[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/13747#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/13747","headline":"Shannon-Hartley-Gesetz-Wikipedia","name":"Shannon-Hartley-Gesetz-Wikipedia","description":"before-content-x4 \u30b7\u30e3\u30ce\u30f3\u30fb\u30cf\u30fc\u30c8\u30ea\u30fc\u30fb\u30ed\u30fc \u30cb\u30e5\u30fc\u30b9\u30c6\u30af\u30ce\u30ed\u30b8\u30fc\u306e\u5e2f\u57df\u5e45\u3068\u4fe1\u53f7\u5bfe\u30e9\u30c3\u30b7\u30e5\u6bd4\u306b\u5fdc\u3058\u3066\u3001\u4f1d\u9001\u30c1\u30e3\u30cd\u30eb\u306e\u30d3\u30c3\u30c8\u30ec\u30fc\u30c8\u306e\u7406\u8ad6\u4e0a\u306e\u4e0a\u9650\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u30af\u30ed\u30fc\u30c9\u30fb\u30a8\u30eb\u30a6\u30c3\u30c9\u30fb\u30b7\u30e3\u30ce\u30f3\u3068\u30e9\u30eb\u30d5\u30fb\u30cf\u30fc\u30c8\u30ea\u30fc\u306b\u3061\u306a\u3093\u3067\u540d\u4ed8\u3051\u3089\u308c\u307e\u3057\u305f\u3002 [\u521d\u3081] [2] after-content-x4 \u5b9f\u969b\u306b\u306f\u3001\u30c1\u30e3\u30cd\u30eb\u5bb9\u91cf\u306a\u3069\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u306e\u9054\u6210\u53ef\u80fd\u306a\u30d3\u30c3\u30c8\u30ec\u30fc\u30c8\u3084\u4e0b\u6c34\u9053\u30b3\u30fc\u30c7\u30a3\u30f3\u30b0\u306a\u3069\u306e\u624b\u9806\u306b\u5f71\u97ff\u304c\u3042\u308a\u307e\u3059\u3002 \u30b7\u30e3\u30ce\u30f3\u30fb\u30cf\u30fc\u30c8\u30ea\u30fc\u30fb\u30ed\u30fc \u7406\u8ad6\u7684\u306a\u6700\u5927\u5024\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u3053\u306e\u6700\u9069\u306a\u624b\u9806\u306b\u95a2\u3059\u308b\u60c5\u5831\u3092\u63d0\u4f9b\u305b\u305a\u306b\u3001\u4eee\u60f3\u7684\u306a\u6700\u9069\u306a\u4e0b\u6c34\u9053\u30b3\u30fc\u30c7\u30a3\u30f3\u30b0\u3067\u5230\u9054\u3067\u304d\u307e\u3059\u3002 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\u5358\u7d14\u5316\u3059\u308b\u305f\u3081\u306b\u3001\u5e2f\u57df\u5e45\u306f\u3001\u30b1\u30fc\u30d6\u30eb\u306b\u3088\u308b\u900f\u904e\u6642\u306b\u7279\u5b9a\u306e\u6642\u9593\u3067\u96fb\u5727\u3092\u5909\u66f4\u3067\u304d\u308b\u983b\u5ea6\u3092\u6c7a\u5b9a\u3057\u3001\u4fe1\u53f7\u30e9\u30c3\u30b7\u30e5\u6bd4\u306f\u30ec\u30b7\u30d4\u30a8\u30f3\u30c8\u3068\u307e\u3060\u533a\u5225\u3067\u304d\u308b\u7570\u306a\u308b\u96fb\u5727\u30ec\u30d9\u30eb\u306e\u6570\u306e\u4fe1\u53f7\u30e9\u30c3\u30b7\u30e5\u6bd4\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002 after-content-x4 Shannon-Hartley Act\u306f\u3001\u30ce\u30a4\u30ba\u306a\u3069\u306e\u969c\u5bb3\u306b\u3088\u3063\u3066\u59a8\u3052\u3089\u308c\u308b\u4f1d\u9001\u30c1\u30e3\u30cd\u30eb\u306e\u5834\u5408\u3001\u9054\u6210\u3059\u308b\u53ef\u80fd\u6027\u306e\u3042\u308b\u30a8\u30e9\u30fc\u306e\u306a\u3044\u30c7\u30fc\u30bf\u4f1d\u9001\u3092\u3001Bietrate\u304c\u5b9f\u73fe\u3057\u305f\u5834\u5408\u3001\u0394> 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\u30b7\u30e3\u30ce\u30f3\u30cf\u30fc\u30c8\u30ea\u30fc\u6cd5\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u305f\u56fd\u5883\u3088\u308a\u3082\u5c0f\u3055\u3044","datePublished":"2022-03-03","dateModified":"2022-03-03","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/bcf1fc867419d353f92dfd48e5786568d15937a8","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/bcf1fc867419d353f92dfd48e5786568d15937a8","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/13747","wordCount":8745,"articleBody":" 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Act\u306f\u3001\u30ce\u30a4\u30ba\u306a\u3069\u306e\u969c\u5bb3\u306b\u3088\u3063\u3066\u59a8\u3052\u3089\u308c\u308b\u4f1d\u9001\u30c1\u30e3\u30cd\u30eb\u306e\u5834\u5408\u3001\u9054\u6210\u3059\u308b\u53ef\u80fd\u6027\u306e\u3042\u308b\u30a8\u30e9\u30fc\u306e\u306a\u3044\u30c7\u30fc\u30bf\u4f1d\u9001\u3092\u3001Bietrate\u304c\u5b9f\u73fe\u3057\u305f\u5834\u5408\u3001\u0394> 0\u306e\u78ba\u7387\u3067\u9054\u6210\u3067\u304d\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002 c r \u30b7\u30e3\u30ce\u30f3\u30cf\u30fc\u30c8\u30ea\u30fc\u6cd5\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u305f\u56fd\u5883\u3088\u308a\u3082\u5c0f\u3055\u3044 c s \u306f\u3002 1\u3064\u306e\u6a5f\u80fd\u306f\u3001\u7279\u5b9a\u306e\u4e0b\u6c34\u9053\u30b3\u30fc\u30c7\u30a3\u30f3\u30b0\u307e\u305f\u306f\u3069\u306e\u6280\u8853\u30d7\u30ed\u30bb\u30b9\u3092\u9054\u6210\u3067\u304d\u308b\u304b\u306b\u3064\u3044\u3066\u306e\u58f0\u660e\u304c\u4f5c\u6210\u3055\u308c\u306a\u3044\u3053\u3068\u3067\u3059\u3002\u5b9f\u73fe\u3057\u305f\u30d3\u30c3\u30c8\u30ec\u30fc\u30c8\u304c\u3042\u308a\u307e\u3059 c r \u306e\u5883\u754c\u306e\u4e0a c s \u30a8\u30e9\u30fc-free\u0394= 0\u306e\u53ef\u80fd\u6027\u306f\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u4f7f\u7528\u3055\u308c\u308b\u65b9\u6cd5\u306b\u95a2\u4fc2\u306a\u304f\u3001\u30a8\u30e9\u30fc\u3092\u542b\u307e\u306a\u3044\u30c7\u30fc\u30bf\u9001\u4fe1\u306f\u4e0d\u53ef\u80fd\u3067\u3059\u3002 Table of Contents\u30ce\u30a4\u30ba &#8211; \u30d5\u30ea\u30fc\u30c8\u30e9\u30f3\u30b9\u30df\u30c3\u30b7\u30e7\u30f3\u30c1\u30e3\u30cd\u30eb [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u9a12\u97f3\u3067\u904b\u6cb3\u3092\u8ee2\u9001\u3057\u307e\u3059 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5883\u754c [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u57fa\u672c\u4fe1\u53f7\u306e\u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u67a2\u6a5f\u30b7\u30ea\u30fc\u30ba [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] QAM [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] OFDM [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30e9\u30c3\u30b7\u30f3\u30b0\u30c1\u30e3\u30cd\u30eb\u3067\u8ee2\u9001\u3057\u307e\u3059 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4fe1\u53f7\u30dd\u30a4\u30f3\u30c8\u306e\u30b8\u30aa\u30e1\u30c8\u30ea [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30e9\u30f3\u30c0\u30e0\u69cb\u6210 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4f1d\u9001\u30a8\u30e9\u30fc\u306e\u63a8\u5b9a [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30ce\u30a4\u30ba &#8211; \u30d5\u30ea\u30fc\u30c8\u30e9\u30f3\u30b9\u30df\u30c3\u30b7\u30e7\u30f3\u30c1\u30e3\u30cd\u30eb [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6700\u5927\u30c7\u30fc\u30bf\u8ee2\u9001\u901f\u5ea6 c n \u5e2f\u57df\u5e45\u3092\u5099\u3048\u305f\u30c8\u30e9\u30d6\u30eb\u306e\u306a\u3044\u4f1d\u9001\u30c1\u30e3\u30cd\u30eb b \u306b\u3088\u3063\u3066\u4e0e\u3048\u3089\u308c\u307e\u3059\uff1a        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4c N= 2 de b {displaystyle c_ {n} = 2cdot b} \u5e2f\u57df\u5e45 b Hertz\u3067\u793a\u3055\u308c\u3066\u304a\u308a\u3001\u30c7\u30fc\u30bf\u8ee2\u9001\u901f\u5ea6\u306f\u30b7\u30f3\u30dc\u30eb\u3042\u305f\u308a\u306e\u30b7\u30f3\u30dc\u30eb\uff08\u30dc\u30fc\uff09\u3067\u3059\u3002 2\u3064\u306e\u6587\u5b57\u306e\u307f\u306e\u30d0\u30a4\u30ca\u30ea\u8a18\u53f7\u30a2\u30eb\u30d5\u30a1\u30d9\u30c3\u30c8\u306e\u5834\u5408\u3001\u30d3\u30c3\u30c8\u30ec\u30fc\u30c8\uff08BPS\uff09\u3067\u6e2c\u5b9a\u3055\u308c\u305f\u30d3\u30c3\u30c8\u30ec\u30fc\u30c8\u306f\u3001\u30dc\u30fc\u3067\u6e2c\u5b9a\u3055\u308c\u305f\u30b7\u30f3\u30dc\u30eb\u30ec\u30fc\u30c8\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u53f0 l \u5229\u7528\u53ef\u80fd\u306a\u30b7\u30f3\u30dc\u30eb\u3001ld\uff08 l \uff09\u8a18\u53f7\u3042\u305f\u308a\u306e\u30d3\u30c3\u30c8\u3092\u8868\u3057\u307e\u3059\uff1a c N= 2 de b de l d \uff08 l \uff09\uff09 \u3001 {displaystyle c_ {n} = 2cdot bcdot mathrm {ld}\uff08l\uff09\u3001} \u5f0fLd\uff08\u30fb\uff09\u306f\u3001\u30d9\u30fc\u30b92\u3078\u306e\u5bfe\u6570\u3092\u793a\u3057\u307e\u3059\u3002 \u4f8b\uff1a\u6700\u59272000\u306e\u30dc\u30fc\u30921000 Hz\u306e\u7bc4\u56f2\u3067\u9001\u4fe1\u3067\u304d\u307e\u3059\u3002\u30b7\u30f3\u30dc\u30eb\u304c\u5c11\u3057\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001\u4f8b\u3048\u3070B.\u300c0\u300d\u307e\u305f\u306f\u300c1\u300d\u30012000\u30d3\u30c3\u30c8\/s\u306e\u30c7\u30fc\u30bf\u30ec\u30fc\u30c8\u306b\u5230\u9054\u3057\u307e\u3059\u3002\u30c9\u30a4\u30c4\u306e\u30a2\u30eb\u30d5\u30a1\u30d9\u30c3\u30c8\u306e26\u6587\u5b57\uff08\u7279\u6b8a\u6587\u5b57\u306a\u3057\uff09\u306e\u5834\u5408\u30019400\u30d3\u30c3\u30c8\/s\u306e\u30c7\u30fc\u30bf\u30ec\u30fc\u30c8\u304cLD\uff0826\uff09\u56e0\u5b50\u3067\u3059\u3002\u5341\u5206\u306b\u591a\u304f\u306e\u7570\u306a\u308b\u30b7\u30f3\u30dc\u30eb\u3092\u9078\u629e\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u30ce\u30a4\u30ba\u306e\u306a\u3044\u30d0\u30f3\u30c9\u5236\u9650\u30c8\u30e9\u30f3\u30b9\u30df\u30c3\u30b7\u30e7\u30f3\u30c1\u30e3\u30cd\u30eb\u3067\u4efb\u610f\u306b\u9ad8\u3044\u30d3\u30c3\u30c8\u30ec\u30fc\u30c8\u3092\u9054\u6210\u3067\u304d\u307e\u3059\u3002 \u9a12\u97f3\u3067\u904b\u6cb3\u3092\u8ee2\u9001\u3057\u307e\u3059 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30af\u30ed\u30fc\u30c9\u30fb\u30b7\u30e3\u30ce\u30f3\u306f\u3053\u306e\u5b9a\u7406\u3092\u4e00\u822c\u5316\u3057\u307e\u3057\u305f\u3002\u52a0\u6cd5\u306e\u767d\u3044\u30ac\u30a6\u30b9\u3068\u7565\u3055\u308c\u305f\u30c1\u30e3\u30cd\u30eb\u306e\u5834\u5408\u3001\u68c4\u6a29\u3057\u305f awgn-kanal \u3001\u305d\u308c\u3092\u53d6\u308a\u307e\u3059 \u30b7\u30e3\u30ce\u30f3\u30fb\u30cf\u30fc\u30c8\u30ea\u30fc\u30fb\u30ed\u30fc \u6b21\u306e\u30d5\u30a9\u30fc\u30e0\uff1a c S= b de l d \uff08 1+SN\uff09\uff09 = b de l d \uff08 1+SN0\u22c5B\uff09\uff09 {displaystyle c_ {s} = bcdot mathrm {ld} left\uff081+ {frac {s} {n}}\u53f3\uff09= bcdot mathrm {ld} left\uff081+ {frac {s} {n_ {0} cdot B}}}} c s \u53ef\u80fd\u306a\u6700\u5927\u30d3\u30c3\u30c8\u30ec\u30fc\u30c8\uff081\u79d2\u3042\u305f\u308a\u306e\u30d3\u30c3\u30c8\uff09\u306f\uff08\u3053\u306e\u30c1\u30e3\u30cd\u30eb\u30e2\u30c7\u30eb\u3092\u4f7f\u7528\uff09\u3001 s \u4fe1\u53f7\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u3002\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc n \u30b9\u30da\u30af\u30c8\u30eb\u5b9a\u6570\u30ce\u30a4\u30ba\u3092\u8868\u3057\u3001S\/N\u306e\u6bd4\u306f\u4fe1\u53f7\u30e9\u30c3\u30b7\u30e5\u6bd4\uff08SNR\uff09\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002\u96d1\u97f3 n \u4e2d\u6bd2\u5bc6\u5ea6\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u539f\u56e0\u3067\u3042\u308b\u53ef\u80fd\u6027\u3082\u3042\u308a\u307e\u3059 n 0 \u5e2f\u57df\u5e45\u306b\u3064\u3044\u3066 b \u8868\u73fe\u3055\u308c\u308b\u3002 \u53ef\u80fd\u306a\u6700\u5927\u30d3\u30c3\u30c8\u30ec\u30fc\u30c8\u306f\u3001\u30db\u30ef\u30a4\u30c8\u30ce\u30a4\u30ba\u306e\u524d\u63d0\u6761\u4ef6\u306e\u4e0a\u9650\u3092\u8868\u3057\u307e\u3059\u3002AWGN\u30c1\u30e3\u30cd\u30eb\u306b\u5bfe\u5fdc\u3057\u306a\u3044\u30c1\u30e3\u30cd\u30eb\u30e2\u30c7\u30eb\u3084\u3001\u7570\u306a\u308b\u30b9\u30da\u30af\u30c8\u30eb\u30ce\u30a4\u30ba\u30d1\u30ef\u30fc\u5bc6\u5ea6\u3067\u306f\u3001\u4ed6\u306e\u95a2\u4fc2\u304c\u3042\u308a\u307e\u3059\u3002 \u4f8b\uff1a\u6700\u59276.7 kbit\/s\u306f\u30011000 Hz\u306e\u5e2f\u57df\u5e45\u3092\u6301\u306420 dB\u306eSNR\u3068\u306e\u7dda\u3092\u4ecb\u3057\u3066\u9001\u4fe1\u3067\u304d\u307e\u3059\u3002 \u8acb\u6c42\u66f8\uff1a SNR\u306eS\/N\u3078\u306e\u5909\u63db\uff1aSNR = 10\u30fb\u30ed\u30b0 \u5341 \uff08S\/N\uff09\u219220 dB = 10\u30fb\u30ed\u30b0 \u5341 \uff08x\uff09\u21942 dB = log \u5341 \uff08x\uff09\u219410\u00b2= x x x = 100\u2192s\/n = 100 \u4f1d\u9001\u5bb9\u91cf\u306e\u8a08\u7b97\uff1ac s = f \u30de\u30c3\u30af\u30b9 \u30fb\u30ed\u30b0 2 \uff081+s\/n\uff09= 1000 Hz\u30fbln\uff081+100\uff09\u00f7ln\uff082\uff09\u30d3\u30c3\u30c8= 1000\u30fbln\uff08101\uff09\u00f7ln\uff082\uff09\u30d3\u30c3\u30c8\/s\u22486658\u30d3\u30c3\u30c8\/s\u22486,7kbit\/s \u3053\u306e\u30d3\u30c3\u30c8\u30ec\u30fc\u30c8\u306f\u3001\u305f\u3068\u3048\u3070\u3001\u30bf\u30fc\u30dc\u30b3\u30fc\u30c9\u306a\u3069\u306e\u9069\u5207\u306a\u4e0b\u6c34\u9053\u30b3\u30fc\u30c7\u30a3\u30f3\u30b0\u306b\u3088\u308a\u3001\u5b9f\u969b\u306b\u306f\u5230\u9054\u3067\u304d\u307e\u3059\u3002 B = 1 Hz\uff08\u4e38\u307f\u3092\u5e2f\u3073\u305f\u5024\uff09\u306e\u5e2f\u57df\u5e45\u306b\u3088\u308b\u8a55\u4fa1\u306e\u3055\u3089\u306a\u308b\u5024\uff1a SNR c s SNR c s SNR c s \u201330 dB 0,001442\u30d3\u30c3\u30c8\/s 0 dB 1,000\u30d3\u30c3\u30c8\/s +20 dB 0 6,658\u30d3\u30c3\u30c8\/s \u201320 dB 0,014355\u30d3\u30c3\u30c8\/s +3 dB 1,582\u30d3\u30c3\u30c8\/s +40 dB 13,288\u30d3\u30c3\u30c8\/s \u201310 dB 0,137503\u30d3\u30c3\u30c8\/s +6 dB 2,316\u30d3\u30c3\u30c8\/s +60 dB 19,932\u30d3\u30c3\u30c8\/s \u20136 dB 0,323299\u30d3\u30c3\u30c8\/s +10 dB 3,459\u30d3\u30c3\u30c8\/s +80 dB 26,575\u30d3\u30c3\u30c8\/s \u20133 dB 0,586104\u30d3\u30c3\u30c8\/s +15 dB 5,028\u30d3\u30c3\u30c8\/s +100 dB 33,219\u30d3\u30c3\u30c8\/s \u5883\u754c [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ]  \u95a2\u6570\u3068\u3057\u3066\u306e\u30d3\u30c3\u30c8\u30a8\u30e9\u30fc\u5468\u6ce2\u6570 \u3068 b \/ n 0 \u4e00\u5b9a\u306e\u4fe1\u53f7\u6027\u80fd\u306b\u306a\u308a\u307e\u3059 s \u304a\u3088\u3073\u4e00\u5b9a\u306e\u30b9\u30da\u30af\u30c8\u30eb\u30ce\u30a4\u30ba\u30d1\u30ef\u30fc\u5bc6\u5ea6 n 0 \u5e2f\u57df\u5e45\u306e\u307f b \u5897\u52a0\u3059\u308b\u3068\u3001\u53ef\u80fd\u306a\u9650\u308a\u6700\u5927\u30d3\u30c3\u30c8\u30ec\u30fc\u30c8\u304c\u53ef\u80fd\u3067\u3059 c s \u305d\u308c\u307e\u3067 \u30ea\u30e0 B\u2192\u221ec S= SN0l d \uff08 \u305d\u3046\u3067\u3059 \uff09\uff09 \u2248 1.442 &#8230; SN0{displaystyle lim _ {bto infty} c_ {s} = {frac {s} {n_ {0}}} mathrm {ld}\uff08e\uff09\u7d041 {\u3001} 442dots {frac {s} {n_ {0}}}}}}}}}}} \u5897\u52a0\u3002\u3053\u308c\u306f\u3001\u7121\u9650\u306b\u5e83\u7bc4\u56f2\u306b\u53ca\u3076\u5e2f\u57df\u5e45\u306b\u3088\u3063\u3066\u3082\u305d\u308c\u3092\u610f\u5473\u3057\u307e\u3059 b \u30c8\u30e9\u30f3\u30b9\u30df\u30c3\u30b7\u30e7\u30f3\u30c1\u30e3\u30cd\u30eb\u306e\u6700\u5927\u30d3\u30c3\u30c8\u30ec\u30fc\u30c8\u306e\u307f\u304c\u5897\u52a0\u3057\u307e\u3059\u3002 \u5b9f\u969b\u306e\u4f1d\u9001\u30b7\u30b9\u30c6\u30e0\u3067\u306f\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u3082 \u3068 b \u305d\u308c\u306f\u5c11\u3057\u306e\u8ee2\u9001\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u307e\u3059\u3002\u9001\u4fe1\u306b\u306f\u3001\u4fe1\u53f7\u6027\u80fd\u304c\u5fc5\u8981\u3067\u3059 s \u671f\u9593 t \u3002\u5b9f\u969b\u306e\u30d3\u30c3\u30c8\u30ec\u30fc\u30c8 c r \u5e38\u306b\u6700\u5927\u30d3\u30c3\u30c8\u30ec\u30fc\u30c8\u3092\u4e0b\u56de\u3063\u3066\u3044\u307e\u3059 c s \uff1a CRB= \u30d0\u30c4 < CSB= l d \uff08 1+SN0\u22c5B\uff09\uff09 = l d \uff08 1+CRB\u22c5EbN0\uff09\uff09 {displaystyle {frac {c_ {r}} {b}} = x 1x= ln \u2061 \uff08 2 \uff09\uff09 \u2248 0.693 \u2248  &#8211;  \u521d\u3081 \u3001 6 d b {displaystyle {frac {e_ {b}} {n_ {0}}} = lim _ {xto 0} {frac {2^{x} -1}} = ln\uff082\uff09\u7d040 {\u3001} 693APPROX -1 { \u3053\u308c\u306f\u3001\u306e\u6bd4\u7387\u306e\u4e0b\u3067\u306e\u4e8b\u5b9f\u3092\u8868\u3057\u3066\u3044\u307e\u3059 \u3068 b \/ n 0 = \u22121.6 dB AWGN\u30c1\u30e3\u30cd\u30eb\u3067\u306f\u3001\u30a8\u30e9\u30fc\u306e\u306a\u3044\u30c7\u30fc\u30bf\u9001\u4fe1\u306f\u4e0d\u53ef\u80fd\u3067\u3059\u3002\u3053\u306e\u6bd4\u7387\u306fS\/N\u3067\u306f\u306a\u304f\u3001\u30a8\u30cd\u30eb\u30ae\u30fc \u3068 b \u30b9\u30da\u30af\u30c8\u30eb\u4e2d\u6bd2\u5bc6\u5ea6\u3067\u5c11\u3057\u306e\u60c5\u5831\u3092\u5c11\u3057\u8ee2\u9001\u3059\u308b n 0 \u6700\u5c0f\u9650\u306b\u8cbb\u3084\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u306e\u72b6\u6cc1\u306e\u305f\u200b\u200b\u3081\u306b\u53f3\u5074\u306e\u56f3\u306e\u4e2d\u306b\u3042\u308a\u307e\u3059 \u3068 b \/ n 0 \u3055\u307e\u3056\u307e\u306a\u4e0b\u6c34\u9053\u30b3\u30fc\u30c7\u30a3\u30f3\u30b0\u306e\u305f\u3081\u306e\u5782\u76f4\u306e\u9ed2\u3044\u5883\u754c\u7dda\u3068\u3057\u3066\u63cf\u304b\u308c\u3066\u3044\u307e\u3059\u3002 [3] \u305d\u306e\u5236\u9650\u306f\u3001\u5c0f\u3055\u306a\u30b9\u30da\u30af\u30c8\u30eb\u52b9\u7387\u306b\u9069\u7528\u3055\u308c\u307e\u3059 \u30d0\u30c4 \u226a1\u3002\u305d\u306e\u3088\u3046\u306a\u4fe1\u53f7\u3082\u305d\u3046\u3067\u3059 \u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9 &#8211; \u5236\u9650 \u5e2f\u57df\u5e45\u304c\u5927\u304d\u3044\u304c\u3001\u5229\u7528\u53ef\u80fd\u306a\u30b5\u30fc\u30d3\u30b9\u306f\u9650\u3089\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u53c2\u7167\u3059\u308b\u4fe1\u53f7\u3002\u305f\u3068\u3048\u3070\u3001\u90e8\u5c4b\u30d7\u30ed\u30fc\u30d6\u3078\u306e\u901a\u4fe1\u306f\u9650\u3089\u308c\u3066\u3044\u307e\u3059\u304c\u3001\u653e\u5c04\u7dda\u306f\u5927\u304d\u306a\u5468\u6ce2\u6570\u5e2f\u57df\u3067\u884c\u308f\u308c\u307e\u3059\u3002\u30b7\u30e3\u30ce\u30f3\u5883\u754c\u306e\u3053\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u306f\u3001\u9ed2\u306e\u6b63\u3057\u3044\u56f3\u306b\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u30b9\u30da\u30af\u30c8\u30eb\u52b9\u7387 \u30d0\u30c4 \u4e00\u65b9\u3001\u226b1\u306f\u5e2f\u57df\u5e45\u3067\u3059 b \u5236\u9650\u8981\u56e0\u3001\u3053\u308c\u3089\u306e\u4fe1\u53f7\u306f\u305d\u3046\u3067\u3059 \u30d0\u30f3\u30c9 &#8211; \u5236\u9650 \u8a18\u8ff0\u3055\u308c\u305f\u4fe1\u53f7\u3002\u305f\u3068\u3048\u3070\u30011024-QAM\u306a\u3069\u306e\u30b9\u30da\u30af\u30c8\u30eb\u52b9\u7387\u7684\u306a\u5909\u8abf\u6cd5\u3092\u5099\u3048\u305f\u5730\u4e0a\u30c7\u30b8\u30bf\u30eb\u7121\u7dda\u63a5\u7d9a\u306f\u3001\u5178\u578b\u7684\u306a\u5e2f\u57df\u5e45\u5168\u4f53\u306e\u4fe1\u53f7\u3067\u3059\u3002 \u8077\u5834\u3067 \u300c\u30ce\u30a4\u30ba\u306e\u5b58\u5728\u4e0b\u3067\u306e\u30b3\u30df\u30e5\u30cb\u30b1\u30fc\u30b7\u30e7\u30f3\u300d \u30e2\u30c7\u30eb\u5316\u3055\u308c\u305f\u30af\u30ed\u30fc\u30c9\u30fb\u30a8\u30eb\u30a6\u30c3\u30c9\u30fb\u30b7\u30e3\u30ce\u30f3\u306f\u3001\u5b9f\u969b\u306e\u30d9\u30af\u30c8\u30eb\u30eb\u30fc\u30e0\u3068\u3057\u3066\u30c8\u30e9\u30f3\u30b9\u30df\u30c3\u30b7\u30e7\u30f3\u30c1\u30e3\u30cd\u30eb\u3092\u5c0e\u5165\u3057\u307e\u3057\u305f\u3002\u5404\u8ee2\u9001\u53ef\u80fd\u306a\u30b7\u30f3\u30dc\u30eb\u306f\u3001\u3053\u306e\u30d9\u30af\u30c8\u30eb\u30eb\u30fc\u30e0\u306e\u5ea7\u6a19\u3067\u3059\u3002\u4efb\u610f\u306e\u6570\u306e\u30b7\u30f3\u30dc\u30eb\u3092\u6642\u9593\u5185\u306b\u9001\u4fe1\u3067\u304d\u308b\u305f\u3081\u3001\u30d9\u30af\u30c8\u30eb\u30eb\u30fc\u30e0\u306f\u7121\u9650\u306b\u5bf8\u6cd5\u3067\u3059\u3002\u5404\u5ea7\u6a19\u306f\u3001\u57fa\u672c\u4fe1\u53f7\u3001\u3064\u307e\u308aH.\u5b9f\u969b\u306e\u4f9d\u5b58\u95a2\u6570\u3002\u30e2\u30c7\u30eb\u3092\u7c21\u5358\u306b\u3059\u308b\u305f\u3081\u306b\u3001\u57fa\u672c\u7684\u306a\u4fe1\u53f7\u306f\u5b9a\u671f\u7684\u306b\u7e70\u308a\u8fd4\u3055\u308c\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u30b3\u30d4\u30fc\u306f\u6642\u9593\u30b7\u30d5\u30c8\u306b\u3088\u3063\u3066\u306e\u307f\u533a\u5225\u3055\u308c\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u305d\u308c\u306f\u53ef\u80fd\u3067\u3059 \uff08K +\uff09 -te\u3068\u540c\u4e00\u306e\u57fa\u672c\u4fe1\u53f7 k  &#8211; \u6642\u9593\u5dee\u307e\u3067\u306e\u30d9\u30fc\u30b9\u4fe1\u53f7 nt \u3002\u3042\u308b d \u300c\u521d\u7b49\u300d\u306e\u57fa\u672c\u4fe1\u53f7\u306e\u6570\u3001\u305d\u306e\u30b7\u30fc\u30b1\u30f3\u30b9\u306f\u671f\u9593\u306e\u3042\u308b t \u7e70\u308a\u8fd4\u3057\u3002\u305d\u306e\u5f8c\u3001\u671f\u9593\u4e2d\u306b nt \u305f\u304f\u3055\u3093 nd \u30b7\u30f3\u30dc\u30eb\u3092\u9001\u4fe1\u3067\u304d\u307e\u3059\u3002 \u5ea7\u6a19\u306b\u5272\u308a\u5f53\u3066\u3089\u308c\u305f\u57fa\u672c\u7684\u306a\u4fe1\u53f7\u306f\u76f4\u4ea4\u3057\u3001\u5168\u4f53\u7684\u306b\u4fe1\u53f7\u30d9\u30af\u30bf\u30fc\u306e\u76f4\u4ea4\u30d9\u30fc\u30b9\u3067\u3042\u308b\u3068\u60f3\u5b9a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u4efb\u610f\u306e\u4fe1\u53f7\u306f\u3001\u3053\u308c\u3089\u306e\u57fa\u672c\u4fe1\u53f7\u306e\uff08\u7121\u9650\u306e\uff09\u7dda\u5f62\u7d50\u5408\u3067\u3059\u3002\u9001\u4fe1\u3055\u308c\u305f\u30b7\u30f3\u30dc\u30eb\u306b\u5bfe\u5fdc\u3059\u308b\u3053\u306e\u7dda\u5f62\u7d50\u5408\u306e\u4fc2\u6570\u306f\u3001\u57fa\u672c\u4fe1\u53f7\u3092\u4f7f\u7528\u3057\u3066\u4fe1\u53f7\u306e\u30b9\u30ab\u30e9\u30fc\u7a4d\u3092\u5f62\u6210\u3059\u308b\u3053\u3068\u3067\u56de\u5fa9\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u305f\u3002 \u30d0\u30f3\u30c9\u306b\u5236\u9650\u3055\u308c\u305f\u4f1d\u9001\u30c1\u30e3\u30cd\u30eb\u306e\u91cd\u8981\u306a\u7406\u8ad6\u7684\u4f8b\u3067\u306f\u3001\u30b7\u30f3\u30dc\u30eb\u30ec\u30fc\u30c8\u306f\u6700\u5927\u5468\u6ce2\u6570\u306b\u3088\u308b\u3082\u306e\u3067\u3059 \u306e \u306e\u4e0a 2\u30a4\u30f3\u30c1 \u9650\u5b9a\u3002\u6709\u9650\u9577\u306e\u6642\u9593\u9593\u9694 t \u3057\u305f\u304c\u3063\u3066\u3001\u6709\u9650\u6570\u3057\u304b\u3067\u304d\u307e\u305b\u3093 d \u30b7\u30f3\u30dc\u30eb\u306b\u3088\u3063\u3066\u9001\u4fe1\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u3089\u306f\u3001\u6b21\u5143\u306e\u30b5\u30d6\u30d9\u30af\u30c8\u30eb\u30eb\u30fc\u30e0\u306b\u53ca\u3073\u307e\u3059 d \u4fe1\u53f7\u30d9\u30af\u30c8\u30eb\u5185\u3002\u6563\u4e71\u5b9a\u7406\u306e\u5f8c\u306e\u6700\u5927\u5bf8\u6cd5\u3067\u3059 d = 2wt \u60f3\u5b9a\u3002 \u57fa\u672c\u4fe1\u53f7\u306e\u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4ee5\u4e0b\u3067\u306f\u3001\u3044\u304f\u3064\u304b\u306e\u6570\u5b66\u3001\u3059\u306a\u308f\u3061H.\u57fa\u672c\u7684\u306a\u6a5f\u80fd\u306e\u30b7\u30b9\u30c6\u30e0\u3092\u5099\u3048\u305f\u7406\u60f3\u7684\u306a\u4f1d\u9001\u30c1\u30e3\u30cd\u30eb\u304c\u30ea\u30b9\u30c8\u3055\u308c\u3066\u304a\u308a\u3001\u4fe1\u53f7\u30d9\u30af\u30c8\u30eb\u306e\u4e0a\u8a18\u306e\u4eee\u5b9a\u3092\u6e80\u305f\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u3089\u306f\u3059\u3079\u3066\u30d0\u30f3\u30c9\u5236\u9650\u3067\u3042\u308a\u3001\u300c\u5c0f\u5b66\u6821\u300d\u30d9\u30fc\u30b9\u30d0\u30f3\u30c9\u30c1\u30e3\u30cd\u30eb\u306b\u52a0\u3048\u3066\u3001\u30c1\u30e3\u30cd\u30eb\u306e\u57fa\u672c\u4fe1\u53f7\u306e\u30b7\u30b9\u30c6\u30e0\u3092\u30bc\u30ed\u306e\u7570\u306a\u308b\u6700\u5c0f\u5468\u6ce2\u6570\u3067\u6307\u5b9a\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 \u67a2\u6a5f\u30b7\u30ea\u30fc\u30ba [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30b7\u30e3\u30ce\u30f3\u306f\u3001\u6700\u3082\u5358\u7d14\u306a\u4fe1\u53f7\u30e2\u30c7\u30eb\u3068\u3057\u3066\u6700\u3082\u9ad8\u3044\u5468\u6ce2\u6570\u306e\u57fa\u672c\u30d0\u30f3\u30c9\u4fe1\u53f7\u3092\u4f7f\u7528\u3057\u307e\u3057\u305f \u306e \u3002wks\u306e\u5b9a\u7406\u3092\u7834\u68c4\u3057\u305f\u5f8c\uff08Whittaker-Kotelnikow-shannon\u306e\u5834\u5408\u306f\u3001Nyquist-Shannon-Abbestheorem\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\uff09 2wt \u671f\u9593\u306e\u30b7\u30f3\u30dc\u30eb t \u8ee2\u9001\u3059\u308b\u306b\u306f\u3001\u57fa\u672c\u7684\u306a\u4fe1\u53f7\u306fsinc\u95a2\u6570\u3067\u3059 g n\uff08 t \uff09\uff09 = sinc \u2061 \uff08 2 \u306e t  &#8211;  n \uff09\uff09 = sin\u2061\u03c0(2Wt\u2212n)\u03c0(2Wt\u2212n){displaystyle g_ {n}\uff08t\uff09= operatualname {sinc}\uff082wt-n\uff09= {frac {sin pi\uff082wt-n\uff09} {pi\uff082wt-n\uff09}}}}}}} \u3001 n =\u2026\u3001-1\u30010\u30011\u3001\u2026\u3053\u308c\u3089\u306f\u4e2d\u5fc3\u307e\u305f\u306f\u6700\u5927\u5024\u3092\u6301\u3063\u3066\u3044\u307e\u3059 t n = n 2W{displaystyle t_ {n} = {frac {n} {2w}}} \u3001d\u3002 H.\u30b7\u30f3\u30dc\u30eb\u30ec\u30fc\u30c8\u306f\u3067\u3059 2\u30a4\u30f3\u30c1 \u3002\u3053\u306e\u30aa\u30eb\u30bd\u30fc\u30de\u30eb\u30b7\u30b9\u30c6\u30e0\u306f\u3001\u5468\u6ce2\u6570\u5236\u9650PCM\u30d7\u30ed\u30bb\u30b9\uff08\u30d1\u30eb\u30b9\u30b3\u30fc\u30c9\u5909\u8abf\uff09\u306e\u7406\u60f3\u7684\u306a\u7406\u8ad6\u30e2\u30c7\u30ea\u30f3\u30b0\u3067\u3059\u3002 QAM [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u7406\u60f3\u7684\u306aQAM\u30b7\u30b9\u30c6\u30e0\uff08\u76f4\u4ea4\u632f\u5e45\u5909\u8abf\uff09\u306f\u30b7\u30f3\u30dc\u30eb\u30ec\u30fc\u30c8\u3067\u9001\u4fe1\u3055\u308c\u307e\u3059 \u306e \u5468\u6ce2\u6570\u5e2f\u57df\u306e\u30c7\u30fc\u30bf [f-w\/2\u3001f+w\/2] \u3002\u4e2d\u592e\u306e\u30ad\u30e3\u30ea\u30a2\u5468\u6ce2\u6570\u306f\u5fc5\u8981\u3067\u3059 f \u5e2f\u57df\u5e45\u306e\u5b8c\u5168\u306a\u6570 \u306e \u306a\u308c\u3002\u3053\u3053\u3067\u306f\u3001\u30b7\u30f3\u30dc\u30eb\u306f\u8907\u96d1\u306a\u6570\u5b57\u3067\u3059 a n + \u79c1 b n {displaystyle a_ {n}+ib_ {n}} \u3001d\u3002 H.\u30ac\u30a6\u30b9\u6570\u30ec\u30d9\u30eb\u306e\u30dd\u30a4\u30f3\u30c8\u3002\u3060\u304b\u3089\u518d\u3073\u3042\u308a\u307e\u3059 2wt \u671f\u9593\u306e\u5b9f\u6570 t \u79fb\u884c\u3002\u8907\u96d1\u306a\u30b7\u30f3\u30dc\u30eb\u3054\u3068\u306b2\u3064\u306e\u57fa\u672c\u7684\u306a\u95a2\u6570\u3082\u3042\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u306f\u3001\u8907\u96d1\u306a\u54c1\u8cea\u95a2\u6570\u306b\u7d50\u5408\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 g n\uff08 t \uff09\uff09 = g Q,n\uff08 t \uff09\uff09 + \u79c1 g I,n\uff08 t \uff09\uff09 = sinc \u2061 \uff08 \u306e t  &#8211;  n \uff09\uff09 de \u305d\u3046\u3067\u3059 i2\u03c0Ft= sin\u2061\u03c0(Wt\u2212n)\u03c0(Wt\u2212n)\uff08 cos \u2061 \uff08 2 pi f t \uff09\uff09 + \u79c1 \u7f6a \u2061 \uff08 2 pi f t \uff09\uff09 \uff09\uff09 M Tume Fele States \u2014 Happe\uff09Hyookook\u3001Malub\u00e9pM\u00f6toe\uff09M\u00e9pate22-2\uff09Mmem 22-2 \u3001 n =\u2026\u3001-1\u30010\u30011\u3001\u2026\u5404\u4fe1\u53f7\u306f\u5408\u8a08\u3068\u3057\u3066\u751f\u3058\u307e\u3059 a n g Q \u3001 n \uff08 t \uff09\uff09 + b n g \u79c1 \u3001 n \uff08 t \uff09\uff09 {displaystyle a_ {n} g_ {q\u3001n}\uff08t\uff09+b_ {n} g_ {i\u3001n}\uff08t\uff09} \u3002 OFDM [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u7406\u60f3\u7684\u306aOFDM\u30b7\u30b9\u30c6\u30e0\uff08\u76f4\u4ea4\u5468\u6ce2\u6570\u5206\u5272\u591a\u91cd\u5316\uff09\u306f\u3001\u30b7\u30f3\u30dc\u30eb\u30ec\u30fc\u30c8\u3067\u9001\u4fe1\u3055\u308c\u307e\u3059 w\/m \u6b21\u5143\u306e\u8907\u96d1\u306a\u30d9\u30af\u30c8\u30eb m \u5468\u6ce2\u6570\u5e2f\u57df [f-w\/\uff082m\uff09\u3001f+w+w\/\uff082m\uff09]]] \u3002 f \u30c7\u30fc\u30bf\u30ec\u30fc\u30c8\u306e\u4f55\u500d\u3082\u6574\u6570\u304c\u5fc5\u8981\u3067\u3059 w\/m \u306a\u308c\u3002\u3060\u304b\u3089\u305d\u308c\u306f\u305d\u3046\u3057\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093 2m \u30d9\u30af\u30c8\u30eb\u3054\u3068\u306e\u672c\u7269\u306e\u57fa\u672c\u4fe1\u53f7\u3092\u8ffd\u52a0\u3057\u307e\u3059 m \u8907\u96d1\u306a\u95a2\u6570\u3092\u8981\u7d04\u3067\u304d\u307e\u3059 gj,n(t)+igM+j,n(t)=sinc\u2061(Wt\/M\u2212n)\u22c5e\u2212i2\u03c0(F+jW\/M)t{displaystyle g_ {j\u3001n}\uff08t\uff09+ig_ {m+j\u3001n}\uff08t\uff09= operatorname {sinc}\uff08wt\/m-n\uff09cdot e^{-i2pi\u3001\uff08f+jw\/m\uff09t}}} =sin\u2061\u03c0(Wt\/M\u2212n)\u03c0(Wt\/M\u2212n)(cos\u2061(2\u03c0(F+jW\/M)t)\u2212isin\u2061(2\u03c0(F+jW\/M)t)){displaystyle ={frac {sin pi (Wt\/M-n)}{pi (Wt\/M-n)}}(cos(2pi ,(F+jW\/M)t)-isin(2pi ,(F+jW\/M)t))}\u3001 j = 0\u3001&#8230;\u3001 m -\u521d\u3081\u3001 n = &#8230;\u3001-1\u30010\u30011\u3001&#8230; SINC\u6a5f\u80fd\u306f\u6280\u8853\u7684\u306b\u5b9f\u73fe\u3067\u304d\u306a\u3044\u305f\u3081\u3001\u4ed6\u306e\u89e3\u6c7a\u7b56\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u5468\u6ce2\u6570\u30d5\u30a3\u30eb\u30bf\u30fc\u306f\u3001\u57fa\u672c\u4fe1\u53f7\u306e\u76f4\u4ea4\u6027\u3092\u7834\u58ca\u3057\u3001\u30b7\u30f3\u30dc\u30eb\uff08ICI\uff09\u3068\u30b7\u30f3\u30dc\u30eb\uff08ISI\uff09\u306e\u9593\u306b\u76f8\u4e92\u969c\u5bb3\u304c\u3042\u308a\u307e\u3059\u3002\u30c7\u30fc\u30bf\u30ec\u30fc\u30c8\u3092\u4e0a\u3052\u308b\u3053\u3068\u306a\u304f\u4fe1\u53f7\u751f\u7523\u306e\u30af\u30ed\u30c3\u30af\u30ec\u30fc\u30c8\u3092\u4e0a\u3052\u308b\u3068\u3001\u53d6\u5f97\u3055\u308c\u305f\u81ea\u7531\u5ea6\u3092\u4f7f\u7528\u3057\u3066\u3001\u30d5\u30a3\u30eb\u30bf\u30ea\u30f3\u30b0\u306a\u3057\u3067\u65e2\u306b\u5468\u6ce2\u6570\u5236\u9650\u3055\u308c\u3066\u3044\u308b\u4fe1\u53f7\u3092\u5f62\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u306e\u30d0\u30ea\u30a2\u30f3\u30c8\u306f\u3001\u30a6\u30a7\u30fc\u30d6\u30ec\u30c3\u30c8\u30d1\u30c3\u30b1\u30fc\u30b8\u30c4\u30ea\u30fc\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002 \u30e9\u30c3\u30b7\u30f3\u30b0\u30c1\u30e3\u30cd\u30eb\u3067\u8ee2\u9001\u3057\u307e\u3059 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5b9f\u969b\u306e\u57fa\u672c\u4fe1\u53f7\u306b\u306f\u3001\u5358\u4e00\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3068\u671f\u9593\u3067\u756a\u53f7\u304c\u4ed8\u3051\u3089\u308c\u3066\u3044\u307e\u3059 t \u305d\u306e\u305f\u3081\u3001\u3053\u306e\u671f\u9593\u5185\u306b\u4fee\u6b63\u3055\u308c\u307e\u3057\u305f d = 2wt \u57fa\u672c\u4fe1\u53f7\u306f\u3042\u308a\u307e\u3059\u3002\u4f1d\u9001\u30c1\u30e3\u30cd\u30eb\u306b\u9650\u5b9a\u3055\u308c\u305f\u5747\u4e00\u3067\u9650\u3089\u308c\u305f\u30ce\u30a4\u30ba\u306f\u3001\u7dda\u5f62\u306e\u7d44\u307f\u5408\u308f\u305b\u306b\u3088\u3063\u3066\u5b9f\u884c\u3067\u304d\u307e\u3059 \u2211 n e n g n \uff08 t \uff09\uff09 {displaystyle sum _ {n} varepsilon _ {n} g_ {n}\uff08t\uff09} \u901a\u5e38\u306e\u5206\u6563\u578b\u306e\u72ec\u7acb\u3057\u305f\u30e9\u30f3\u30c0\u30e0\u4fc2\u6570\u3092\u5099\u3048\u305f\u3053\u308c\u3089\u306e\u57fa\u672c\u30d9\u30fc\u30b9\u4fe1\u53f7 e n {displaystyle varepsilon _ {n}} \u5206\u6563 a 2 = n {displaystyle sigma ^{2} = n} \u30b7\u30df\u30e5\u30ec\u30fc\u30c8\u3055\u308c\u307e\u3059\u3002 \u9577\u3055\u306e\u30b3\u30fc\u30c9 d \u3001d\u3002 H.\u30c4\u30fc\u30da\u30eb \u30d0\u30c4 \u521d\u3081 \u3001 &#8230; \u3001 \u30d0\u30c4 d {displaystyle x_ {1}\u3001dots\u3001x_ {d}} \u5b9f\u6570\u306f\u9023\u7d9a\u4fe1\u53f7\u3067\u3059 f \uff08 t \uff09\uff09 = \u30d0\u30c4 \u521d\u3081 g \u521d\u3081 \uff08 t \uff09\uff09 + \u22ef + \u30d0\u30c4 d g d \uff08 t \uff09\uff09 {displaystyle f\uff08t\uff09= x_ {1} g_ {1}\uff08t\uff09 +dots +x_ {d} g_ {d}\uff08t\uff09} \u6295\u7a3f\u3055\u308c\u307e\u3057\u305f\u3002\u30c8\u30e9\u30f3\u30b9\u30df\u30c3\u30b7\u30e7\u30f3\u4e2d\u306b\u3001\u53d7\u4fe1\u3055\u308c\u308b\u969c\u5bb3\u304c\u76f4\u7dda\u7684\u306b\u30aa\u30fc\u30d0\u30fc\u30ec\u30a4\u3055\u308c\u3001\u4e71\u308c\u305f\u4fe1\u53f7\u306f f~\uff08 t \uff09\uff09 = \uff08 \u30d0\u30c4 1+ e 1\uff09\uff09 g 1\uff08 t \uff09\uff09 + \u22ef + \uff08 \u30d0\u30c4 D+ e D\uff09\uff09 g D\uff08 t \uff09\uff09 {displaystyle {tilde {f}}\uff08t\uff09=\uff08x_ {1}+varepsilon _ {1}\uff09g_ {1}\uff08t\uff09+dots+\uff08x_ {d}+varepsilon _ {d}\uff09g_ {d}\uff08t\uff09}\uff08t\uff09} \u3002 \u4fe1\u53f7\u30dd\u30a4\u30f3\u30c8\u306e\u30b8\u30aa\u30e1\u30c8\u30ea [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5e73\u5747\u7684\u306a\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u306e\u4fe1\u53f7\u306b\u306a\u308a\u307e\u3059 p {displaystyle p} \u5236\u9650\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u306f\u632f\u5e45\u56db\u89d2\u306b\u76f4\u63a5\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u6700\u7d42\u7684\u306b\u306f\u7570\u306a\u308b\u30b5\u30fc\u30d3\u30b9\u306e\u6761\u4ef6\u306e\u307f\u304c\u6bd4\u8f03\u3055\u308c\u308b\u305f\u3081\u3001\u3053\u308c\u306f\u8a31\u5bb9\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3055\u3089\u306b\u4e00\u5b9a\u306e\u56e0\u5b50\u304c\u77ed\u7e2e\u3055\u308c\u307e\u3059\u3002\u57fa\u672c\u7684\u306a\u4fe1\u53f7\u306f\u6b63\u53cd\u5bfe\u3067\u3042\u308b\u305f\u3081\u3001\u9023\u7d9a\u4fe1\u53f7\u306b\u306f\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u3068\u3057\u3066\u305d\u306e\u4fc2\u6570\u306e\u6b63\u65b9\u5f62\u304c\u3042\u308a\u307e\u3059\u3002 H. \u2016 f \u2016 2 2 = | \u30d0\u30c4 \u521d\u3081 | 2 + \u22ef + | \u30d0\u30c4 d | 2 = d p {displaystyle | f | _ {2}^{2} = | x_ {1} |^{2} +dots +| x_ {d} |^{2} = dp} \u3002 \u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u30b3\u30fc\u30c9 \uff08 \u30d0\u30c4 \u521d\u3081 \u3001 &#8230; \u3001 \u30d0\u30c4 d \uff09\uff09 {displaystyle\uff08x_ {1}\u3001dots\u3001x_ {d}\uff09} 1\u3064\u306e\u30dd\u30a4\u30f3\u30c8\u3067\u3059 d  &#8211; \u534a\u5f84\u306e\u6b21\u5143\u7403 r 0 \uff1a= d p {displaystyle r_ {0}\uff1a= {sqrt {dp}}} \u3002 \u306e\u6b63\u65b9\u5f62 d \u72ec\u7acb\u3057\u305f\u30a8\u30e9\u30fc \uff08 e \u521d\u3081 \uff09\uff09 2 + \u22ef + \uff08 e d \uff09\uff09 2 {displaystyle\uff08varepsilon _ {1}\uff09^{2} +dots +\uff08varepsilon _ {d}\uff09^{2}} \u591a\u6570\u306e\u6cd5\u5247\u306b\u3088\u308b\u3068\u3001\u3042\u306a\u305f\u306e\u671f\u5f85\u5024\u306b\u8fd1\u3044 \u4f01\u696d \u3002\u53d7\u3051\u53d6\u3063\u305f\u30b3\u30fc\u30c9\u306f\u3001\u7403\u4f53\u5185\u306e\u7403\u4f53\u5185\u306e\u534a\u5f84\u306b\u3042\u308b\u53ef\u80fd\u6027\u304c\u975e\u5e38\u306b\u9ad8\u3044 r \uff1a= d n {displaystyle r\uff1a= {sqrt {dn}}} \u30bb\u30f3\u30bf\u30fc\u3068\u3057\u3066\u30b3\u30fc\u30c9\u304c\u9001\u4fe1\u3055\u308c\u307e\u3059\u3002\u969c\u5bb3\u306f\u4fe1\u53f7\u306b\u4f9d\u5b58\u3057\u306a\u3044\u305f\u3081\u306b\u5fc5\u8981\u3067\u3042\u308b\u305f\u3081\u3001\u53d7\u4fe1\u30b3\u30fc\u30c9\u306e\u6b63\u65b9\u5f62\u306f\u671f\u5f85\u5024\u306b\u8fd1\u3044\u53ef\u80fd\u6027\u304c\u975e\u5e38\u306b\u9ad8\u3044\u3067\u3059 r \u521d\u3081 2 \uff1a= d p + d n {displaystyle r_ {1}^{2}\uff1a= dp+dn} \u3001d\u3002 H.\u534a\u5f84\u306e\u3042\u308b\u7403\u306e\u8fd1\u304f r \u521d\u3081 {displaystyle r_ {1}} \u30bc\u30ed\u30dd\u30a4\u30f3\u30c8\u306e\u5468\u308a\u3002 \u30e9\u30f3\u30c0\u30e0\u69cb\u6210 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u305d\u308c\u306f1\u3064\u3067\u3059 \u69cb\u6210 \u304b\u3089 m = 2 DB \u30e9\u30f3\u30c0\u30e0\u306b\u9078\u629e\u3055\u308c\u305f\u30b3\u30fc\u30c9\u304c\u4e2d\u7a0b\u5ea6\u306e\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u3092\u5099\u3048\u3066\u3044\u307e\u3059 p \u3069\u3061\u3089\u3092\u4fee\u6b63\u3057\u307e\u3057\u305f m \u3055\u307e\u3056\u307e\u306a\u30c7\u30b8\u30bf\u30eb\u30e1\u30c3\u30bb\u30fc\u30b8\u306b\u5bfe\u5fdc\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 H.\u305d\u3046\u306a\u308b d b {displaystyledb} \u306e\u30d3\u30c3\u30c8 d \u57fa\u5e95\u4fe1\u53f7\u307e\u305f\u306f b \u30d3\u30c3\u30c8\u30d7\u30ed\u306e\u57fa\u672c\u4fe1\u53f7\u3002 \u534a\u5f84\u306e\u5c0f\u3055\u306a\u30dc\u30fc\u30eb\u304b\u3089 r = d n {displaystyle r = {sqrt {dn}}} \u6700\u5927\u306f\u3001\u69cb\u6210\u306e\u30b3\u30fc\u30c9\u306b\u9069\u5408\u3057\u307e\u3059 m = R1Dvol\u2061(KD)rDvol\u2061(KD)= (P+NN)D2{displaystyle M = {frac {r_ {1}^{d} operatorname {vol}\uff08k_ {d}\uff09} {r^{d} operatorname {vol}\uff08k_ {d}\uff09}}} =\u5de6\uff08{frac {p+n} {n} {d} {d} {d} {d} \u53d7\u4fe1\u4fe1\u53f7\u306e\u5927\u304d\u306a\u30dc\u30fc\u30eb\u306e\u30d4\u30fc\u30b9\u3001\u3064\u307e\u308aH.\u6700\u5927\u30d3\u30c3\u30c8\u30ec\u30fc\u30c8\u304c\u9069\u7528\u3055\u308c\u307e\u3059\uff08\u3067 d\/2 = wt \uff09\uff09 2 \u306e b = log2\u2061(M)T\u2264 \u306e \u30ed\u30b0 2\u2061 \uff08 1+PN\uff09\uff09 {displaystyle 2wb = {frac {log _ {2}\uff08m\uff09} {t}} leq wlog _ {2}\u5de6\uff081+ {frac {p} {n}}\u53f3\uff09} \u3002 \u4f1d\u9001\u30a8\u30e9\u30fc\u306e\u63a8\u5b9a [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u975e\u5e38\u306b\u5927\u304d\u3044 d \u9001\u4fe1\u30b3\u30fc\u30c9\u306f\u3001\u534a\u5f84\u306e\u3042\u308b\u30dc\u30fc\u30eb\u4e0a\u306b\u3042\u308a\u307e\u3059 r 0 = d p {displaystyle r_ {0} = {sqrt {dp}}} \u305d\u3057\u3066\u3001\u53d7\u3051\u53d6\u3063\u305f\u30b3\u30fc\u30c9\u306f\u3001\u534a\u5f84\u306e\u3042\u308b\u30dc\u30fc\u30eb\u306b\u3042\u308b\u53ef\u80fd\u6027\u304c\u6700\u3082\u9ad8\u3044 r = d n {displaystyle r = {sqrt {dn}}} \u3053\u308c\u306b\u3001\u305d\u3057\u3066\u534a\u5f84\u3067\u30dc\u30fc\u30eb\u306b r 0 = d \uff08 p + n \uff09\uff09 {displaystyle r_ {0} = {sqrt {d\uff08p+n\uff09}}}} \u3002\u305d\u306e\u305f\u3081\u3001\u53d7\u4fe1\u3057\u305f\u30b3\u30fc\u30c9\u3092\u69cb\u6210\u306e\u3059\u3079\u3066\u306e\u30b3\u30fc\u30c9\u3068\u6bd4\u8f03\u3057\u3066\u3001\u8ddd\u96e2\u304c\u5c0f\u3055\u3044\u3082\u306e\u3092\u6c7a\u5b9a\u3067\u304d\u307e\u3059\u3002 r \u3082\u3063\u3066\u3044\u308b\u3002 \u534a\u5f84\u306e\u65ad\u5c64\u306e\u30dc\u30fc\u30eb r \u53d7\u4fe1\u3057\u305f\u30b3\u30fc\u30c9\u306e\u9818\u57df\u306e\u4e2d\u5fc3\u3067\u30011\u3064\u3092\u8986\u3057\u307e\u3059 \u30a8\u30ea\u30a2 \u9001\u4fe1\u30b3\u30fc\u30c9\u306e\u9818\u57df\u3067\u306f\u3001\u534a\u5f84\u306e\u3042\u308b\u7403\u4f53\u5185\u3067\u9806\u756a\u306b h = DNPN+P{displaystyle h = {sqrt {frac {dnp} {n+p}}}}}} \u5618\u3002\u30e9\u30f3\u30c0\u30e0\u30b3\u30fc\u30c9\u304c\u3053\u306e\u9818\u57df\u306e\u5916\u5074\u306b\u3042\u308b\u78ba\u7387\u306f\u3088\u308a\u5927\u304d\u3044 \u521d\u3081  &#8211;  hDvol\u2061(KD)R0Dvol\u2061(KD)= \u521d\u3081  &#8211;  (NP+N)D2{displaystyle 1-{frac {h^{D}operatorname {vol} (K_{D})}{R_{0}^{D}operatorname {vol} (K_{D})}}=1-left({frac {N}{P+N}}right)^{frac {D}{2}}} \u3002 \u305d\u308c\u3059\u3079\u3066 M-1 \u9001\u4fe1\u3055\u308c\u305f\u30b3\u30fc\u30c9\u306e\u9001\u4fe1\u30b3\u30fc\u30c9\u306e\u69cb\u6210\u306e\u69cb\u6210\u306f\u3001\u3053\u306e\u9818\u57df\u306e\u5916\u5074\u306b\u3042\u308b\u305f\u3081\u3001\u3088\u308a\u5927\u304d\u3044\u78ba\u7387\u304c\u3042\u308a\u307e\u3059 (1\u2212(NP+N)D2)M\u22121\u2265 \u521d\u3081  &#8211;  m (NP+N)D2{displaystyle\u5de6\uff081-left\uff08{frac {n} {p+n}}\u53f3\uff09^{frac {d} {2}}\u53f3\uff09^{m-1} geq 1-left\uff08{frac {n} {p+n}}\u53f3\uff09^{frac {d} {2}}}} \u3002 \u30a8\u30e9\u30fc\u306e\u53ef\u80fd\u6027\u304c\u5fc5\u8981\u3067\u3059 \u305d\u3046\u3067\u3059 \u4e0b\u306b\u843d\u3061\u308b\u3001\u3064\u307e\u308aH.\u4e0a\u8a18\u306e\u8868\u73fe\u3088\u308a\u3082\u5927\u304d\u3044 1 -e \u3057\u305f\u304c\u3063\u3066\u3001\u30d3\u30c3\u30c8\u30ec\u30fc\u30c8\u3092\u5909\u66f4\u3057\u305f\u5f8c\u306b\u53d6\u5f97\u3057\u307e\u3059 log2\u2061(M)T\u2264 \u306e \u30ed\u30b0 2\u2061 \uff08 1+PN\uff09\uff09 + log2\u2061(e)T{displaystyle {frac {log _ {2}\uff08m\uff09} {t} {t}} leq wlog _ {2}\u5de6\uff081+ {frac {p} {n}}\u53f3\uff09+{frac {log _ {2}\uff08e\uff09} {t}}}}}} \u3002 \u30ed\u30b0 2 \u2061 \uff08 \u305d\u3046\u3067\u3059 \uff09\uff09 {displaystyle log _ {2}\uff08e\uff09} 2\u756a\u76ee\u306esummand\u3067\u306f\u8ca0\u3067\u975e\u5e38\u306b\u5927\u304d\u3044\u3067\u3059\u304c\u30012\u756a\u76ee\u306esummand\u306e\u5bc4\u4e0e\u306f\u3001\u671f\u9593\u304c\u3042\u308b\u5834\u5408\u306f\u671b\u307e\u3057\u3044\u3068\u304a\u308a\u306b\u8a2d\u8a08\u3067\u304d\u307e\u3059\u3002 t \u305d\u3057\u3066\u305d\u308c\u3067\u539a\u3055 m \u69cb\u6210\u306f\u5341\u5206\u306b\u5927\u304d\u3044\u3067\u3059\u3002 \u69cb\u6210\u5185\u306e\u4fe1\u53f7\u306e\u9577\u3055\u304c\u5897\u3048\u3066\u3044\u308b\u305f\u3081\u3001\u5fc5\u8981\u306b\u5fdc\u3058\u3066\u7406\u60f3\u7684\u306a\u30d3\u30c3\u30c8\u30ec\u30fc\u30c8\u3092\u5c0e\u5165\u3067\u304d\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u69cb\u6210\u306e\u7ba1\u7406\u3068\u76f4\u63a5\u7684\u306a\u5b9f\u7528\u7684\u306a\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3078\u306e\u6700\u826f\u306e\u985e\u4f3c\u306e\u4fe1\u53f7\u3092\u691c\u7d22\u3059\u308b\u3068\u3001\u6025\u901f\u306b\u5897\u52a0\u3059\u308b\u8981\u4ef6\u304c\u5bfe\u7167\u7684\u3067\u3059\u3002 \u30b8\u30e7\u30f3\u30fbG\u30fb\u30d7\u30ed\u30a2\u30ad\u30b9\u3001\u30de\u30bd\u30a6\u30c9\u30fb\u30b5\u30ec\u30d2\uff1a \u901a\u4fe1\u30b7\u30b9\u30c6\u30e0\u30a8\u30f3\u30b8\u30cb\u30a2\u30ea\u30f3\u30b0 \u3002\u7b2c2\u7248\u200b\u200b\u3002 Prentice Hall\u3001Saddle River NJ 2002\u3001ISBN 0-13-095007-6\u3002  \u2191  \u30e9\u30eb\u30d5V. L.\u30cf\u30fc\u30c8\u30ea\u30fc\uff1a \u60c5\u5831\u306e\u9001\u4fe1 \u3002 Bell System Technical Journal\u30011928\uff08 dotrose.com [PDF]\uff09\u3002   \u2191  \u30af\u30ed\u30fc\u30c9E.\u30b7\u30e3\u30ce\u30f3\uff1a \u30b3\u30df\u30e5\u30cb\u30b1\u30fc\u30b7\u30e7\u30f3\u306e\u6570\u5b66\u7406\u8ad6 \u3002\u30a4\u30ea\u30ce\u30a4\u5927\u5b66\u51fa\u7248\u5c40\u30011949\u5e74\u3002   \u2191  \u30b8\u30e7\u30f3\u30fbG\u30fb\u30d7\u30ed\u30a2\u30ad\u30b9\u3001\u30de\u30bd\u30a6\u30c9\u30fb\u30b5\u30ec\u30d2\uff1a \u901a\u4fe1\u30b7\u30b9\u30c6\u30e0\u30a8\u30f3\u30b8\u30cb\u30a2\u30ea\u30f3\u30b0 \u3002\u7b2c2\u7248\u200b\u200b\u3002 Pearson Education International\u3001ISBN 0-13-095007-6\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/13747#breadcrumbitem","name":"Shannon-Hartley-Gesetz-Wikipedia"}}]}]