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4) \u8ffd\u6c42\u7cbe\u786e\u6570\u636e\u5b58\u5728\u5f0a\u7aef<\/span><\/strong><\/section>\n

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\u4f4e\u7cbe\u5ea6\u7684\u96c6\u503c\u6570\u636e\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u8d77\u5230\u4e86\u8d8a\u6765\u8d8a\u91cd\u8981\u7684\u4f5c\u7528\uff0c\u4ece\u7814\u7a76\u7684\u89d2\u5ea6\u800c\u8a00\uff0c\u4ee5\u4e0a\u8bf8\u591a\u4f8b\u5b50\u90fd\u53ef\u4ee5\u5f52\u7ed3\u4e3a\u56fe 1 \u4e2d\u7684\u7cfb\u7edf\u3002<\/span><\/section>\n

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2.1 \u96c6\u503c\u7cfb\u7edf\u7684\u8fa8\u8bc6<\/span><\/strong><\/span><\/h2>\n

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2.1.1 \u57fa\u4e8e\u4e8c\u96c6\u503c\u8f93\u51fa\u7684\u7ebf\u6027\u7cfb\u7edf\u8fa8\u8bc6\u53ca\u8f93\u5165\u8bbe\u8ba1\u65b9\u6cd5<\/span><\/strong><\/span><\/h3>\n

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2.1.2 \u4e8c\u96c6\u503c\u8f93\u51fa\u7684 Wiener \u7cfb\u7edf\u8fa8\u8bc6<\/span><\/strong><\/span><\/h3>\n

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\u56fe 2 \u57fa\u4e8e\u4e8c\u96c6\u503c\u8f93\u51fa\u7684Wiener\u7cfb\u7edf<\/span><\/section>\n

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\u9488\u5bf9\u975e\u7ebf\u6027\uff0c \u56e2\u961f\u63d0\u51fa\u6bd4\u4f8b\u6ee1\u79e9\u4fe1\u53f7\u548c\u8054\u5408\u53ef\u8fa8\u8bc6\u6027\u7684\u6982\u5ff5\u3002\u8f93\u5165\u4fe1\u53f7\u7684\u6bd4\u4f8b\u7279\u6027\u4f7f\u5f97\u7cfb\u7edf\u7684\u4e2d\u95f4\u53d8\u91cf\u5177\u6709\u76f8\u540c\u7684\u6bd4\u4f8b\u6027\u8d28\u3002\u7ed3\u5408\u6210\u6bd4\u4f8b\u7684\u72b6\u6001\u548c\u4e8c\u96c6\u503c\u7684\u8f93\u51fa\u4fe1\u606f\u5c31\u6784\u6210\u4e86\u5173\u4e8e\u975e\u7ebf\u6027\u90e8\u5206\u8fa8\u8bc6\u7684\u201c\u6838\u5fc3\u8fa8\u8bc6\u95ee\u9898\u201d\uff0c\u800c\u8054\u5408\u53ef\u8fa8\u8bc6\u6027\u5219\u4fdd\u8bc1\u4e86\u6838\u5fc3\u8fa8\u8bc6\u95ee\u9898\u7684\u89e3\u51b3\uff0c\u53ef\u4ee5\u8bc1\u660e\u5173\u4e8e\u6838\u5fc3\u8fa8\u8bc6\u95ee\u9898\u7684\u7b97\u6cd5\u662f\u6e10\u8fd1\u6700\u4f18\u7684\u3002\u8fd9\u6837\uff0c\u5c31\u628a\u975e\u7ebf\u6027\u90e8\u5206\u7684\u53c2\u6570\u8fa8\u8bc6\u51fa\u6765\u4e86\u3002\u5229\u7528\u5df2\u6709\u7684\u975e\u7ebf\u6027\u90e8\u5206\u53c2\u6570\u7684\u4f30\u8ba1\uff0c\u7ed3\u5408\u8f93\u5165\u4fe1\u53f7\u7684\u6ee1\u79e9\u7279\u6027\uff0c\u5bf9\u7ebf\u6027\u90e8\u5206\u7684\u53c2\u6570\u8fdb\u884c\u4f30\u8ba1\u3002<\/span><\/section>\n


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2.1.3 \u96c6\u503c\u8f93\u51fa\u7684 Hammerstein \u7cfb\u7edf\u8fa8\u8bc6<\/span><\/strong><\/span><\/h3>\n

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\u5bf9\u5982\u56fe3\u6240\u793a\u7684\u5177\u96c6\u503c\u8f93\u51fa\u4ee5\u53ca\u591a\u9879\u5f0f\u5f62\u5f0f\u9759\u6001\u975e\u7ebf\u6027\u7684Hammerstein \u7cfb\u7edf[6]\uff0c\u5728\u4e0d\u8981\u6c42\u975e\u7ebf\u6027\u90e8\u5206\u5355\u8c03\u7684\u524d\u63d0\u4e0b\uff0c\u9488\u5bf9\u7cfb\u7edf\u7684\u7ed3\u6784\u7279\u70b9\uff0c\u63d0\u51fa\u6bd4\u4f8b\u5f3a\u6ee1\u79e9\u4fe1\u53f7\u7684\u6982\u5ff5\uff0c\u6784\u9020\u4e86\u8fa8\u8bc6\u7b97\u6cd5\uff0c\u5206\u6790\u4e86\u7b97\u6cd5\u7684\u6700\u4f18\u6027\u3002<\/span><\/section>\n

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<\/section>\n
\u56fe 3 \u96c6\u503c\u8f93\u51faHammerstein\u7cfb\u7edf<\/span><\/section>\n

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\u5728\u4e8c\u96c6\u503c\u8f93\u51fa\u89c2\u6d4b\u7684\u524d\u63d0\u4e0b\uff0c\u8fa8\u8bc6 Hammerstein\u7cfb\u7edf\u6bd4\u8fa8\u8bc6Wiener \u7cfb\u7edf\u8fd8\u8981\u96be\uff0c\u8fd9\u662f\u56e0\u4e3aHammerstein\u7cfb\u7edf\u4e0e\u4e8c\u96c6\u503c\u4f20\u611f\u5668\u8fd9\u79cd\u975e\u7ebf\u6027\u5143\u4ef6\u7ed3\u5408\u4e4b\u540e\uff0c\u975e\u7ebf\u6027\u540c\u65f6\u5b58\u5728\u4e8e\u8f93\u51fa\u7aef\u548c\u8f93\u5165\u7aef\uff0c\u8fd9\u4e3a\u7cfb\u7edf\u8fa8\u8bc6\u5e26\u6765\u4e86\u4e00\u5b9a\u7684\u96be\u5ea6\u3002\u4e3a\u4e86\u7814\u7a76\u4e8c\u96c6\u503c\u8f93\u51fa\u7684Hammerstein\u7cfb\u7edf\u8fa8\u8bc6\uff0c\u5c31\u9700\u8981\u63a2\u7d22\u65b0\u7684\u601d\u8def\u548c\u65b9\u6cd5\u3002\u8003\u8651\u56fe3\u4e2d\u7684Hammerstein \u7cfb\u7edf\uff0c\u56e2\u961f\u91cd\u70b9\u7814\u4e86Hammerstein \u7cfb\u7edf\u5177\u6709\u591a\u9879\u5f0f\u5f62\u5f0f\u7684\u975e\u7ebf\u6027\u90e8\u5206\uff0c\u4e14\u7cfb\u7edf\u7684\u8f93\u51fa\u88ab\u4e8c\u96c6\u503c\u4f20\u611f\u5668\u6d4b\u91cf\u3002\u7528\u5f3a\u6ee1\u79e9\u5468\u671f\u8f93\u5165\uff0c\u53ef\u4ee5\u6709\u6548\u514b\u670d\u4e24\u7aef\u975e\u7ebf\u6027\u7ed9\u8fa8\u8bc6\u5e26\u6765\u7684\u56f0\u96be\u3002<\/span><\/section>\n


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2.1.4 \u9012\u63a8\u6295\u5f71\u8fa8\u8bc6\u7b97\u6cd5<\/span><\/strong><\/span><\/h3>\n

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\u7531\u4e8e\u4e8c\u503c\u7cfb\u7edf\u7684\u9002\u5e94\u63a7\u5236\u95ee\u9898\u8981\u6c42\u4e00\u79cd\u5728\u7ebf\u8fa8\u8bc6\u7b97\u6cd5\uff0c\u73b0\u6709\u6587\u732e[7]\u63d0\u51fa\u4e86\u9012\u63a8\u6295\u5f71\u8fa8\u8bc6\u7b97\u6cd5\uff0c\u7ed9\u51fa\u4e86\u76f8\u6bd4\u5df2\u6709\u7684\u9012\u63a8\u6295\u5f71\u8fa8\u8bc6\u7b97\u6cd5\u66f4\u5feb\u6536\u655b\u901f\u5ea6\u7684\u7ed3\u679c\u3002\u5728\u7b97\u6cd5\u7684\u6536\u655b\u6027\u5206\u6790\u65f6\uff0c\u4f30\u8ba1\u7684\u5747\u65b9\u8bef\u5dee\u5305\u62ec\u72b6\u6001\u9879\u3001\u4e2d\u95f4\u9879\u548c\u65b0\u606f\u9879\uff0c\u65b0\u606f\u7531\u4e8c\u503c\u5316\u4fe1\u606f\u548c\u566a\u58f0\u5206\u5e03\u51fd\u6570\u6784\u6210\uff0c\u4e14\u6295\u5f71\u786e\u4fdd\u4e86\u4f30\u8ba1\u7684\u6709\u754c\u6027\u3002\u7531\u4e8e\u4e2d\u95f4\u9879\u548c\u65b0\u606f\u9879\u7684\u8fd9\u4e9b\u7279\u5f81\uff0c\u53ef\u4ee5\u5f97\u5230\u6574\u4e2a\u4f30\u8ba1\u7684\u5747\u65b9\u8bef\u5dee\u6536\u655b\u901f\u5ea6\u7684\u6570\u91cf\u7ea7\u3002<\/span><\/section>\n


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2.1.5 \u9002\u7528\u66f4\u4e00\u822c\u6761\u4ef6\u7684\u9012\u63a8\u8fa8\u8bc6\u7b97\u6cd5<\/span><\/strong><\/span><\/h3>\n

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\u4e0a\u8ff0\u7684\u9012\u63a8\u6295\u5f71\u8fa8\u8bc6\u7b97\u6cd5\u5b58\u5728\u7b97\u6cd5\u8bbe\u8ba1\u4f9d\u8d56\u4e8e\u566a\u58f0\u5206\u5e03\u3001\u4ec5\u9002\u7528\u4e8eFIR\u6a21\u578b\u3001 \u8981\u6c42\u8f93\u5165\u662f\u6301\u7eed\u6fc0\u52b1\u7684\u3001 \u5f85\u8fa8\u8bc6\u53c2\u6570\u7684\u53d6\u503c\u8303\u56f4\u4e8b\u5148\u77e5\u9053\u7b49\u9650\u5236\uff0c\u5982\u4f55\u653e\u5bbd\u4e0a\u8ff0\u9650\u5236\u5e76\u8bbe\u8ba1\u6709\u6548\u7684\u9012\u63a8\u8fa8\u8bc6\u7b97\u6cd5\u662f\u503c\u5f97\u7814\u7a76\u7684\u95ee\u9898\u3002\u4ee5\u4e0b<\/span>\u6587\u732e[9-11,13,14]\u4ece\u66f4\u5e7f<\/span>\u7684\u566a\u58f0\u3001\u66f4\u4e00\u822c\u7684\u7cfb\u7edf\u3001\u66f4\u5bbd\u7684\u8f93\u5165\u3001\u66f4\u5c11\u7684\u5148\u9a8c\u7b49\u56db\u65b9\u9762\u4ecb\u7ecd\u56e2\u961f\u5728\u9012\u63a8\u8fa8\u8bc6\u7b97\u6cd5\u65b9\u9762\u7684\u7814\u7a76\u8fdb\u5c55\uff1a<\/span><\/section>\n

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\u66f4\u5e7f\u7684\u566a\u58f0\u6761\u4ef6\uff1a\u76ee\u524d\u51e0\u4e4e\u6240\u6709\u91cf\u5316\u8fa8\u8bc6\u7684\u6587\u732e\u4ec5\u5728\u968f\u673a\u566a\u58f0\u6216\u786e\u5b9a\u6027\u566a\u58f0\u7684\u524d\u63d0\u4e0b\u7814\u7a76\u57fa\u4e8e\u91cf\u5316\u6570\u636e\u7684\u53c2\u6570\u8fa8\u8bc6\uff0c\u7f3a\u4e4f\u7edf\u4e00\u4e24\u79cd\u6846\u67b6\u7684\u9012\u63a8\u8fa8\u8bc6\u7b97\u6cd5\u3002\u56e2\u961f\u57fa\u4e8e\u4e00\u79cd\u81ea\u9002\u5e94\u9608\u503c\u7684\u8bbe\u8ba1\uff0c\u514b\u670d\u4e86\u91cf\u5316\u7cfb\u7edf\u5728\u786e\u5b9a\u6027\u6846\u67b6\u4e2d\u7f3a\u4e4f\u6fc0\u52b1\u800c\u96be\u4ee5\u8fa8\u8bc6\u7684\u96be\u70b9\uff0c\u6784\u9020\u4e86\u9996\u4e2a\u540c\u65f6\u9002\u7528\u4e8e\u786e\u5b9a\u6027\u566a\u58f0\u548c\u968f\u673a\u566a\u58f0\u7684\u9012\u63a8\u5728\u7ebf\u8fa8\u8bc6\u7b97\u6cd5\uff0c\u5e76\u5206\u522b\u7ed9\u51fa\u4e86\u7b97\u6cd5\u7684\u6536\u655b\u6027\u5206\u6790\u3002<\/span><\/section>\n

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\u66f4\u4e00\u822c\u7684\u7cfb\u7edf\uff1a\u56e2\u961f\u9488\u5bf9\u5728\u6301\u7eed\u6fc0\u52b1\u548c\u56fa\u5b9a\u9608\u503c\u4e0b\u5177\u6709\u4e8c\u503c\u89c2\u6d4b\u7684ARMA\u6a21\u578b\u53c2\u6570\u8fa8\u8bc6\u95ee\u9898\uff0c\u514b\u670d\u4e86\u56de\u5f52\u9879\u4fe1\u606f\u592a\u5c11\u7684\u96be\u70b9\uff0c\u63d0\u51fa\u4e86\u4e00\u79cd\u4ec5\u4f7f\u7528\u4e8c\u503c\u89c2\u6d4b\u503c\u7684\u5728\u7ebf\u8bc6\u522b\u7b97\u6cd5\uff0c\u5305\u62ec\u53c2\u6570\u4f30\u8ba1\u4ee5\u53ca\u7cfb\u7edf\u8f93\u51fa\u503c\u7684\u9884\u6d4b\uff0c\u540c\u65f6\u5229\u7528\u8026\u5408\u7684Lyapunov\u51fd\u6570\uff0c\u6700\u7ec8\u8bc1\u660e\u5728\u4e00\u5b9a\u6761\u4ef6\u4e0b\u8be5\u7b97\u6cd5\u662f\u6536\u655b\u7684\uff0c\u6536\u655b\u901f\u5ea6\u53ef\u4ee5\u8fbe\u5230\u4e0e\u8fed\u4ee3\u6b21\u6570\u7684\u5012\u6570\u540c\u9636\uff0c\u4e0e\u4e4b\u524dFIR\u7cfb\u7edf\u53c2\u6570\u8fa8\u8bc6\u7ed3\u8bba\u7684\u9636\u6b21\u76f8\u540c\uff0c\u5e76\u4e14\u5f53ARMA\u6a21\u578b\u9000\u5316\u5230FIR\u6a21\u578b\uff0c\u76f8\u5e94\u6536\u655b\u901f\u5ea6\u8fbe\u5230\u7684\u6761\u4ef6\u4e5f\u76f8\u540c\u3002<\/span><\/section>\n

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\u66f4\u5bbd\u7684\u8f93\u5165\u6761\u4ef6\uff1a\u76ee\u524d\u96c6\u503c\u8fa8\u8bc6\u7b97\u6cd5\u5927\u591a\u8981\u6c42\u8f93\u5165\u6570\u636e\u7684\u6301\u7eed\u6fc0\u52b1\u6027\uff0c\u4f46\u8fd9\u5728\u53cd\u9988\u63a7\u5236\u7cfb\u7edf\u4e2d\u5f88\u96be\u6ee1\u8db3\uff0c\u4e3a\u6b64\uff0c\u56e2\u961f\u57fa\u4e8e\u65f6\u53d8\u6295\u5f71\u7684\u8bbe\u8ba1\u4e86\u62df\u725b\u987f\u578b\u9012\u63a8\u8fa8\u8bc6\u7b97\u6cd5\uff0c\u5176\u6b65\u957f\u7531\u6807\u91cf\u53d8\u4e3a\u77e9\u9635\u5f62\u5f0f\uff0c\u4f7f\u5f97\u5176\u6570\u636e\u4fe1\u606f\u66f4\u5145\u5206\u7684\u878d\u5408\u5230\u6b65\u957f\u8bbe\u8ba1\u4e2d\uff0c\u5728\u6700\u5f31\u6fc0\u52b1\u6761\u4ef6\u4e0b\u5efa\u7acb\u4e86\u7b97\u6cd5\u7684\u51e0\u4e4e\u5904\u5904\u6536\u655b\u6027\u3002<\/span><\/section>\n

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\u66f4\u5c11\u7684\u5148\u9a8c\u4fe1\u606f\uff1a\u9488\u5bf9\u5177\u6709\u4e8c\u503c\u89c2\u6d4b\u7684FIR\u7cfb\u7edf\u8fa8\u8bc6\u95ee\u9898\uff0c\u56e2\u961f\u9996\u6b21\u5728\u65e0\u9700\u53c2\u6570\u5148\u9a8c\u4fe1\u606f\u524d\u63d0\u4e0b\u63d0\u51fa\u4e86\u65e0\u6295\u5f71\u5728\u7ebf\u91cf\u5316\u8fa8\u8bc6\u7b97\u6cd5\u3002\u521b\u65b0\u6027\u5730\u5229\u7528\u7b97\u6cd5\u5c3e\u5206\u5e03\u7684\u6027\u8d28\uff0c\u653b\u514b\u4e86\u538b\u7f29\u7cfb\u6570\u4e0e\u4f30\u8ba1\u8026\u5408\u7684\u96be\u70b9\uff0c\u5e76\u5728\u975e\u5468\u671f\u4fe1\u53f7\u6761\u4ef6\u4e0b\u7ed9\u51fa\u4e86\u76ee\u524d\u6700\u4f18\u6536\u655b\u9636\u7684\u51e0\u4e4e\u5904\u5904\u6536\u655b\u901f\u5ea6\u548c\u5747\u65b9\u6536\u655b\u901f\u5ea6\u3002\u5728\u6b64\u57fa\u7840\u4e4b\u4e0a\u8fdb\u4e00\u6b65\u8003\u8651\u4e86\u8870\u51cf\u6fc0\u52b1\u8f93\u5165\u3001\u672a\u77e5\u566a\u58f0\u5206\u5e03\u548c\u7f3a\u5c11\u53c2\u6570\u4f4d\u7f6e\u5148\u9a8c\u4fe1\u606f\u60c5\u5f62\uff0c\u5206\u6790\u4e86\u96c6\u503c\u7cfb\u7edf\u7684\u53ef\u8fa8\u8bc6\u6027\u95ee\u9898\uff0c\u5e76\u8bbe\u8ba1\u4e86\u201c\u5206\u89e3-\u91cd\u6784\u201d\u578b\u8054\u5408\u8fa8\u8bc6\u7b97\u6cd5\uff0c\u5b9e\u73b0\u4e86\u5bf9\u96c6\u503c\u7cfb\u7edf\u672a\u77e5\u53c2\u6570\u53ca\u566a\u58f0\u5206\u5e03\u53c2\u6570\u7684\u8054\u5408\u5728\u7ebf\u8fa8\u8bc6\u3002<\/span><\/section>\n


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2.1.6 \u6700\u4f18\u9012\u63a8\u8fa8\u8bc6\u7b97\u6cd5<\/span><\/strong><\/span><\/h3>\n

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\u968f\u7740\u96c6\u503c\u8fa8\u8bc6\u7406\u8bba\u4f53\u7cfb\u7684\u521d\u6b65\u5efa\u7acb\uff0c\u4e00\u4e2a\u81ea\u7136\u7684\u7591\u95ee\u662f\u5982\u4f55\u5b9e\u73b0\u96c6\u503c\u8fa8\u8bc6\u7b97\u6cd5\u7684\u6027\u80fd\u6781\u9650\uff0c\u5373\u5982\u4f55\u8bbe\u8ba1\u6700\u4f18\u8fa8\u8bc6\u7b97\u6cd5\u3002\u7531\u4e8e\u96c6\u503c\u89c2\u6d4b\u7684\u5f3a\u975e\u7ebf\u6027\uff0c\u5176\u5747\u65b9\u635f\u5931\u51fd\u6570\u5448\u73b0\u975e\u51f8\u7279\u6027\uff0c\u65e0\u6cd5\u901a\u8fc7\u6c42\u89e3\u6700\u5c0f\u635f\u5931\u51fd\u6570\u7ed9\u51fa\u6700\u4f18\u7b97\u6cd5\u8bbe\u8ba1\u3002\u4f46\u6ce8\u610f\u5230Cramer-Rao\u4e0b\u754c\u53ef\u4f5c\u4e3a\u4f30\u8ba1\u597d\u574f\u7684\u8bc4\u5224\u89c4\u5219\uff0c\u56e0\u6b64\u56e2\u961f<\/span>\u5728\u6587\u732e[8,12]\u4e2d<\/span>\u5efa\u7acb\u4e86\u96c6\u503c\u7cfb\u7edf\u7684Cramer-Rao\u4e0b\u754c\u6765\u523b\u753b\u96c6\u503c\u6570\u636e\u7684\u4fe1\u606f\u91cf\u3002\u901a\u8fc7\u5206\u6790Cramer-Rao\u4e0b\u754c\u7684\u7279\u6027\uff0c\u57fa\u4e8e\u81ea\u9002\u5e94\u6743\u91cd\u7684\u8bbe\u8ba1\u6784\u9020\u4e86\u96c6\u503c\u89c2\u6d4b\u4e0b\u7684\u57fa\u4e8e\u4fe1\u606f\u77e9\u9635\u7684\u62df\u725b\u987f\u578b\u52a0\u6743\u8fa8\u8bc6\u7b97\u6cd5\u3002\u5229\u7528\u65f6\u53d8\u6295\u5f71\u7684\u8bbe\u8ba1\u548c\u9ad8\u9636\u77e9\u201c\u52a0\u901f\u201d\u601d\u60f3\uff0c\u653b\u514b\u4e86\u4e0d\u53ef\u4ea4\u6362\u968f\u673a\u77e9\u9635\u4e58\u79ef\u548c\u6b65\u957f\u53c2\u6570\u4e0e\u4f30\u8ba1\u5b58\u5728\u5f3a\u8026\u5408\u7684\u5206\u6790\u96be\u70b9\uff0c\u5efa\u7acb\u4e86\u7b97\u6cd5\u7684\u6700\u4f18\u6536\u655b\u901f\u5ea6\u548c\u6e10\u8fd1\u6709\u6548\u6027\u3002<\/span><\/section>\n


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2.2 \u96c6\u503c\u7cfb\u7edf\u7684\u63a7\u5236<\/span><\/strong><\/span><\/h2>\n

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\u5728\u96c6\u503c\u7cfb\u7edf\u7684\u63a7\u5236\u65b9\u9762\uff0c \u4e3b\u8981\u6709\u9002\u5e94\u63a7\u5236[15-17]\u548c\u540c\u6b65\u63a7\u5236[18-21]\u8fd9\u4e24\u65b9\u9762\u7684\u7814\u7a76\u3002<\/span><\/section>\n

<\/h3>\n


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2.2.1 \u9002\u5e94\u63a7\u5236<\/span><\/strong><\/span><\/h3>\n

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\u96c6\u503c\u8f93\u51fa\u7cfb\u7edf\u7684\u9002\u5e94\u63a7\u5236\u95ee\u9898\u4e0e\u5355\u7eaf\u7684\u53c2\u6570\u8fa8\u8bc6\u548c\u53c2\u6570\u5df2\u77e5\u65f6\u7684\u9547\u5b9a\u63a7\u5236\u76f8\u6bd4\u8981\u56f0\u96be\u5f97\u591a\uff0c\u539f\u56e0\u4e4b\u4e00\u662f\u9002\u5e94\u63a7\u5236\u4e0e\u53c2\u6570\u8fa8\u8bc6\u7b97\u6cd5\u76f8\u4e92\u4f9d\u8d56\uff0c\u5df2\u6709\u6587\u732e\u4e2d\u5173\u4e8e\u96c6\u503c\u8f93\u51fa\u7cfb\u7edf\u7684\u8fa8\u8bc6\u7b97\u6cd5\u7684\u826f\u597d\u6027\u8d28\u662f\u4ee5\u5468\u671f\u8f93\u5165\u4e3a\u524d\u63d0\u7684\uff0c\u800c\u9002\u5e94\u63a7\u5236\u4e2d\u7684\u63a7\u5236\u5f8b\u662f\u6839\u636e\u63a7\u5236\u76ee\u6807\u548c\u53c2\u6570\u4f30\u8ba1\u503c\u800c\u786e\u5b9a\u7684\uff0c\u56e0\u6b64\uff0c\u4e00\u822c\u6765\u8bb2\u662f\u968f\u673a\u7684\u4e14\u4e0d\u5177\u5468\u671f\u6027\uff1b\u539f\u56e0\u4e4b\u4e8c\u662f\u9002\u5e94\u63a7\u5236\u4e0b\u95ed\u73af\u7cfb\u7edf\u66f4\u4e3a\u590d\u6742\uff0c\u8868\u73b0\u4e3a<\/span> (\u5373\u4f7f\u5bf9\u7b80\u5355\u7684\u7ebf\u6027\u5b9a\u5e38\u7cfb\u7edf) <\/span>\u95ed\u73af\u7cfb\u7edf\u7684\u9ad8\u5ea6\u975e\u7ebf\u6027\u548c\u8f93\u5165\u3001\u8f93\u51fa\u7684\u590d\u6742\u968f\u673a\u6027\uff0c \u8f93\u51fa\u7aef\u7684\u96c6\u503c\u4fe1\u606f\u548c\u4f30\u8ba1\u503c\u7684\u5173\u7cfb\u4e5f\u76f8\u5e94\u5730\u66f4\u4e3a\u590d\u6742\u3002<\/span><\/section>\n

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\u968f\u7740\u96c6\u503c\u7cfb\u7edf\u8fa8\u8bc6\u65b9\u9762\u7684\u7814\u7a76\u79ef\u7d2f\u548c\u6210\u679c\u7cfb\u7edf\u5316\uff0c\u96c6\u503c\u7cfb\u7edf\u9010\u6b65\u53d7\u5230\u56fd\u5185\u5916\u5b66\u8005\u7684\u5173\u6ce8\uff0c\u4ee3\u8868\u6027\u7684\u5de5\u4f5c\u6709: 1) \u6269\u5c55\u7684\u6781\u5927\u4f3c\u7136\u65b9\u6cd5\u89e3\u51b3\u96c6\u503c\u7cfb\u7edf\u7684\u8fa8\u8bc6\u95ee\u9898\uff0c \u63d0\u51fa\u4e86\u56fa\u5b9a\u6570\u636e\u957f\u5ea6\u4e0b\u7684\u65e0\u7a77\u6b65\u8fed\u4ee3\u7b97\u6cd5\uff1b2) \u91cf\u5316\u6ee4\u6ce2\u7b97\u6cd5\uff0c \u8be5\u65b9\u6cd5\u662f\u4ee5\u91cf\u5316\u8bef\u5dee\u670d\u4ece\u6b63\u6001\u5206\u5e03\u4e3a\u57fa\u7840\u7684\uff1b3) \u9c81\u68d2\u8fa8\u8bc6\u7684\u65b9\u6cd5\u7814\u7a76\u6709\u754c\u566a\u58f0\u4e0b\u7684\u53c2\u6570\u4f30\u8ba1\u95ee\u9898\u3002\u7136\u800c\u5df2\u6709\u9488\u5bf9\u96c6\u503c\u7cfb\u7edf\u65b9\u6cd5\u7531\u4e8e\u81ea\u8eab\u9650\u5236\u5747\u65e0\u6cd5\u505a\u5230\u9002\u5e94\u63a7\u5236\u3002<\/span><\/section>\n

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\u9488\u5bf9\u96c6\u503c\u7cfb\u7edf\u7684\u9002\u5e94\u63a7\u5236\uff0c\u4e00\u4e2a\u53ef\u80fd\u53ef\u884c\u7684\u601d\u8def\u662f\uff1a\u9996\u5148\u5c06\u5df2\u6709\u5de5\u4f5c\u4e2d\u7684\u5468\u671f\u8f93\u5165\u63a8\u5e7f\u4e3a\u4e00\u822c\u7684\u6301\u7eed\u6fc0\u52b1\u8f93\u5165\uff0c\u5728\u4e0d\u9650\u5236\u96c6\u503c\u4fe1\u606f\u4e0e\u53c2\u6570\u4f30\u8ba1\u503c\u7684\u76f8\u5173\u6027\u7684\u524d\u63d0\u4e0b\uff0c\u76f4\u63a5\u6784\u9020\u5728\u7ebf\u7684\u9762\u5411\u63a7\u5236\u7684\u8fa8\u8bc6\u7b97\u6cd5\uff0c \u7136\u540e\u4ee5\u8fd9\u4e9b\u7b97\u6cd5\u4e3a\u57fa\u7840\u53bb\u8bbe\u8ba1\u9002\u5e94\u63a7\u5236\u5668\uff0c\u8fdb\u800c\u501f\u9274\u4f20\u7edf\u7684\u81ea\u6821\u6b63\u8c03\u8282\u601d\u60f3\uff0c\u5b8c\u6210\u96c6\u503c\u8f93\u51fa\u7cfb\u7edf\u7684\u9002\u5e94\u63a7\u5236\u8bbe\u8ba1\u548c\u95ed\u73af\u7cfb\u7edf\u7684\u6027\u80fd\u5206\u6790\u3002<\/span><\/section>\n

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\u5bf9\u4e8e\u4e00\u822c\u7684\u96c6\u503c\u8f93\u51fa\u7cfb\u7edf\uff0c\u8bbe\u8ba1\u8fd9\u6837\u7684\u63a7\u5236\u5668\u662f\u975e\u5e38\u56f0\u96be\u7684\u3002\u4f5c\u4e3a\u8fd9\u65b9\u9762\u7684\u521d\u6b65\u6027\u5de5\u4f5c\uff0c\u73b0\u6709\u6587\u732e\u4ec5\u8003\u8651\u4e00\u7c7b\u5355\u53c2\u6570\u7684\u4e8c\u96c6\u503c\u8f93\u51fa\u7cfb\u7edf\u7684\u9002\u5e94\u8ddf\u8e2a\u63a7\u5236\u3002\u6211\u4eec\u7528\u4e00\u7c7b\u6295\u5f71\u9012\u63a8\u7b97\u6cd5\u8fa8\u8bc6\u7cfb\u7edf\u7684\u672a\u77e5\u53c2\u6570\uff0c\u7528\u53c2\u6570\u4f30\u8ba1\u548c\u63a7\u5236\u8f93\u5165\u6765\u8c03\u6574\u7cfb\u7edf\u8f93\u51fa\u7684\u9608\u503c\uff0c \u6839\u636e\u201c\u5fc5\u7136\u7b49\u4ef7\u539f\u5219\u201d\u6784\u9020\u9002\u5e94\u63a7\u5236\u5f8b\uff0c\u5728\u8f83\u4e00\u822c\u7684\u672a\u77e5\u53c2\u6570\u5148\u9a8c\u4fe1\u606f\u3001\u566a\u58f0\u7edf\u8ba1\u7279\u6027\u548c\u88ab\u8ddf\u8e2a\u4fe1\u53f7\u7b49\u6761\u4ef6\u4e0b\uff0c\u7ed9\u51fa\u4e86\u7b97\u6cd5\u7684\u6536\u655b\u6027\u548c\u6536\u655b\u901f\u5ea6\uff0c\u8bc1\u660e\u4e86\u95ed\u73af\u7cfb\u7edf\u7684\u7a33\u5b9a\u6027\u548c\u8ddf\u8e2a\u7684\u6e10\u8fd1\u6700\u4f18\u6027\u3002\u73b0\u6709\u6587\u732e\u5c06\u8be5\u65b9\u6cd5\u63a8\u5e7f\u5230\u4e00\u822c\u7ebf\u6027\u7cfb\u7edf\u4e2d\u3002<\/span><\/section>\n


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2.2.2 \u540c\u6b65\u63a7\u5236<\/span><\/strong><\/span><\/h3>\n

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\u591a\u4e2a\u4f53\u7684\u540c\u6b65\u63a7\u5236\u95ee\u9898\u8fd1\u5e74\u6765\u5f15\u8d77\u4e86\u5e7f\u6cdb\u7684\u5173\u6ce8\uff0c\u56e0\u4e3a\u5b83\u7684\u5e94\u7528\u8303\u56f4\u975e\u5e38\u5e7f\u6cdb\uff0c \u6bd4\u5982\u591a\u5904\u7406\u5668\u7684\u8d1f\u8f7d\u5e73\u8861\u3001\u79fb\u52a8\u8f66\u8f86\u7684\u534f\u540c\u63a7\u5236\uff0c\u4ee5\u53ca\u65e0\u4eba\u5730\u9762\u3001\u7a7a\u4e2d\u548c\u6c34\u4e0b\u7684\u4ea4\u901a\u5de5\u5177\u7684\u63a7\u5236\u3002\u540c\u6b65\u95ee\u9898\u65e8\u5728\u8bbe\u8ba1\u4e00\u79cd\u5206\u5e03\u5f0f\u534f\u8bae\uff0c\u4f7f\u6240\u6709\u4e2a\u4f53\u90fd\u6e10\u8fd1\u5730\u8fbe\u5230\u4e00\u4e2a\u5171\u540c\u7684\u72b6\u6001\uff0c \u8fd9\u5728\u5408\u4f5c\u63a7\u5236\u7684\u80cc\u666f\u4e0b\u662f\u975e\u5e38\u91cd\u8981\u7684\u3002<\/span><\/section>\n

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\u4fe1\u606f\u662f\u5c40\u90e8\u7684\u662f\u591a\u4e2a\u4f53\u7cfb\u7edf\u7684\u4e3b\u8981\u7279\u5f81\u4e4b\u4e00\uff0c\u6bcf\u4e2a\u4e2a\u4f53\u53ea\u80fd\u83b7\u53d6\u5176\u90bb\u5c45\u7684\u72b6\u6001\u4fe1\u606f\uff0c \u4f46\u7cbe\u786e\u72b6\u6001\u503c\u7684\u83b7\u53d6\u9700\u8981\u975e\u5e38\u9ad8\u8d28\u91cf\u7684\u7f51\u7edc\u901a\u4fe1\u80fd\u529b\uff0c\u800c\u5b9e\u9645\u901a\u4fe1\u8fc7\u7a0b\u4e2d\u5f80\u5f80\u5b58\u5728\u566a\u58f0\u548c\u5e26\u5bbd\u7684\u9650\u5236\u3002\u56e0\u6b64\uff0c\u5728\u7814\u7a76\u591a\u4e2a\u4f53\u540c\u6b65\u95ee\u9898\u65f6\uff0c\u6709\u5fc5\u8981\u8003\u8651\u9664\u4e86\u5c40\u90e8\u6027\u9650\u5236\u4ee5\u5916\u7684\u5176\u4ed6\u56e0\u7d20\uff0c\u5373\u566a\u58f0\u548c\u91cf\u5316\u3002<\/span><\/section>\n

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\u8003\u8651\u542b\u6709n\u4e2a\u4f53\u7684\u591a\u4e2a\u4f53\u7cfb\u7edf\uff0c\u4e3a\u4e86\u5b9e\u73b0\u540c\u6b65\uff0c\u6bcf\u4e2a\u4e2a\u4f53\u9700\u8981\u4e0e\u90bb\u5c45\u4e2a\u4f53\u4f20\u9012\u4fe1\u606f\uff0c \u4f46\u662f\u7531\u4e8e\u5e26\u5bbd\u7b49\u56e0\u7d20\u7684\u5f71\u54cd\uff0c\u90bb\u5c45\u4e2a\u4f53\u4e4b\u95f4\u53ea\u80fd\u4f20\u9012\u5982\u4e0b\u4e8c\u503c\u4fe1\u606f\u3002\u4e3a\u4e86\u5b9e\u73b0\u540c\u6b65\uff0c\u6bcf\u4e2a\u4e2a\u4f53\u90fd\u9700\u8981\u901a\u8fc7\u4f7f\u7528\u5176\u90bb\u5c45\u7684\u72b6\u6001\u6765\u8bbe\u8ba1\u540c\u6b65\u63a7\u5236\u3002\u4f46\u662f\u90bb\u5c45\u7684\u72b6\u6001\u662f\u672a\u77e5\u7684\uff0c\u6240\u4ee5\u6bcf\u4e2a\u4e2a\u4f53\u90fd\u9700\u8981\u4f30\u8ba1\u90bb\u5c45\u7684\u72b6\u6001\uff0c\u7136\u540e\u6839\u636e\u90bb\u5c45\u72b6\u6001\u7684\u4f30\u8ba1\u503c\u6765\u8bbe\u8ba1\u540c\u6b65\u63a7\u5236\u3002\u7531\u4e8e\u6bcf\u4e2a\u4e2a\u4f53\u53ea\u80fd\u83b7\u5f97\u90bb\u5c45\u7684\u4e8c\u503c\u4fe1\u606f\uff0c\u4e00\u79cd\u65b9\u6cd5\u662f\u6bcf\u4e2a\u4e2a\u4f53\u7b49\u5f85\u4e00\u6bb5\u65f6\u95f4\u6765\u6536\u96c6\u8db3\u591f\u7684\u4e8c\u503c\u4fe1\u606f\uff0c\u7136\u540e\u5229\u7528\u65e0\u622a\u65ad\u8fa8\u8bc6\u6cd5\u5bf9\u5176\u90bb\u5c45\u7684\u72b6\u6001\u8fdb\u884c\u4f30\u8ba1; \u53e6\u4e00\u79cd\u65b9\u6cd5\u662f\u5229\u7528\u9012\u63a8\u6295\u5f71\u8fa8\u8bc6\u6cd5\u5bf9\u90bb\u5c45\u8282\u70b9\u8fdb\u884c\u4f30\u8ba1\uff0c\u8be5\u7b97\u6cd5\u662f\u5728\u7ebf\u8fa8\u8bc6\u7b97\u6cd5\uff0c\u4f30\u8ba1\u5b9e\u65f6\u66f4\u65b0\uff0c\u4e2a\u4f53\u72b6\u6001\u4e0d\u9700\u8981\u4fdd\u6301\u4e00\u6bb5\u65f6\u95f4\u4e0d\u53d8\uff0c\u90a3\u4e48\u63a7\u5236\u4e5f\u5c31\u53ef\u4ee5\u8fdb\u884c\u5b9e\u65f6\u66f4\u65b0\u3002<\/span><\/section>\n

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1) \u4e8c\u65f6\u95f4\u5c3a\u5ea6\u540c\u6b65\u7b97\u6cd5: \u5728\u5c0f\u7684\u65f6\u95f4\u5c3a\u5ea6\u4e0a\uff0c\u6bcf\u4e2a\u4e2a\u4f53\u5148\u4f30\u8ba1\u5176\u90bb\u5c45\u7684\u72b6\u6001; \u5728\u5927\u7684\u65f6\u95f4\u5c3a\u5ea6<\/span> (\u4e00\u4e9b\u8df3\u8dc3\u7684\u65f6\u95f4\u70b9) <\/span>\u4e0a\uff0c\u4e2a\u4f53\u6839\u636e\u72b6\u6001\u7684\u4f30\u8ba1\u503c\u8bbe\u8ba1\u63a7\u5236\u7387\uff0c\u5728\u8be5\u63a7\u5236\u4e0b\u4e2a\u4f53\u7684\u72b6\u6001\u4f1a\u8fdb\u884c\u66f4\u65b0\u3002\u91cd\u590d\u4e0a\u8ff0\u4f30\u8ba1\u548c\u63a7\u5236\u8fc7\u7a0b\uff0c\u5c31\u5f62\u6210\u4e86\u4e8c\u65f6\u95f4\u5c3a\u5ea6\u540c\u6b65\u7b97\u6cd5\u3002\u4ece\u8fd9\u4e2a\u7b97\u6cd5\u7684\u7ed3\u6784\u53ef\u4ee5\u770b\u51fa\uff0c\u5f53\u65f6\u95f4\u589e\u5927\u5230\u4e00\u5b9a\u7a0b\u5ea6\u65f6\uff0c\u4e2a\u4f53\u7528\u4e8e\u4f30\u8ba1\u7684\u65f6\u95f4\u8d8a\u957f\uff0c\u4f30\u8ba1\u4f1a\u8d8a\u6765\u8d8a\u51c6\u3002\u4f46\u4e0e\u6b64\u540c\u65f6\uff0c\u5728\u4f30\u8ba1\u4e0a\u82b1\u8d39\u7684\u65f6\u95f4\u5c31\u8d8a\u591a\uff0c\u8fd9\u4f7f\u5f97\u4e2a\u4f53\u72b6\u6001\u7684\u66f4\u65b0\u901f\u5ea6\u4f1a\u5f88\u6162\uff0c\u53ef\u80fd\u4f1a\u5f71\u54cd\u7b97\u6cd5\u6574\u4f53\u4e0a\u7684\u6536\u655b\u901f\u5ea6\u3002<\/span><\/section>\n

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2) \u9012\u63a8\u6295\u5f71\u540c\u6b65\u7b97\u6cd5: \u8be5\u7b97\u6cd5\u5728\u5bf9\u90bb\u5c45\u8282\u70b9\u72b6\u6001\u8fdb\u884c\u4f30\u8ba1\u65f6\uff0c\u5229\u7528\u9012\u63a8\u6295\u5f71\u8fa8\u8bc6\u7b97\u6cd5\uff0c\u6bcf\u4e2a\u4e2a\u4f53\u53ef\u4ee5\u5b9e\u65f6\u5730\u4f30\u8ba1\u90bb\u5c45\u4e2a\u4f53\u7684\u72b6\u6001\uff0c\u7136\u540e\u5229\u7528\u5e73\u5747\u539f\u5219\uff0c\u7528\u4f30\u8ba1\u503c\u4ee3\u66ff\u90bb\u5c45\u72b6\u6001\u771f\u503c\uff0c\u5e76\u53d6\u589e\u76ca\u6b65\u957f 1 \/( t + 1) \u6765\uff0c\u5b9e\u65f6\u8bbe\u8ba1\u540c\u6b65\u63a7\u5236\u5f8b\u3002\u867d\u7136\u9012\u63a8\u6295\u5f71\u8fa8\u8bc6\u7b97\u6cd5\u662f\u5bf9\u56fa\u5b9a\u53c2\u6570\u4f30\u8ba1\u7684\u4e00\u79cd\u7b97\u6cd5\uff0c\u72b6\u6001\u5b9e\u65f6\u53d8\u5316\u65f6\u4f30\u8ba1\u6027\u8d28\u4e0d\u4e00\u5b9a\u5f88\u597d\uff0c\u4f46\u662f\u540c\u6b65\u63a7\u5236\u53ef\u4f7f\u5f97\u72b6\u6001\u8d8b\u4e8e\u4e00\u81f4\uff0c\u4e2a\u4f53\u7684\u72b6\u6001\u5728\u540e\u671f\u5c31\u4e0d\u4f1a\u6709\u592a\u5927\u53d8\u5316\uff0c\u8fd9\u6837\u9012\u63a8\u6295\u5f71\u8fa8\u8bc6\u7b97\u6cd5\u4f9d\u7136\u53ef\u4ee5\u5b9e\u73b0\u4e00\u4e2a\u597d\u7684\u4f30\u8ba1\u3002\u6700\u540e\uff0c\u901a\u8fc7\u4f30\u8ba1\u548c\u63a7\u5236\u7684\u5408\u4f5c\uff0c\u591a\u4e2a\u4f53\u7cfb\u7edf\u5c31\u53ef\u4ee5\u5b9e\u73b0\u540c\u6b65\u3002<\/span><\/section>\n

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\u5728\u7b97\u6cd5\u7684\u6536\u655b\u6027\u5206\u6790\u65f6\uff0c\u6211\u4eec\u5206\u522b\u5206\u6790\u4e86\u4f30\u8ba1\u548c\u72b6\u6001\u66f4\u65b0\u7684\u6027\u8d28\uff0c\u7136\u540e\u8054\u5408\u8003\u8651\u8fd9\u4e24\u8005\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u5173\u7cfb\uff0c\u6700\u540e\u8bc1\u660e\u4e86\u7b97\u6cd5\u7684\u6536\u655b\u6027\u548c\u6536\u655b\u901f\u5ea6\u3002\u540c\u65f6\uff0c\u4e5f\u5728\u7406\u8bba\u4e0a\u8bc1\u660e\u4e86\u9012\u63a8\u6295\u5f71\u540c\u6b65\u7b97\u6cd5\u76f8\u6bd4\u4e8c\u65f6\u95f4\u5c3a\u5ea6\u540c\u6b65\u7b97\u6cd5\u5177\u6709\u66f4\u5feb\u7684\u6536\u655b\u901f\u5ea6\u3002\u76ee\u524d\uff0c\u56e2\u961f\u5c06\u4e8b\u4ef6\u9a71\u52a8\u673a\u5236\u5f15\u5165\u63a7\u5236\u5668\u8bbe\u8ba1\u4e2d\u8fdb\u4e00\u6b65\u51cf\u5c11\u901a\u4fe1\u6210\u672c\u548c\u63a7\u5236\u6210\u672c\u3002<\/span><\/section>\n

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2.3 \u96c6\u503c\u7cfb\u7edf\u7684\u5e94\u7528<\/span><\/strong><\/span><\/h2>\n


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2.3.1 \u590d\u6742\u75be\u75c5\u5efa\u6a21[22-23]<\/span><\/strong><\/span><\/h3>\n

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\u590d\u6742\u75be\u75c5\u7cfb\u7edf\u5c31\u662f\u4e00\u7c7b\u5178\u578b\u7684\u96c6\u503c\u8f93\u51fa\u7cfb\u7edf\uff0c\u6837\u672c\u5c5e\u6027\u53ea\u662f\u201c\u75be\u75c5\u201d\u6216\u201c\u5065\u5eb7\u201d\uff0c\u6837\u672c\u7684\u89c2\u6d4b\u7ef4\u5ea6\u6781\u9ad8\uff0c\u800c\u4e14\u6837\u672c\u91cf\u76f8\u5bf9\u8f83\u5c11\u3002\u8981\u5efa\u7acb\u590d\u6742\u75be\u75c5\u7684\u6a21\u578b\uff0c\u4ece\u533b\u5b66\u7684\u89d2\u5ea6\u7814\u7a76\u4eba\u7c7b\u75be\u75c5\u4e0e\u9057\u4f20\u7684\u5173\u7cfb\uff0c\u6838\u5fc3\u95ee\u9898\u5728\u4e8e\u5982\u4f55\u5229\u7528\u6d77\u91cf\u9057\u4f20\u6570\u636e\u627e\u51fa\u5404\u79cd\u9057\u4f20\u6027\u75be\u75c5\u7684\u9057\u4f20\u89c4\u5f8b\u3001\u53d1\u75c5\u673a\u5236\u3001\u8bca\u65ad\u548c\u9632\u6cbb\u63aa\u65bd\u3002\u57fa\u56e0\u6d4b\u5e8f\u6280\u672f\u7684\u4e0d\u65ad\u53d1\u5c55\u4f7f\u5f97\u7814\u7a76\u8005\u53ef\u4ee5\u83b7\u5f97\u66f4\u5168\u9762\u66f4\u51c6\u786e\u7684\u9057\u4f20\u4fe1\u606f\uff0c\u6bd4\u5982\u73b0\u4e0b\u6d41\u884c\u7684\u5168\u57fa\u56e0\u7ec4\u5173\u8054\u5206\u6790<\/span> (GWAS)<\/span> \u80fd\u591f\u68c0\u6d4b\u6570\u4ee5\u767e\u4e07\u8ba1\u7684\u5355\u6838\u82f7\u9178\u591a\u6001\u6027<\/span> (SNPs) <\/span>\u4f5c\u4e3a\u5355\u4e2a\u6837\u672c\u7684\u9057\u4f20\u6807\u8bb0\u3002\u7136\u800c\uff0c\u9ad8\u6602\u7684\u6d4b\u5e8f\u6210\u672c\u6781\u5927\u5730\u9650\u5236\u4e86\u6d4b\u5e8f\u7684\u6837\u672c\u6570\u91cf\u3002\u6570\u4ee5\u5343\u8ba1\u7684\u6837\u672c\u6570\u91cf\u4e0e\u6570\u4ee5\u767e\u4e07\u8ba1\u7684\u89c2\u6d4b\u7ef4\u5ea6\u4f7f\u5f97\u8bb8\u591a\u4f20\u7edf\u65b9\u6cd5\u4e0d\u518d\u6709\u6548\u3002<\/span><\/section>\n

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\u5728\u590d\u6742\u75be\u75c5\u5efa\u6a21\u548c\u7edf\u8ba1\u9a8c\u8bc1\u65b9\u9762\uff0c\u6211\u4eec\u4e0e\u7f8e\u56fd\u5723\u6731\u8fea\u513f\u7ae5\u7814\u7a76\u533b\u9662\u5408\u4f5c\uff0c\u57fa\u4e8e\u5b9e\u9645\u6570\u636e\u6210\u529f\u5efa\u7acb\u4e86\u767d\u8840\u75c5\u7684\u96c6\u503c\u6a21\u578b\uff0c\u5e76\u6784\u9020\u4e86\u65b0\u7684\u3001\u66f4\u4e3a\u6709\u6548\u7684\u7edf\u8ba1\u9a8c\u8bc1\u65b9\u6cd5\u3002<\/span><\/section>\n

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2.3.2 \u96f7\u8fbe\u76ee\u6807\u8bc6\u522b[24]<\/span><\/strong><\/span><\/h3>\n

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\u96f7\u8fbe\u76ee\u6807\u8bc6\u522b\u662f\u519b\u4e8b\u9886\u57df\u7684\u4e00\u9879\u91cd\u8981\u4efb\u52a1\u3002\u4f34\u968f\u7740\u5f39\u9053\u5bfc\u5f39\u5236\u9020\u6280\u672f\u5728\u5168\u7403\u7684\u6269\u6563\uff0c\u51fa\u73b0\u4e86\u53cd\u5f39\u9053\u5bfc\u5f39\u7cfb\u7edf\uff0c\u4e3a\u4e86\u7a81\u7834\u53cd\u5bfc\u7cfb\u7edf\uff0c\u73b0\u4ee3\u5f39\u9053\u5bfc\u5f39\u90fd\u5177\u5907\u5148\u8fdb\u7684\u9632\u7a81\u8bbe\u65bd\uff0c \u5176\u4e2d\u4e00\u9879\u91cd\u8981\u7684\u63aa\u65bd\u5c31\u662f\u91ca\u653e\u591a\u79cd\u5f62\u5f0f\u7684\u8bf1\u9975\uff0c\u589e\u52a0\u53cd\u5bfc\u7cfb\u7edf\u7684\u62e6\u622a\u8d1f\u8377\u3002\u5f39\u9053\u5bfc\u5f39\u7ecf\u8fc7\u653b\u9632\u4e4b\u95f4\u4e0d\u65ad\u7684\u4ea4\u4e92\u7ade\u4e89\u8fc7\u7a0b\uff0c\u73b0\u9762\u4e34\u7684\u6838\u5fc3\u95ee\u9898\u5c31\u662f\u5982\u4f55\u4ece\u76ee\u6807\u7fa4\u4e2d\u8bc6\u522b\u51fa\u771f\u5f39\u5934\u3002\u5bf9\u4e8e\u96f7\u8fbe\u76ee\u6807\u8bc6\u522b\uff0c\u51fa\u4e8e\u6210\u672c\u4e0e\u5b89\u5168\u7684\u8003\u8651\uff0c\u4e0d\u53ef\u80fd\u901a\u8fc7\u5927\u91cf\u5b9e\u9645\u8bd5\u9a8c\u6765\u83b7\u53d6\u89c2\u6d4b\u6837\u672c\u3002\u4e3a\u4e86\u63d0\u9ad8\u8bc6\u522b\u7cbe\u5ea6\uff0c\u5982\u4f55\u5229\u7528\u597d\u5c0f\u6837\u672c\u83b7\u53d6\u5c3d\u53ef\u80fd\u7cbe\u786e\u7684\u4f30\u8ba1\u7ed3\u679c\u6210\u4e3a\u4e00\u9879\u91cd\u8981\u96be\u9898\u3002<\/span><\/section>\n

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\u56e2\u961f\u4e0e\u76f8\u5173\u5355\u4f4d\u5408\u4f5c\u5b8c\u6210\u4e86\u5bf9\u771f\u5047\u76ee\u6807\u7684\u96c6\u503c\u5efa\u6a21\u3002\u9996\u5148\u5bf9\u96f7\u8fbe\u6570\u636e\u8fdb\u884c\u9884\u5904\u7406\uff0c\u5c06\u5927\u901a\u91cf\u6570\u636e\u964d\u7ef4\u5f97\u5230\u4e00\u4e9b\u7279\u5f81\u4fe1\u606f\uff0c\u4f7f\u5f97\u8fd9\u4e9b\u7279\u5f81\u4fe1\u606f\u53ef\u4ee5\u5c3d\u53ef\u80fd\u591a\u4f53\u73b0\u76ee\u6807\u4e0e\u5176\u4ed6\u7269\u4f53\u7684\u5dee\u5f02; \u7136\u540e\u5229\u7528\u96c6\u503c\u8fa8\u8bc6\u7b49\u65b9\u6cd5\u5bf9\u76ee\u6807\u8fdb\u884c\u5206\u7c7b\u8bc6\u522b\u3002\u4e0e\u5df2\u6709\u65b9\u6cd5\u76f8\u6bd4\uff0c\u5f97\u5230\u4e86\u66f4\u9ad8\u7684\u8bc6\u522b\u7387\uff0c\u5c24\u5176\u662f\u5728\u4f4e\u4fe1\u566a\u6bd4\u65f6\uff0c\u8bc6\u522b\u7387\u63d0\u9ad8\u5f97\u66f4\u4e3a\u660e\u663e\uff0c\u53ef\u9ad8\u8fbe10%\u3002<\/span><\/section>\n

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2.3.3 \u65e0\u62d6\u66f3\u536b\u661f\u63a7\u5236[25]<\/span><\/strong><\/span><\/h3>\n

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[1] Wang L Y, Zhang J F, Yin G. System identification using binary sensors [J]. IEEE Transactions on Automatic Control, 2003, 48(11): 1892-1907<\/span><\/section>\n
[2] Wang L Y, Yin G. Zhang J F. Joint identification of plant rational models and noise distribution functions using binary-valued observations[J]. Automatica, 2006, 42(4): 535-547<\/span><\/section>\n
[3] Wang L Y, Yin G, Zhao Y L, et al. Identification input design for consistent parameter estimation of linear systems with binary-valued output observations [J]. IEEE Transactions on Automatic Control, 2008, 53(4): 867-880<\/span><\/section>\n
[4] Wang L Y, Yin G, Zhang J F, et al. Space and time complexities and sensor threshold selection in quantized identification [J]. Automatica, 2008, 44(12): 3014-3024<\/span><\/section>\n
[5] Zhao Y L, Wang L Y, Yin G, et al. Identification of Wiener systems with binary-valued output observations [J]. Automatica, 2007, 43(10): 1752-1765<\/span><\/section>\n
[6] Zhao Y L, Wang L Y, Yin G, et al. Identification of Hammerstein systems with quantized observations[J]. SIAM Journal on Control and Optimization, 2010, 48(7): 4352-4376<\/span><\/section>\n
[7] Guo J , Zhao Y L.  Recursive projection algorithm on FIR system identification with binary-valued observations, Automatica, 2013, 49(11): 3396-3401 <\/span><\/section>\n
[8] Zhang H, Wang T, Zhao Y L. Asymptotically efficient recursive identification of FIR systems with binary-valued observations[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems. 2021, 51(5): 2687-2700<\/span><\/section>\n
[9] Wang Y, Zhao Y L, Zhang J F, Guo J. A unified identification algorithm of FIR systems based on binary observations with time-varying thresholds, Automatica. 2020, 135: 109990<\/span><\/section>\n
[10] Zhang L T, Zhao Y L, Guo L. Identification and adaptation with binary-valued observations under non-persistent excitation condition[J]. Automatica, 2022, 138: 110158<\/span><\/section>\n
[11] Wang T, Li X, Guo J, Zhao Y L. Identification of ARMA models with binary-valued observations, Automatica,2023, 149: 110832<\/span><\/section>\n
[12] Wang Y, Zhao Y L, Zhang J F. Asymptotically efficient quasi-newton type identification with quantized observations under bounded persistent excitations[J]. Automatica, 2024, 166: 111722<\/span><\/section>\n
[13] Ke J M, Wang Y, Zhao Y L, Zhang J F. Recursive identification of binary-valued systems under uniform persistent excitations[J]. IEEE Trans. on Automatic Control, DOI: 10.1109\/TAC.2024.3399968, 2024<\/span><\/section>\n
[14] Ke J M, Zhao Y L, Zhang J F. Joint identification of system parameter and noise parameters in quantized systems[J]. Systems & Control Letters, 2024, 193: 105941<\/span><\/section>\n
[15] Guo J, Zhang J F, Zhao Y L. Adaptive tracking control of a class of first-order systems with binary-valued observations and time-varying thresholds[J]. IEEE Transactions on Automatic Control, 2011, 56(12): 2991-2996<\/span><\/section>\n
[16] Zhao Y L, Guo J, Zhang J F. Adaptive tracking control of linear systems with binary-valued observations and periodic target[J]. IEEE Transactions on Automatic Control. 2013, 58(5): 1293-1298<\/span><\/section>\n
[17] Wang T, Hu M and Zhao Y L. Adaptive tracking control of FIR systems under binary-valued observations and recursive projection identification[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems. 2021, 51(9): 5289-5299<\/span><\/section>\n
[18] Zhao Y L, Wang T, Bi W J. Consensus protocol for multi-agent systems with undirected topologies and binary-valued communications[J]. IEEE Transactions on Automatic Control, 2019, 64(1): 206-221<\/span><\/section>\n
[19] Wang T, Zhang H, Zhao Y L. Consensus of multi-agent systems under binary-valued measurements and recursive projection algorithm[J]. IEEE Transactions on Automatic Control[J]. 2020, 65(6): 2678-2685<\/span><\/section>\n
[20] Hu M, Wang T, Zhao Y L. Consensus of switched multi-agent systems with binary-valued communications[J]. Science China Information Sciences. 2022, 65: 162207<\/span><\/section>\n
[21]Lu X D, Wang T, Zhao Y L. Event-Triggered control for consensus of multiagent systems with binary-valued measurements[J]. IEEE Transactions on Automatic Control. 2024, 69(7): 4630-4642<\/span><\/section>\n
[22] Kang G L, Bi W J, Zhang H, Zhao Y L, et al. A robust and powerful set-valued approach to rare variant association analyses of secondary traits in case-control sequencing studies[J]. Genetics. 2016, 205(3)<\/span><\/section>\n
[23] Zhang H, Bi W J, Cui Y H, Chen H L, Chen J B, Zhao Y L, Kang G L. Extreme-value sampling design is cost-beneficial only with a valid statistical approach for exposure-secondary outcome association analyses[J]. Statistical Methods in Medical Research. 2020, 29(2): 466-480<\/span><\/section>\n
[24] Wang T, Bi W J, Zhao Y L, Xue W C. Radar target recognition algorithm based on RCS observation sequence\u2014Set-valued identification method[J].  Journal of Systems Science and Complexity. 2016, 29(3): 1-16<\/span><\/section>\n
[25] Tan S P, Guo J, Zhao Y L, Zhang J F. Adaptive control with saturation-constrainted observations for drag-free satellites — a set-valued identification approach[j]. Science China Information Sciences, 2021, 64: 202202<\/span><\/section>\n

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1. <\/strong>\u767e\u79d1\uff1a\u81ea\u9002\u5e94\u63a7\u5236\u6982\u8ff0\uff5c\u300a\u7cfb\u7edf\u4e0e\u63a7\u5236\u767e\u79d1\u5168\u4e66\u300b<\/a><\/strong><\/span><\/strong><\/section>\n
2. <\/strong>\u90ed\u96f7\u9662\u58eb\uff1a\u7cfb\u7edf\u63a7\u5236\u4e4b\u7f8e\uff5c\u300a\u63a7\u5236\u7406\u8bba\u524d\u6cbf\u7406\u8bba\u4e0e\u65b9\u6cd5\u300b\u7b2c\u4e00\u8bfe<\/a><\/strong><\/span><\/strong><\/section>\n
3. <\/strong>\u63a7\u5236\u8bba\u4e66\u7c4d\u63a8\u8350\uff1a\u300a\u65f6\u53d8\u968f\u673a\u7cfb\u7edf\u300b\u4e0e\u300a\u63a7\u5236\u7406\u8bba\u5bfc\u8bba\u300b<\/a><\/strong><\/span><\/section>\n
4. <\/strong><\/span>\u5f20\u6c5f\uff1a\u7b2c\u4e09\u4ee3\u4eba\u5de5\u667a\u80fd\u6280\u672f\u57fa\u7840\u2014\u2014\u4ece\u53ef\u5fae\u5206\u7f16\u7a0b\u5230\u56e0\u679c\u63a8\u7406 | \u96c6\u667a\u5b66\u56ed\u5168\u65b0\u8bfe\u7a0b<\/a><\/strong><\/strong><\/span><\/section>\n
<\/strong>5. <\/strong>11.11\u4e00\u5e74\u4e00\u6b21\u9650\u65f6\u7279\u60e0\uff01\u52a0\u5165\u96c6\u667a\u5b66\u56edVIP\uff0c\u4e00\u6b21\u6027\u89e3\u9501\u96c6\u667a\u5e73\u53f0\u6240\u6709\u5185\u5bb9\u8d44\u6e90<\/a><\/strong><\/strong><\/span><\/section>\n
6. <\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/section>\n


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