08\u89c1\u4e0a\u56fe\uff09\uff0c\u6211\u4eec\u786e\u5b9e\u53ef\u4ee5\u5c06\u9891\u8c31\u4e2d\u83b7\u5f97\u7684\u8c10\u6ce2\u4e0e\u5177\u6709\u5468\u671f\u7279\u5f81\u5e76\u5bf9\u4fe1\u53f7\u5f62\u5f0f\u6709\u91cd\u8981\u5f71\u54cd\u7684\u5b9e\u9645\u8fc7\u7a0b\u8054\u7cfb\u8d77\u6765\u3002<\/p>\n

\u4e00\u4e9b\u6210\u679c<\/h2>\n

1.\u6301\u7eed\u65f6\u95f4\u4e3a T \u79d2\u7684\u771f\u5b9e\u6d4b\u91cf\u4fe1\u53f7\u7ecf ADC \u6570\u5b57\u5316\u540e\uff0c\u7531\u4e00\u7ec4\u79bb\u6563\u6837\u672c\uff08N \u4e2a\uff09\u8868\u793a\uff0c\u5176\u79bb\u6563\u975e\u5468\u671f\u9891\u8c31\u7531\u4e00\u7ec4\u8c10\u6ce2\uff08N\/2 \u4e2a\uff09\u8868\u793a\u3002<\/p>\n

2. \u4fe1\u53f7\u7531\u4e00\u7ec4\u5b9e\u6570\u503c\u8868\u793a\u3002\u5176 DFT \u9891\u8c31\u662f\u4e00\u7ec4\u5177\u6709\u5171\u8f6d\u5bf9\u79f0\u6027\u7684\u590d\u7cfb\u6570\uff1b\u7531\u6b64\u5f97\u5230\u5e45\u503c\u8c31 \u2014 \u5373\u6b63\u9891\u7387\u5904\u7684\u4e00\u7ec4\u5b9e\u6570\u975e\u8d1f\u5e45\u503c\uff08\u4ee5\u53ca\u76f8\u4f4d\uff09\uff0c\u800c\u5b9e\u9645\u7ed8\u5236\u7684\u6b63\u662f\u8fd9\u79cd\u5355\u8fb9\u5e45\u503c\u8c31\u3002\u5177\u6709\u8d1f\u9891\u7387\u7684\u53cc\u8fb9\u590d\u6570\u5f62\u5f0f\u4e0e\u5355\u8fb9\u5e45\u503c\/\u76f8\u4f4d\u5f62\u5f0f\u662f\u540c\u4e00\u9891\u8c31\u7684\u7b49\u4ef7\u8868\u793a \u2014 \u5bf9\u4e8e\u4fe1\u53f7\u5206\u6790\u6765\u8bf4\uff0c\u901a\u5e38\u4f7f\u7528\u5355\u8fb9\u5e45\u503c\u8c31\u66f4\u65b9\u4fbf\u3002<\/p>\n

3.\u5728\u65f6\u95f4 T \u5185\u6d4b\u5f97\u7684\u4fe1\u53f7\u4ec5\u5728\u65f6\u95f4 T \u5185\u88ab\u786e\u5b9a\u3002\u5728\u5f00\u59cb\u6d4b\u91cf\u4fe1\u53f7\u4e4b\u524d\u53d1\u751f\u4e86\u4ec0\u4e48\uff0c\u4ee5\u53ca\u4e4b\u540e\u4f1a\u53d1\u751f\u4ec0\u4e48\uff0c\u79d1\u5b66\u65e0\u4ece\u77e5\u6653\u3002\u5c31\u6211\u4eec\u800c\u8a00\uff0c\u8fd9\u5e76\u4e0d\u91cd\u8981\u3002\u9650\u65f6\u4fe1\u53f7\u7684 FFT \u53ef\u4ee5\u7ed9\u51fa\u5176\u201c\u771f\u5b9e\u201d\u9891\u8c31\uff0c\u5373\u5728\u7279\u5b9a\u6761\u4ef6\u4e0b\u53ef\u4ee5\u8ba1\u7b97\u51fa\u5176\u5206\u91cf\u7684\u632f\u5e45\u548c\u9891\u7387\u3002<\/p>\n

 <\/p>","protected":false},"excerpt":{"rendered":"

Application of the Fourier Transform to the Analysis of Vibration Signals Andrei Shelkovenko. One of the developers and founder of Vibromera. The translation of the article may contain inaccuracies. Fourier transform and signal spectrum In many cases the task of obtaining (calculating) the spectrum of a signal is as follows. […]<\/p>\n","protected":false},"author":2,"featured_media":2161,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ai_generated_summary":"","footnotes":""},"categories":[4],"tags":[],"class_list":["post-2138","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-example"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/zh\/wp-json\/wp\/v2\/posts\/2138","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vibromera.eu\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vibromera.eu\/zh\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/vibromera.eu\/zh\/wp-json\/wp\/v2\/comments?post=2138"}],"version-history":[{"count":2,"href":"https:\/\/vibromera.eu\/zh\/wp-json\/wp\/v2\/posts\/2138\/revisions"}],"predecessor-version":[{"id":102137,"href":"https:\/\/vibromera.eu\/zh\/wp-json\/wp\/v2\/posts\/2138\/revisions\/102137"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/vibromera.eu\/zh\/wp-json\/wp\/v2\/media\/2161"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/zh\/wp-json\/wp\/v2\/media?parent=2138"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/zh\/wp-json\/wp\/v2\/categories?post=2138"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/zh\/wp-json\/wp\/v2\/tags?post=2138"}],"curies":[{"name":"\u53ef\u6e7f\u6027\u7c89\u5242","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}