{"id":91124,"date":"2024-04-12T12:00:58","date_gmt":"2024-04-12T04:00:58","guid":{"rendered":"https:\/\/www.techphant.cn\/?p=91124"},"modified":"2024-04-12T12:01:02","modified_gmt":"2024-04-12T04:01:02","slug":"xdbmdjbgn","status":"publish","type":"post","link":"https:\/\/www.techphant.cn\/blog\/91124.html","title":{"rendered":"\u4fe1\u9053\u7f16\u7801\u7684\u57fa\u672c\u6982\u5ff5"},"content":{"rendered":"\n

\u3000\u3000\u4fe1\u9053\u7f16\u7801\u662f\u901a\u4fe1\u7cfb\u7edf\u4e2d\u7528\u4e8e\u63d0\u9ad8\u4fe1\u9053\u53ef\u9760\u6027\u7684\u7406\u8bba\u548c\u65b9\u6cd5\uff0c\u5c5e\u4e8e\u4fe1\u606f\u8bba\u7684\u5185\u5bb9\u4e4b\u4e00\u3002<\/strong>\u5176\u57fa\u672c\u505a\u6cd5\u662f\u5728\u53d1\u9001\u7aef\u7ed9\u88ab\u4f20\u8f93\u7684\u4fe1\u606f\u5e8f\u5217\u9644\u52a0\u4e0a\u4e00\u5b9a\u7684\u76d1\u7763\u7801\u5143\uff0c\u8fd9\u4e9b\u76d1\u7763\u7801\u5143\u4e0e\u4fe1\u606f\u7801\u5143\u4e4b\u95f4\u5b58\u5728\u67d0\u79cd\u786e\u5b9a\u7684\u5173\u8fde\u89c4\u5219(\u7ea6\u675f\u5173\u7cfb)\u3002\u63a5\u6536\u7aef\u5219\u6839\u636e\u8fd9\u79cd\u65e2\u5b9a\u7684\u89c4\u5219\u68c0\u9a8c\u4fe1\u606f\u7801\u5143\u4e0e\u76d1\u7763\u7801\u5143\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4e00\u65e6\u4f20\u8f93\u4e2d\u53d1\u751f\u9519\u8bef\uff0c\u4fe1\u606f\u7801\u5143\u548c\u76d1\u7763\u7801\u5143\u4e4b\u95f4\u7684\u5173\u7cfb\u5c06\u53d7\u5230\u7834\u574f\uff0c\u4ece\u800c\u53ef\u4ee5\u53d1\u73b0\u9519\u8bef\u751a\u81f3\u7ea0\u6b63\u9519\u8bef\u3002\u4fe1\u9053\u7f16\u7801\u7684\u76ee\u7684\u5305\u62ec\u6297\u5e72\u6270\u3001\u7ea0\u9519\u548c\u68c0\u9519\u7b49\uff0c\u65e8\u5728\u4fdd\u8bc1\u4fe1\u606f\u7684\u51c6\u786e\u6027\uff0c\u5176\u4e2d\u8bef\u7801\u7387\u548c\u8bef\u6bd4\u7279\u7387\u662f\u8861\u91cf\u4fe1\u9053\u7f16\u7801\u6027\u80fd\u7684\u660e\u663e\u6307\u6807\u3002<\/p>\n\n\n\n

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\u3000\u3000\u4fe1\u9053\u7f16\u7801\u7684\u57fa\u672c\u6982\u5ff5\u6d89\u53ca\u901a\u8fc7\u5728\u53d1\u9001\u7aef\u6dfb\u52a0\u76d1\u7763\u7801\u5143\u6765\u63d0\u9ad8\u4fe1\u9053\u7684\u53ef\u9760\u6027\uff0c\u5176\u76ee\u7684\u662f\u4e3a\u4e86\u6297\u5e72\u6270\u3001\u7ea0\u9519\u548c\u68c0\u9519\uff0c\u786e\u4fdd\u4fe1\u606f\u7684\u51c6\u786e\u4f20\u8f93\u3002\u4fe1\u9053\u7f16\u7801\u7684\u7814\u7a76\u4e0d\u4ec5\u5305\u62ec\u7406\u8bba\u4e0a\u7684\u63a2\u8ba8\uff0c\u4e5f\u5305\u62ec\u5177\u4f53\u7684\u7f16\u7801\u65b9\u6cd5\u7684\u8bbe\u8ba1\u548c\u6027\u80fd\u5206\u6790\u3002<\/p>\n\n\n\n

\u3000\u3000\u4e00\u3001 \u4fe1\u9053\u7f16\u7801\u7684\u5386\u53f2\u53d1\u5c55\u548c\u5173\u952e\u4eba\u7269\u6709\u54ea\u4e9b?<\/h2>\n\n\n\n

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\u3000\u3000\u968f\u7740\u6280\u672f\u7684\u53d1\u5c55\uff0c\u4fe1\u9053\u7f16\u7801\u6280\u672f\u4e0d\u65ad\u903c\u8fd1\u9999\u519c\u6781\u9650\uff0c\u63a8\u52a8\u7740\u4eba\u7c7b\u901a\u4fe1\u6280\u672f\u8fc8\u8fc7\u4e00\u4e2a\u53c8\u4e00\u4e2a\u9876\u5cf0\u3002\u8fd1\u5e74\u6765\uff0c5G\u4fe1\u9053\u7f16\u7801\u6280\u672f\u53d6\u5f97\u4e86\u663e\u8457\u7684\u7a81\u7834\uff0c\u7279\u522b\u662f\u5728\u6781\u5316\u7801(Polar Code)\u6280\u672f\u4e0a\u3002\u6b64\u5916\uff0cLDPC\u7801\u4e5f\u5728\u901a\u4fe1\u7cfb\u7edf\u4e2d\u5f97\u5230\u4e86\u5e7f\u6cdb\u5e94\u7528\uff0c\u6210\u4e3a\u73b0\u4ee3\u901a\u4fe1\u7cfb\u7edf\u4e2d\u7684\u5173\u952e\u6280\u672f\u4e4b\u4e00\u3002<\/p>\n\n\n\n

\u3000\u3000\u4fe1\u9053\u7f16\u7801\u7684\u5386\u53f2\u53d1\u5c55\u7ecf\u5386\u4e86\u4ece\u6c49\u660e\u7801\u5230Golay\u7801\uff0c\u518d\u52305G\u65f6\u4ee3\u6781\u5316\u7801\u548cLDPC\u7801\u7684\u53d1\u5c55\u8fc7\u7a0b\u3002\u5728\u8fd9\u4e2a\u8fc7\u7a0b\u4e2d\uff0cR.Hamming\u3001M.Golay\u7b49\u5173\u952e\u4eba\u7269\u5bf9\u4fe1\u9053\u7f16\u7801\u6280\u672f\u7684\u53d1\u5c55\u505a\u51fa\u4e86\u91cd\u8981\u8d21\u732e\u3002<\/p>\n\n\n\n

\u3000\u3000\u4e8c\u3001 \u4fe1\u9053\u5bb9\u91cf\u7684\u8ba1\u7b97\u65b9\u6cd5\u548c\u5b9e\u9645\u5e94\u7528\u6848\u4f8b\u662f\u4ec0\u4e48?<\/h2>\n\n\n\n

\u3000\u3000\u6b64\u5916\uff0c\u8fd8\u6709\u5176\u4ed6\u65b9\u6cd5\u5982\u7ecf\u9a8c\u516c\u5f0f\u6cd5\u548c\u8499\u7279\u5361\u6d1b\u6cd5\u7528\u4e8e\u8ba1\u7b97\u4fe1\u9053\u5bb9\u91cf\uff0c\u8fd9\u4e9b\u65b9\u6cd5\u8003\u8651\u4e86\u4fe1\u9053\u7279\u6027\u5982\u4fe1\u9053\u566a\u58f0\u6c34\u5e73\u3001\u4fe1\u53f7\u7c7b\u578b\u3001\u4fe1\u53f7\u5f3a\u5ea6\u7b49\u56e0\u7d20\u3002<\/p>\n\n\n\n

\u3000\u3000\u5b9e\u9645\u5e94\u7528\u6848\u4f8b\u4e2d\uff0c\u901a\u8fc7\u5177\u4f53\u7684\u5b9e\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u8ba1\u7b97\u4fe1\u9053\u5bb9\u91cf\uff0c\u5e76\u63a2\u8ba8\u4e86\u5b83\u5728\u5b9e\u9645\u901a\u4fe1\u7cfb\u7edf\u8bbe\u8ba1\u548c\u7f51\u7edc\u5e26\u5bbd\u7ba1\u7406\u4e2d\u7684\u5e94\u7528\u3002\u4f8b\u5982\uff0c\u5728matlab\u4e2d\u6a21\u62df\u4e00\u6761\u9999\u519c\u4fe1\u9053\uff0c\u901a\u8fc7\u5bf9\u8be5\u4fe1\u9053\u7684\u5e26\u5bbd\u548c\u4fe1\u566a\u6bd4\u8fdb\u884c\u8c03\u6574\uff0c\u6765\u8ba1\u7b97\u51fa\u8be5\u4fe1\u9053\u7684\u4fe1\u9053\u5bb9\u91cf\uff0c\u8fd9\u6709\u52a9\u4e8e\u7406\u89e3\u4fe1\u9053\u5bb9\u91cf\u7684\u6982\u5ff5\u5e76\u6307\u5bfc\u5b9e\u9645\u901a\u4fe1\u7cfb\u7edf\u7684\u8bbe\u8ba1\u3002\u6b64\u5916\uff0c\u4fe1\u606f\u8bba\u4fe1\u9053\u5bb9\u91cf\u7684\u6982\u5ff5\u5728\u4fe1\u606f\u4f20\u8f93\u4e2d\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\uff0c\u9700\u8981\u8003\u8651\u4fe1\u9053\u5e26\u5bbd\u3001\u4fe1\u566a\u6bd4\u548c\u566a\u58f0\u7b49\u56e0\u7d20\u3002<\/p>\n\n\n\n

\u3000\u3000\u4fe1\u9053\u5bb9\u91cf\u7684\u8ba1\u7b97\u4e3b\u8981\u4f9d\u8d56\u4e8e\u9999\u519c\u516c\u5f0f\uff0c\u540c\u65f6\u4e5f\u5b58\u5728\u5176\u4ed6\u8ba1\u7b97\u65b9\u6cd5\u5982\u7ecf\u9a8c\u516c\u5f0f\u6cd5\u548c\u8499\u7279\u5361\u6d1b\u6cd5\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u901a\u8fc7\u6a21\u62df\u548c\u5b9e\u4f8b\u5206\u6790\uff0c\u53ef\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u548c\u5e94\u7528\u4fe1\u9053\u5bb9\u91cf\u7684\u6982\u5ff5\uff0c\u4ee5\u4f18\u5316\u901a\u4fe1\u7cfb\u7edf\u8bbe\u8ba1\u548c\u7f51\u7edc\u5e26\u5bbd\u7ba1\u7406\u3002<\/p>\n\n\n\n

\u3000\u3000\u4e09\u3001 \u6700\u5927\u4f3c\u7136\u89e3\u7801\u5728\u4fe1\u9053\u7f16\u7801\u4e2d\u7684\u5177\u4f53\u5e94\u7528\u548c\u6548\u679c\u5982\u4f55?<\/h2>\n\n\n\n

\u3000\u3000\u6700\u5927\u4f3c\u7136\u89e3\u7801\u5728\u4fe1\u9053\u7f16\u7801\u4e2d\u7684\u5177\u4f53\u5e94\u7528\u4e3b\u8981\u4f53\u73b0\u5728\u5176\u4f5c\u4e3a\u4e00\u79cd\u9ad8\u6548\u7684\u8bd1\u7801\u7b97\u6cd5\uff0c\u7528\u4e8e\u63d0\u9ad8\u901a\u4fe1\u7cfb\u7edf\u4e2d\u4fe1\u606f\u4f20\u8f93\u7684\u53ef\u9760\u6027\u548c\u6548\u7387\u3002\u6211\u4eec\u53ef\u4ee5\u603b\u7ed3\u51fa\u4ee5\u4e0b\u51e0\u70b9\uff1a<\/p>\n\n\n\n

    \n
  • \u3000\u3000\u7b97\u6cd5\u539f\u7406\u548c\u5e94\u7528\uff1a\u6700\u5927\u4f3c\u7136\u89e3\u7801\u662f\u57fa\u4e8e\u6700\u5927\u4f3c\u7136\u8bd1\u7801\u51c6\u5219\uff0c\u901a\u8fc7\u8ba1\u7b97\u6240\u6709\u53ef\u80fd\u7684\u7801\u5b57\u5bf9\u5e94\u7684\u63a5\u6536\u4fe1\u606f\u7684\u6982\u7387\u503c\uff0c\u5e76\u9009\u62e9\u6982\u7387\u6700\u5927\u7684\u7801\u5b57\u4f5c\u4e3a\u89e3\u7801\u7ed3\u679c\u3002\u8fd9\u79cd\u65b9\u6cd5\u4e0d\u4ec5\u9002\u7528\u4e8e\u7ebf\u6027\u5206\u7ec4\u7801\uff0c\u8fd8\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5377\u79ef\u7801\u7684\u89e3\u7801\u4e2d\uff0c\u5982Viterbi\u7b97\u6cd5\u5c31\u662f\u4e00\u79cd\u5b9e\u7528\u5316\u7684\u6700\u5927\u4f3c\u7136\u8bd1\u7801\u7b97\u6cd5\u3002<\/li>\n\n\n\n
  • \u3000\u3000\u6027\u80fd\u8868\u73b0\uff1a\u6700\u5927\u4f3c\u7136\u89e3\u7801\u80fd\u591f\u6709\u6548\u63d0\u9ad8\u4fe1\u9053\u7f16\u7801\u7684\u6027\u80fd\u3002\u4f8b\u5982\uff0cTurbo\u7801\u901a\u8fc7\u8f6f\u8f93\u51fa\u8fed\u4ee3\u8bd1\u7801\u903c\u8fd1\u6700\u5927\u4f3c\u7136\u8bd1\u7801\uff0c\u5145\u5206\u5229\u7528\u4e86Shannon\u4fe1\u9053\u7f16\u7801\u5b9a\u7406\u7684\u57fa\u672c\u6761\u4ef6\uff0c\u4ece\u800c\u5f97\u5230\u4e86\u63a5\u8fd1Shannon\u6781\u9650\u7684\u6027\u80fd\u3002\u8fd9\u8868\u660e\u6700\u5927\u4f3c\u7136\u89e3\u7801\u80fd\u591f\u5728\u4fdd\u8bc1\u9ad8\u53ef\u9760\u6027\u7684\u540c\u65f6\uff0c\u5c3d\u53ef\u80fd\u5730\u63a5\u8fd1\u7406\u8bba\u4e0a\u7684\u6700\u4f73\u6027\u80fd\u3002<\/li>\n\n\n\n
  • \u3000\u3000\u5b9e\u9645\u5e94\u7528\uff1a\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6700\u5927\u4f3c\u7136\u89e3\u7801\u4e0d\u4ec5\u7528\u4e8e\u4f20\u7edf\u7684\u4fe1\u9053\u7f16\u7801\u65b9\u6848\uff0c\u5982\u5377\u79ef\u7801\u548c\u7ebf\u6027\u5206\u7ec4\u7801\uff0c\u8fd8\u88ab\u5e94\u7528\u4e8e\u4fe1\u9053\u7f16\u7801\u76f2\u8bc6\u522b\u7b97\u6cd5\u4e2d\uff0c\u4ee5\u89e3\u51b3\u76f2\u8bd1\u7801\u8fc7\u7a0b\u5ef6\u65f6\u9ad8\u7684\u95ee\u9898\u3002\u8fd9\u79cd\u7b97\u6cd5\u901a\u8fc7\u5c06\u4fe1\u9053\u8bd1\u7801\u548c\u4fe1\u9053\u7f16\u7801\u8bc6\u522b\u76f8\u7ed3\u5408\uff0c\u63d0\u9ad8\u4e86\u4fe1\u9053\u7f16\u7801\u7684\u8bc6\u522b\u901f\u5ea6\u548c\u51c6\u786e\u6027\u3002<\/li>\n\n\n\n
  • \u3000\u3000\u6280\u672f\u53d1\u5c55\uff1a\u968f\u7740\u6280\u672f\u7684\u53d1\u5c55\uff0c\u6700\u5927\u4f3c\u7136\u89e3\u7801\u7684\u5e94\u7528\u4e5f\u5728\u4e0d\u65ad\u6269\u5c55\u3002\u4f8b\u5982\uff0cViterbi\u7b97\u6cd5\u7684\u63d0\u51fa\u6807\u5fd7\u7740\u968f\u673a\u4fe1\u9053\u7f16\u7801\u4e0e\u8fed\u4ee3\u89e3\u7801\u6210\u4e3a\u4e3b\u6d41\u7684\u7f16\u7801\u601d\u8def\u3002\u8fd9\u8868\u660e\u6700\u5927\u4f3c\u7136\u89e3\u7801\u4e0d\u4ec5\u662f\u5f53\u524d\u901a\u4fe1\u7cfb\u7edf\u4e2d\u7684\u91cd\u8981\u7ec4\u6210\u90e8\u5206\uff0c\u800c\u4e14\u5728\u672a\u6765\u7684\u6280\u672f\u53d1\u5c55\u4e2d\u4ecd\u5c06\u6301\u7eed\u53d1\u6325\u91cd\u8981\u4f5c\u7528\u3002<\/li>\n<\/ul>\n\n\n\n

    \u3000\u3000\u6700\u5927\u4f3c\u7136\u89e3\u7801\u5728\u4fe1\u9053\u7f16\u7801\u4e2d\u7684\u5e94\u7528\u8868\u73b0\u51fa\u4e86\u9ad8\u6548\u7684\u8bd1\u7801\u80fd\u529b\u3001\u4f18\u5f02\u7684\u6027\u80fd\u4ee5\u53ca\u5e7f\u6cdb\u7684\u5b9e\u9645\u5e94\u7528\u573a\u666f\u3002\u901a\u8fc7\u4e0d\u65ad\u7684\u6280\u672f\u521b\u65b0\u548c\u4f18\u5316\uff0c\u6700\u5927\u4f3c\u7136\u89e3\u7801\u6709\u671b\u8fdb\u4e00\u6b65\u63d0\u5347\u901a\u4fe1\u7cfb\u7edf\u7684\u6574\u4f53\u6027\u80fd\u548c\u53ef\u9760\u6027\u3002<\/p>\n\n\n\n

    \u3000\u3000\u56db\u3001 \u9999\u519c\u4fe1\u9053\u5bb9\u91cf\u7406\u8bba\u5bf9\u73b0\u4ee3\u901a\u4fe1\u6280\u672f\u7684\u5f71\u54cd\u6709\u54ea\u4e9b?<\/h2>\n\n\n\n

    \u3000\u3000\u9999\u519c\u4fe1\u9053\u5bb9\u91cf\u7406\u8bba\u5bf9\u73b0\u4ee3\u901a\u4fe1\u6280\u672f\u7684\u5f71\u54cd\u4e3b\u8981\u4f53\u73b0\u5728\u4ee5\u4e0b\u51e0\u4e2a\u65b9\u9762\uff1a<\/p>\n\n\n\n

      \n
    • \u3000\u3000\u7406\u8bba\u57fa\u7840\u7684\u786e\u7acb\uff1a\u9999\u519c\u5b9a\u7406\u88ab\u5949\u4e3a\u73b0\u4ee3\u901a\u4fe1\u7684”\u91d1\u79d1\u7389\u5f8b”\uff0c\u4e3a\u4fe1\u606f\u901a\u4fe1\u9886\u57df\u63d0\u4f9b\u4e86\u7406\u8bba\u57fa\u7840\uff0c\u4f7f\u5f97\u4fe1\u606f\u4ea7\u4e1a\u5f97\u4ee5\u9ad8\u901f\u53d1\u5c55\u3002\u8fd9\u4e00\u7406\u8bba\u4e0d\u4ec5\u5b9a\u4e49\u4e86\u901a\u4fe1\u4fe1\u9053\u5bb9\u91cf\u7684\u7406\u8bba\u6781\u9650\u503c\uff0c\u8fd8\u660e\u786e\u4e86\u4fe1\u9053\u4e2d\u7684\u6781\u9650\u4fe1\u606f\u4f20\u8f93\u7387\u548c\u4fe1\u9053\u80fd\u529b\uff0c\u4e3a\u540e\u7eed\u7684\u7814\u7a76\u548c\u6280\u672f\u53d1\u5c55\u5960\u5b9a\u4e86\u57fa\u7840\u3002<\/li>\n\n\n\n
    • \u3000\u3000\u6280\u672f\u8fdb\u6b65\u7684\u63a8\u52a8\uff1a\u9999\u519c\u5b9a\u7406\u7684\u63d0\u51fa\u4fc3\u4f7f\u8c03\u5236\u6280\u672f\u548c\u5143\u5668\u4ef6\u7684\u6301\u7eed\u6539\u8fdb\uff0c\u4ee5\u53ca\u7ea0\u9519\u7801\u7684\u8fdb\u6b65\uff0c\u4f7f\u4fe1\u9053\u5bb9\u91cf\u66f4\u52a0\u63a5\u8fd1\u7406\u8bba\u8bbe\u5b9a\u7684\u57fa\u7840\u6781\u9650\u3002\u8fd9\u4e9b\u6280\u672f\u7684\u8fdb\u6b65\u76f4\u63a5\u63a8\u52a8\u4e86\u901a\u4fe1\u6280\u672f\u7684\u53d1\u5c55\uff0c\u63d0\u9ad8\u4e86\u901a\u4fe1\u6548\u7387\u548c\u8d28\u91cf\u3002<\/li>\n\n\n\n
    • \u3000\u3000\u65b0\u578b\u4f20\u8f93\u65b9\u6cd5\u7684\u5174\u8d77\uff1a\u968f\u7740\u9999\u519c\u5b9a\u7406\u7684\u5e94\u7528\uff0c\u65b0\u578b\u4f20\u8f93\u65b9\u6cd5\u5982MIMO(\u591a\u8def\u8f93\u5165\u591a\u8def\u8f93\u51fa)\u5f97\u5230\u4e86\u53d1\u5c55\u548c\u5e94\u7528\uff0c\u663e\u8457\u6539\u5584\u4e86\u4fe1\u9053\u7684\u5bb9\u91cf\u548c\u6548\u7387\u3002\u8fd9\u4e9b\u65b0\u6280\u672f\u7684\u5e94\u7528\u6781\u5927\u5730\u6269\u5c55\u4e86\u901a\u4fe1\u7cfb\u7edf\u7684\u6027\u80fd\uff0c\u4f7f\u5f97\u5728\u6709\u9650\u7684\u8d44\u6e90\u4e0b\u5b9e\u73b0\u66f4\u9ad8\u7684\u6570\u636e\u4f20\u8f93\u901f\u7387\u6210\u4e3a\u53ef\u80fd\u3002<\/li>\n\n\n\n
    • \u3000\u3000\u9ad8\u6548\u9891\u8c31\u5229\u7528\u6280\u672f\u7684\u7814\u7a76\uff1a\u9999\u519c\u5b9a\u7406\u5e2e\u52a9\u6211\u4eec\u7406\u89e3\u65e0\u7ebf\u4fe1\u9053\u7684\u5bb9\u91cf\u9650\u5236\uff0c\u6fc0\u53d1\u4e86\u5bf9\u9ad8\u6548\u9891\u8c31\u5229\u7528\u6280\u672f\u7684\u7814\u7a76\u3002\u8fd9\u5305\u62ec\u4f46\u4e0d\u9650\u4e8e\u9891\u8c31\u611f\u77e5\u3001\u52a8\u6001\u9891\u8c31\u5171\u4eab\u7b49\u6280\u672f\uff0c\u65e8\u5728\u66f4\u6709\u6548\u5730\u5229\u7528\u73b0\u6709\u9891\u8c31\u8d44\u6e90\uff0c\u63d0\u9ad8\u9891\u8c31\u4f7f\u7528\u6548\u7387\u3002<\/li>\n\n\n\n
    • \u3000\u3000\u901a\u4fe1\u7406\u8bba\u7684\u53d1\u5c55\uff1a\u9999\u519c\u5b9a\u7406\u4e0d\u4ec5\u662f\u901a\u4fe1\u6280\u672f\u53d1\u5c55\u7684\u57fa\u77f3\uff0c\u4e5f\u4fc3\u8fdb\u4e86\u901a\u4fe1\u7406\u8bba\u7684\u8fdb\u4e00\u6b65\u53d1\u5c55\u3002\u968f\u7740\u901a\u4fe1\u6280\u672f\u7684\u98de\u901f\u53d1\u5c55\uff0c\u5f53\u524d\u4fe1\u9053\u5bb9\u91cf\u5df2\u7ecf\u903c\u8fd1”\u9999\u519c\u6781\u9650”\uff0c\u8fd9\u4fc3\u4f7f\u7814\u7a76\u8005\u63a2\u7d22\u65b0\u7684\u7406\u8bba\u548c\u6280\u672f\uff0c\u4ee5\u7a81\u7834\u73b0\u6709\u5c40\u9650\uff0c\u5ef6\u5c55\u9999\u519c\u6781\u9650\u3002<\/li>\n<\/ul>\n\n\n\n

      \u3000\u3000\u9999\u519c\u4fe1\u9053\u5bb9\u91cf\u7406\u8bba\u5bf9\u73b0\u4ee3\u901a\u4fe1\u6280\u672f\u7684\u5f71\u54cd\u6df1\u8fdc\uff0c\u5b83\u4e0d\u4ec5\u662f\u901a\u4fe1\u9886\u57df\u7684\u7406\u8bba\u57fa\u77f3\uff0c\u4e5f\u662f\u63a8\u52a8\u6280\u672f\u521b\u65b0\u548c\u5e94\u7528\u53d1\u5c55\u7684\u5173\u952e\u56e0\u7d20\u3002<\/p>\n\n\n\n

      \u3000\u3000\u4e94\u3001 \u5dee\u9519\u63a7\u5236\u7f16\u7801\u65b9\u6848(\u5982Hamming\u7801\u548cGolay\u7801)\u7684\u8bbe\u8ba1\u539f\u7406\u548c\u6027\u80fd\u6bd4\u8f83\u3002<\/h2>\n\n\n\n

      \u3000\u3000\u5dee\u9519\u63a7\u5236\u7f16\u7801\u65b9\u6848\uff0c\u5982Hamming\u7801\u548cGolay\u7801\uff0c\u662f\u901a\u4fe1\u9886\u57df\u4e2d\u7528\u4e8e\u63d0\u9ad8\u6570\u636e\u4f20\u8f93\u53ef\u9760\u6027\u7684\u5173\u952e\u6280\u672f\u3002\u8fd9\u4e9b\u7f16\u7801\u901a\u8fc7\u5728\u53d1\u9001\u7aef\u7684\u4fe1\u606f\u5e8f\u5217\u4e0a\u9644\u52a0\u76d1\u7763\u7801\u5143\uff0c\u5e76\u5728\u63a5\u6536\u7aef\u6839\u636e\u65e2\u5b9a\u89c4\u5219\u68c0\u9a8c\u4fe1\u606f\u7801\u5143\u4e0e\u76d1\u7763\u7801\u5143\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4ee5\u53d1\u73b0\u5e76\u7ea0\u6b63\u4f20\u8f93\u8fc7\u7a0b\u4e2d\u7684\u9519\u8bef\u3002<\/p>\n\n\n\n

      \u3000\u3000Hamming\u7801\u662f\u4e00\u79cd\u7ebf\u6027\u5206\u7ec4\u7801\uff0c\u5176\u8bbe\u8ba1\u539f\u7406\u57fa\u4e8e\u6c49\u660e\u8ddd\u79bb\u7684\u6982\u5ff5\u3002\u6c49\u660e\u8ddd\u79bb\u662f\u6307\u4e24\u4e2a\u7b49\u957f\u5b57\u7b26\u4e32\u4e4b\u95f4\u5bf9\u5e94\u4f4d\u7f6e\u7684\u4e0d\u540c\u5b57\u7b26\u7684\u6700\u5c0f\u6570\u76ee\u3002Hamming\u7801\u901a\u8fc7\u589e\u52a0\u6821\u9a8c\u4f4d\u6765\u786e\u4fdd\u6570\u636e\u7684\u5b8c\u6574\u6027\u548c\u51c6\u786e\u6027\uff0c\u5176\u4e2d\u6bcf\u4e2a\u989d\u5916\u7684\u6821\u9a8c\u4f4d\u90fd\u662f\u901a\u8fc7\u5c06\u539f\u59cb\u6570\u636e\u7684\u4e00\u90e8\u5206\u8fdb\u884c\u67d0\u79cd\u8fd0\u7b97(\u5982\u5f02\u6216)\u5f97\u5230\u7684\u3002\u4f8b\u5982\uff0c\u4e00\u4e2a(12.8)\u7684Hamming\u7801\u610f\u5473\u7740\u7f16\u7801\u540e\u7684\u6bd4\u7279\u957f\u5ea6\u4e3a12.\u5f85\u7f16\u7801\u6570\u636e\u7684\u6bd4\u7279\u957f\u5ea6\u4e3a8.\u6821\u9a8c\u4f4d\u7684\u6bd4\u7279\u957f\u5ea6\u4e3a4.\u8fd9\u6837\u53ef\u4ee5\u7ea0\u6b631\u4f4d\u7684\u9519\u8bef\u3002<\/p>\n\n\n\n

      \u3000\u3000Golay\u7801\u7684\u8bbe\u8ba1\u539f\u7406\u6d89\u53ca\u5230\u9ad8\u7ea7\u6570\u5b66\u6982\u5ff5\uff0c\u5305\u62ec\u7ebf\u6027\u4ee3\u6570\u548c\u51e0\u4f55\u5b66\uff0c\u4f7f\u5176\u6210\u4e3a\u4e00\u79cd\u6027\u80fd\u4f18\u826f\u7684\u7f16\u7801\u65b9\u6cd5\u4e4b\u4e00\u3002<\/p>\n\n\n\n

      \u3000\u3000\u5728\u6027\u80fd\u6bd4\u8f83\u65b9\u9762\uff0c\u6269\u5c55Hamming\u7801\u5728\u4e00\u5b9a\u566a\u58f0\u4fe1\u9053\u8303\u56f4\u5185\u6bd4\u6807\u51c6\u7684Hamming\u7801\u5177\u6709\u66f4\u5f3a\u7684\u7efc\u5408\u6027\u80fd\u3002\u8fd9\u8868\u660e\u5728\u4e0d\u540c\u7684\u5e94\u7528\u573a\u666f\u4e0b\uff0c\u9009\u62e9\u5408\u9002\u7684\u5dee\u9519\u63a7\u5236\u7f16\u7801\u65b9\u6848\u662f\u975e\u5e38\u91cd\u8981\u7684\u3002\u4f8b\u5982\uff0c\u5728\u9ad8\u566a\u58f0\u73af\u5883\u4e0b\uff0c\u53ef\u80fd\u9700\u8981\u4f7f\u7528\u6269\u5c55Hamming\u7801\u6216\u5176\u4ed6\u66f4\u9ad8\u7ea7\u522b\u7684\u7f16\u7801\u65b9\u6848\u6765\u786e\u4fdd\u6570\u636e\u4f20\u8f93\u7684\u53ef\u9760\u6027\u3002<\/p>\n\n\n\n

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