[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/22134#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/22134","headline":"Hartley-Transformation  – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"Hartley-Transformation  – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 \u30cf\u30fc\u30c8\u30ea\u30fc\u5909\u63db \u3001\u7701\u7565 ht \u3001\u6a5f\u80fd\u5206\u6790 – \u6570\u5b66\u306e\u30b5\u30d6\u30a8\u30ea\u30a2 – \u30d5\u30fc\u30ea\u30a8\u5909\u63db\u3092\u53c2\u7167\u3057\u305f\u7dda\u5f62\u7a4d\u5206\u5909\u63db\u3067\u3042\u308a\u3001\u3053\u306e\u3088\u3046\u306b\u5468\u6ce2\u6570\u5909\u63db\u3067\u3059\u3002\u8907\u96d1\u306a\u30d5\u30fc\u30ea\u30a8\u5909\u63db\u3068\u306f\u5bfe\u7167\u7684\u306b\u3001\u30cf\u30fc\u30c8\u30ea\u30fc\u306e\u5909\u63db\u306f\u672c\u5f53\u306e\u5909\u63db\u3067\u3059\u3002\u5f7c\u5973\u306f1942\u5e74\u306b\u305d\u308c\u3092\u767a\u8868\u3057\u305f\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] after-content-x4 Hartley\u306e\u5909\u63db\u306f\u3001\u30c7\u30b8\u30bf\u30eb\u4fe1\u53f7\u51e6\u7406\u3068\u753b\u50cf\u51e6\u7406\u3067\u4f7f\u7528\u3055\u308c\u308b\u96e2\u6563\u5f62\u5f0f\u3001\u96e2\u6563Hartley Transformation\u3001\u77ed\u7e2eDHT\u306b\u3082\u5b58\u5728\u3057\u307e\u3059\u3002\u3053\u306e\u30d5\u30a9\u30fc\u30e0\u306f\u30011994\u5e74\u306bR.N. Bracewell\u306b\u3088\u3063\u3066\u516c\u958b\u3055\u308c\u307e\u3057\u305f\u3002 [2] \u95a2\u6570\u306e\u30cf\u30fc\u30c8\u30ea\u30fc\u5909\u63db f \uff08 t \uff09","datePublished":"2020-11-19","dateModified":"2020-11-19","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\/00707ef7118c86cee30cf9943eb8d2b01b5937cd","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/00707ef7118c86cee30cf9943eb8d2b01b5937cd","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/22134","wordCount":3562,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 \u30cf\u30fc\u30c8\u30ea\u30fc\u5909\u63db \u3001\u7701\u7565 ht \u3001\u6a5f\u80fd\u5206\u6790 – \u6570\u5b66\u306e\u30b5\u30d6\u30a8\u30ea\u30a2 – \u30d5\u30fc\u30ea\u30a8\u5909\u63db\u3092\u53c2\u7167\u3057\u305f\u7dda\u5f62\u7a4d\u5206\u5909\u63db\u3067\u3042\u308a\u3001\u3053\u306e\u3088\u3046\u306b\u5468\u6ce2\u6570\u5909\u63db\u3067\u3059\u3002\u8907\u96d1\u306a\u30d5\u30fc\u30ea\u30a8\u5909\u63db\u3068\u306f\u5bfe\u7167\u7684\u306b\u3001\u30cf\u30fc\u30c8\u30ea\u30fc\u306e\u5909\u63db\u306f\u672c\u5f53\u306e\u5909\u63db\u3067\u3059\u3002\u5f7c\u5973\u306f1942\u5e74\u306b\u305d\u308c\u3092\u767a\u8868\u3057\u305f\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]        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4Hartley\u306e\u5909\u63db\u306f\u3001\u30c7\u30b8\u30bf\u30eb\u4fe1\u53f7\u51e6\u7406\u3068\u753b\u50cf\u51e6\u7406\u3067\u4f7f\u7528\u3055\u308c\u308b\u96e2\u6563\u5f62\u5f0f\u3001\u96e2\u6563Hartley Transformation\u3001\u77ed\u7e2eDHT\u306b\u3082\u5b58\u5728\u3057\u307e\u3059\u3002\u3053\u306e\u30d5\u30a9\u30fc\u30e0\u306f\u30011994\u5e74\u306bR.N. Bracewell\u306b\u3088\u3063\u3066\u516c\u958b\u3055\u308c\u307e\u3057\u305f\u3002 [2] \u95a2\u6570\u306e\u30cf\u30fc\u30c8\u30ea\u30fc\u5909\u63db f \uff08 t \uff09 \u3068\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u308b\uff1a        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4h \uff08 \u304a\u304a \uff09\uff09 = H\uff08 f \uff09\uff09 \uff08 \u304a\u304a \uff09\uff09 = 12\u03c0\u222b\u2212\u221e\u221ef \uff08 t \uff09\uff09 cas\uff08 \u304a\u304a t \uff09\uff09 dt {displaystyle h\uff08omega\uff09= {mathcal {h}}\uff08f\uff09\uff08omega\uff09= {frac {1} {sqrt {2pi}}} int _ { –  infty}^{infty} f\uff08t\uff09\u3001{mox} {cas} {d}\uff08omega t\uff09}\uff08omega t\uff09}\uff08omega t\uff09 \u5186\u5f62\u5468\u6ce2\u6570\u03c9\u3068\u7565\u8a9e\u3067\uff1a cas\uff08 t \uff09\uff09 = cos \u2061 \uff08 t \uff09\uff09 + \u7f6a \u2061 \uff08 t \uff09\uff09 = 2\u7f6a \u2061 \uff08 t + pi \/4 \uff09\uff09 = 2cos \u2061 \uff08 t  –  pi \/4 \uff09\uff09 {displaystyle {mbox {cas}}\uff08t\uff09= cos\uff08t\uff09+sin\uff08t\uff09= {sqrt {2}} sin\uff08t+pi \/4\uff09= {sqrt {2}} cos\uff08t-pi \/4\uff09}} \u300c\u30cf\u30fc\u30c8\u30ea\u30fc\u30b3\u30a2\u300d\u3068\u547c\u3070\u308c\u307e\u3059\u3002 \u8981\u56e0\u306b\u95a2\u3059\u308b\u6587\u732e\u306b\u3082\u8981\u56e0\u304c\u3042\u308a\u307e\u3059        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x412\u03c0{displaystyle {tfrac {1} {sqrt {2pi}}}}} \u3053\u306e\u8981\u56e0\u3092\u6a19\u6e96\u5316\u3059\u308b\u3055\u307e\u3056\u307e\u306a\u5b9a\u7fa9\u3068\u9006\u30cf\u30fc\u30c8\u30ea\u30fc\u5909\u63db\u306e\u8981\u56e0 12\u03c0{displaystyle {tfrac {1} {2pi}}} \u73fe\u308c\u308b\u3002 \u4e0a\u8a18\u306e\u5b9a\u7fa9\u306b\u3088\u308c\u3070\u3001\u30cf\u30fc\u30c8\u30ea\u30fc\u306e\u5909\u63db\u306f\u305d\u308c\u81ea\u4f53\u306b\u9006\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u305d\u308c\u306f\u95a2\u4e0e\u3059\u308b\u5909\u63db\u3067\u3059\u3002 f = H\uff08 H\uff08 f \uff09\uff09 \uff09\uff09 {displaystyle f = {mathcal {h}}\uff08{mathcal {h}}\uff08f\uff09\uff09}\uff08{mathcal {h}}\uff08f\uff09} \u30d5\u30fc\u30ea\u30a8\u5909\u63db f \uff08 \u304a\u304a \uff09\uff09 = F\uff08 f \uff09\uff09 \uff08 \u304a\u304a \uff09\uff09 {displaystyle f\uff08omega\uff09= {mathcal {f}}\uff08f\uff09\uff08omega\uff09} \u305d\u306e\u8907\u96d1\u306a\u30b3\u30a2\u3092\u901a\u3057\u3066\u9038\u8131\u3057\u307e\u3059\uff1a exp \u2061 (\u2212i\u03c9t)= cos \u2061 \uff08 \u304a\u304a t \uff09\uff09  –  i\u7f6a \u2061 \uff08 \u304a\u304a t \uff09\uff09 {displaystyle exp Left\uff08{-mathrm {i} omega t}\u53f3\uff09= cos\uff08omega t\uff09-mathrm {i} sin\uff08omega t\uff09} \u60f3\u50cf\u4e0a\u306e\u30e6\u30cb\u30c3\u30c8\u3067 \u79c1 {displaystyle mathrm {i}} \u7d14\u7c8b\u306b\u672c\u7269\u306e\u30b3\u30a2\u304b\u3089 CAS \u2061 \uff08 \u304a\u304a t \uff09\uff09 {displaystyle operatorname {cas}\uff08omega t\uff09} \u30cf\u30fc\u30c8\u30ea\u30fc\u5909\u63db\u3002\u6b63\u898f\u5316\u4fc2\u6570\u304c\u9078\u629e\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001\u30d5\u30fc\u30ea\u30a8\u5909\u63db\u306f\u30cf\u30fc\u30c8\u30ea\u30fc\u5909\u63db\u304b\u3089\u76f4\u63a5\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002 f \uff08 \u304a\u304a \uff09\uff09 = 2\u03c0(H(\u03c9)+H(\u2212\u03c9)2\u2212iH(\u03c9)\u2212H(\u2212\u03c9)2){displaystyle f\uff08omega\uff09= {color {darkred} {sqrt {2pi}}}\u5de6\uff08{frac {h\uff08omega\uff09+h\uff08-omega\uff09} {2}}  –  mathrm {i} {frac {h\uff08omega\uff09-h\uff08omega\uff09-h\uff08-omega\uff09}}}}} \u8d64\u3044\u88dc\u6b63\u4fc2\u6570 2\u03c0{displaystyle {sqrt {2pi}}} \u4e0a\u8a18\u306e\u4ee3\u66ff\u5b9a\u7fa9\u3092\u4f7f\u7528\u305b\u305a\u306b\u4f7f\u7528\u3059\u308b\u3068\u3001\u3053\u3053\u3067\u6d88\u3048\u307e\u3059 12\u03c0{displaystyle {frac {1} {sqrt {2pi}}}}}  \u30d5\u30fc\u30ea\u30a8\u5909\u63db\u306e\u5b9f\u969b\u306e\u90e8\u5206\u307e\u305f\u306f\u60f3\u50cf\u4e0a\u306e\u90e8\u5206\u306f\u3001Hartley Transformation\u306e\u30b9\u30c8\u30ec\u30fc\u30c8\u3068\u5947\u5999\u306a\u30b7\u30a7\u30a2\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u307e\u3059\u3002 \u300c\u30cf\u30fc\u30c8\u30ea\u30fc\u30fb\u30ab\u30fc\u30f3\u300d\u306e\u305f\u3081\u306b cas\uff08 t \uff09\uff09 {displaystyle {mbox {cas}}\uff08t\uff09} \u6b21\u306e\u95a2\u4fc2\u306f\u3001\u4e09\u89d2\u95a2\u6570\u304b\u3089\u5c0e\u304d\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u8ffd\u52a0\u5b9a\u7406\uff1a 2 cas\uff08 a + b \uff09\uff09 = cas\uff08 a \uff09\uff09 cas\uff08 b \uff09\uff09 + cas\uff08  –  a \uff09\uff09 cas\uff08 b \uff09\uff09 + cas\uff08 a \uff09\uff09 cas\uff08  –  b \uff09\uff09  –  cas\uff08  –  a \uff09\uff09 cas\uff08  –  b \uff09\uff09 {displaystyle 2 {mbox {cas}}\uff08a+b\uff09= {mbox {cas}}\uff08a\uff09{mbox {cas}}\uff08b\uff09+{mbox {cas}}\uff08 –  a\uff09{mbox {cas}}\uff08b\uff09+{mbox} {mbox}}\uff08mbox}\uff08a\uff09\uff08a\uff09\uff08a\uff09\uff08a\uff09\uff08a\uff09\uff08a\uff09\uff08a\uff09\uff08a\uff09 }\uff08-a\uff09{mbox {cas}}\uff08 –  b\uff09\u3001} \u3068 cas\uff08 a + b \uff09\uff09 = cos \u2061 \uff08 a \uff09\uff09 cas\uff08 b \uff09\uff09 + \u7f6a \u2061 \uff08 a \uff09\uff09 cas\uff08  –  b \uff09\uff09 = cos \u2061 \uff08 b \uff09\uff09 cas\uff08 a \uff09\uff09 + \u7f6a \u2061 \uff08 b \uff09\uff09 cas\uff08  –  a \uff09\uff09 {displaystyle {mbox {cas}}\uff08a+b\uff09= cos\uff08a\uff09{mbox {cas}}\uff08b\uff09+sin\uff08a\uff09{mbox {cas}}\uff08 –  b\uff09= cos\uff08b\uff09{mbox {cas}}\uff08a\uff09+sin\uff08b\uff09{mbox}\uff08a\uff09\uff08a\uff09 \u6d3e\u751f\u306f\u6b21\u306e\u3088\u3046\u306b\u4e0e\u3048\u3089\u308c\u307e\u3059\uff1a d cas(a)d\u00a0a= cos \u2061 \uff08 a \uff09\uff09  –  \u7f6a \u2061 \uff08 a \uff09\uff09 = cas\uff08  –  a \uff09\uff09 {displaystyle {frac {{mbox {d cas}}\uff08a\uff09} {{mbox {d}} a}} = cos\uff08a\uff09-sin\uff08a\uff09= {mbox {cas}}\uff08-a\uff09}}} \u2191  \u30e9\u30eb\u30d5\u30fb\u30cf\u30fc\u30c8\u30ea\u30fc\uff1a \u4f1d\u9001\u554f\u984c\u306b\u9069\u7528\u3055\u308c\u308b\u3001\u3088\u308a\u5bfe\u79f0\u7684\u306a\u30d5\u30fc\u30ea\u30a8\u5206\u6790 \u3002 In\uff1a\u30e9\u30b8\u30aa\u30a8\u30f3\u30b8\u30cb\u30a2\u7814\u7a76\u6240\uff08HRSG\u3002\uff09\uff1a \u6012\u308a\u306e\u8b70\u4e8b\u9332 \u3002 \u30d0\u30f3\u30c9  30 \u3001 \u3044\u3044\u3048\u3002  3 \u30011942\u5e743\u6708\u3001ISSN 0096-8390 \u3001 S.  144\u2013150 \uff08\u82f1\u8a9e\u3001 IEEE Xplore\u30c7\u30b8\u30bf\u30eb\u30e9\u30a4\u30d6\u30e9\u30ea [2010\u5e748\u670825\u65e5\u306b\u30a2\u30af\u30bb\u30b9]\uff09\u3002   \u2191  R.N. Bracewell\uff1a \u30cf\u30fc\u30c8\u30ea\u30fc\u5909\u9769\u306e\u5074\u9762 \u3002\u306e\uff1a \u6012\u308a\u306e\u8b70\u4e8b\u9332 \u3002 \u3044\u3044\u3048\u3002  82\uff083\uff09 \u30011994\u3001doi\uff1a 10,1109\/5.272142 \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\/22134#breadcrumbitem","name":"Hartley-Transformation  – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2"}}]}]