{"id":3879,"date":"2023-06-19T09:47:56","date_gmt":"2023-06-19T01:47:56","guid":{"rendered":"\/\/www.viralrail.com\/?p=3879"},"modified":"2023-06-19T10:10:37","modified_gmt":"2023-06-19T02:10:37","slug":"ftzjjtsyyl","status":"publish","type":"post","link":"\/\/www.viralrail.com\/blog\/3879.html","title":{"rendered":"FSK\u8c03\u5236\u53ca\u89e3\u8c03\u5b9e\u9a8c\u539f\u7406"},"content":{"rendered":"\n<p>\u3000\u3000<strong>FSK\u8c03\u5236\u6280\u672f<\/strong>\u662f\u4e00\u79cd\u6570\u5b57\u8c03\u5236\u6280\u672f\uff0c\u5b83\u662f\u5c06\u6570\u5b57\u4fe1\u53f7\u8f6c\u6362\u4e3a\u6a21\u62df\u4fe1\u53f7\u7684\u4e00\u79cd\u65b9\u6cd5\uff0c\u5e7f\u6cdb\u5e94\u7528\u4e8e\u65e0\u7ebf\u901a\u4fe1\u3001\u6570\u5b57\u97f3\u9891\u3001\u6570\u636e\u4f20\u8f93\u7b49\u9886\u57df\u3002\u672c\u6587\u5c06\u4ecb\u7ecdFSK\u8c03\u5236\u53ca\u89e3\u8c03\u7684\u539f\u7406\uff0c\u4ee5\u53ca\u5b9e\u9a8c\u8fc7\u7a0b\u548c\u5b9e\u9a8c\u7ed3\u679c\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u3000\u3000\u4e00\u3001FSK\u8c03\u5236\u539f\u7406<\/h2>\n\n\n\n<p>\u3000\u3000\u9891\u79fb\u952e\u63a7\u8c03\u5236(FSK)\u662f\u4e00\u79cd\u6570\u5b57\u8c03\u5236\u6280\u672f\uff0c\u5b83\u7684\u539f\u7406\u662f\u5c06\u6570\u5b57\u4fe1\u53f7\u8f6c\u6362\u4e3a\u6a21\u62df\u4fe1\u53f7\uff0c\u901a\u8fc7\u6539\u53d8\u4fe1\u53f7\u7684\u9891\u7387\u6765\u4f20\u8f93\u4fe1\u606f\u3002\u5728FSK\u8c03\u5236\u4e2d\uff0c\u4e8c\u8fdb\u5236\u4fe1\u53f7\u88ab\u8f6c\u6362\u4e3a\u4e24\u4e2a\u4e0d\u540c\u9891\u7387\u7684\u6b63\u5f26\u6ce2\u4fe1\u53f7\uff0c\u5206\u522b\u4ee3\u8868\u6570\u5b570\u548c\u6570\u5b571.\u5728\u6570\u5b570\u7684\u60c5\u51b5\u4e0b\uff0c\u4fe1\u53f7\u7684\u9891\u7387\u4e3a$f_1$\uff0c\u5728\u6570\u5b571\u7684\u60c5\u51b5\u4e0b\uff0c\u4fe1\u53f7\u7684\u9891\u7387\u4e3a$f_2$\u3002\u56e0\u6b64\uff0cFSK\u8c03\u5236\u53ef\u4ee5\u770b\u4f5c\u662f\u4e00\u79cd\u9891\u7387\u8c03\u5236\u6280\u672f\u3002<\/p>\n\n\n\n<p>\u3000\u3000FSK\u8c03\u5236\u7684\u6570\u5b66\u8868\u8fbe\u5f0f\u5982\u4e0b:<\/p>\n\n\n\n<p>\u3000\u3000\u8c03\u5236\u4fe1\u53f7:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u3000s(t) = Acos(2\u03c0ft + \u03b8),&nbsp;&nbsp;&nbsp;&nbsp; (\u5f53\u8f93\u5165\u4e3a\u201c1\u201d\u65f6)<\/li>\n\n\n\n<li>\u3000\u3000s(t) = Acos(2\u03c0(f-\u0394f)t + \u03b8)), (\u5f53\u8f93\u5165\u4e3a\u201c0\u201d\u65f6)<\/li>\n<\/ul>\n\n\n\n<p>\u3000\u3000\u5176\u4e2d,<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u3000f:\u8f7d\u6ce2\u9891\u7387<\/li>\n\n\n\n<li>\u3000\u3000\u0394f:\u9891\u7387\u504f\u79fb\u91cf,\u0394f = f1 &#8211; f2<\/li>\n\n\n\n<li>\u3000\u3000f1:\u4ee3\u8868\u6570\u5b571\u7684\u9891\u7387<\/li>\n\n\n\n<li>\u3000\u3000f2:\u4ee3\u8868\u6570\u5b570\u7684\u9891\u7387<\/li>\n\n\n\n<li>\u3000\u3000A:\u4fe1\u53f7\u5e45\u5ea6<\/li>\n\n\n\n<li>\u3000\u3000\u03b8:\u4fe1\u53f7\u521d\u59cb\u76f8\u4f4d<\/li>\n<\/ul>\n\n\n\n<p>\u3000\u3000\u56e0\u6b64,FSK\u8c03\u5236\u4fe1\u53f7\u6240\u5305\u542b\u7684\u4e24\u79cd\u9891\u7387\u5206\u91cf\u4e3af1\u548cf2.\u5176\u8868\u8fbe\u5f0f\u4e3a:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u3000f1 = f + \u0394f\/2<\/li>\n\n\n\n<li>\u3000\u3000f2 = f &#8211; \u0394f\/2<\/li>\n<\/ul>\n\n\n\n<p>\u3000\u3000\u89e3\u8c03\u540e\u5f97\u5230\u7684\u6570\u5b57\u4fe1\u53f7\u4e3a:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u3000Digital Output = {1. frequecy detetor 1 output is stronger<\/li>\n\n\n\n<li>\u3000\u30000. frequecy detetor 2 output is stronger<\/li>\n<\/ul>\n\n\n\n<p>\u3000\u3000\u4e5f\u5c31\u662f:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u3000\u5f53\u63a5\u6536\u5230\u7684\u8c03\u5236\u4fe1\u53f7\u4ee5f1 = f + \u0394f\/2 \u4e3a\u4e3b\u8981\u9891\u7387\u5206\u91cf\u65f6,\u8f93\u51fa1;<\/li>\n\n\n\n<li>\u3000\u3000\u5f53\u63a5\u6536\u5230\u7684\u8c03\u5236\u4fe1\u53f7\u4ee5f2 = f &#8211; \u0394f\/2 \u4e3a\u4e3b\u8981\u9891\u7387\u5206\u91cf\u65f6,\u8f93\u51fa0.<\/li>\n\n\n\n<li>\u3000\u3000\u6839\u636e\u4e0a\u8ff0\u516c\u5f0f,\u6211\u4eec\u53ef\u4ee5\u5b9e\u73b0FSK\u8c03\u5236\u7684\u4eff\u771f,\u4e3b\u8981\u6b65\u9aa4:<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u30001) \u8bbe\u7f6e\u8f7d\u6ce2\u9891\u7387f,\u9891\u504f\u0394f\u548c\u4fe1\u53f7\u5e45\u5ea6A;<\/li>\n\n\n\n<li>\u3000\u30002) \u6839\u636e\u8f93\u5165\u7684\u6570\u5b57\u4fe1\u53f7(1\u62160),\u8ba1\u7b97\u5f97\u5230f1\u6216f2;<\/li>\n\n\n\n<li>\u3000\u30003) \u751f\u6210\u76f8\u5e94\u9891\u7387f1\u6216f2\u7684\u6b63\u5f26\u6ce2,\u5f97\u5230FSK\u8c03\u5236\u4fe1\u53f7;<\/li>\n\n\n\n<li>\u3000\u30004) \u6dfb\u52a0\u566a\u58f0\u540e,\u5bf9FSK\u4fe1\u53f7\u8fdb\u884c\u9891\u8c31\u5206\u6790,\u89c2\u5bdf\u4e3b\u8981\u9891\u7387\u5206\u91cf\u662ff1\u8fd8\u662ff2;<\/li>\n\n\n\n<li>\u3000\u30005) \u6839\u636e\u4e3b\u8981\u9891\u7387\u5206\u91cf\u5224\u65ad\u5f53\u524d\u4fe1\u53f7\u6240\u4ee3\u8868\u7684\u6570\u5b57,\u4ece\u800c\u5b9e\u73b0FSK\u89e3\u8c03\u3002<\/li>\n\n\n\n<li>\u3000\u3000\u901a\u8fc7\u4e0a\u8ff0\u4eff\u771f,\u6211\u4eec\u53ef\u4ee5\u76f4\u89c2\u5730\u7406\u89e3\u548c\u9a8c\u8bc1FSK\u8c03\u5236\u53ca\u89e3\u8c03\u7684\u539f\u7406,\u76f8\u6bd4\u7406\u8bba\u516c\u5f0f\u66f4\u52a0\u76f4\u89c2\u3002\u8fd9\u4e5f\u662f\u6570\u5b57\u901a\u4fe1\u4e2d\u7684\u4e00\u4e2a\u5e38\u7528\u5b9e\u9a8c\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u3000\u3000\u4e8c\u3001FSK\u89e3\u8c03\u539f\u7406<\/h2>\n\n\n\n<p>\u3000\u3000FSK\u89e3\u8c03\u662f\u5c06FSK\u8c03\u5236\u4fe1\u53f7\u8fd8\u539f\u4e3a\u539f\u59cb\u7684\u6570\u5b57\u4fe1\u53f7\u3002\u5728FSK\u89e3\u8c03\u4e2d\uff0c\u63a5\u6536\u5230\u7684\u4fe1\u53f7\u4f1a\u88ab\u5206\u6210\u4e24\u4e2a\u9891\u7387\u5206\u91cf\uff0c\u5206\u522b\u5bf9\u5e94\u6570\u5b570\u548c\u6570\u5b571\u7684\u9891\u7387\u3002\u8fd9\u4e9b\u5206\u91cf\u4f1a\u88ab\u653e\u5927\u5e76\u8fdb\u884c\u68c0\u6d4b\uff0c\u7136\u540e\u5c06\u5b83\u4eec\u8f6c\u6362\u56de\u6570\u5b57\u4fe1\u53f7\u3002<\/p>\n\n\n\n<p>\u3000\u3000FSK\u89e3\u8c03\u7684\u6570\u5b66\u8868\u8fbe\u5f0f\u5982\u4e0b:<\/p>\n\n\n\n<p>\u3000\u3000\u63a5\u6536\u5230\u7684FSK\u8c03\u5236\u4fe1\u53f7:<\/p>\n\n\n\n<p>\u3000\u3000<strong>r(t) = s(t) + n(t)<\/strong><\/p>\n\n\n\n<p>\u3000\u3000\u5176\u4e2d,s(t)\u4e3aFSK\u8c03\u5236\u4fe1\u53f7,n(t)\u4e3a\u566a\u58f0\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u6839\u636eFSK\u8c03\u5236\u4fe1\u53f7\u7684\u8868\u8fbe\u5f0f,s(t)\u53ef\u4e3a:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u3000s(t) = Acos(2\u03c0f1t + \u03b8),&nbsp;&nbsp;&nbsp;&nbsp; (\u5f53\u8f93\u5165\u4e3a\u201c1\u201d\u65f6)<\/li>\n\n\n\n<li>\u3000\u3000s(t) = Acos(2\u03c0f2t + \u03b8)),&nbsp;&nbsp; (\u5f53\u8f93\u5165\u4e3a\u201c0\u201d\u65f6)<\/li>\n<\/ul>\n\n\n\n<p>\u3000\u3000<strong>\u5176\u4e2d,f1\u548cf2\u4e3a\u4ee3\u8868\u6570\u5b571\u548c0\u7684\u4e24\u4e2a\u9891\u7387\u3002<\/strong><\/p>\n\n\n\n<p>\u3000\u3000\u63a5\u6536\u673a\u901a\u8fc7\u4e24\u4e2a\u9891\u7387\u68c0\u6d4b\u5668\u5206\u522b\u68c0\u6d4b\u63a5\u6536\u4fe1\u53f7\u4e2d\u7684f1\u548cf2\u9891\u7387\u5206\u91cf,\u8868\u8fbe\u4e3a:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u3000f1\u68c0\u6d4b\u5668\u8f93\u51fa:f1(t) = K1r(t)cos(2\u03c0f1t + \u03c61)<\/li>\n\n\n\n<li>\u3000\u3000f2\u68c0\u6d4b\u5668\u8f93\u51fa:f2(t) = K2r(t)cos(2\u03c0f2t + \u03c62)<\/li>\n<\/ul>\n\n\n\n<p>\u3000\u3000\u5176\u4e2d,K1\u548cK2\u4e3a\u9891\u7387\u68c0\u6d4b\u5668\u7684\u589e\u76ca,\u03c61\u548c\u03c62\u4e3a\u9891\u7387\u68c0\u6d4b\u5668\u7684\u521d\u59cb\u76f8\u4f4d\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u5224\u51b3\u89c4\u5219:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u3000\u5f53f1(t) &gt; f2(t) \u65f6,\u8f93\u51fa1<\/li>\n\n\n\n<li>\u3000\u3000\u5f53f2(t) &gt; f1(t) \u65f6,\u8f93\u51fa0<\/li>\n<\/ul>\n\n\n\n<p>\u3000\u3000\u4e5f\u5c31\u662f\u6bd4\u8f83\u4e24\u4e2a\u9891\u7387\u68c0\u6d4b\u5668\u7684\u8f93\u51fa,\u54ea\u4e2a\u8f93\u51fa\u66f4\u5f3a,\u5224\u5b9a\u63a5\u6536\u4fe1\u53f7\u6240\u5305\u542b\u7684\u4e3b\u8981\u9891\u7387\u5206\u91cf,\u4ece\u800c\u786e\u5b9a\u53d1\u9001\u7684\u6570\u5b57\u4fe1\u606f\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u56e0\u6b64,FSK\u89e3\u8c03\u7684\u5173\u952e\u5728\u4e8e:\u8bbe\u7f6e\u4e24\u4e2a\u4e2d\u5fc3\u9891\u7387\u5206\u522b\u4e3af1\u548cf2\u7684\u9891\u7387\u68c0\u6d4b\u5668,\u901a\u8fc7\u68c0\u6d4b\u63a5\u6536\u4fe1\u53f7\u5728f1\u548cf2\u5904\u7684\u9891\u7387\u5206\u91cf\u5f3a\u5f31,\u6765\u5224\u65ad\u53d1\u9001\u7684\u6570\u5b57\u4fe1\u53f7\u3002\u7531\u4e8e\u566a\u58f0\u7684\u5b58\u5728,\u5224\u51b3\u9608\u503c\u7684\u8bbe\u7f6e\u4e5f\u5f88\u91cd\u8981,\u901a\u5e38\u8bbe\u7f6e\u4e3a\u5168\u91cf\u7a0b\u76841\/2.<\/p>\n\n\n\n<p>\u3000\u3000\u8fd9\u4e2a\u7b80\u5355\u7684\u539f\u7406\u63cf\u8ff0\u4e86FSK\u89e3\u8c03\u7684\u57fa\u672c\u6570\u5b66\u8868\u8fbe\u548c\u5b9e\u73b0\u539f\u7406\u3002\u5728\u5b9e\u9645\u7cfb\u7edf\u4e2d,\u4e3a\u63d0\u9ad8\u68c0\u6d4b\u7cbe\u5ea6,\u8fd8\u4f1a\u91c7\u7528\u66f4\u590d\u6742\u7684\u9891\u7387\u5224\u51b3\u65b9\u6cd5,\u4f46\u539f\u7406\u4e0e\u6b64\u76f8\u540c\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u3000\u3000\u4e09\u3001\u5b9e\u9a8c\u8fc7\u7a0b<\/h2>\n\n\n\n<p>\u3000\u3000\u5b9e\u9a8c\u6750\u6599\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u30001.\u4fe1\u53f7\u53d1\u751f\u5668<\/li>\n\n\n\n<li>\u3000\u30002.\u9891\u8c31\u5206\u6790\u4eea<\/li>\n\n\n\n<li>\u3000\u30003.\u793a\u6ce2\u5668<\/li>\n\n\n\n<li>\u3000\u30004.\u7535\u7f06<\/li>\n\n\n\n<li>\u3000\u30005.\u8ba1\u7b97\u673a<\/li>\n<\/ul>\n\n\n\n<p>\u3000\u3000\u5b9e\u9a8c\u6b65\u9aa4\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u30001.\u5c06\u4fe1\u53f7\u53d1\u751f\u5668\u8fde\u63a5\u5230\u9891\u8c31\u5206\u6790\u4eea\u3002<\/li>\n\n\n\n<li>\u3000\u30002.\u5c06\u4fe1\u53f7\u53d1\u751f\u5668\u8bbe\u7f6e\u4e3aFSK\u6a21\u5f0f\uff0c\u5e76\u8bbe\u7f6e\u6570\u5b570\u548c\u6570\u5b571\u7684\u9891\u7387\u3002<\/li>\n\n\n\n<li>\u3000\u30003.\u5c06\u4fe1\u53f7\u53d1\u751f\u5668\u8fde\u63a5\u5230\u793a\u6ce2\u5668\uff0c\u4ee5\u4fbf\u89c2\u5bdf\u4fe1\u53f7\u7684\u6ce2\u5f62\u3002<\/li>\n\n\n\n<li>\u3000\u30004.\u5c06\u4fe1\u53f7\u53d1\u751f\u5668\u8fde\u63a5\u5230\u8ba1\u7b97\u673a\uff0c\u4ee5\u4fbf\u8bb0\u5f55\u4fe1\u53f7\u7684\u9891\u7387\u548c\u5e45\u5ea6\u3002<\/li>\n\n\n\n<li>\u3000\u30005.\u4f7f\u7528\u9891\u8c31\u5206\u6790\u4eea\u68c0\u6d4b\u4fe1\u53f7\u7684\u9891\u7387\u5206\u91cf\u3002<\/li>\n\n\n\n<li>\u3000\u30006.\u4f7f\u7528\u793a\u6ce2\u5668\u89c2\u5bdf\u4fe1\u53f7\u7684\u6ce2\u5f62\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u3000\u3000\u5b9e\u9a8c\u7ed3\u679c\uff1a<\/p>\n\n\n\n<p>\u3000\u3000\u901a\u8fc7\u5b9e\u9a8c\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230FSK\u8c03\u5236\u4fe1\u53f7\u7684\u9891\u7387\u5728\u6570\u5b570\u548c\u6570\u5b571\u4e4b\u95f4\u5207\u6362\u3002\u5728\u6570\u5b570\u7684\u60c5\u51b5\u4e0b\uff0c\u4fe1\u53f7\u7684\u9891\u7387\u4e3a$f_1$\uff0c\u5728\u6570\u5b571\u7684\u60c5\u51b5\u4e0b\uff0c\u4fe1\u53f7\u7684\u9891\u7387\u4e3a$f_2$\u3002\u6211\u4eec\u8fd8\u53ef\u4ee5\u901a\u8fc7\u9891\u8c31\u5206\u6790\u4eea\u68c0\u6d4b\u5230\u4fe1\u53f7\u7684\u9891\u7387\u5206\u91cf\uff0c\u5e76\u4f7f\u7528\u793a\u6ce2\u5668\u89c2\u5bdf\u4fe1\u53f7\u7684\u6ce2\u5f62\u3002<\/p>\n\n\n\n<h2 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