{"id":628,"date":"2016-11-16T12:02:58","date_gmt":"2016-11-16T04:02:58","guid":{"rendered":"http:\/\/www.yiyeyh.com\/?p=628"},"modified":"2018-07-19T15:29:43","modified_gmt":"2018-07-19T07:29:43","slug":"xinhaoyuxitong","status":"publish","type":"post","link":"http:\/\/www.yiyeyh.com\/xinhaoyuxitong.html","title":{"rendered":"\u8fd9\u6837\u8bb2\u300a\u4fe1\u53f7\u4e0e\u7cfb\u7edf\u300b\uff0c\u5305\u4f60\u4e00\u770b\u5c31\u61c2\uff01"},"content":{"rendered":"
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\u8fd9\u4e00\u7bc7\uff0c\u6211\u5c55\u5f00\u7684\u8bf4\u4e00\u4e0b\u5085\u7acb\u53f6\u53d8\u6362F\u3002\u6ce8\u610f\uff0c\u5085\u7acb\u53f6\u53d8\u6362\u7684\u540d\u5b57F\u53ef\u4ee5\u8868\u793a\u9891\u7387\u7684\u6982\u5ff5(freqence)\uff0c\u4e5f\u53ef\u4ee5\u5305\u62ec\u5176\u4ed6\u4efb\u4f55\u6982\u5ff5\uff0c\u56e0\u4e3a\u5b83\u53ea\u662f\u4e00\u4e2a\u6982\u5ff5\u6a21\u578b\uff0c\u4e3a\u4e86\u89e3\u51b3\u8ba1\u7b97\u7684\u95ee\u9898\u800c\u6784\u9020\u51fa\u6765\u7684(\u4f8b\u5982\u65f6\u57df\u65e0\u9650\u957f\u7684\u8f93\u5165\u4fe1\u53f7\uff0c\u600e\u4e48\u5f97\u5230\u8f93\u51fa\u4fe1\u53f7)\u3002\u6211\u4eec\u628a\u5085\u7acb\u53f6\u53d8\u6362\u770b\u4e00\u4e2aC\u8bed\u8a00\u7684\u51fd\u6570\uff0c\u4fe1\u53f7\u7684\u8f93\u51fa\u8f93\u51fa\u95ee\u9898\u770b\u4e3aIO \u7684\u95ee\u9898\uff0c\u7136\u540e\u4efb\u4f55\u96be\u4ee5\u6c42\u89e3\u7684x->y\u7684\u95ee\u9898\u90fd\u53ef\u4ee5\u7528x->f(x)->f-1(x)->y\u6765\u5f97\u5230\u3002<\/p>\n 1. \u5230\u5e95\u4ec0\u4e48\u662f\u9891\u7387?<\/p>\n \u4e00\u4e2a\u57fa\u672c\u7684\u5047\u8bbe: \u4efb\u4f55\u4fe1\u606f\u90fd\u5177\u6709\u9891\u7387\u65b9\u9762\u7684\u7279\u6027\uff0c\u97f3\u9891\u4fe1\u53f7\u7684\u58f0\u97f3\u9ad8\u4f4e\uff0c\u5149\u7684\u9891\u8c31\uff0c\u7535\u5b50\u9707\u8361\u7684\u5468\u671f\uff0c\u7b49\u7b49\uff0c\u6211\u4eec\u62bd\u8c61\u51fa\u4e00\u4e2a\u4ef6\u8c10\u632f\u52a8\u7684\u6982\u5ff5\uff0c\u6570\u5b66\u540d\u79f0\u5c31\u53eb\u505a\u9891\u7387\u3002\u60f3\u8c61\u5728x-y \u5e73\u9762\u4e0a\u6709\u4e00\u4e2a\u539f\u5b50\u56f4\u7ed5\u539f\u70b9\u505a\u534a\u5f84\u4e3a1\u5300\u901f\u5706\u5468\u8fd0\u52a8\uff0c\u628ax\u8f74\u60f3\u8c61\u6210\u65f6\u95f4\uff0c\u90a3\u4e48\u8be5\u5706\u5468\u8fd0\u52a8\u5728y\u8f74\u4e0a\u7684\u6295\u5f71\u5c31\u662f\u4e00\u4e2asin(t)\u7684\u6ce2\u5f62\u3002\u76f8\u4fe1\u4e2d\u5b66\u751f\u90fd\u80fd\u7406\u89e3\u8fd9\u4e2a\u3002<\/p>\n \u90a3\u4e48\uff0c\u4e0d\u540c\u7684\u9891\u7387\u6a21\u578b\u5176\u5b9e\u5c31\u5bf9\u5e94\u4e86\u4e0d\u540c\u7684\u5706\u5468\u8fd0\u52a8\u901f\u5ea6\u3002\u5706\u5468\u8fd0\u52a8\u7684\u901f\u5ea6\u8d8a\u5feb\uff0csin(t)\u7684\u6ce2\u5f62\u8d8a\u7a84\u3002\u9891\u7387\u7684\u7f29\u653e\u6709\u4e24\u79cd\u6a21\u5f0f<\/p>\n (a) \u8001\u5f0f\u7684\u6536\u97f3\u673a\u90fd\u662f\u7528\u78c1\u5e26\u4f5c\u4e3a\u97f3\u4e50\u4ecb\u8d28\u7684\uff0c\u5f53\u6211\u4eec\u5feb\u653e\u7684\u65f6\u5019\uff0c\u6211\u4eec\u4f1a\u611f\u89c9\u6b4c\u5531\u7684\u58f0\u97f3\u53d8\u5f97\u602a\u602a\u7684\uff0c\u8c03\u5b50\u5f88\u9ad8\uff0c\u90a3\u662f\u56e0\u4e3a”\u5706\u5468\u8fd0\u52a8”\u7684\u901f\u5ea6\u589e\u500d\u4e86\uff0c\u6bcf\u4e00\u4e2a\u58f0\u97f3\u5206\u91cf\u7684sin(t)\u8f93\u51fa\u53d8\u6210\u4e86sin(nt)\u3002<\/p>\n (b) \u5728CD\/\u8ba1\u7b97\u673a\u4e0a\u9762\u5feb\u653e\u6216\u6ee1\u653e\u611f\u89c9\u6b4c\u624b\u5feb\u5531\u6216\u8005\u6162\u5531\uff0c\u4e0d\u4f1a\u51fa\u73b0\u97f3\u8c03\u53d8\u9ad8\u7684\u73b0\u8c61\uff1a\u56e0\u4e3a\u5feb\u653e\u7684\u65f6\u5019\u91c7\u7528\u4e86\u65f6\u57df\u91c7\u6837\u7684\u65b9\u6cd5\uff0c\u4e22\u5f03\u4e86\u4e00\u4e9b\u6ce2\u5f62\uff0c\u4f46\u662f\u627f\u8f7d\u4e86\u4fe1\u606f\u7684\u8f93\u51fa\u6ce2\u5f62\u4e0d\u4f1a\u6709\u5bbd\u7a84\u7684\u53d8\u5316\uff1b\u6ee1\u653e\u65f6\u76f8\u53cd\uff0c\u65f6\u57df\u4fe1\u53f7\u586b\u5145\u62c9\u957f\u5c31\u53ef\u4ee5\u4e86\u3002<\/p>\n 2. F\u53d8\u6362\u5f97\u5230\u7684\u7ed3\u679c\u6709\u8d1f\u6570\/\u590d\u6570\u90e8\u5206\uff0c\u6709\u4ec0\u4e48\u7269\u7406\u610f\u4e49\u5417?<\/p>\n \u89e3\u91ca: F\u53d8\u6362\u662f\u4e2a\u6570\u5b66\u5de5\u5177\uff0c\u4e0d\u5177\u6709\u76f4\u63a5\u7684\u7269\u7406\u610f\u4e49\uff0c\u8d1f\u6570\/\u590d\u6570\u7684\u5b58\u5728\u53ea\u662f\u4e3a\u4e86\u8ba1\u7b97\u7684\u5b8c\u6574\u6027\u3002<\/p>\n 3. \u4fe1\u53f7\u4e0e\u7cfb\u7edf\u8fd9\u4eec\u8bfe\u7684\u57fa\u672c\u4e3b\u65e8\u662f\u4ec0\u4e48?<\/p>\n \u5bf9\u4e8e\u901a\u4fe1\u548c\u7535\u5b50\u7c7b\u7684\u5b66\u751f\u6765\u8bf4\uff0c\u5f88\u591a\u60c5\u51b5\u4e0b\u6211\u4eec\u7684\u5de5\u4f5c\u662f\u8bbe\u8ba1\u6216\u8005OSI\u4e03\u5c42\u6a21\u578b\u5f53\u4e2d\u7684\u7269\u7406\u5c42\u6280\u672f\uff0c\u8fd9\u79cd\u6280\u672f\u7684\u590d\u6742\u6027\u9996\u5148\u5728\u4e8e\u4f60\u5fc5\u987b\u786e\u7acb\u4f20\u8f93\u4ecb\u8d28\u7684\u7535\u6c14\u7279\u6027\uff0c\u901a\u5e38\u4e0d\u540c\u4f20\u8f93\u4ecb\u8d28\u5bf9\u4e8e\u4e0d\u540c\u9891\u7387\u6bb5\u7684\u4fe1\u53f7\u6709\u4e0d\u540c\u7684\u5904\u7406\u80fd\u529b\u3002\u4ee5\u592a\u7f51\u7ebf\u5904\u7406\u57fa\u5e26\u4fe1\u53f7\uff0c\u5e7f\u57df\u7f51\u5149\u7ebf\u4f20\u51fa\u9ad8\u9891\u8c03\u5236\u4fe1\u53f7\uff0c\u79fb\u52a8\u901a\u4fe1\uff0c2G\u548c3G\u5206\u522b\u9700\u8981\u6709\u4e0d\u540c\u7684\u8f7d\u9891\u7279\u6027\u3002\u90a3\u4e48\u8fd9\u4e9b\u4ecb\u8d28(\u7a7a\u6c14\uff0c\u7535\u7ebf\uff0c\u5149\u7ea4\u7b49)\u5bf9\u4e8e\u67d0\u79cd\u9891\u7387\u7684\u8f93\u5165\u662f\u5426\u80fd\u591f\u5728\u4f20\u8f93\u4e86\u4e00\u5b9a\u7684\u8ddd\u79bb\u4e4b\u540e\u5f97\u5230\u57fa\u672c\u4e0d\u53d8\u7684\u8f93\u5165\u5462? \u90a3\u4e48\u6211\u4eec\u5c31\u8981\u5efa\u7acb\u4ecb\u8d28\u7684\u9891\u7387\u76f8\u5e94\u6570\u5b66\u6a21\u578b\u3002\u540c\u65f6\uff0c\u77e5\u9053\u4e86\u4ecb\u8d28\u7684\u9891\u7387\u7279\u6027\uff0c\u5982\u4f55\u8bbe\u8ba1\u5728\u5b83\u4e0a\u9762\u4f20\u8f93\u7684\u4fe1\u53f7\u624d\u80fd\u5927\u5230\u7406\u8bba\u4e0a\u7684\u6700\u5927\u4f20\u8f93\u901f\u7387?—-\u8fd9\u5c31\u662f\u4fe1\u53f7\u4e0e\u7cfb\u7edf\u8fd9\u4eec\u8bfe\u5e26\u9886\u6211\u4eec\u8fdb\u5165\u7684\u4e00\u4e2a\u4e16\u754c\u3002<\/p>\n \u5f53\u7136\uff0c\u4fe1\u53f7\u4e0e\u7cfb\u7edf\u7684\u5e94\u7528\u4e0d\u6b62\u8fd9\u4e9b\uff0c\u548c\u9999\u519c\u7684\u4fe1\u606f\u7406\u8bba\u6302\u94a9\uff0c\u5b83\u8fd8\u53ef\u4ee5\u7528\u4e8e\u4fe1\u606f\u5904\u7406(\u58f0\u97f3\uff0c\u56fe\u50cf)\uff0c\u6a21\u5f0f\u8bc6\u522b\uff0c\u667a\u80fd\u63a7\u5236\u7b49\u9886\u57df\u3002\u5982\u679c\u8bf4\uff0c\u8ba1\u7b97\u673a\u4e13\u4e1a\u7684\u8bfe\u7a0b\u662f\u6570\u636e\u8868\u8fbe\u7684\u903b\u8f91\u6a21\u578b\uff0c\u90a3\u4e48\u4fe1\u53f7\u4e0e\u7cfb\u7edf\u5efa\u7acb\u7684\u5c31\u662f\u66f4\u5e95\u5c42\u7684\uff0c\u4ee3\u8868\u4e86\u67d0\u79cd\u7269\u7406\u610f\u4e49\u7684\u6570\u5b66\u6a21\u578b\u3002\u6570\u636e\u7ed3\u6784\u7684\u77e5\u8bc6\u80fd\u89e3\u51b3\u903b\u8f91\u4fe1\u606f\u7684\u7f16\u7801\u548c\u7ea0\u9519\uff0c\u800c\u4fe1\u53f7\u7684\u77e5\u8bc6\u80fd\u5e2e\u6211\u4eec\u8bbe\u8ba1\u51fa\u7801\u6d41\u7684\u7269\u7406\u8f7d\u4f53(\u5982\u679c\u63a5\u53d7\u5230\u7684\u4fe1\u53f7\u6ce2\u5f62\u662f\u6df7\u4e71\u7684\uff0c\u90a3\u6211\u4f9d\u636e\u4ec0\u4e48\u6765\u5224\u65ad\u8fd9\u4e2a\u662f1\u8fd8\u662f0? \u903b\u8f91\u4e0a\u7684\u7ea0\u9519\u5c31\u5931\u53bb\u4e86\u610f\u4e49)\u3002\u5728\u5de5\u4e1a\u63a7\u5236\u9886\u57df\uff0c\u8ba1\u7b97\u673a\u7684\u5e94\u7528\u524d\u63d0\u662f\u5404\u79cd\u6570\u6a21\u8f6c\u6362\uff0c\u90a3\u4e48\u5404\u79cd\u7269\u7406\u73b0\u8c61\u4ea7\u751f\u7684\u8fde\u7eed\u6a21\u62df\u4fe1\u53f7(\u6e29\u5ea6\uff0c\u7535\u963b\uff0c\u5927\u5c0f\uff0c\u538b\u529b\uff0c\u901f\u5ea6\u7b49) \u5982\u4f55\u88ab\u4e00\u4e2a\u7279\u5b9a\u8bbe\u5907\u8f6c\u6362\u4e3a\u6709\u610f\u4e49\u7684\u6570\u5b57\u4fe1\u53f7\uff0c\u9996\u5148\u6211\u4eec\u5c31\u8981\u8bbe\u8ba1\u4e00\u4e2a\u53ef\u7528\u7684\u6570\u5b66\u8f6c\u6362\u6a21\u578b\u3002<\/p>\n 4. \u5982\u4f55\u8bbe\u8ba1\u7cfb\u7edf?<\/p>\n \u8bbe\u8ba1\u7269\u7406\u4e0a\u7684\u7cfb\u7edf\u51fd\u6570(\u8fde\u7eed\u7684\u6216\u79bb\u6563\u7684\u72b6\u6001)\uff0c\u6709\u8f93\u5165\uff0c\u6709\u8f93\u51fa\uff0c\u800c\u4e2d\u95f4\u7684\u5904\u7406\u8fc7\u7a0b\u548c\u5177\u4f53\u7684\u7269\u7406\u5b9e\u73b0\u76f8\u5173\uff0c\u4e0d\u662f\u8fd9\u4eec\u8bfe\u5173\u5fc3\u7684\u91cd\u70b9(\u7535\u5b50\u7535\u8def\u8bbe\u8ba1?)\u3002\u4fe1\u53f7\u4e0e\u7cfb\u7edf\u5f52\u6839\u5230\u5e95\u5c31\u662f\u4e3a\u4e86\u7279\u5b9a\u7684\u9700\u6c42\u6765\u8bbe\u8ba1\u4e00\u4e2a\u7cfb\u7edf\u51fd\u6570\u3002\u8bbe\u8ba1\u51fa\u7cfb\u7edf\u51fd\u6570\u7684\u524d\u63d0\u662f\u628a\u8f93\u5165\u548c\u8f93\u51fa\u90fd\u7528\u51fd\u6570\u6765\u8868\u793a(\u4f8b\u5982sin(t))\u3002\u5206\u6790\u7684\u65b9\u6cd5\u5c31\u662f\u628a\u4e00\u4e2a\u590d\u6742\u7684\u4fe1\u53f7\u5206\u89e3\u4e3a\u82e5\u5e72\u4e2a\u7b80\u5355\u7684\u4fe1\u53f7\u7d2f\u52a0\uff0c\u5177\u4f53\u7684\u8fc7\u7a0b\u5c31\u662f\u4e00\u5927\u5806\u5fae\u79ef\u5206\u7684\u4e1c\u897f\uff0c\u5177\u4f53\u7684\u6570\u5b66\u8fd0\u7b97\u4e0d\u662f\u8fd9\u95e8\u8bfe\u7684\u4e2d\u5fc3\u601d\u60f3\u3002<\/p>\n \u90a3\u4e48\u7cfb\u7edf\u6709\u90a3\u4e9b\u79cd\u7c7b\u5462?<\/p>\n (a) \u6309\u529f\u80fd\u5206\u7c7b: \u8c03\u5236\u89e3\u8c03(\u4fe1\u53f7\u62bd\u6837\u548c\u91cd\u6784)\uff0c\u53e0\u52a0\uff0c\u6ee4\u6ce2\uff0c\u529f\u653e\uff0c\u76f8\u4f4d\u8c03\u6574\uff0c\u4fe1\u53f7\u65f6\u949f\u540c\u6b65\uff0c\u8d1f\u53cd\u9988\u9501\u76f8\u73af\uff0c\u4ee5\u53ca\u82e5\u5e72\u5b50\u7cfb\u7edf\u7ec4\u6210\u7684\u4e00\u4e2a\u66f4\u4e3a\u590d\u6742\u7684\u7cfb\u7edf—-\u4f60\u53ef\u4ee5\u753b\u51fa\u7cfb\u7edf\u6d41\u7a0b\u56fe\uff0c\u662f\u4e0d\u662f\u5f88\u63a5\u8fd1\u7f16\u5199\u7a0b\u5e8f\u7684\u903b\u8f91\u6d41\u7a0b\u56fe? \u786e\u5b9e\u5728\u7b26\u53f7\u7684\u7a7a\u95f4\u91cc\u5b83\u4eec\u6ca1\u6709\u533a\u522b\u3002\u8fd8\u6709\u5c31\u662f\u79bb\u6563\u72b6\u6001\u7684\u6570\u5b57\u4fe1\u53f7\u5904\u7406(\u540e\u7eed\u8bfe\u7a0b)\u3002<\/p>\n (b) \u6309\u7cfb\u7edf\u7c7b\u522b\u5212\u5206\uff0c\u65e0\u72b6\u6001\u7cfb\u7edf\uff0c\u6709\u9650\u72b6\u6001\u673a\uff0c\u7ebf\u6027\u7cfb\u7edf\u7b49\u3002\u800c\u7269\u7406\u5c42\u7684\u8fde\u7eed\u7cfb\u7edf\u51fd\u6570\uff0c\u662f\u4e00\u79cd\u590d\u6742\u7684\u7ebf\u6027\u7cfb\u7edf\u3002<\/p>\n 5. \u6700\u597d\u7684\u6559\u6750?<\/p>\n \u7b26\u53f7\u7cfb\u7edf\u7684\u6838\u5fc3\u662f\u96c6\u5408\u8bba\uff0c\u4e0d\u662f\u5fae\u79ef\u5206\uff0c\u6ca1\u6709\u96c6\u5408\u8bba\u6784\u9020\u51fa\u6765\u7684\u7cfb\u7edf\uff0c\u5b9e\u73b0\u7528\u5230\u7684\u5fae\u79ef\u5206\u4fbf\u6beb\u65e0\u610f\u4e49—-\u4f60\u751a\u81f3\u4e0d\u77e5\u9053\u8fd0\u7b97\u4e86\u534a\u5929\u5230\u5e95\u662f\u8981\u4f5c\u4ec0\u4e48\u3002\u4ee5\u8ba1\u7b97\u673a\u7684\u89c2\u70b9\u6765\u5b66\u4e60\u4fe1\u53f7\u4e0e\u7cfb\u7edf\uff0c\u6700\u597d\u7684\u6559\u6750\u4e4b\u4e00\u5c31\u662f<<Structure and Interpretationof Signals and Systems>>\uff0c \u4f5c\u8005\u662fUC Berkeley\u7684Edward A.Leeand Pravin Varaiya—-\u5148\u5b9a\u4e49\u518d\u5b9e\u73b0\uff0c\u7b26\u5408\u4eba\u7c7b\u7684\u601d\u7ef4\u4e60\u60ef\u3002\u56fd\u5185\u7684\u6559\u6750\u901a\u7bc7\u90fd\u662f\u6570\u5b66\u63a8\u5bfc\uff0c\u5c31\u662f\u4e0d\u80af\u8bf4\u8fd9\u4e9b\u63a8\u5bfc\u662f\u4e3a\u4e86\u4ec0\u4e48\u76ee\u7684\u6765\u505a\u7684\uff0c\u7528\u6765\u5f97\u5230\u4ec0\u4e48\uff0c\u5efa\u8bbe\u4ec0\u4e48\uff0c\u9632\u6b62\u4ec0\u4e48\uff1b\u4e0d\u53bb\u4ece\u8ba4\u8bc6\u8bba\u548c\u9700\u6c42\u4e0a\u8ba8\u8bba\uff0c\u901a\u7bc7\u90fd\u662f\u770b\u4e0d\u51fa\u76ee\u7684\u7684\u65b9\u6cd5\u8bba\uff0c\u672c\u672b\u5012\u7f6e\u4e86\u3002<\/p>\n \u7b2c\u4e09\u8bfe\uff1a\u62bd\u6837\u5b9a\u7406\u662f\u5e72\u4ec0\u4e48\u7684\uff1f<\/strong><\/p>\n 1. \u4e3e\u4e2a\u4f8b\u5b50\uff0c\u6253\u7535\u8bdd\u7684\u65f6\u5019\uff0c\u7535\u8bdd\u673a\u53d1\u51fa\u7684\u4fe1\u53f7\u662fPAM\u8109\u51b2\u8c03\u5e45\uff0c\u5728\u7535\u8bdd\u7ebf\u8def\u4e0a\u4f20\u7684\u4e0d\u662f\u8bdd\u97f3\uff0c\u800c\u662f\u8bdd\u97f3\u901a\u8fc7\u4fe1\u9053\u7f16\u7801\u8f6c\u6362\u540e\u7684\u8109\u51b2\u5e8f\u5217\uff0c\u5728\u6536\u7aef\u6062\u590d\u8bed\u97f3\u6ce2\u5f62\u3002\u90a3\u4e48\u5bf9\u4e8e\u8fde\u7eed\u7684\u8bf4\u8bdd\u4eba\u8bed\u97f3\u4fe1\u53f7\uff0c\u5982\u4f55\u8f6c\u5316\u6210\u4e3a\u4e00\u4e9b\u5217\u8109\u51b2\u624d\u80fd\u4fdd\u8bc1\u57fa\u672c\u4e0d\u5931\u771f\uff0c\u53ef\u4ee5\u4f20\u8f93\u5462? \u5f88\u660e\u663e\uff0c\u6211\u4eec\u60f3\u5230\u7684\u5c31\u662f\u53d6\u6837\uff0c\u6bcf\u9694M\u6beb\u79d2\u5bf9\u8bdd\u97f3\u91c7\u6837\u4e00\u6b21\u770b\u770b\u7535\u4fe1\u53f7\u632f\u5e45\uff0c\u628a\u632f\u5e45\u8f6c\u6362\u4e3a\u8109\u51b2\u7f16\u7801\uff0c\u4f20\u8f93\u51fa\u53bb\uff0c\u5728\u6536\u7aef\u6309\u67d0\u79cd\u89c4\u5219\u91cd\u65b0\u751f\u6210\u8bed\u8a00\u3002<\/p>\n \u90a3\u4e48\uff0c\u95ee\u9898\u6765\u4e86\uff0c\u6bcfM\u6beb\u79d2\u91c7\u6837\u4e00\u6b21\uff0cM\u591a\u5c0f\u662f\u8db3\u591f\u7684? \u5728\u6536\u7aef\u600e\u4e48\u624d\u80fd\u6062\u590d\u8bed\u8a00\u6ce2\u5f62\u5462?<\/p>\n \u5bf9\u4e8e\u7b2c\u4e00\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u8003\u8651\uff0c\u8bed\u97f3\u4fe1\u53f7\u662f\u4e2a\u65f6\u95f4\u9891\u7387\u4fe1\u53f7(\u6240\u4ee5\u5bf9\u5e94\u7684F\u53d8\u6362\u5c31\u8868\u793a\u65f6\u95f4\u9891\u7387)\u628a\u8bed\u97f3\u4fe1\u53f7\u5206\u89e3\u4e3a\u82e5\u5e72\u4e2a\u4e0d\u540c\u9891\u7387\u7684\u5355\u97f3\u6df7\u5408\u4f53(\u5468\u671f\u51fd\u6570\u7684\u590d\u5229\u53f6\u7ea7\u6570\u5c55\u5f00\uff0c\u975e\u5468\u671f\u7684\u533a\u95f4\u51fd\u6570\uff0c\u53ef\u4ee5\u770b\u6210\u8865\u9f50\u4ee5\u540e\u7684\u5468\u671f\u4fe1\u53f7\u5c55\u5f00\uff0c\u6548\u679c\u4e00\u6837)\uff0c\u5bf9\u4e8e\u6700\u9ad8\u9891\u7387\u7684\u4fe1\u53f7\u5206\u91cf\uff0c\u5982\u679c\u62bd\u6837\u65b9\u5f0f\u80fd\u5426\u4fdd\u8bc1\u6062\u590d\u8fd9\u4e2a\u5206\u91cf\uff0c\u90a3\u4e48\u5176\u4ed6\u7684\u4f4e\u9891\u7387\u5206\u91cf\u4e5f\u5c31\u80fd\u901a\u8fc7\u62bd\u6837\u7684\u65b9\u5f0f\u4f7f\u5f97\u4fe1\u606f\u5f97\u4ee5\u4fdd\u5b58\u3002\u5982\u679c\u4eba\u7684\u58f0\u97f3\u9ad8\u9891\u9650\u5236\u57283000Hz\uff0c\u90a3\u4e48\u9ad8\u9891\u5206\u91cf\u6211\u4eec\u770b\u6210sin(3000t)\uff0c\u8fd9\u4e2asin\u51fd\u6570\u8981\u901a\u8fc7\u62bd\u6837\u4fdd\u5b58\u4fe1\u606f\uff0c\u53ef\u4ee5\u770b\u4e3a: \u5bf9\u4e8e\u4e00\u4e2a\u5468\u671f\uff0c\u6ce2\u5cf0\u91c7\u6837\u4e00\u6b21\uff0c\u6ce2\u8c37\u91c7\u6837\u4e00\u6b21\uff0c\u4e5f\u5c31\u662f\u91c7\u6837\u9891\u7387\u662f\u6700\u9ad8\u9891\u7387\u5206\u91cf\u76842\u500d(\u5948\u594e\u65af\u7279\u62bd\u6837\u5b9a\u7406)\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u901a\u8fc7\u91c7\u6837\u4fe1\u53f7\u65e0\u635f\u7684\u8868\u793a\u539f\u59cb\u7684\u6a21\u62df\u8fde\u7eed\u4fe1\u53f7\u3002\u8fd9\u4e24\u4e2a\u4fe1\u53f7\u4e00\u4e00\u5bf9\u5e94\uff0c\u4e92\u76f8\u7b49\u4ef7\u3002<\/p>\n \u5bf9\u4e8e\u7b2c\u4e8c\u4e2a\u95ee\u9898\uff0c\u5728\u6536\u7aef\uff0c\u600e\u4e48\u4ece\u8109\u51b2\u5e8f\u5217(\u68b3\u88c5\u6ce2\u5f62)\u6062\u590d\u6a21\u62df\u7684\u8fde\u7eed\u4fe1\u53f7\u5462? \u9996\u5148\uff0c\u6211\u4eec\u5df2\u7ecf\u80af\u5b9a\u4e86\u5728\u9891\u7387\u57df\u4e0a\u9762\u7684\u8109\u51b2\u5e8f\u5217\u5df2\u7ecf\u5305\u542b\u4e86\u5168\u90e8\u4fe1\u606f\uff0c\u4f46\u662f\u539f\u59cb\u4fe1\u606f\u53ea\u5728\u67d0\u4e00\u4e2a\u9891\u7387\u4ee5\u4e0b\u5b58\u5728\uff0c\u600e\u4e48\u505a? \u6211\u4eec\u8ba9\u8f93\u5165\u8109\u51b2\u4fe1\u53f7I\u901a\u8fc7\u4e00\u4e2a\u8bbe\u5907X\uff0c\u8f93\u51fa\u4fe1\u53f7\u4e3a\u539f\u59cb\u7684\u8bed\u97f3O\uff0c\u90a3\u4e48I(*)X=O\uff0c\u8fd9\u91cc(*)\u8868\u793a\u5377\u79ef\u3002\u65f6\u57df\u7684\u7279\u6027\u4e0d\u597d\u5206\u6790\uff0c\u90a3\u4e48\u5728\u9891\u7387\u57df F(I)*F(X)=F(O)\u76f8\u4e58\u5173\u7cfb\uff0c\u8fd9\u4e0b\u5c31\u5f88\u660e\u663e\u4e86\uff0c\u53ea\u8981F(X)\u662f\u4e00\u4e2a\u7406\u60f3\u7684\uff0c\u4f4e\u901a\u6ee4\u6ce2\u5668\u5c31\u53ef\u4ee5\u4e86(\u5728F\u57df\u753b\u51fa\u6765\u5c31\u662f\u4e00\u4e2a\u65b9\u6846)\uff0c\u5b83\u5728\u65f6\u95f4\u57df\u662f\u4e00\u4e2a\u949f\u578b\u51fd\u6570(\u7531\u4e8e\u5305\u542b\u65f6\u95f4\u8f74\u7684\u8d1f\u6570\u90e8\u5206\uff0c\u6240\u4ee5\u5b9e\u9645\u4e2d\u4e0d\u5b58\u5728)\uff0c\u505a\u51fa\u8fd9\u6837\u7684\u4e00\u4e2a\u4fe1\u53f7\u5904\u7406\u8bbe\u5907\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u901a\u8fc7\u8f93\u5165\u7684\u8109\u51b2\u5e8f\u5217\u5f97\u5230\u51e0\u4e4e\u7406\u60f3\u7684\u539f\u59cb\u7684\u8bed\u97f3\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6211\u4eec\u7684\u62bd\u6837\u9891\u7387\u901a\u5e38\u662f\u5948\u594e\u65af\u7279\u9891\u7387\u518d\u591a\u4e00\u70b9\uff0c3k\u8d6b\u5179\u7684\u8bed\u97f3\u4fe1\u53f7\uff0c\u62bd\u6837\u6807\u51c6\u662f8k\u8d6b\u5179\u3002<\/p>\n 2. \u518d\u4e3e\u4e00\u4e2a\u4f8b\u5b50\uff0c\u5bf9\u4e8e\u6570\u5b57\u56fe\u50cf\uff0c\u62bd\u6837\u5b9a\u7406\u5bf9\u5e94\u4e8e\u56fe\u7247\u7684\u5206\u8fa8\u7387—-\u62bd\u6837\u5bc6\u5ea6\u8d8a\u5927\uff0c\u56fe\u7247\u7684\u5206\u8fa8\u7387\u8d8a\u9ad8\uff0c\u4e5f\u5c31\u8d8a\u6e05\u6670\u3002\u5982\u679c\u6211\u4eec\u7684\u62bd\u6837\u9891\u7387\u4e0d\u591f\uff0c\u4fe1\u606f\u5c31\u4f1a\u53d1\u751f\u6df7\u53e0—-\u7f51\u4e0a\u6709\u4e00\u5e45\u56fe\u7247\uff0c\u8fd1\u89c6\u773c\u6234\u773c\u955c\u770b\u5230\u7684\u662f\u7231\u56e0\u65af\u5766\uff0c\u6458\u6389\u773c\u775b\u770b\u5230\u7684\u662f\u68a6\u9732—-\u56e0\u4e3a\u4e0d\u5e26\u773c\u775b\uff0c\u5206\u8fa8\u7387\u4e0d\u591f(\u62bd\u6837\u9891\u7387\u592a\u4f4e)\uff0c\u9ad8\u9891\u5206\u91cf\u5931\u771f\u88ab\u6df7\u5165\u4e86\u4f4e\u9891\u5206\u91cf\uff0c\u624d\u9020\u6210\u4e86\u4e00\u4e2a\u89c6\u89c9\u9677\u9631\u3002\u5728\u8fd9\u91cc\uff0c\u56fe\u50cf\u7684F\u53d8\u5316\uff0c\u5bf9\u5e94\u7684\u662f\u7a7a\u95f4\u9891\u7387\u3002<\/p>\n \u8bdd\u8bf4\u56de\u6765\u4e86\uff0c\u76f4\u63a5\u5728\u4fe1\u9053\u4e0a\u4f20\u539f\u59cb\u8bed\u97f3\u4fe1\u53f7\u4e0d\u597d\u5417? \u6a21\u62df\u4fe1\u53f7\u6ca1\u6709\u6297\u5e72\u6270\u80fd\u529b\uff0c\u6ca1\u6709\u7ea0\u9519\u80fd\u529b\uff0c\u62bd\u6837\u5f97\u5230\u7684\u4fe1\u53f7\uff0c\u6709\u4e86\u6570\u5b57\u7279\u6027\uff0c\u4f20\u8f93\u6027\u80fd\u66f4\u4f73\u3002<\/p>\n \u4ec0\u4e48\u4fe1\u53f7\u4e0d\u80fd\u7406\u60f3\u62bd\u6837? \u65f6\u57df\u6709\u8df3\u53d8\uff0c\u9891\u57df\u65e0\u7a77\u5bbd\uff0c\u4f8b\u5982\u65b9\u6ce2\u4fe1\u53f7\u3002\u5982\u679c\u7528\u6709\u9650\u5e26\u5bbd\u7684\u62bd\u6837\u4fe1\u53f7\u8868\u793a\u5b83\uff0c\u76f8\u5f53\u4e8e\u590d\u5229\u53f6\u7ea7\u6570\u53d6\u4e86\u90e8\u5206\u548c\uff0c\u800c\u8fd9\u4e2a\u90e8\u5206\u548c\u5728\u6062\u590d\u539f\u59cb\u4fe1\u53f7\u7684\u65f6\u5019\uff0c\u5728\u4e0d\u53ef\u5bfc\u7684\u70b9\u4e0a\u9762\u4f1a\u6709\u6bdb\u523a\uff0c\u4e5f\u53eb\u5409\u5e03\u65af\u73b0\u8c61\u3002<\/p>\n 3. \u4e3a\u4ec0\u4e48\u5085\u7acb\u53f6\u60f3\u51fa\u4e86\u8fd9\u4e48\u4e00\u4e2a\u7ea7\u6570\u6765? \u8fd9\u4e2a\u6e90\u4e8e\u897f\u65b9\u54f2\u5b66\u548c\u79d1\u5b66\u7684\u57fa\u672c\u601d\u60f3: \u6b63\u4ea4\u5206\u6790\u65b9\u6cd5\u3002\u4f8b\u5982\u7814\u7a76\u4e00\u4e2a\u7acb\u4f53\u5f62\u72b6\uff0c\u6211\u4eec\u4f7f\u7528x,y,z\u4e09\u4e2a\u4e92\u76f8\u6b63\u4ea4\u7684\u8f74: \u4efb\u4f55\u4e00\u4e2a\u8f74\u5728\u5176\u4ed6\u8f74\u4e0a\u9762\u7684\u6295\u5f71\u90fd\u662f0\u3002\u8fd9\u6837\u7684\u8bdd\uff0c\u4e00\u4e2a\u7269\u4f53\u76843\u89c6\u56fe\u5c31\u53ef\u4ee5\u5b8c\u5168\u8868\u8fbe\u5b83\u7684\u5f62\u72b6\u3002\u540c\u7406\uff0c\u4fe1\u53f7\u600e\u4e48\u5206\u89e3\u548c\u5206\u6790\u5462? \u7528\u4e92\u76f8\u6b63\u4ea4\u7684\u4e09\u89d2\u51fd\u6570\u5206\u91cf\u7684\u65e0\u9650\u548c\uff1a\u8fd9\u5c31\u662f\u5085\u7acb\u53f6\u7684\u8d21\u732e\u3002<\/p>\n \u7b2c\u56db\u8bfe\uff1a\u5085\u7acb\u53f6\u53d8\u6362\u7684\u590d\u6570\u5c0f\u6ce2<\/strong><\/p>\n \u8bf4\u7684\u5e7f\u4e49\u4e00\u70b9\uff0c”\u590d\u6570”\u662f\u4e00\u4e2a”\u6982\u5ff5”\uff0c\u4e0d\u662f\u4e00\u79cd\u5ba2\u89c2\u5b58\u5728\u3002<\/p>\n \u4ec0\u4e48\u662f”\u6982\u5ff5”? \u4e00\u5f20\u7eb8\u6709\u51e0\u4e2a\u9762? \u4e24\u4e2a\uff0c\u8fd9\u91cc”\u9762”\u662f\u4e00\u4e2a\u6982\u5ff5\uff0c\u4e00\u4e2a\u4e3b\u89c2\u5bf9\u5ba2\u89c2\u5b58\u5728\u7684\u8ba4\u77e5\uff0c\u5c31\u50cf”\u5927”\u548c”\u5c0f”\u7684\u6982\u5ff5\u4e00\u6837\uff0c\u53ea\u5bf9\u4eba\u7684\u610f\u8bc6\u6709\u610f\u4e49\uff0c\u5bf9\u5ba2\u89c2\u5b58\u5728\u672c\u8eab\u6ca1\u6709\u610f\u4e49(\u5eb7\u5fb7: \u7eaf\u7cb9\u7406\u6027\u7684\u6279\u5224)\u3002\u628a\u7eb8\u6761\u7684\u4e24\u8fb9\u8f6c\u4e00\u4e0b\u76f8\u8fde\u63a5\uff0c\u53d8\u6210”\u83ab\u6bd4\u4e4c\u65af\u5708”\uff0c\u8fd9\u4e2a\u7eb8\u6761\u5c31\u53ea\u5269\u4e0b\u4e00\u4e2a”\u9762”\u4e86\u3002\u6982\u5ff5\u662f\u5bf9\u5ba2\u89c2\u4e16\u754c\u7684\u52a0\u5de5\uff0c\u53cd\u6620\u5230\u610f\u8bc6\u4e2d\u7684\u4e1c\u897f\u3002<\/p>\n \u6570\u7684\u6982\u5ff5\u662f\u8fd9\u6837\u88ab\u63a8\u5e7f\u7684: \u4ec0\u4e48\u6570x\u4f7f\u5f97x^2=-1? 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