{"id":42,"date":"2026-08-05T14:42:40","date_gmt":"2026-08-05T06:42:40","guid":{"rendered":"https:\/\/www.houyy.cn\/?p=42"},"modified":"2026-08-05T14:42:40","modified_gmt":"2026-08-05T06:42:40","slug":"opt-fft","status":"publish","type":"post","link":"https:\/\/www.houyy.com\/index.php\/2026\/08\/05\/opt-fft\/","title":{"rendered":"\u7b80\u5316\u8d44\u6e90\u7684FFT\u5b9e\u73b0"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\">FFT\u539f\u7406<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\"><img loading=\"lazy\" decoding=\"async\" width=\"155\" height=\"21\" src=\"blob:https:\/\/www.houyy.cn\/f68fd2bd-2810-493f-8d04-ff0a52f3fe86\">,<img loading=\"lazy\" decoding=\"async\" width=\"118\" height=\"21\" src=\"blob:https:\/\/www.houyy.cn\/315a1058-6e4a-44f8-984b-28bd05048414\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img loading=\"lazy\" decoding=\"async\" width=\"161\" height=\"21\" src=\"blob:https:\/\/www.houyy.cn\/66e1d210-665b-4591-b29e-c28e1fb1e8e7\">,<img loading=\"lazy\" decoding=\"async\" width=\"118\" height=\"21\" src=\"blob:https:\/\/www.houyy.cn\/c7c2e7e3-10dd-479c-a3e5-dd3378b5c0b6\"><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"101\" height=\"21\" src=\"https:\/\/www.houyy.cn\/wp-content\/uploads\/2026\/08\/image-4.png\" alt=\"\" class=\"wp-image-47\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c06\u6570\u636e\u8fdb\u884c\u5947\u5076\u5206\u7ec4\u53ef\u4ee5\u5f97\u5230<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"326\" height=\"62\" src=\"https:\/\/www.houyy.cn\/wp-content\/uploads\/2026\/08\/image-8.png\" alt=\"\" class=\"wp-image-52\" srcset=\"https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/image-8.png 326w, https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/image-8-300x57.png 300w\" sizes=\"auto, (max-width: 326px) 100vw, 326px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"326\" height=\"62\" src=\"https:\/\/www.houyy.cn\/wp-content\/uploads\/2026\/08\/image-10.png\" alt=\"\" class=\"wp-image-53\" srcset=\"https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/image-10.png 326w, https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/image-10-300x57.png 300w\" sizes=\"auto, (max-width: 326px) 100vw, 326px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u7531\u4e8e\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"291\" height=\"42\" src=\"https:\/\/www.houyy.cn\/wp-content\/uploads\/2026\/08\/image-6.png\" alt=\"\" class=\"wp-image-51\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"322\" height=\"62\" src=\"https:\/\/www.houyy.cn\/wp-content\/uploads\/2026\/08\/image-3.png\" alt=\"\" class=\"wp-image-46\" srcset=\"https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/image-3.png 322w, https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/image-3-300x58.png 300w\" sizes=\"auto, (max-width: 322px) 100vw, 322px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"138\" height=\"21\" src=\"https:\/\/www.houyy.cn\/wp-content\/uploads\/2026\/08\/image-7.png\" alt=\"\" class=\"wp-image-49\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"554\" height=\"125\" src=\"https:\/\/www.houyy.cn\/wp-content\/uploads\/2026\/08\/image-5.png\" alt=\"\" class=\"wp-image-48\" srcset=\"https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/image-5.png 554w, https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/image-5-300x68.png 300w\" sizes=\"auto, (max-width: 554px) 100vw, 554px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">K=0,1,\u2026N\/2-1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"310\" height=\"42\" src=\"https:\/\/www.houyy.cn\/wp-content\/uploads\/2026\/08\/image-11.png\" alt=\"\" class=\"wp-image-54\" srcset=\"https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/image-11.png 310w, https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/image-11-300x41.png 300w\" sizes=\"auto, (max-width: 310px) 100vw, 310px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"358\" height=\"42\" src=\"https:\/\/www.houyy.cn\/wp-content\/uploads\/2026\/08\/image-1.png\" alt=\"\" class=\"wp-image-44\" srcset=\"https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/image-1.png 358w, https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/image-1-300x35.png 300w\" sizes=\"auto, (max-width: 358px) 100vw, 358px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u6570\u636e\u6d41\u56fe<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"475\" height=\"323\" src=\"https:\/\/www.houyy.cn\/wp-content\/uploads\/2026\/08\/image-9.png\" alt=\"\" class=\"wp-image-50\" srcset=\"https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/image-9.png 475w, https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/image-9-300x204.png 300w\" sizes=\"auto, (max-width: 475px) 100vw, 475px\" \/><\/figure>\n\n\n\n<h1 class=\"wp-block-heading\">FFT\u8bbe\u8ba1\u63cf\u8ff0<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">\u8bbe\u8ba1\u6846\u56fe<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"555\" height=\"206\" src=\"https:\/\/www.houyy.cn\/wp-content\/uploads\/2026\/08\/1785912029987_c8946bec15864398ab6dc82156fcde1e.png\" alt=\"\" class=\"wp-image-55\" srcset=\"https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/1785912029987_c8946bec15864398ab6dc82156fcde1e.png 555w, https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/1785912029987_c8946bec15864398ab6dc82156fcde1e-300x111.png 300w\" sizes=\"auto, (max-width: 555px) 100vw, 555px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u8776\u5f62\u8fd0\u7b97<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e3a\u4e86\u51cf\u5c11\u8d44\u6e90\u4f7f\u7528\uff0c\u6a21\u5757\u4ec5\u5305\u542b\u4e00\u4e2a\u57fa2\u789f\u5f62\u8fd0\u7b97\u6a21\u5757\uff0c\u901a\u8fc7\u5206\u65f6\u590d\u7528\u5b8c\u6210FFT\u8fd0\u7b97\uff0c\u8776\u5f62\u8fd0\u7b97\u6a21\u5757\u6846\u56fe\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"554\" height=\"167\" src=\"https:\/\/www.houyy.cn\/wp-content\/uploads\/2026\/08\/1785912053172_9e42b33c0f9747fca554026d1efbbd7f.png\" alt=\"\" class=\"wp-image-56\" srcset=\"https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/1785912053172_9e42b33c0f9747fca554026d1efbbd7f.png 554w, https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/1785912053172_9e42b33c0f9747fca554026d1efbbd7f-300x90.png 300w\" sizes=\"auto, (max-width: 554px) 100vw, 554px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u7531\u4e8e\u6bcf\u6b21\u8776\u5f62\u8fd0\u7b97\u5b9a\u70b9\u4f4d\u5bbd\u90fd\u4f1a\u589e\u52a0\u4e00\u4f4d\uff0c\u56e0\u6b64\u4e3a\u4e86\u7edf\u4e00\u8776\u5f62\u8fd0\u7b97\u7684\u4f4d\u5bbd\uff0c\u5728\u8f93\u51fa\u5bf9\u6570\u636e\u96642.\u5373\u516c\u5f0f\u4e3a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y1 = (x1+x2*w)\/2;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y2 = (x1-x2*w)\/2;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u63a7\u5236\u72b6\u6001\u673a<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"266\" height=\"463\" src=\"https:\/\/www.houyy.cn\/wp-content\/uploads\/2026\/08\/41d20215eae2a595a09115dfcc1d30ea.png\" alt=\"\" class=\"wp-image-57\" srcset=\"https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/41d20215eae2a595a09115dfcc1d30ea.png 266w, https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/41d20215eae2a595a09115dfcc1d30ea-172x300.png 172w\" sizes=\"auto, (max-width: 266px) 100vw, 266px\" \/><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u6839\u636eFFT\u5224\u65ad\u6570\u636e\u8f93\u5165\u662f\u5426\u7ed3\u675f\uff0c\u6ca1\u6709\u7ed3\u675f\u5219\u5c06RAM\u7684\u8f93\u5165\u9009\u5230\u8f93\u5165\u63a5\u53e3\uff0c\u5426\u5219\u9009\u5230\u8776\u5f62\u8fd0\u7b97\u5355\u5143\u3002<\/li>\n\n\n\n<li>\u5c06RAM\u7684\u6570\u636e\u6839\u636e\u5730\u5740\u8ba1\u7b97\u6a21\u5757\u7684\u5730\u5740\u4f9d\u6b21\u8bfb\u51fa\u9001\u5230\u8776\u5f62\u8fd0\u7b97\u5355\u5143\u3002<\/li>\n\n\n\n<li>\u7531\u4e8e\u8776\u5f62\u8fd0\u7b97\u7684\u5ef6\u8fdf\uff0c\u5224\u65ad\u8776\u5f62\u8fd0\u7b97\u662f\u5426\u5b8c\u6210\uff0c\u5b8c\u6210\u5219\u5230\u4e0b\u4e00\u6b65\u3002<\/li>\n\n\n\n<li>\u5224\u65adFFT\u8fd0\u7b97\u662f\u5426\u5b8c\u6210\uff0c\u6ca1\u6709\u5219\u8fdb\u884c\u4e0b\u4e00\u6b21\u8776\u5f62\u8fd0\u7b97\u3002\u5b8c\u6210\u5219\u4eceRAM\u4e2d\u4f9d\u6b21\u8bfb\u51fa\u6570\u636e\u3002<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">\u5730\u5740\u4ea7\u751f\u6a21\u5757<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5730\u5740\u4ea7\u751f\u6a21\u5757\u6839\u636e\u5f53\u524d\u8fd0\u884c\u72b6\u6001\u8ba1\u7b97\u5982\u4f55\u4eceRAM\u4ee5\u53ca\u76f8\u4f4d\u65cb\u8f6c\u56e0\u5b50ROM\u4e2d\u8bfb\u51fa\u6570\u636e\uff0c\u5730\u5740\u4ea7\u751f\u7b97\u6cd5\u5982\u4e0b:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b9a\u4e49\u4e00\u4e0b4\u4e2a\u53d8\u91cf\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>M=log2(NFFT)<\/li>\n\n\n\n<li>fft-stage: \u8776\u5f62\u8fd0\u7b97stage\u7d22\u5f15<\/li>\n\n\n\n<li>n: \u00a0\u8776\u5f62\u8fd0\u7b97\u5206\u7ec4\u7d22\u5f15 n<\/li>\n\n\n\n<li>b: \u8776\u5f62\u8fd0\u7b97\u7d22\u5f15 b<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\u5730\u5740\u4ea7\u751f\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x1Idx = b + n*2^(M-fft_stage);<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x2Idx = x1Idx + 2^(M-fft_stage-1);<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">wIdx = bitswap(2*n,M);<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7531\u4e8e\u76f8\u4f4d\u65cb\u8f6c\u7684\u5730\u5740\u56fa\u5b9a\u4e3a0-4095\uff0c\u56e0\u6b64\u9700\u8981\u5bf9\u539f\u59cb\u5730\u5740\u8fdb\u884c\u91cd\u65b0\u6620\u5c04\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">wIdx = bitswap(2*n,M)*2^(12-M);<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u7f13\u5b58RAM<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u7f13\u5b58RAM\u4e3a\u4e00\u4e2a32x4K\u7684\u7684\u7b80\u5355\u53cc\u53e3RAM\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"343\" height=\"241\" src=\"https:\/\/www.houyy.cn\/wp-content\/uploads\/2026\/08\/105dfa21b378df3ddb4a8c23f146b4fd.png\" alt=\"\" class=\"wp-image-58\" srcset=\"https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/105dfa21b378df3ddb4a8c23f146b4fd.png 343w, https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/105dfa21b378df3ddb4a8c23f146b4fd-300x211.png 300w\" sizes=\"auto, (max-width: 343px) 100vw, 343px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u76f8\u4f4d\u65cb\u8f6c\u56e0\u5b50ROM<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"554\" height=\"203\" src=\"https:\/\/www.houyy.cn\/wp-content\/uploads\/2026\/08\/047b7811cd507570302aa84ac4e49358.png\" alt=\"\" class=\"wp-image-59\" srcset=\"https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/047b7811cd507570302aa84ac4e49358.png 554w, https:\/\/www.houyy.com\/wp-content\/uploads\/2026\/08\/047b7811cd507570302aa84ac4e49358-300x110.png 300w\" sizes=\"auto, (max-width: 554px) 100vw, 554px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e3a\u4e86\u8282\u7701\u7a7a\u95f4\uff0c\u53ea\u9700\u5b58\u50a81\/4\u4e2a\u5468\u671f\u7684\u6570\u636e\uff0c\u5176\u4ed6\u6570\u636e\u53ef\u4ee5\u901a\u8fc7\u8ba1\u7b97\u7b97\u51fa\u3002\u56e0\u6b64\u53ea\u9700\u898132x1K\u7684ROM\uff0c\u4f46\u662f\u4e3a\u4e86\u7b80\u5316\u5730\u5740\u8ba1\u7b97\uff0c\u5730\u5740\u8ba1\u7b97\u6a21\u5757\u4ecd\u6309\u7ed9\u51fa\u6b63\u5e38\u5730\u5740\uff0cROM\u6a21\u5757\u5185\u90e8\u6839\u636e\u5f53\u524d\u5730\u5740\u5b8c\u6210\u76f8\u5e94\u7684\u5730\u5740\u6362\u7b97\u548c\u6570\u636e\u64cd\u4f5c\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u8f93\u51fa\u5ef6\u8fdf<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u7531\u4e8e\u5185\u90e8\u4ec5\u91c7\u75281\u4e2a\u57fa2\u8776\u5f62\u8fd0\u7b97\u6a21\u5757\uff0c\u56e0\u6b64\u8f93\u51fa\u5ef6\u8fdf\u6839\u636eNFFT\u70b9\u6570\u4e0d\u540c\u800c\u6709\u5dee\u5f02\uff0c\u8f93\u51fa\u5ef6\u8fdf\u7684\u8ba1\u7b97\u7531FFT\u6700\u540e1\u4e2a\u8f93\u5165\u7ed3\u675f\u5f00\u59cb\uff0c\u5230\u7b2c\u4e00\u4e2a\u8f93\u51fa\u7ed3\u675f\u3002\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"183\" height=\"21\" src=\"https:\/\/www.houyy.cn\/wp-content\/uploads\/2026\/08\/image-2.png\" alt=\"\" class=\"wp-image-45\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u4f4d\u4e3aclk\u5468\u671f\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>FFT\u539f\u7406 , , \u5c06\u6570\u636e\u8fdb\u884c\u5947\u5076\u5206\u7ec4\u53ef [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-42","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.houyy.com\/index.php\/wp-json\/wp\/v2\/posts\/42","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.houyy.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.houyy.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.houyy.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.houyy.com\/index.php\/wp-json\/wp\/v2\/comments?post=42"}],"version-history":[{"count":1,"href":"https:\/\/www.houyy.com\/index.php\/wp-json\/wp\/v2\/posts\/42\/revisions"}],"predecessor-version":[{"id":60,"href":"https:\/\/www.houyy.com\/index.php\/wp-json\/wp\/v2\/posts\/42\/revisions\/60"}],"wp:attachment":[{"href":"https:\/\/www.houyy.com\/index.php\/wp-json\/wp\/v2\/media?parent=42"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.houyy.com\/index.php\/wp-json\/wp\/v2\/categories?post=42"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.houyy.com\/index.php\/wp-json\/wp\/v2\/tags?post=42"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}