{"id":28937,"date":"2023-09-16T20:10:22","date_gmt":"2023-09-16T12:10:22","guid":{"rendered":"https:\/\/www.techphant.cn\/?p=28937"},"modified":"2023-09-16T20:10:22","modified_gmt":"2023-09-16T12:10:22","slug":"pywftxgs","status":"publish","type":"post","link":"https:\/\/www.techphant.cn\/blog\/28937.html","title":{"rendered":"\u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f"},"content":{"rendered":"

  \u5fae\u5206\u662f\u6570\u5b66\u4e2d\u7684\u4e00\u4e2a\u91cd\u8981\u6982\u5ff5\uff0c\u5b83\u662f\u6c42\u89e3\u51fd\u6570\u53d8\u5316\u7387\u7684\u4e00\u79cd\u65b9\u6cd5\uff0c\u4e5f\u662f\u5f88\u591a\u5de5\u7a0b\u8ba1\u7b97\u4e2d\u7684\u57fa\u7840\u3002\u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f\u662f\u7528\u6765\u8ba1\u7b97\u9891\u57df\u4e2d\u4fe1\u53f7\u7684\u53d8\u5316\u7387\u7684\u4e00\u79cd\u65b9\u6cd5\uff0c\u5b83\u662f\u4e00\u4e2a\u91cd\u8981\u7684\u6570\u5b66\u5de5\u5177\uff0c\u53ef\u4ee5\u7528\u6765\u5206\u6790\u4fe1\u53f7\u7684\u53d8\u5316\u7279\u6027\uff0c\u4ece\u800c\u66f4\u597d\u5730\u7406\u89e3\u4fe1\u53f7\u7684\u7279\u6027\u3002\u672c\u6587\u5c06\u4ecb\u7ecd\u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f\u7684\u6982\u5ff5\uff0c\u4ee5\u53ca\u5b83\u7684\u5e94\u7528\u548c\u5b9e\u9645\u8ba1\u7b97\u65b9\u6cd5\u3002<\/p>\n

\u4ec0\u4e48\u662f\u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f<\/h2>\n

  \u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f\u662f\u4e00\u79cd\u8ba1\u7b97\u9891\u57df\u4fe1\u53f7\u53d8\u5316\u7387\u7684\u65b9\u6cd5\uff0c\u5b83\u662f\u4e00\u79cd\u7ecf\u5178\u7684\u6570\u5b66\u5de5\u5177\uff0c\u53ef\u4ee5\u7528\u6765\u5206\u6790\u9891\u57df\u4fe1\u53f7\u7684\u53d8\u5316\u7279\u6027\uff0c\u4ece\u800c\u66f4\u597d\u5730\u7406\u89e3\u4fe1\u53f7\u7684\u7279\u6027\u3002<\/strong>\u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f\u7684\u57fa\u672c\u5f62\u5f0f\u662f\uff1a<\/p>\n

  $$frac{d^nX(jomega)}{domega^n}=j^nX(jomega)$$<\/p>\n

  \u5176\u4e2d\uff0c$X(jomega)$\u8868\u793a\u4fe1\u53f7\u5728\u9891\u57df\u7684\u8868\u793a\uff0c$omega$\u8868\u793a\u9891\u7387\uff0c$n$\u8868\u793a\u5fae\u5206\u6b21\u6570\uff0c$j^n$\u8868\u793a\u590d\u6570\u7684$n$\u6b21\u65b9\u3002\u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f\u53ef\u4ee5\u7528\u6765\u8ba1\u7b97\u4fe1\u53f7\u5728\u9891\u57df\u7684\u53d8\u5316\u7387\uff0c\u4ece\u800c\u66f4\u597d\u5730\u7406\u89e3\u4fe1\u53f7\u7684\u7279\u6027\u3002<\/p>\n

\u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f\u7684\u5e94\u7528<\/h2>\n

  \u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f\u53ef\u4ee5\u7528\u6765\u5206\u6790\u4fe1\u53f7\u7684\u53d8\u5316\u7279\u6027\uff0c\u4ece\u800c\u66f4\u597d\u5730\u7406\u89e3\u4fe1\u53f7\u7684\u7279\u6027\u3002\u5b83\u53ef\u4ee5\u7528\u6765\u8ba1\u7b97\u4fe1\u53f7\u7684\u5e45\u9891\u7279\u6027\uff0c\u4ece\u800c\u66f4\u597d\u5730\u5206\u6790\u4fe1\u53f7\u7684\u9891\u7387\u7279\u6027\uff0c\u4ece\u800c\u66f4\u597d\u5730\u8bbe\u8ba1\u4fe1\u53f7\u5904\u7406\u7cfb\u7edf\u3002\u6b64\u5916\uff0c\u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f\u8fd8\u53ef\u4ee5\u7528\u6765\u8ba1\u7b97\u4fe1\u53f7\u7684\u9891\u7387\u54cd\u5e94\uff0c\u4ece\u800c\u66f4\u597d\u5730\u63a7\u5236\u4fe1\u53f7\u7684\u9891\u7387\u7279\u6027\uff0c\u4ece\u800c\u66f4\u597d\u5730\u63a7\u5236\u4fe1\u53f7\u5904\u7406\u7cfb\u7edf\u7684\u6027\u80fd\u3002<\/p>\n

\u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f\u7684\u5b9e\u9645\u8ba1\u7b97<\/h2>\n

  \u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f\u7684\u5b9e\u9645\u8ba1\u7b97\u65b9\u6cd5\u662f\u5229\u7528\u5085\u91cc\u53f6\u53d8\u6362\u5c06\u4fe1\u53f7\u4ece\u65f6\u57df\u8f6c\u6362\u5230\u9891\u57df\uff0c\u7136\u540e\u6839\u636e\u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f\u8ba1\u7b97\u9891\u57df\u4fe1\u53f7\u7684\u53d8\u5316\u7387\uff0c\u4ece\u800c\u66f4\u597d\u5730\u7406\u89e3\u4fe1\u53f7\u7684\u7279\u6027\u3002\u9996\u5148\uff0c\u5c06\u4fe1\u53f7\u4ece\u65f6\u57df\u53d8\u6362\u5230\u9891\u57df\uff0c\u5373\uff1a<\/p>\n

  $$X(jomega)=int_{-infty}^{infty}x(t)e^{-jomega t}dt$$<\/p>\n

  \u5176\u4e2d\uff0c$x(t)$\u8868\u793a\u4fe1\u53f7\u5728\u65f6\u57df\u7684\u8868\u793a\uff0c$omega$\u8868\u793a\u9891\u7387\uff0c$j$\u8868\u793a\u865a\u6570\u5355\u4f4d\u3002\u7136\u540e\uff0c\u6839\u636e\u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f\u8ba1\u7b97\u9891\u57df\u4fe1\u53f7\u7684\u53d8\u5316\u7387\uff0c\u5373\uff1a<\/p>\n

  $$frac{d^nX(jomega)}{domega^n}=j^nX(jomega)$$<\/p>\n

  \u6700\u540e\uff0c\u5c06\u9891\u57df\u4fe1\u53f7\u7684\u53d8\u5316\u7387\u53d8\u6362\u5230\u65f6\u57df\uff0c\u5373\uff1a<\/p>\n

  $$frac{d^nx(t)}{dt^n}=frac{1}{2pi}int_{-infty}^{infty}frac{d^nX(jomega)}{domega^n}e^{jomega t}domega$$<\/p>\n

\u603b\u7ed3<\/h2>\n

  \u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f\u662f\u4e00\u79cd\u8ba1\u7b97\u9891\u57df\u4fe1\u53f7\u53d8\u5316\u7387\u7684\u65b9\u6cd5\uff0c\u5b83\u662f\u4e00\u79cd\u7ecf\u5178\u7684\u6570\u5b66\u5de5\u5177\uff0c\u53ef\u4ee5\u7528\u6765\u5206\u6790\u9891\u57df\u4fe1\u53f7\u7684\u53d8\u5316\u7279\u6027\uff0c\u4ece\u800c\u66f4\u597d\u5730\u7406\u89e3\u4fe1\u53f7\u7684\u7279\u6027\u3002<\/strong>\u5b83\u53ef\u4ee5\u7528\u6765\u8ba1\u7b97\u4fe1\u53f7\u7684\u5e45\u9891\u7279\u6027\uff0c\u4ece\u800c\u66f4\u597d\u5730\u5206\u6790\u4fe1\u53f7\u7684\u9891\u7387\u7279\u6027\uff0c\u4ece\u800c\u66f4\u597d\u5730\u8bbe\u8ba1\u4fe1\u53f7\u5904\u7406\u7cfb\u7edf\uff0c\u4e5f\u53ef\u4ee5\u7528\u6765\u8ba1\u7b97\u4fe1\u53f7\u7684\u9891\u7387\u54cd\u5e94\uff0c\u4ece\u800c\u66f4\u597d\u5730\u63a7\u5236\u4fe1\u53f7\u7684\u9891\u7387\u7279\u6027\uff0c\u4ece\u800c\u66f4\u597d\u5730\u63a7\u5236\u4fe1\u53f7\u5904\u7406\u7cfb\u7edf\u7684\u6027\u80fd\u3002\u5b9e\u9645\u8ba1\u7b97\u65b9\u6cd5\u662f\u5229\u7528\u5085\u91cc\u53f6\u53d8\u6362\u5c06\u4fe1\u53f7\u4ece\u65f6\u57df\u8f6c\u6362\u5230\u9891\u57df\uff0c\u7136\u540e\u6839\u636e\u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f\u8ba1\u7b97\u9891\u57df\u4fe1\u53f7\u7684\u53d8\u5316\u7387\uff0c\u4ece\u800c\u66f4\u597d\u5730\u7406\u89e3\u4fe1\u53f7\u7684\u7279\u6027\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u5fae\u5206\u662f\u6570\u5b66\u4e2d\u7684\u4e00\u4e2a\u91cd\u8981\u6982\u5ff5\uff0c\u5b83\u662f\u6c42\u89e3\u51fd\u6570\u53d8\u5316\u7387\u7684\u4e00\u79cd\u65b9\u6cd5\uff0c\u4e5f\u662f\u5f88\u591a\u5de5\u7a0b\u8ba1\u7b97\u4e2d\u7684\u57fa\u7840\u3002\u9891\u57df\u5fae\u5206\u7279\u6027\u516c\u5f0f\u662f\u7528\u6765\u8ba1\u7b97\u9891\u57df\u4e2d\u4fe1\u53f7\u7684\u53d8\u5316\u7387\u7684\u4e00\u79cd\u65b9\u6cd5\uff0c\u5b83\u662f\u4e00\u4e2a\u91cd\u8981\u7684\u6570\u5b66\u5de5\u5177\uff0c\u53ef\u4ee5\u7528<\/p>\n","protected":false},"author":1,"featured_media":3671,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","footnotes":""},"categories":[36],"tags":[52],"class_list":["post-28937","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-blog","tag-wxtx"],"_links":{"self":[{"href":"https:\/\/www.techphant.cn\/wp-json\/wp\/v2\/posts\/28937","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.techphant.cn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.techphant.cn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.techphant.cn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.techphant.cn\/wp-json\/wp\/v2\/comments?post=28937"}],"version-history":[{"count":0,"href":"https:\/\/www.techphant.cn\/wp-json\/wp\/v2\/posts\/28937\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.techphant.cn\/wp-json\/wp\/v2\/media\/3671"}],"wp:attachment":[{"href":"https:\/\/www.techphant.cn\/wp-json\/wp\/v2\/media?parent=28937"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.techphant.cn\/wp-json\/wp\/v2\/categories?post=28937"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.techphant.cn\/wp-json\/wp\/v2\/tags?post=28937"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}