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\u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u89e3\u6790\u306f\u3001\u57fa\u672c\u7684\u306b 2 \u3064\u306e\u65b9\u6cd5\u3067\u5b9f\u88c5\u3067\u304d\u307e\u3059.FFT \u30d3\u30cb\u30f3\u30b0(PSD\uff0fFFT \u30d3\u30f3\u3092 1\/1 \u304a\u3088\u3073 1\/3 \u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u306b\u7d71\u5408\u3059\u308b\u65b9\u6cd5)\u3068\u3001\u771f\u306e\u30aa\u30af\u30bf\u30fc\u30d6\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af(\u898f\u683c\u6e96\u62e0\u5fd7\u5411\u306e\u30d0\u30f3\u30c9\u30d1\u30b9\u30d5\u30a3\u30eb\u30bf + RMS\uff0fLeq \u5e73\u5747\u5316)\u3067\u3059. \u672c\u8a18\u4e8b\u3067\u306f\u30012 \u3064\u306e\u624b\u6cd5\u306e\u52d5\u4f5c\u539f\u7406\u3001\u305d\u308c\u305e\u308c\u306e\u7d50\u679c\u304c\u4e00\u81f4\u3059\u308b\u6761\u4ef6\u3001\u5dee\u7570\u304c\u751f\u3058\u308b\u30dd\u30a4\u30f3\u30c8(\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3001\u7a93 ENBW\u3001\u30d0\u30f3\u30c9\u7aef\u3067\u306e\u91cd\u307f\u4ed8\u3051\u3001\u30ec\u30a4\u30c6\u30f3\u30b7\u3001\u904e\u6e21\u5fdc\u7b54)\u3001\u305d\u3057\u3066 OpenTest \u304c\u97f3\u97ff\u30fbNVH\u30fb\u898f\u683c\u9069\u5408\u6e2c\u5b9a\u306e\u305f\u3081\u306b\u4e21\u65b9\u5f0f\u3092\u3069\u306e\u3088\u3046\u306b\u30b5\u30dd\u30fc\u30c8\u3057\u3066\u3044\u308b\u304b\u3092\u6bd4\u8f03\u3057\u307e\u3059.<\/p>\n\n

\u6982\u5ff5\u306e\u8a73\u7d30\u306a\u8aac\u660e\u306b\u3064\u3044\u3066\u306f\u3001\u3053\u3061\u3089\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044 \u2192 \u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u89e3\u6790:\u6570\u5b66\u7684\u304a\u3088\u3073\u5de5\u5b66\u7684\u6839\u62e0<\/a><\/p>\n\n

\u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af(\u771f\u306e\u30aa\u30af\u30bf\u30fc\u30d6\uff0fCPB \u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af)<\/strong><\/h2>\n\n
\u4e26\u5217\u30d0\u30f3\u30c9\u30d1\u30b9\u30d5\u30a3\u30eb\u30bf + \u30a8\u30cd\u30eb\u30ae\u691c\u51fa\u5668 + \u6642\u9593\u5e73\u5747<\/strong><\/h3>\n\n
\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af(\u771f\u306e\u30aa\u30af\u30bf\u30fc\u30d6)\u30a2\u30ca\u30e9\u30a4\u30b6\u306f\u901a\u5e38\u3001\u6b21\u306e\u3088\u3046\u306b\u52d5\u4f5c\u3057\u307e\u3059:<\/p>\n\n
\n
\u5404\u30d0\u30f3\u30c9\u306e\u4e2d\u5fc3\u5468\u6ce2\u6570\u3054\u3068\u306b\u3001\u30d0\u30f3\u30c9\u30d1\u30b9\u30d5\u30a3\u30eb\u30bf H_b(z)(\u307e\u305f\u306f H_b(s))\u3092\u8a2d\u8a08\u3059\u308b.<\/li>\n\n\n\n
\u30d5\u30a3\u30eb\u30bf\u3092\u4e26\u5217\u306b\u52d5\u4f5c\u3055\u305b\u3066\u3001\u30d0\u30f3\u30c9\u4fe1\u53f7 y_b(t) \u3092\u53d6\u5f97\u3059\u308b.<\/li>\n\n\n\n
\u5404\u30d0\u30f3\u30c9\u306e\u5e73\u5747\u4e8c\u4e57\u5024\uff0f\u96fb\u529b\u3092\u8a08\u7b97\u3057\u3001\u6642\u9593\u5e73\u5747\u3092\u9069\u7528\u3057\u3066\u30d0\u30f3\u30c9\u30ec\u30d9\u30eb\u3092\u51fa\u529b\u3059\u308b.<\/li>\n<\/ol>\n\n
\u6a5f\u5668\u9593\u3067\u7d50\u679c\u3092\u6bd4\u8f03\u53ef\u80fd\u306b\u3059\u308b\u306b\u306f\u3001\u6307\u5b9a\u3055\u308c\u305f\u30d5\u30a3\u30eb\u30bf\u30bb\u30c3\u30c8\u306b\u3064\u3044\u3066\u3001\u30d5\u30a3\u30eb\u30bf\u306e\u632f\u5e45\u7279\u6027\u304c IEC\uff0fANSI \u306e\u8a31\u5bb9\u30de\u30b9\u30af(\u30af\u30e9\u30b9)\u3092\u6e80\u8db3\u3057\u3066\u3044\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093. [1][3]<\/p>\n\n
IIR vs FIR:\u5b9f\u52d9\u3067 IIR(\u30ab\u30b9\u30b1\u30fc\u30c9\u63a5\u7d9a\u306e\u30d0\u30a4\u30af\u30a2\u30c3\u30c9)\u304c\u4e00\u822c\u7684\u306a\u7406\u7531<\/strong><\/h3>\n\n
\n
IIR \u306e\u5229\u70b9:\u6240\u671b\u306e\u30ed\u30fc\u30eb\u30aa\u30d5\u306b\u5bfe\u3057\u3066\u6b21\u6570\u3092\u4f4e\u304f\u6291\u3048\u3089\u308c\u308b\u3001\u8a08\u7b97\u91cf\u304c\u5c11\u306a\u3044\u3001\u30ea\u30a2\u30eb\u30bf\u30a4\u30e0\uff0f\u7d44\u307f\u8fbc\u307f\u7528\u9014\u306b\u9069\u3059\u308b\u3001SOS\uff0f\u30d0\u30a4\u30af\u30a2\u30c3\u30c9\u3068\u3057\u3066\u5b9f\u88c5\u3059\u308c\u3070\u6570\u5024\u7684\u306b\u5b89\u5b9a\u3057\u3084\u3059\u3044.<\/li>\n\n\n\n
FIR \u306e\u5229\u70b9:\u7dda\u5f62\u4f4d\u76f8\u304c\u5b9f\u73fe\u53ef\u80fd(\u6ce2\u5f62\u5f62\u72b6\u304c\u91cd\u8981\u306a\u5834\u5408\u306b\u6709\u7528);\u8a2d\u8a08\u30fb\u691c\u8a3c\u304c\u3088\u308a\u6271\u3044\u3084\u3059\u3044\u5834\u5408\u304c\u3042\u308b.<\/li>\n<\/ul>\n\n
\u30d0\u30f3\u30c9\u30ec\u30d9\u30eb\u51fa\u529b\u3067\u306f\u4f4d\u76f8\u306f\u901a\u5e38\u4e3b\u306a\u95a2\u5fc3\u4e8b\u3067\u306f\u306a\u3044\u305f\u3081\u3001IIR \u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u304c\u4e00\u822c\u7684\u3067\u3059.<\/p>\n\n
\u30de\u30eb\u30c1\u30ec\u30fc\u30c8\u51e6\u7406:CPB \u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u306e\u300c\u79d8\u5bc6\u5175\u5668\u300d<\/strong><\/h3>\n\n
\u4f4e\u5468\u6ce2\u6570\u5074\u306e CPB \u30d0\u30f3\u30c9\u306f\u975e\u5e38\u306b\u5e2f\u57df\u304c\u72ed\u304f\u306a\u308a\u307e\u3059. \u305d\u308c\u3089\u3092\u5143\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5468\u6ce2\u6570\u306e\u307e\u307e\u5b9f\u88c5\u3059\u308b\u306e\u306f\u975e\u52b9\u7387\u3067\u3059. \u4e00\u822c\u7684\u306a\u6226\u7565\u3068\u3057\u3066\u3001\u30d0\u30f3\u30c9\u3092\u30aa\u30af\u30bf\u30fc\u30d6\u3054\u3068\u306b\u30b0\u30eb\u30fc\u30d7\u5316\u3057\u3001\u4f4e\u5468\u6ce2\u6570\u30b0\u30eb\u30fc\u30d7\u306b\u3064\u3044\u3066\u30c0\u30a6\u30f3\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3092\u884c\u3044\u307e\u3059:<\/p>\n\n
\n
\u4f4e\u5468\u6ce2\u6570\u30b0\u30eb\u30fc\u30d7\u306b\u3064\u3044\u3066\u3001\u30ed\u30fc\u30d1\u30b9\u30d5\u30a3\u30eb\u30bf\u5f8c\u306b\u30c7\u30b7\u30e1\u30fc\u30b7\u30e7\u30f3(\u4f8b:\u30aa\u30af\u30bf\u30fc\u30d6\u3054\u3068\u306b 2 \u500d\u306e\u9593\u5f15\u304d)\u3092\u884c\u3046.<\/li>\n\n\n\n
\u5bfe\u5fdc\u3059\u308b\u30d0\u30f3\u30c9\u30d1\u30b9\u30d5\u30a3\u30eb\u30bf\u3092\u3001\u4f4e\u6e1b\u3057\u305f\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5468\u6ce2\u6570\u3067\u5b9f\u88c5\u3059\u308b.<\/li>\n\n\n\n
\u30c7\u30b7\u30e1\u30fc\u30b7\u30e7\u30f3\u306e\u524d\u306b\u5341\u5206\u306a\u30a2\u30f3\u30c1\u30a8\u30a4\u30ea\u30a2\u30b7\u30f3\u30b0\u3092\u78ba\u4fdd\u3059\u308b.<\/li>\n<\/ul>\n\n
\u6642\u9593\u5e73\u5747\uff0f\u6642\u9593\u91cd\u307f\u4ed8\u3051:\u30d0\u30f3\u30c9\u30ec\u30d9\u30eb\u306f\u7d71\u8a08\u91cf\u3067\u3042\u308a\u3001\u77ac\u6642\u5024\u3067\u306f\u306a\u3044<\/strong><\/h3>\n\n
\u30d0\u30f3\u30c9\u30ec\u30d9\u30eb\u306f\u901a\u5e38\u3001\u6642\u9593\u5e73\u5747\u3092\u5fc5\u8981\u3068\u3057\u307e\u3059. \u4e00\u822c\u7684\u306a\u624b\u6cd5\u3068\u3057\u3066\u3001\u30d6\u30ed\u30c3\u30af RMS\u3001\u6307\u6570\u79fb\u52d5\u5e73\u5747\u3001Leq(\u30a8\u30cd\u30eb\u30ae\u7b49\u4fa1\u30ec\u30d9\u30eb)\u306a\u3069\u304c\u3042\u308a\u307e\u3059. \u9a12\u97f3\u8a08\u306e\u6587\u8108\u3067\u306f\u3001IEC 61672-1 \u304c Fast\uff0fSlow \u306e\u6642\u9593\u91cd\u307f\u4ed8\u3051(Fast \u7d04 125 ms\u3001Slow \u7d04 1 s)\u3092\u5b9a\u7fa9\u3057\u3066\u3044\u307e\u3059. [5][6]<\/p>\n\n
\u5de5\u5b66\u7684\u542b\u610f:\u6642\u9593\u5b9a\u6570\u304c\u7570\u306a\u308c\u3070\u6307\u793a\u5024\u3082\u7570\u306a\u308b\u305f\u3081\u3001\u5831\u544a\u66f8\u306b\u306f\u6642\u9593\u91cd\u307f\u4ed8\u3051\u3092\u660e\u8a18\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059.<\/p>\n\n
\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u304c\u300c\u898f\u683c\u3069\u304a\u308a\u300d\u306b\u52d5\u4f5c\u3057\u3066\u3044\u308b\u304b\u3092\u691c\u8a3c\u3059\u308b\u65b9\u6cd5<\/strong><\/h3>\n\n
\n
\u30b5\u30a4\u30f3\u30b9\u30a4\u30fc\u30d7:\u901a\u904e\u5e2f\u57df\u7279\u6027\u3068\u96a3\u63a5\u30d0\u30f3\u30c9\u306e\u5206\u96e2\u3092\u78ba\u8a8d\u3057\u3001\u6642\u9593\u9045\u5ef6\u306e\u5f71\u97ff\u3092\u89b3\u5bdf\u3059\u308b.<\/li>\n\n\n\n
\u30d4\u30f3\u30af\u30ce\u30a4\u30ba\uff0f\u30db\u30ef\u30a4\u30c8\u30ce\u30a4\u30ba:\u5e73\u5747\u30d0\u30f3\u30c9\u30ec\u30d9\u30eb\u3068\u5206\u6563\uff0f\u5b89\u5b9a\u5316\u6642\u9593\u3092\u78ba\u8a8d\u3057\u3001\u6709\u52b9\u5e2f\u57df\u5e45\u306e\u6319\u52d5\u3092\u30c1\u30a7\u30c3\u30af\u3059\u308b.<\/li>\n\n\n\n
\u30a4\u30f3\u30d1\u30eb\u30b9\uff0f\u30b9\u30c6\u30c3\u30d7:\u30ea\u30f3\u30ae\u30f3\u30b0\u3068\u6642\u9593\u5fdc\u7b54\u3092\u89b3\u5bdf\u3059\u308b(\u904e\u6e21\u4fe1\u53f7\u7528\u9014\u3067\u306f\u7279\u306b\u91cd\u8981).<\/li>\n\n\n\n
\u65e2\u77e5\u306e\u898f\u683c\u6e96\u62e0\u30ea\u30d5\u30a1\u30ec\u30f3\u30b9\u6a5f\u5668\uff0f\u5b9f\u88c5\u3068\u30af\u30ed\u30b9\u30c1\u30a7\u30c3\u30af\u3059\u308b.<\/li>\n<\/ul>\n\n
\u30d0\u30f3\u30c9\u5b9a\u7fa9\u304b\u3089\u898f\u683c\u6e96\u62e0\u30c7\u30b8\u30bf\u30eb\u30d5\u30a3\u30eb\u30bf\u307e\u3067:\u30a8\u30f3\u30c9\u30c4\u30fc\u30a8\u30f3\u30c9\u306e\u30ef\u30fc\u30af\u30d5\u30ed\u30fc(\u6982\u5ff5)<\/strong><\/h3>\n\n
\n
\u30d0\u30f3\u30c9\u4f53\u7cfb\u3092\u9078\u629e\u3059\u308b:base-10\uff0fbase-2\u3001\u5206\u6570 1\/b(\u4e00\u822c\u306b b=3)\u3001\u6b63\u78ba\u306a fm \u304a\u3088\u3073 f1\uff0ff2 \u3092\u751f\u6210\u3059\u308b.<\/li>\n\n\n\n
\u6027\u80fd\u76ee\u6a19\u3092\u9078\u629e\u3059\u308b:\u3069\u306e\u898f\u683c\u7248\u3068\u3001\u3069\u306e\u30af\u30e9\u30b9\uff0f\u30de\u30b9\u30af\u8a31\u5bb9\u5dee\u3092\u5bfe\u8c61\u306b\u3059\u308b\u304b?<\/li>\n\n\n\n
\u30d5\u30a3\u30eb\u30bf\u69cb\u9020\u3092\u9078\u629e\u3059\u308b:\u30ea\u30a2\u30eb\u30bf\u30a4\u30e0\u7528\u9014\u306b\u306f IIR SOS\u3001\u4f4d\u76f8\u7279\u6027\uff0f\u30bc\u30ed\u4f4d\u76f8\u304c\u5fc5\u8981\u306a\u5834\u5408\u306f FIR \u307e\u305f\u306f\u524d\u5f8c\u51e6\u7406\u30d5\u30a3\u30eb\u30bf\u30ea\u30f3\u30b0.<\/li>\n\n\n\n
\u5404\u30d0\u30f3\u30c9\u30d1\u30b9\u3092\u8a2d\u8a08\u3059\u308b:f1\uff0ff2 \u3092\u30c7\u30b8\u30bf\u30eb\u9818\u57df\u3078\u6b63\u3057\u304f\u5199\u50cf\u3059\u308b(\u4f8b:\u53cc\u4e00\u6b21\u5909\u63db\u3067\u306f\u4e8b\u524d\u30ef\u30fc\u30d7\u3092\u884c\u3046).<\/li>\n\n\n\n
\u5fc5\u8981\u306b\u5fdc\u3058\u3066\u30de\u30eb\u30c1\u30ec\u30fc\u30c8\u3092\u5b9f\u88c5\u3059\u308b:\u5341\u5206\u306a\u30a2\u30f3\u30c1\u30a8\u30a4\u30ea\u30a2\u30b7\u30f3\u30b0\u3092\u65bd\u3057\u305f\u3046\u3048\u3067\u3001\u4f4e\u5468\u6ce2\u6570\u30b0\u30eb\u30fc\u30d7\u3092\u30c7\u30b7\u30e1\u30fc\u30c8\u3059\u308b.<\/li>\n\n\n\n
\u691c\u8a3c:\u632f\u5e45\u7279\u6027\u3092\u30de\u30b9\u30af\u3068\u6bd4\u8f03\u3059\u308b;\u30ce\u30a4\u30ba\u8a66\u9a13\u3067\u6709\u52b9\u5e2f\u57df\u5e45\u3092\u78ba\u8a8d\u3059\u308b;\u30b9\u30a4\u30fc\u30d7\uff0f\u30a4\u30f3\u30d1\u30eb\u30b9\u8a66\u9a13\u3067\u6642\u9593\u5fdc\u7b54\u3092\u78ba\u8a8d\u3059\u308b.<\/li>\n\n\n\n
\u8f03\u6b63\u3068\u5831\u544a:\u5358\u4f4d\u3068\u57fa\u6e96\u91cf\u3001\u5e73\u5747\u5316\uff0f\u6642\u9593\u91cd\u307f\u4ed8\u3051\u3001\u624b\u6cd5\u306e\u8a73\u7d30\u3092\u660e\u8a18\u3059\u308b.<\/li>\n<\/ol>\n\n
\u6642\u9593\u5fdc\u7b54\u306e\u89e3\u8aac:\u7fa4\u9045\u5ef6\u3001\u30ea\u30f3\u30ae\u30f3\u30b0\u3001\u5e73\u5747\u5316\u304c\u6307\u793a\u5024\u3092\u3069\u306e\u3088\u3046\u306b\u5f62\u4f5c\u308b\u304b<\/strong><\/h3>\n\n
\u30d0\u30f3\u30c9\u30ec\u30d9\u30eb\u30a2\u30ca\u30e9\u30a4\u30b6\u306f\u6642\u9593\u9818\u57df\u30b7\u30b9\u30c6\u30e0(\u30d5\u30a3\u30eb\u30bf \u2192 \u30a8\u30cd\u30eb\u30ae\u691c\u51fa\u5668 \u2192 \u5e73\u6ed1\u5668)\u3067\u3042\u308b\u305f\u3081\u3001\u6307\u793a\u5024\u306f\u8907\u6570\u306e\u6642\u9593\u30b9\u30b1\u30fc\u30eb\u306b\u652f\u914d\u3055\u308c\u307e\u3059:<\/p>\n\n
\n
\u30d5\u30a3\u30eb\u30bf\u306e\u7fa4\u9045\u5ef6:\u4e8b\u8c61\u304c\u5404\u30d0\u30f3\u30c9\u306b\u3069\u308c\u3060\u3051\u9045\u308c\u3066\u73fe\u308c\u308b\u304b.<\/li>\n\n\n\n
\u30d5\u30a3\u30eb\u30bf\u306e\u30ea\u30f3\u30ae\u30f3\u30b0\uff0f\u6e1b\u8870:\u77ed\u3044\u30d1\u30eb\u30b9\u304c\u30d0\u30f3\u30c9\u5185\u3067\u3069\u308c\u304f\u3089\u3044\u300c\u9cf4\u308a\u7d9a\u3051\u308b\u300d\u304b.<\/li>\n\n\n\n
\u30a8\u30cd\u30eb\u30ae\u5e73\u5747\u5316\uff0f\u6642\u9593\u91cd\u307f\u4ed8\u3051:\u51fa\u529b\u30ec\u30d9\u30eb\u306e\u6642\u9593\u5206\u89e3\u80fd\u3068\u5909\u52d5\u306e\u30c8\u30ec\u30fc\u30c9\u30aa\u30d5.<\/li>\n<\/ul>\n\n
\u3057\u305f\u304c\u3063\u3066\u3001\u904e\u6e21\u73fe\u8c61(\u30a4\u30f3\u30d1\u30af\u30c8\u3001\u958b\u59cb\uff0f\u505c\u6b62\u30a4\u30d9\u30f3\u30c8\u3001\u30b9\u30a4\u30fc\u30d7)\u3067\u306f\u3001\u898f\u683c\u306b\u9069\u5408\u3057\u3066\u3044\u308b\u5b9f\u88c5\u540c\u58eb\u3067\u3042\u3063\u3066\u3082\u3001\u30d4\u30fc\u30af\u30ec\u30d9\u30eb\u3084\u6642\u9593\u5c65\u6b74\u304c\u7570\u306a\u308b\u5834\u5408\u304c\u3042\u308a\u307e\u3059.\u3053\u308c\u306f ANSI \u306b\u3088\u308b\u6ce8\u610f\u559a\u8d77\u3068\u6574\u5408\u3057\u3066\u3044\u307e\u3059. [3]<\/p>\n\n
\u7d4c\u9a13\u5247:\u5b9a\u5e38\u7684\u306a\u5bc4\u4e0e\u3092\u8a55\u4fa1\u3059\u308b\u5834\u5408\u306f\u3001\u5b89\u5b9a\u6027\u3092\u5f97\u308b\u305f\u3081\u306b\u9577\u3081\u306e\u5e73\u5747\u5316\u3092\u4f7f\u7528\u3059\u308b.\u904e\u6e21\u306e\u4f4d\u7f6e\u7279\u5b9a\u306b\u306f\u5e73\u5747\u5316\u3092\u77ed\u304f\u3059\u308b\u304c\u3001\u3070\u3089\u3064\u304d\u306e\u5897\u52a0\u3092\u53d7\u3051\u5165\u308c\u3001\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u8a73\u7d30\u3092\u56fa\u5b9a\u3059\u308b.<\/p>\n\n
\u30ea\u30a2\u30eb\u30bf\u30a4\u30e0\u51e6\u7406\u3067\u3088\u304f\u3042\u308b\u843d\u3068\u3057\u7a74<\/strong><\/h3>\n\n
\n
\u30c7\u30b7\u30e1\u30fc\u30b7\u30e7\u30f3\u30c1\u30a7\u30fc\u30f3\u3067\u30a2\u30f3\u30c1\u30a8\u30a4\u30ea\u30a2\u30b7\u30f3\u30b0\u3092\u5fd8\u308c\u308b\u3068\u3001\u4f4e\u5468\u6ce2\u6570\u30d0\u30f3\u30c9\u304c\u30a8\u30a4\u30ea\u30a2\u30b7\u30f3\u30b0\u306b\u3088\u308a\u6c5a\u67d3\u3055\u308c\u307e\u3059.<\/li>\n\n\n\n
\u9ad8 Q \u306e\u4f4e\u5468\u6ce2\u6570 IIR \u30bb\u30af\u30b7\u30e7\u30f3\u306b\u304a\u3051\u308b\u6570\u5024\u4e0d\u5b89\u5b9a\u6027:SOS\uff0f\u30d0\u30a4\u30af\u30a2\u30c3\u30c9\u3068\u5341\u5206\u306a\u6570\u5024\u7cbe\u5ea6\u3092\u4f7f\u7528\u3059\u308b.<\/li>\n\n\n\n
Averaging in dB: \u5fc5\u305a\u30a8\u30cd\u30eb\u30ae\uff0f\u5e73\u5747\u4e8c\u4e57\u5024\u3067\u5e73\u5747\u3057\u3001\u305d\u306e\u5f8c dB \u306b\u5909\u63db\u3059\u308b.<\/li>\n\n\n\n
\u30d0\u30f3\u30c9\u30a8\u30cd\u30eb\u30ae\u304c\u5168\u30a8\u30cd\u30eb\u30ae\u306b\u5fc5\u305a\u53b3\u5bc6\u306b\u4e00\u81f4\u3059\u308b\u3068\u4eee\u5b9a\u3059\u308b\u3053\u3068:\u6a19\u6e96\u30d5\u30a3\u30eb\u30bf\u306f\u5fc5\u305a\u3057\u3082\u96fb\u529b\u88dc\u5b8c\u7684\u3067\u306f\u3042\u308a\u307e\u305b\u3093.\u4ee3\u308f\u308a\u306b\u3001\u898f\u683c\u306b\u6574\u5408\u3057\u305f\u8a55\u4fa1\u57fa\u6e96\u3067\u691c\u8a3c\u3057\u3066\u304f\u3060\u3055\u3044.<\/li>\n<\/ul>\n\n
OpenTest \u306b\u304a\u3051\u308b\u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u89e3\u6790<\/strong><\/h3>\n\n
OpenTest \u306f\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u65b9\u5f0f\u306b\u3088\u308b\u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u89e3\u6790\u3092\u30b5\u30dd\u30fc\u30c8\u3057\u307e\u3059:1) \u30c7\u30d0\u30a4\u30b9\u3001\u4f8b\u3048\u3070 SonoDAQ Pro<\/a> \u3092\u63a5\u7d9a\u3057\u307e\u30592) \u30c1\u30e3\u30f3\u30cd\u30eb\u3092\u9078\u629e\u3057\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u8a2d\u5b9a\u3092\u8abf\u6574\u3057\u307e\u3059. \u5916\u4ed8\u3051\u30de\u30a4\u30af\u30ed\u30db\u30f3\u3092\u4f7f\u7528\u3059\u308b\u5834\u5408\u306f\u3001IEPE \u3092\u6709\u52b9\u306b\u3057\u3001\u97f3\u97ff\u4fe1\u53f7\u6e2c\u5b9a\u30e2\u30fc\u30c9\u306b\u5207\u308a\u66ff\u3048\u307e\u3059.3) \u300c\u6e2c\u5b9a\u30e2\u30fc\u30c9\u300d\u306e\u300c\u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u89e3\u6790\u300d\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u3001IEC 61260-1 \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u9078\u629e\u3057\u307e\u3059. \u30ea\u30a2\u30eb\u30bf\u30a4\u30e0\u89e3\u6790\u3001\u7dda\u5f62\u5e73\u5747\u3001\u6307\u6570\u5e73\u5747\u3001\u30d4\u30fc\u30af\u30db\u30fc\u30eb\u30c9\u306b\u5bfe\u5fdc\u3057\u3066\u3044\u307e\u3059.4) \u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u8a2d\u5b9a\u5f8c\u3001Test<\/strong> \u30dc\u30bf\u30f3\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u6e2c\u5b9a\u3092\u958b\u59cb\u3057\u307e\u3059.5) 1 \u56de\u306e\u8a18\u9332\u304b\u3089\u30011\/1 \u30aa\u30af\u30bf\u30fc\u30d6\u30011\/3 \u30aa\u30af\u30bf\u30fc\u30d6\u30011\/6 \u30aa\u30af\u30bf\u30fc\u30d6\u30011\/12 \u30aa\u30af\u30bf\u30fc\u30d6\u30011\/24 \u30aa\u30af\u30bf\u30fc\u30d6\u3001\u304a\u3088\u3073 1\/24 \u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u3092\u540c\u6642\u306b\u89e3\u6790\u3067\u304d\u307e\u3059.<\/p>\n\n
$\"\"$ <\/figure>\n\n
\u56f3 1:OpenTest \u306b\u304a\u3051\u308b\u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u89e3\u6790<\/strong><\/p>\n\n
FFT \u30d3\u30cb\u30f3\u30b0\u3068 FFT \u30b7\u30f3\u30bb\u30b7\u30b9<\/strong><\/h2>\n\n
FFT \u30d3\u30cb\u30f3\u30b0:\u30ca\u30ed\u30fc\u30d0\u30f3\u30c9\u30b9\u30da\u30af\u30c8\u30eb\u3092 CPB \u30d0\u30f3\u30c9\u7a4d\u5206\u306b\u5909\u63db\u3059\u308b<\/strong><\/h3>\n\n
\n
\u30b9\u30da\u30af\u30c8\u30eb\u3092\u63a8\u5b9a\u3059\u308b(\u5358\u4e00 FFT\u3001Welch PSD\u3001\u307e\u305f\u306f STFT).<\/li>\n\n\n\n
\u5404\u30aa\u30af\u30bf\u30fc\u30d6\uff0f\u5206\u6570\u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u5185\u3067\u7a4d\u5206\uff0f\u5408\u8a08\u3057\u3066\u3001\u30d0\u30f3\u30c9\u96fb\u529b\u3092\u6c42\u3081\u308b.<\/li>\n<\/ol>\n\n
\u3053\u306e\u65b9\u6cd5\u306f\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\uff0f\u30aa\u30d5\u30e9\u30a4\u30f3\u51e6\u7406\u3067\u4e00\u822c\u7684\u3067\u3059.\u5358\u4e00\u306e FFT \u3067\u9ad8\u5206\u89e3\u80fd\u30b9\u30da\u30af\u30c8\u30eb\u3092\u53d6\u5f97\u3057\u3001\u305d\u308c\u3092\u4efb\u610f\u306e\u30d0\u30f3\u30c9\u4f53\u7cfb(1\/1\u30011\/3\u30011\/12 \u306a\u3069)\u306b\u30ea\u30d3\u30f3\u3067\u304d\u307e\u3059.<\/p>\n\n
\u4e3b\u8981\u306a\u8ab2\u984c 1:FFT \u306e\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3068\u7a93\u88dc\u6b63<\/strong><\/h3>\n\n
FFT \u5f8c\u306e\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u306f\u30011\/N \u6b63\u898f\u5316\u3001\u632f\u5e45 vs \u96fb\u529b vs PSD\u3001\u4e00\u5074\uff0f\u4e21\u5074\u30b9\u30da\u30af\u30c8\u30eb\u3001\u7a93\u95a2\u6570\u306a\u3069\u3001\u5b9a\u7fa9\u306b\u4f9d\u5b58\u3057\u307e\u3059. \u30ce\u30a4\u30ba\u6e2c\u5b9a\u3067\u306f ENBW \u304c\u6975\u3081\u3066\u91cd\u8981\u3067\u3042\u308a\u3001\u3053\u308c\u3092\u7121\u8996\u3059\u308b\u3068\u7cfb\u7d71\u7684\u306a\u30aa\u30d5\u30bb\u30c3\u30c8\u304c\u751f\u3058\u307e\u3059. [7]<\/p>\n\n
\u5b9f\u7528\u7684\u306a PSD \u6b63\u898f\u5316(\u30d4\u30ea\u30aa\u30c9\u30b0\u30e9\u30e0\u5f62\u5f0f)<\/strong><\/p>\n\n
$\"\"$ <\/figure>\n\n
$\"\"$ <\/figure>\n\n
$\"\"$ <\/figure>\n\n
# \u7247\u5074 PSD \u306b\u5909\u63db:DC(\u304a\u3088\u3073\u5b58\u5728\u3059\u308b\u5834\u5408\u306f\u30ca\u30a4\u30ad\u30b9\u30c8)\u3092\u9664\u304d\u30012 \u500d\u3059\u308b<\/strong><\/p>\n\n
\u3053\u308c\u306b\u3088\u308a PSD \u306e\u5358\u4f4d\u306f(\u5165\u529b\u5358\u4f4d)\u00b2\/Hz \u3068\u306a\u308a\u3001PSD \u3092\u5468\u6ce2\u6570\u3067\u7a4d\u5206\u3059\u308b\u3053\u3068\u3067\u30a8\u30cd\u30eb\u30ae\u6574\u5408\u6027\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059.<\/p>\n\n
\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3092\u78ba\u8a8d\u3059\u308b\u305f\u3081\u306e\u7c21\u5358\u306a\u81ea\u5df1\u30c1\u30a7\u30c3\u30af<\/strong><\/p>\n\n
\n
\u30db\u30ef\u30a4\u30c8\u30ce\u30a4\u30ba\u30c1\u30a7\u30c3\u30af:\u65e2\u77e5\u306e\u5206\u6563 \u03c3\u00b2 \u3092\u3082\u3064\u30ce\u30a4\u30ba\u3092\u751f\u6210\u3057\u3001\u7247\u5074 PSD \u3092 0..fs\/2 \u3067\u7a4d\u5206\u3057\u3066 \u2248\u03c3\u00b2 \u3092\u56de\u5fa9\u3059\u308b(\u00d72 \u30eb\u30fc\u30eb\u3092\u8003\u616e).<\/li>\n\n\n\n
\u7d14\u97f3\u30c1\u30a7\u30c3\u30af:\u632f\u5e45 A \u306e\u6b63\u5f26\u6ce2(RMS=A\/\u221a2)\u3092\u751f\u6210\u3057\u3001\u30b9\u30da\u30af\u30c8\u30eb\u30a8\u30cd\u30eb\u30ae\u3092\u7a4d\u5206\u3057\u3066 \u2248A\u00b2\/2 \u3092\u56de\u5fa9\u3059\u308b(\u6f0f\u308c\u304a\u3088\u3073\u7a93\u9078\u629e\u306e\u5f71\u97ff\u3092\u53d7\u3051\u308b).<\/li>\n<\/ul>\n\n
\u4e21\u65b9\u306e\u30c1\u30a7\u30c3\u30af\u3092\u6e80\u305f\u305b\u3070\u3001FFT \u306e\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u306f\u304a\u305d\u3089\u304f\u6b63\u3057\u304f\u3001\u305d\u306e\u3046\u3048\u3067\u90e8\u5206\u30d3\u30f3\u91cd\u307f\u4ed8\u3051\u3084\u30aa\u30af\u30bf\u30fc\u30d6\u30d3\u30cb\u30f3\u30b0\u304c\u610f\u5473\u3092\u3082\u3064\u3088\u3046\u306b\u306a\u308a\u307e\u3059.<\/p>\n\n
\u4e3b\u8981\u306a\u8ab2\u984c 2:\u30d0\u30f3\u30c9\u7aef\u304c\u30d3\u30f3\u4e2d\u5fc3\u306b\u307b\u3068\u3093\u3069\u63c3\u308f\u306a\u3044 \u2192 \u90e8\u5206\u30d3\u30f3\u91cd\u307f\u4ed8\u3051<\/strong><\/h3>\n\n
\u30d0\u30f3\u30c9\u7aef\u3067\u5358\u7d14\u306b\u300c\u542b\u3081\u308b\uff0f\u9664\u5916\u3059\u308b\u300d\u3092\u6c7a\u3081\u308b\u3068\u3001\u7279\u306b\u30d0\u30f3\u30c9\u304c\u72ed\u3044\u4f4e\u5468\u6ce2\u6570\u3067\u306f\u6bb5\u968e\u7684\u306a\u8aa4\u5dee\u304c\u767a\u751f\u3057\u307e\u3059. \u5883\u754c\u30d3\u30f3\u306b\u306f\u3001\u30aa\u30fc\u30d0\u30e9\u30c3\u30d7\u306b\u57fa\u3065\u304f\u91cd\u307f\u4ed8\u3051(\u30bb\u30af\u30b7\u30e7\u30f3 4.2.4)\u3092\u7528\u3044\u3066\u304f\u3060\u3055\u3044.<\/p>\n\n
\u30bc\u30ed\u30d1\u30c7\u30a3\u30f3\u30b0\u306f\u7aef\u90e8\u306e\u30df\u30b9\u30de\u30c3\u30c1\u3092\u89e3\u6c7a\u3059\u308b\u304b? (\u3088\u304f\u3042\u308b\u8aa4\u89e3)<\/strong><\/p>\n\n
\u30bc\u30ed\u30d1\u30c7\u30a3\u30f3\u30b0\u306f\u8868\u793a\u3055\u308c\u308b\u30b9\u30da\u30af\u30c8\u30eb\u3092\u88dc\u9593\u3059\u308b\u3060\u3051\u3067\u3042\u308a\u3001\u771f\u306e\u5468\u6ce2\u6570\u5206\u89e3\u80fd(\u5143\u306e\u7a93\u9577\u3067\u6c7a\u307e\u308b)\u306f\u5411\u4e0a\u3057\u307e\u305b\u3093. \u8996\u899a\u7684\u306a\u6bb5\u5dee\u3092\u6e1b\u3089\u3059\u3053\u3068\u306f\u3067\u304d\u307e\u3059\u304c\u30011\uff5e2 \u30d3\u30f3\u3057\u304b\u542b\u307e\u306a\u3044\u4f4e\u5468\u6ce2\u6570\u30d0\u30f3\u30c9\u3092\u4fe1\u983c\u3067\u304d\u308b\u30d0\u30f3\u30c9\u30ec\u30d9\u30eb\u63a8\u5b9a\u306b\u5909\u3048\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093. \u6839\u672c\u7684\u306a\u5bfe\u7b56\u306f\u3001\u7a93\u9577\u3092\u9577\u304f\u3059\u308b\u304b\u3001\u30de\u30eb\u30c1\u30ec\u30fc\u30c8\u51e6\u7406\uff0f\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3059.<\/p>\n\n
\u4e3b\u8981\u306a\u8ab2\u984c 3:\u6642\u9593\u2015\u5468\u6ce2\u6570\u30c8\u30ec\u30fc\u30c9\u30aa\u30d5(\u7a93\u9577\u304c\u4f4e\u5468\u6ce2\u6570\u7cbe\u5ea6\u3068\u9045\u5ef6\u3092\u6c7a\u3081\u308b)<\/strong><\/h3>\n\n
FFT \u5206\u89e3\u80fd\u306f \u0394f = fs\/N \u3067\u3059. \u4f4e\u5468\u6ce2\u6570\u306e 1\/3 \u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u306f\u308f\u305a\u304b\u6570 Hz \u5e45\u3057\u304b\u306a\u3044\u3053\u3068\u304c\u3042\u308a\u3001\u5341\u5206\u306a\u30d3\u30f3\u6570\u3092\u78ba\u4fdd\u3059\u308b\u306b\u306f\u975e\u5e38\u306b\u5927\u304d\u306a N \u304c\u5fc5\u8981\u306b\u306a\u308a\u3001\u30ec\u30a4\u30c6\u30f3\u30b7\u304c\u5897\u52a0\u3057\u3001\u904e\u6e21\u304c\u5e73\u6ed1\u5316\u3055\u308c\u307e\u3059.<\/p>\n\n
\u6839\u672c\u539f\u56e0:1\/3 \u30aa\u30af\u30bf\u30fc\u30d6\u306f\u5b9a Q \u3067\u3059\u304c\u3001STFT \u306f\u4e00\u5b9a \u0394f \u306e\u30d3\u30f3\u3092\u7528\u3044\u307e\u3059<\/strong><\/p>\n\n
CPB \u3067\u306f\u3001\u30d0\u30f3\u30c9\u5e45\u306f\u5468\u6ce2\u6570\u306b\u6bd4\u4f8b\u3057\u3066\u30b9\u30b1\u30fc\u30eb\u3057\u307e\u3059(\u0394f_band \u221d f\u3001\u5b9a Q). STFT \u3067\u306f\u3001\u30d3\u30f3\u9593\u9694\u306f\u4e00\u5b9a\u3067\u3059(\u0394f_bin \u306f\u4e00\u5b9a). \u305d\u306e\u305f\u3081\u3001\u4f4e\u5468\u6ce2\u6570\u5074\u306e CPB \u3067\u306f\u6975\u3081\u3066\u7d30\u304b\u3044 \u0394f_bin(\u9577\u3044\u7a93)\u304c\u5fc5\u8981\u3068\u306a\u308a\u3001\u9ad8\u5468\u6ce2\u6570\u5074\u306f\u904e\u5270\u306b\u9ad8\u5206\u89e3\u80fd\u306b\u306a\u308a\u307e\u3059.<\/p>\n\n
\u89e3\u6c7a\u30a2\u30d7\u30ed\u30fc\u30c1:\u9577\u7a93 STFT vs \u30de\u30eb\u30c1\u30ec\u30fc\u30c8 STFT vs CQT\uff0f\u30a6\u30a7\u30fc\u30d6\u30ec\u30c3\u30c8<\/strong><\/p>\n\n
\n
\u9577\u7a93 STFT:\u6700\u3082\u5358\u7d14\u3067\u3059\u304c\u3001\u30ec\u30a4\u30c6\u30f3\u30b7\u304c\u5927\u304d\u304f\u306a\u308a\u904e\u6e21\u304c\u307c\u3084\u3051\u307e\u3059.<\/li>\n\n\n\n
\u30de\u30eb\u30c1\u30ec\u30fc\u30c8 STFT:\u4f4e\u5468\u6ce2\u6570\u6210\u5206\u3092\u30c0\u30a6\u30f3\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u3066\u4f4e\u3044 fs \u3067 FFT \u3092\u884c\u3044\u3001\u30de\u30eb\u30c1\u30ec\u30fc\u30c8\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u306b\u985e\u4f3c\u3057\u305f\u52d5\u4f5c\u306b\u3057\u307e\u3059.<\/li>\n\n\n\n
\u5b9a Q \u5909\u63db(CQT)\uff0f\u30a6\u30a7\u30fc\u30d6\u30ec\u30c3\u30c8:\u81ea\u7136\u306b\u5bfe\u6570\u5468\u6ce2\u6570\u5206\u89e3\u80fd\u306b\u306a\u308a\u307e\u3059\u304c\u3001IEC\uff0fANSI \u30de\u30b9\u30af\u306b\u5408\u308f\u305b\u308b\u306b\u306f\u8ffd\u52a0\u306e\u8f03\u6b63\uff0f\u691c\u8a3c\u304c\u5fc5\u8981\u3067\u3059. [4]<\/li>\n<\/ul>\n\n
\u898f\u683c\u9069\u5408\u6e2c\u5b9a\u3067\u306f\u3001\u898f\u683c\u5fd7\u5411\u306e\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u304c\u597d\u307e\u308c\u307e\u3059.\u7814\u7a76\u3084\u7279\u5fb4\u62bd\u51fa\u306b\u306f\u3001CQT\uff0f\u30a6\u30a7\u30fc\u30d6\u30ec\u30c3\u30c8\u3082\u6709\u671b\u3067\u3059.<\/p>\n\n
FFT \u30b7\u30f3\u30bb\u30b7\u30b9:\u5468\u6ce2\u6570\u9818\u57df\u3067\u30d0\u30f3\u30c9\u5225\u30d5\u30a3\u30eb\u30bf\u30ea\u30f3\u30b0\u3092\u69cb\u6210\u3059\u308b<\/strong><\/h3>\n\n
FFT \u30b7\u30f3\u30bb\u30b7\u30b9\u306f\u3001FFT \u30a2\u30d7\u30ed\u30fc\u30c1\u3092\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u306b\u8fd1\u3065\u3051\u308b\u624b\u6cd5\u3067\u3059:<\/p>\n\n
\n
\u5404\u30d0\u30f3\u30c9\u3054\u3068\u306b\u5468\u6ce2\u6570\u9818\u57df\u306e\u91cd\u307f W_b[k] \u3092\u5b9a\u7fa9\u3057\u307e\u3059(\u30d6\u30ea\u30c3\u30af\u30a6\u30a9\u30fc\u30eb\u307e\u305f\u306f\u6ed1\u3089\u304b\u306a\uff0f\u30de\u30b9\u30af\u985e\u4f3c\u306e\u5f62\u72b6).<\/li>\n\n\n\n
Y_b[k] = X[k]\u30fbW_b[k] \u3092\u8a08\u7b97\u3057\u3001IFFT \u3067 y_b[n] \u3092\u5f97\u307e\u3059.<\/li>\n\n\n\n
y_b[n] \u304b\u3089\u30d0\u30f3\u30c9\u3054\u3068\u306e RMS\uff0f\u5e73\u5747\u5024\u3092\u8a08\u7b97\u3057\u307e\u3059.<\/li>\n<\/ul>\n\n
\u3053\u306e\u65b9\u6cd5\u3067\u306f\u3001\u30bc\u30ed\u4f4d\u76f8(\u975e\u56e0\u679c)\u30d5\u30a3\u30eb\u30bf\u30ea\u30f3\u30b0\u3092\u5bb9\u6613\u306b\u5b9f\u88c5\u3067\u304d\u307e\u3059. IEC\uff0fANSI \u3068\u53b3\u5bc6\u306b\u6574\u5408\u3055\u305b\u308b\u306b\u306f\u3001W_b \u3068\u6b63\u898f\u5316\u3092\u614e\u91cd\u306b\u8a2d\u8a08\u3057\u3001\u691c\u8a3c\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059.<\/p>\n\n
FFT \u30b7\u30f3\u30bb\u30b7\u30b9\u3092\u30b9\u30c8\u30ea\u30fc\u30e0\u7684\u306b\u3059\u308b:OLA\u3001\u4e8c\u91cd\u7a93\u3001\u304a\u3088\u3073\u632f\u5e45\u6b63\u898f\u5316<\/strong><\/p>\n\n
\u30d0\u30f3\u30c9\u3054\u3068\u306b\u9023\u7d9a\u3057\u305f\u6642\u9593\u4fe1\u53f7\u3092\u51fa\u529b\u3059\u308b\u306b\u306f\u3001\u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7\u52a0\u7b97(OLA)\u3092\u7528\u3044\u307e\u3059.\u3059\u306a\u308f\u3061\u3001\u30d5\u30ec\u30fc\u30e0\u5206\u5272\u3001\u5206\u6790\u7a93\u3001FFT\u3001W_b \u306e\u9069\u7528\u3001IFFT\u3001\u5408\u6210\u7a93\u3001\u305d\u3057\u3066 OLA \u3092\u884c\u3044\u307e\u3059. \u89e3\u6790\u7a93\uff0f\u5408\u6210\u7a93\u306f COLA(constant overlap-add)\u6761\u4ef6(\u4f8b:\u30cf\u30f3\u7a93\uff0b 50% \u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7)\u3092\u6e80\u305f\u3059\u3088\u3046\u306b\u9078\u3073\u3001\u5468\u671f\u7684\u306a\u30ec\u30d9\u30eb\u5909\u8abf\u3092\u907f\u3051\u307e\u3059.<\/p>\n\n
\u898f\u683c\u30d5\u30a3\u30eb\u30bf\u306b\u5408\u308f\u305b\u308b\u3053\u3068\u304c\u76ee\u6a19\u306e\u5834\u5408\u3001W_b \u306f\u3069\u306e\u3088\u3046\u306b\u9078\u3076\u3079\u304d\u3067\u3057\u3087\u3046\u304b?<\/strong><\/p>\n\n
W_b[k] \u306f\u3001\u4f55\u3092\u4e00\u81f4\u3055\u305b\u305f\u3044\u304b\u306b\u3088\u3063\u3066\u6c7a\u307e\u308a\u307e\u3059:<\/p>\n\n
\n
\u30d6\u30ea\u30c3\u30af\u30a6\u30a9\u30fc\u30eb\u7a4d\u5206\u306b\u5408\u308f\u305b\u308b:W_b \u306f [f1,f2] \u5185\u3067 0\uff0f1 \u306e\u30cf\u30fc\u30c9\u306a\u7279\u6027\u3068\u3059\u308b.<\/li>\n\n\n\n
IEC\uff0fANSI \u30d5\u30a3\u30eb\u30bf\u6319\u52d5\u306b\u5408\u308f\u305b\u308b:|W_b(f)| \u304c\u6a19\u6e96\u30de\u30b9\u30af\u304a\u3088\u3073\u6709\u52b9\u5e2f\u57df\u5e45(\u222b|W_b|\u00b2 \u304c\u4e00\u81f4)\u3092\u8fd1\u4f3c\u3059\u308b\u3088\u3046\u306b\u3059\u308b.<\/li>\n\n\n\n
\u518d\u69cb\u6210\u306e\u305f\u3081\u306b\u30a8\u30cd\u30eb\u30ae\u88dc\u5b8c\u6027\u3092\u5408\u308f\u305b\u308b:\u03a3_b |W_b(f)|\u00b2 \u2248 1 \u3068\u306a\u308b\u3088\u3046\u306b\u8a2d\u8a08\u3059\u308b(\u30bb\u30af\u30b7\u30e7\u30f3 7.6).<\/li>\n<\/ul>\n\n
\u3053\u308c\u3089\u3059\u3079\u3066\u3092\u540c\u6642\u306b\u5b8c\u5168\u306b\u6e80\u305f\u3059\u3053\u3068\u306f\u901a\u5e38\u3067\u304d\u306a\u3044\u305f\u3081\u3001\u512a\u5148\u9806\u4f4d(\u898f\u683c\u9069\u5408\u304b\u3001\u5206\u89e3\uff0f\u518d\u69cb\u6210\u304b)\u3092\u3042\u3089\u304b\u3058\u3081\u6c7a\u3081\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059.<\/p>\n\n
\u30a8\u30cd\u30eb\u30ae\u4fdd\u5b58\u578b\u5468\u6ce2\u6570\u9818\u57df\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af:\u306a\u305c \u03a3|W_b|\u00b2 \u304c\u91cd\u8981\u304b<\/strong><\/h3>\n\n
\u30d0\u30f3\u30c9\u30a8\u30cd\u30eb\u30ae\u3092(\u6570\u5024\u8aa4\u5dee\u306e\u7bc4\u56f2\u3067)\u5168\u30a8\u30cd\u30eb\u30ae\u306b\u5408\u8a08\u3055\u305b\u305f\u3044\u5834\u5408\u3001\u4e00\u822c\u7684\u306a\u8a2d\u8a08\u3067\u306f\u96fb\u529b\u88dc\u5b8c\u6027\u3092\u304a\u304a\u3088\u305d\u6e80\u305f\u3059\u3053\u3068\u3092\u76ee\u6307\u3057\u307e\u3059:<\/p>\n\n
$\"\"$ <\/figure>\n\n
IEC\uff0fANSI \u30de\u30b9\u30af\u306f\u5fc5\u305a\u3057\u3082\u53b3\u5bc6\u306a\u88dc\u5b8c\u6027\u3092\u4fdd\u8a3c\u3057\u306a\u3044\u305f\u3081\u3001\u898f\u683c\u9069\u5408\u306e\u6587\u8108\u3067\u306f\u30a8\u30cd\u30eb\u30ae\u306e\u53b3\u5bc6\u306a\u52a0\u6cd5\u6027\u3092\u524d\u63d0\u3068\u3059\u3079\u304d\u3067\u306f\u3042\u308a\u307e\u305b\u3093.<\/p>\n\n
Welch\uff0f\u5e73\u5747\u5316\u6226\u7565:FFT \u30d0\u30f3\u30c9\u30ec\u30d9\u30eb\u3092\u5b89\u5b9a\u3055\u305b\u308b\u65b9\u6cd5<\/strong><\/h3>\n\n
\n
Welch \u5e73\u5747(\u30bb\u30b0\u30e1\u30f3\u30c8\u5206\u5272\u3001\u7a93\u639b\u3051\u3001\u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7\u3001\u96fb\u529b\u30b9\u30da\u30af\u30c8\u30eb\u306e\u5e73\u5747)\u3092\u4f7f\u7528\u3057\u307e\u3059.<\/li>\n\n\n\n
\u30d1\u30ef\u30fc\u9818\u57df(|X|\u00b2 \u307e\u305f\u306f PSD)\u3067\u5e73\u5747\u3057\u3001\u305d\u306e\u5f8c dB \u306b\u5909\u63db\u3057\u307e\u3059.<\/li>\n\n\n\n
\u975e\u5b9a\u5e38\u4fe1\u53f7\u306b\u306f\u3001STFT \u306b\u3088\u308b\u6642\u9593\u2015\u30d0\u30f3\u30c9\u884c\u5217\u306e\u53d6\u5f97\u3092\u691c\u8a0e\u3057\u307e\u3059.<\/li>\n\n\n\n
\u7a93\u306e\u7a2e\u985e\u3001\u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7\u7387\u3001\u5e73\u5747\u56de\u6570\u3001ENBW\uff0fCG \u306e\u53d6\u308a\u6271\u3044\u3092\u5831\u544a\u3057\u307e\u3059.<\/li>\n<\/ul>\n\n
OpenTest \u306b\u304a\u3051\u308b FFT \u30d3\u30cb\u30f3\u30b0\u89e3\u6790<\/strong><\/h3>\n\n
OpenTest \u306f FFT \u30d3\u30cb\u30f3\u30b0\u306b\u57fa\u3065\u304f\u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u89e3\u6790\u3092\u30b5\u30dd\u30fc\u30c8\u3057\u307e\u3059:1) \u30c7\u30d0\u30a4\u30b9\u3001\u4f8b\u3048\u3070 SonoDAQ Pro<\/a> \u3092\u63a5\u7d9a\u3057\u307e\u30592) \u30c1\u30e3\u30f3\u30cd\u30eb\u3092\u9078\u629e\u3057\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u8a2d\u5b9a\u3092\u8abf\u6574\u3057\u307e\u3059. \u5916\u4ed8\u3051\u30de\u30a4\u30af\u30ed\u30db\u30f3\u3092\u4f7f\u7528\u3059\u308b\u5834\u5408\u306f\u3001IEPE \u3092\u6709\u52b9\u306b\u3057\u3001\u97f3\u97ff\u4fe1\u53f7\u6e2c\u5b9a\u30e2\u30fc\u30c9\u306b\u5207\u308a\u66ff\u3048\u307e\u3059.3) \u300c\u6e2c\u5b9a\u30e2\u30fc\u30c9\u300d\u306e\u300c\u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u89e3\u6790\u300d\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u3001FFT \u30d9\u30fc\u30b9\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u9078\u629e\u3057\u307e\u3059.4) 1 \u56de\u306e\u8a18\u9332\u304b\u3089\u30011\/1 \u30aa\u30af\u30bf\u30fc\u30d6\u30011\/3 \u30aa\u30af\u30bf\u30fc\u30d6\u30011\/6 \u30aa\u30af\u30bf\u30fc\u30d6\u30011\/12 \u30aa\u30af\u30bf\u30fc\u30d6\u30011\/24 \u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u3092\u540c\u6642\u306b\u89e3\u6790\u3067\u304d\u307e\u3059.<\/p>\n\n
$\"\"$ <\/figure>\n\n
\u56f3 2:OpenTest \u306b\u304a\u3051\u308b FFT \u30d3\u30cb\u30f3\u30b0\u30fb\u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u89e3\u6790<\/strong><\/p>\n\n
\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af vs FFT\uff0fFFT \u30b7\u30f3\u30bb\u30b7\u30b9:\u76f8\u9055\u70b9\u3001\u4e00\u81f4\u6761\u4ef6\u3001\u30c8\u30ec\u30fc\u30c9\u30aa\u30d5<\/strong><\/h2>\n\n
\u6bd4\u8f03\u8868<\/h5>\n\n
\u89b3\u70b9<\/strong><\/td> \u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af(\u771f\u306e\u30aa\u30af\u30bf\u30fc\u30d6\uff0fCPB)<\/strong><\/td> FFT \u30d3\u30cb\u30f3\u30b0\uff0fFFT \u30b7\u30f3\u30bb\u30b7\u30b9<\/strong><\/td><\/tr>
\u898f\u683c\u9069\u5408\u6027<\/td> IEC\uff0fANSI \u306e\u632f\u5e45\u30de\u30b9\u30af\u3092\u6e80\u305f\u3057\u3084\u3059\u304f\u3001\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u8a08\u6e2c\u5668\u3067\u4e3b\u6d41\u306e\u65b9\u5f0f\u3067\u3059. [1][3]<\/td> \u5358\u7d14\u306a\u30d3\u30cb\u30f3\u30b0\u306f\u30d0\u30f3\u30c9\u7a4d\u5206\u3068\u3057\u3066\u632f\u308b\u821e\u3046\u304c\u3001\u30de\u30b9\u30af\u3092\u4e00\u81f4\u3055\u305b\u308b\u306b\u306f\u8ffd\u52a0\u306e\u91cd\u307f\u4ed8\u3051\u3084\u3001\u898f\u683c\u6e96\u62e0\u306e\u30c7\u30b8\u30bf\u30eb\u30d5\u30a3\u30eb\u30bf\u304c\u5fc5\u8981\u3067\u3059.<\/td><\/tr>
\u30ea\u30a2\u30eb\u30bf\u30a4\u30e0\u6027\uff0f\u30ec\u30a4\u30c6\u30f3\u30b7<\/td> \u56e0\u679c\u7684\u306a\u30ea\u30a2\u30eb\u30bf\u30a4\u30e0\u51e6\u7406\u304c\u53ef\u80fd\u3067\u3001\u30ec\u30a4\u30c6\u30f3\u30b7\u306f\u30d5\u30a3\u30eb\u30bf\u6b21\u6570\u3068\u5e73\u5747\u5316\u306b\u3088\u3063\u3066\u6c7a\u307e\u308a\u307e\u3059.<\/td> \u30d6\u30ed\u30c3\u30af\u51e6\u7406\u3067\u306f\u3001\u5c11\u306a\u304f\u3068\u3082\u30a6\u30a3\u30f3\u30c9\u30a6 1 \u679a\u5206\u306e\u9045\u5ef6\u304c\u52a0\u308f\u308a\u307e\u3059.\u4f4e\u5468\u6ce2\u6570\u5206\u89e3\u80fd\u306e\u78ba\u4fdd\u306e\u305f\u3081\u306b\u3001\u3057\u3070\u3057\u3070\u9577\u3044\u30a6\u30a3\u30f3\u30c9\u30a6\u304c\u5fc5\u8981\u306b\u306a\u308a\u307e\u3059.<\/td><\/tr>
\u904e\u6e21\u5fdc\u7b54<\/td> \u51fa\u529b\u306f\u9023\u7d9a\u3067\u3059\u304c\u3001\u7fa4\u9045\u5ef6\u3084\u30ea\u30f3\u30ae\u30f3\u30b0\u306e\u5f71\u97ff\u3092\u53d7\u3051\u307e\u3059.\u898f\u683c\u306b\u9069\u5408\u3057\u305f\u5b9f\u88c5\u540c\u58eb\u3067\u3082\u7d50\u679c\u304c\u7570\u306a\u308b\u5834\u5408\u304c\u3042\u308a\u307e\u3059. [3]<\/td> STFT \u306e\u7a93\u306b\u3088\u308a\u5fdc\u7b54\u304c\u6c7a\u307e\u308a\u3001\u904e\u6e21\u306f\u7a93\u3067\u5e73\u6ed1\u5316\u3055\u308c\u3001\u7a93\u306e\u7a2e\u985e\u3068\u9577\u3055\u306b\u654f\u611f\u3067\u3059.<\/td><\/tr>
\u30ea\u30fc\u30b1\u30fc\u30b8 & \u88dc\u6b63<\/td> \u30d5\u30a3\u30eb\u30bf\u8a2d\u8a08\u306b\u3088\u308a\u5236\u5fa1\u3055\u308c\u3001\u30ea\u30fc\u30b1\u30fc\u30b8\u306f\u7ba1\u7406\u53ef\u80fd\u3067\u3059.<\/td> \u7a93\u3068 ENBW\uff0f\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u306b\u5f37\u304f\u4f9d\u5b58\u3057\u3001\u30d0\u30f3\u30c9\u7aef\u30d3\u30f3\u306e\u30df\u30b9\u30de\u30c3\u30c1\u306b\u306f\u90e8\u5206\u91cd\u307f\u4ed8\u3051\u304c\u5fc5\u8981\u3067\u3059. [7]<\/td><\/tr>
\u89e3\u91c8\u3057\u3084\u3059\u3055<\/td> \u30d0\u30f3\u30c9\u30d1\u30b9\u30d5\u30a3\u30eb\u30bf\u901a\u904e\u5f8c\u306e RMS \u3067\u3042\u308a\u3001\u9a12\u97f3\u8a08\u3084\u30a2\u30ca\u30e9\u30a4\u30b6\u306e\u8003\u3048\u65b9\u3068\u6574\u5408\u3057\u3066\u3044\u307e\u3059.<\/td> \u30b9\u30da\u30af\u30c8\u30eb\u63a8\u5b9a\uff0b\u30d3\u30cb\u30f3\u30b0\u3067\u3042\u308a\u3001\u3088\u308a\u7d71\u8a08\u7684\u306a\u6027\u683c\u3092\u6301\u3061\u307e\u3059.\u89e3\u91c8\u306f\u7a93\u3084\u5e73\u5747\u5316\u8a2d\u5b9a\u306b\u4f9d\u5b58\u3057\u307e\u3059.<\/td><\/tr>
\u8a08\u7b97\u91cf<\/td> \u591a\u6570\u306e\u30d5\u30a3\u30eb\u30bf\u3092\u4e26\u5217\u306b\u5b9f\u88c5\u3057\u307e\u3059\u304c\u3001\u30de\u30eb\u30c1\u30ec\u30fc\u30c8\u306b\u3088\u308a\u8a08\u7b97\u91cf\u3092\u524a\u6e1b\u3067\u304d\u307e\u3059.<\/td> \u5358\u4e00\u306e FFT \u3067\u5168\u30d0\u30f3\u30c9\u3092\u8cc4\u3048\u308b\u305f\u3081\u3001\u30aa\u30d5\u30e9\u30a4\u30f3\uff0f\u30d0\u30c3\u30c1\u51e6\u7406\u306b\u52b9\u7387\u7684\u3067\u3059.<\/td><\/tr>
\u4f4d\u76f8 & \u518d\u69cb\u6210<\/td> IIR \u306f\u901a\u5e38\u975e\u7dda\u5f62\u4f4d\u76f8(\u30ec\u30d9\u30eb\u8a55\u4fa1\u306b\u306f\u652f\u969c\u3042\u308a\u307e\u305b\u3093).<\/td> \u5468\u6ce2\u6570\u91cd\u307f\u306f\u30bc\u30ed\u4f4d\u76f8\u3068\u3067\u304d\u3001\u518d\u69cb\u6210\u306b\u306f\u88dc\u5b8c\u6027\u3084\u9077\u79fb\u90e8\u306e\u6271\u3044\u306b\u6ce8\u610f\u304c\u5fc5\u8981\u3067\u3059.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n
\u4e21\u65b9\u5f0f\u304c(\u307b\u307c)\u540c\u3058\u7d50\u679c\u3092\u4e0e\u3048\u308b\u306e\u306f\u3069\u3093\u306a\u3068\u304d\u304b?<\/strong><\/h3>\n\n
\u30d0\u30f3\u30c9\u5e73\u5747\u7d50\u679c\u306f\u3001\u6b21\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u3068\u304d\u306b\u4e00\u822c\u306b\u826f\u304f\u4e00\u81f4\u3057\u307e\u3059:<\/p>\n\n
\n
\u6bd4\u8f03\u5bfe\u8c61\u304c\u3001\u904e\u6e21\u306e\u30d4\u30fc\u30af\u30c8\u30e9\u30c3\u30af\u3067\u306f\u306a\u304f\u3001\u5e73\u5747\u5316\u3055\u308c\u305f\u30d0\u30f3\u30c9\u30ec\u30d9\u30eb(not transient peak tracks)\u3067\u3042\u308b.<\/li>\n\n\n\n
\u4fe1\u53f7\u304c\u304a\u304a\u3088\u305d\u5b9a\u5e38\u3067\u3042\u308a\u3001\u89b3\u6e2c\u6642\u9593\u304c\u5341\u5206\u306b\u9577\u3044.<\/li>\n\n\n\n
FFT \u5206\u89e3\u80fd\u304c\u5341\u5206\u306b\u7d30\u304b\u304f\u3001\u5404\u30d0\u30f3\u30c9(\u7279\u306b\u6700\u4f4e\u30d0\u30f3\u30c9)\u304c\u5341\u5206\u306a\u30d3\u30f3\u6570\u3092\u542b\u3093\u3067\u3044\u308b.<\/li>\n\n\n\n
FFT \u306e\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u304c\u6b63\u3057\u3044(\u4e00\u5074\u30b9\u30da\u30af\u30c8\u30eb\u306e\u6271\u3044\u3001\u0394f\u3001\u7a93\u6b63\u898f\u5316 U\u3001\u5fc5\u8981\u306b\u5fdc\u3058\u305f ENBW\uff0fCG).<\/li>\n\n\n\n
\u30d0\u30f3\u30c9\u7aef\u3067\u90e8\u5206\u30d3\u30f3\u91cd\u307f\u4ed8\u3051\u3092\u4f7f\u7528\u3057\u3066\u3044\u308b.<\/li>\n<\/ul>\n\n
\u904e\u6e21\u304a\u3088\u3073\u77ed\u6642\u9593\u30a4\u30d9\u30f3\u30c8\u3067\u5dee\u304c\u5927\u304d\u304f\u306a\u308b\u7406\u7531<\/strong><\/h3>\n\n
\u5dee\u7570\u306f\u6642\u9593\u30b9\u30b1\u30fc\u30eb\u306e\u4e0d\u6574\u5408\u306b\u8d77\u56e0\u3057\u307e\u3059.\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u306f\u30d0\u30f3\u30c9\u4f9d\u5b58\u306e\u7fa4\u9045\u5ef6\u3068\u30ea\u30f3\u30ae\u30f3\u30b0\u3092\u6301\u3061\u306a\u304c\u3089\u9023\u7d9a\u51fa\u529b\u3092\u884c\u3046\u4e00\u65b9\u3001STFT \u306f\u56fa\u5b9a\u7a93\u3092\u7528\u3044\u3001\u305d\u306e\u7a93\u304c\u5468\u6ce2\u6570\u5206\u89e3\u80fd\u3068\u6642\u9593\u5e73\u6ed1\u306e\u4e21\u65b9\u3092\u6c7a\u3081\u307e\u3059. \u30a4\u30d9\u30f3\u30c8\u306e\u7d99\u7d9a\u6642\u9593\u304c\u7a93\u9577\u3084\u30d5\u30a3\u30eb\u30bf\u30a4\u30f3\u30d1\u30eb\u30b9\u5fdc\u7b54\u3068\u540c\u7a0b\u5ea6\u306b\u306a\u308b\u3068\u3001\u7d50\u679c\u306f\u5b9f\u88c5\u306e\u8a73\u7d30\u306b\u5f37\u304f\u4f9d\u5b58\u3057\u307e\u3059.<\/p>\n\n
\u30a8\u30e9\u30fc\u30d0\u30b8\u30a7\u30c3\u30c8:\u4e0d\u4e00\u81f4\u304c\u751f\u3058\u3084\u3059\u3044\u8981\u56e0(\u3068\u305d\u306e\u8fc5\u901f\u306a\u5207\u308a\u5206\u3051\u65b9\u6cd5)<\/strong><\/h3>\n\n
\n
Wrong averaging\/combination in dB: \u5e73\u5747\u30fb\u52a0\u7b97\u306f\u5fc5\u305a\u30a8\u30cd\u30eb\u30ae\u9818\u57df\u3067\u884c\u3046\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059.<\/li>\n\n\n\n
FFT \u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u306e\u4e0d\u6574\u5408:1\/N \u306e\u53d6\u308a\u6271\u3044\u3001\u4e00\u5074\uff0f\u4e21\u5074\u3001\u0394f\u3001\u7a93\u6b63\u898f\u5316 U \u306a\u3069.<\/li>\n\n\n\n
\u7a93\u88dc\u6b63\u306e\u6b20\u5982:\u30ce\u30a4\u30ba\u3067\u306f ENBW\u3001\u30c8\u30fc\u30f3\u3067\u306f\u30b3\u30d2\u30fc\u30ec\u30f3\u30c8\u30b2\u30a4\u30f3\uff0f\u30ea\u30fc\u30b1\u30fc\u30b8\u88dc\u6b63\u304c\u5fc5\u8981\u3067\u3059.<\/li>\n\n\n\n
\u53b3\u5bc6\u306a\u5b9a\u7fa9\u3067\u306f\u306a\u304f\u3001\u516c\u79f0\u5468\u6ce2\u6570\u304b\u3089\u30d0\u30f3\u30c9\u7aef\u3092\u8a08\u7b97\u3057\u3066\u3044\u308b.<\/li>\n\n\n\n
\u30d0\u30f3\u30c9\u5883\u754c\u3067\u90e8\u5206\u30d3\u30f3\u91cd\u307f\u4ed8\u3051\u3092\u884c\u308f\u306a\u3044\u3053\u3068(\u7279\u306b\u4f4e\u5468\u6ce2\u6570\u3067\u306f\u81f4\u547d\u7684).<\/li>\n\n\n\n
\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u3067\u306e\u30de\u30eb\u30c1\u30ec\u30fc\u30c8\uff0f\u30a2\u30f3\u30c1\u30a8\u30a4\u30ea\u30a2\u30b9\u51e6\u7406\u306e\u554f\u984c.<\/li>\n\n\n\n
\u65b9\u5f0f\u9593\u3067\u5e73\u5747\u5316\u6642\u9593\u5b9a\u6570\uff0f\u7a93\u304c\u7570\u306a\u308b\u3053\u3068.<\/li>\n\n\n\n
\u624b\u6cd5\u305d\u306e\u3082\u306e\u306e\u9055\u3044:\u30d6\u30ea\u30c3\u30af\u30a6\u30a9\u30fc\u30eb\u30d3\u30cb\u30f3\u30b0\u3068\u6a19\u6e96\u30d5\u30a3\u30eb\u30bf\u306e\u30b9\u30ab\u30fc\u30c8\uff0f\u30ed\u30fc\u30eb\u30aa\u30d5\u306e\u9055\u3044\u306b\u3088\u308a\u3001\u7cfb\u7d71\u7684\u306a\u30aa\u30d5\u30bb\u30c3\u30c8\u304c\u751f\u3058\u307e\u3059.<\/li>\n<\/ol>\n\n
\u6709\u52b9\u306a\u30c7\u30d0\u30c3\u30b0\u624b\u9806\u3068\u3057\u3066\u306f\u3001\u307e\u305a\u30db\u30ef\u30a4\u30c8\u30ce\u30a4\u30ba\u3067\u5168\u5e73\u5747\u4e8c\u4e57\u5024\u3092\u4e00\u81f4\u3055\u305b(\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\uff0fENBW\uff0f\u90e8\u5206\u30d3\u30f3\u306e\u6574\u5408)\u3001\u305d\u306e\u5f8c\u30b9\u30a4\u30fc\u30d7\u3084\u30c8\u30fc\u30f3\u3092\u7528\u3044\u3066\u30d0\u30f3\u30c9\u4e2d\u5fc3\u3068\u96a3\u63a5\u30d0\u30f3\u30c9\u5206\u96e2\u3092\u691c\u8a3c\u3059\u308b\u65b9\u6cd5\u304c\u6319\u3052\u3089\u308c\u307e\u3059.<\/p>\n\n
\u30a8\u30f3\u30b8\u30cb\u30a2\u30ea\u30f3\u30b0\u30fb\u30c1\u30a7\u30c3\u30af\u30ea\u30b9\u30c8:1\/3 \u30aa\u30af\u30bf\u30fc\u30d6\u89e3\u6790\u3092\u6b63\u78ba\u30fb\u5b89\u5b9a\u30fb\u518d\u73fe\u53ef\u80fd\u306b\u3059\u308b<\/strong><\/h2>\n\n
\u624b\u6cd5\u306e\u9078\u629e:\u898f\u683c\u9069\u5408 \u2192 \u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u3001\u30aa\u30d5\u30e9\u30a4\u30f3\u7d71\u8a08 \u2192 FFT \u30d3\u30cb\u30f3\u30b0<\/strong><\/h3>\n\n
\n
\u898f\u5236\uff0f\u578b\u5f0f\u8a66\u9a13\uff0f\u6a5f\u5668\u9593\u6bd4\u8f03\u306b\u306f\u3001IEC\uff0fANSI \u6e96\u62e0\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u3092\u512a\u5148\u3057\u3001\u898f\u683c\u306e\u7248\u304a\u3088\u3073\u30af\u30e9\u30b9\u3092\u5831\u544a\u3057\u3066\u304f\u3060\u3055\u3044. [1][3]<\/li>\n\n\n\n
\u30aa\u30d5\u30e9\u30a4\u30f3\u51e6\u7406\u3001\u5927\u898f\u6a21\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3001\u67d4\u8edf\u306a\u30d0\u30f3\u30c9\u5b9a\u7fa9\u304c\u5fc5\u8981\u306a\u5834\u5408\u306b\u306f\u3001FFT \u30d3\u30cb\u30f3\u30b0\u304c\u52b9\u7387\u7684\u3067\u3059\u304c\u3001\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3068\u30d0\u30f3\u30c9\u7aef\u306e\u91cd\u307f\u4ed8\u3051\u306f\u53b3\u5bc6\u3067\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093.<\/li>\n\n\n\n
\u30d0\u30f3\u30c9\u3054\u3068\u306e\u6642\u9593\u9818\u57df\u4fe1\u53f7(\u5909\u8abf\u3001\u30a8\u30f3\u30d9\u30ed\u30fc\u30d7\u306a\u3069)\u304c\u5fc5\u8981\u306a\u5834\u5408\u306f\u3001FFT \u30b7\u30f3\u30bb\u30b7\u30b9\u307e\u305f\u306f\u660e\u793a\u7684\u306a\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u3092\u691c\u8a0e\u3057\u3066\u304f\u3060\u3055\u3044.<\/li>\n<\/ul>\n\n
\u6700\u4f4e\u30d0\u30f3\u30c9\u304b\u3089 FFT \u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u9078\u3076(\u4f8b)<\/strong><\/h3>\n\n
\u4f8b:fs = 48 kHz\u3001\u95a2\u5fc3\u306e\u3042\u308b\u6700\u4f4e\u30d0\u30f3\u30c9\u306f 20 Hz(1\/3 \u30aa\u30af\u30bf\u30fc\u30d6). \u3053\u306e\u30d0\u30f3\u30c9\u5e45\u306f\u6570 Hz \u7a0b\u5ea6\u3057\u304b\u3042\u308a\u307e\u305b\u3093. \u5c11\u306a\u304f\u3068\u3082 M=10 \u500b\u306e\u30d3\u30f3\u3092\u5404\u30d0\u30f3\u30c9\u306b\u542b\u3081\u305f\u3044\u5834\u5408\u3001\u0394f_bin \u2264 \u5e2f\u57df\u5e45\/10 \u304c\u5fc5\u8981\u3068\u306a\u308a\u3001\u975e\u5e38\u306b\u5927\u304d\u306a N(\u4f8b:\u304a\u3088\u305d 100k \u30dd\u30a4\u30f3\u30c8;2^17=131072)\u3092\u610f\u5473\u3057\u307e\u3059. \u3053\u308c\u306f\u3001\u30ea\u30a2\u30eb\u30bf\u30a4\u30e0\u306e\u898f\u683c\u6e96\u62e0\u89e3\u6790\u3067\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u304c\u3057\u3070\u3057\u3070\u597d\u307e\u308c\u308b\u7406\u7531\u3092\u793a\u3057\u3066\u3044\u307e\u3059.<\/p>\n\n
\u7d50\u679c\u306e\u4e00\u81f4\u3092\u59a8\u3052\u308b\u5178\u578b\u7684\u306a\u8aa4\u308a<\/strong><\/h3>\n\n
\n
|X| \u306e\u5927\u304d\u3055\u3092\u5408\u8a08\u3057\u3066\u3057\u307e\u3044\u3001|X|\u00b2 \u307e\u305f\u306f PSD \u3092\u5408\u8a08\u3057\u306a\u3044\u3053\u3068.<\/li>\n\n\n\n
\u7dda\u5f62\u306e\u96fb\u529b\uff0f\u5e73\u5747\u4e8c\u4e57\u5024\u3067\u306f\u306a\u304f\u3001dB \u3067\u5e73\u5747\u3057\u3066\u3057\u307e\u3046\u3053\u3068.<\/li>\n\n\n\n
\u30ce\u30a4\u30ba\u306b\u5bfe\u3057\u3066 ENBW\uff0f\u7a93\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3092\u7121\u8996\u3059\u308b\u3053\u3068. [7]<\/li>\n\n\n\n
\u30d0\u30f3\u30c9\u7aef\u3092\u516c\u79f0\u5468\u6ce2\u6570\u304b\u3089\u8a08\u7b97\u3057\u3066\u3057\u307e\u3046\u3053\u3068.<\/li>\n\n\n\n
\u6642\u9593\u91cd\u307f\u4ed8\u3051\uff0f\u5e73\u5747\u5316\u306e\u6761\u4ef6(Fast\uff0fSlow\uff0fLeq)\u3092\u660e\u793a\u3057\u306a\u3044\u3053\u3068. [5][6]<\/li>\n<\/ul>\n\n
Recommended validation flow(\u5b9f\u88c5\u306b\u4f9d\u5b58\u3057\u306a\u3044)<\/strong><\/h3>\n\n
\n
\u4e2d\u5fc3\u5468\u6ce2\u6570\u30c8\u30fc\u30f3\u8a66\u9a13(\u307e\u305f\u306f\u30b9\u30a4\u30fc\u30d7):\u30a8\u30cd\u30eb\u30ae\u304c\u6b63\u3057\u3044\u30d0\u30f3\u30c9\u3067\u30d4\u30fc\u30af\u306b\u306a\u308a\u3001\u96a3\u63a5\u30d0\u30f3\u30c9\u306e\u6291\u5727\u304c\u671f\u5f85\u3069\u304a\u308a\u3067\u3042\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3059\u308b.<\/li>\n\n\n\n
\u30db\u30ef\u30a4\u30c8\uff0f\u30d4\u30f3\u30af\u30ce\u30a4\u30ba:\u30d0\u30f3\u30c9\u30ec\u30d9\u30eb\u306e\u671f\u5f85\u3055\u308c\u308b\u30b9\u30da\u30af\u30c8\u30eb\u5f62\u72b6\u3092\u78ba\u8a8d\u3057\u3001\u5b89\u5b9a\u6027\uff0f\u5e73\u5747\u5316\u6642\u9593\u3092\u8a55\u4fa1\u3059\u308b.<\/li>\n\n\n\n
\u5b9f\u88c5\u9593\u6bd4\u8f03:\u540c\u4e00\u4fe1\u53f7\u3067\u65e2\u77e5\u306e\u30ea\u30d5\u30a1\u30ec\u30f3\u30b9\u5b9f\u88c5\u3068\u6bd4\u8f03\u3057\u3001\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\uff0f\u5b9a\u7fa9\uff0f\u30d5\u30a3\u30eb\u30bf\u30b9\u30ab\u30fc\u30c8\u306e\u9055\u3044\u3092\u5207\u308a\u5206\u3051\u308b.<\/li>\n\n\n\n
\u30d1\u30e9\u30e1\u30fc\u30bf(\u30d0\u30f3\u30c9\u5b9a\u7fa9\u3001\u7a93\u51e6\u7406\u3001\u5e73\u5747\u5316)\u3092\u30c6\u30b9\u30c8\u30ec\u30dd\u30fc\u30c8\u306b\u8a18\u9332\u3057\u3001\u56fa\u5b9a\u3057\u307e\u3059.<\/li>\n<\/ul>\n\n
\u518d\u73fe\u6027\u30c1\u30a7\u30c3\u30af\u30ea\u30b9\u30c8:\u4ed6\u8005\u304c\u30ec\u30d9\u30eb\u3092\u518d\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u3001\u30ec\u30dd\u30fc\u30c8\u306b\u5fc5\u305a\u542b\u3081\u308b\u9805\u76ee<\/strong><\/h3>\n\n
\n
\u30d0\u30f3\u30c9\u5b9a\u7fa9:base-10 \u304b base-2 \u304b? 1\/b \u306b\u304a\u3051\u308b b? \u8a08\u7b97\u306b\u306f\u53b3\u5bc6\u5024\u3092\u7528\u3044\u305f\u304b\u3001\u516c\u79f0\u5024\u3092\u7528\u3044\u305f\u304b? \u57fa\u6e96\u5468\u6ce2\u6570 fr?<\/li>\n\n\n\n
\u5b9f\u88c5:\u6a19\u6e96\u7684\u306a\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af(IIR\uff0fFIR\u3001\u30de\u30eb\u30c1\u30ec\u30fc\u30c8)\u304b\u3001FFT \u30d3\u30cb\u30f3\u30b0\uff0f\u30b7\u30f3\u30bb\u30b7\u30b9\u304b;\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\uff0f\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u30d0\u30fc\u30b8\u30e7\u30f3.<\/li>\n\n\n\n
\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\uff0f\u524d\u51e6\u7406:fs\u3001\u30c9\u30ea\u30d5\u30c8\u9664\u53bb\uff0f\u76f4\u6d41\u6210\u5206\u9664\u53bb\u3001\u30a2\u30f3\u30c1\u30a8\u30a4\u30ea\u30a2\u30b9\u30d5\u30a3\u30eb\u30bf\u3001\u30ea\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0.<\/li>\n\n\n\n
\u6642\u9593\u5e73\u5747:Leq\uff0f\u30d6\u30ed\u30c3\u30af RMS\uff0f\u6307\u6570\u5e73\u5747;\u6642\u9593\u5b9a\u6570\u3001\u30d6\u30ed\u30c3\u30af\u30b5\u30a4\u30ba\u3001\u30aa\u30fc\u30d0\u30fc\u30e9\u30c3\u30d7\u3001\u5e73\u5747\u30d5\u30ec\u30fc\u30e0\u6570;\u5fc5\u8981\u306b\u5fdc\u3058\u3066 Fast\uff0fSlow \u306e\u6587\u8108. <\/li>\n\n\n\n
FFT \u306e\u8a73\u7d30(\u4f7f\u7528\u3059\u308b\u5834\u5408):\u7a93\u306e\u7a2e\u985e\u3001N\u3001\u30db\u30c3\u30d7\u9577\u3001\u30bc\u30ed\u30d1\u30c7\u30a3\u30f3\u30b0\u3001PSD \u6b63\u898f\u5316\u3001\u4e00\u5074\u30b9\u30da\u30af\u30c8\u30eb\u306e\u6271\u3044\u3001ENBW\uff0fCG\u3001\u90e8\u5206\u30d3\u30f3\u91cd\u307f\u4ed8\u3051.<\/li>\n\n\n\n
\u8f03\u6b63\uff0f\u5358\u4f4d:\u5165\u529b\u5358\u4f4d\u3068\u57fa\u6e96\u91cf(\u4f8b:20 \u00b5Pa)\u3001\u30bb\u30f3\u30b5\u306e\u8f03\u6b63\u4fc2\u6570\u3068\u5b9f\u65bd\u65e5.<\/li>\n\n\n\n
\u51fa\u529b\u5b9a\u7fa9:RMS \u304b\u30d4\u30fc\u30af\u304b\u30d0\u30f3\u30c9\u96fb\u529b\u304b;10log \u304b 20log \u304b\u306e\u898f\u7d04;\u30d0\u30f3\u30c9\u96c6\u7d04\u624b\u9806\u306e\u6709\u7121.<\/li>\n<\/ul>\n\n
\u899a\u3048\u3066\u304a\u304f\u3079\u304d\u3053\u3068\u3092 1 \u884c\u306b\u307e\u3068\u3081\u308b\u3068\u3001\u300c\u30d0\u30f3\u30c9\u5b9a\u7fa9\uff0b\u6642\u9593\u5e73\u5747\uff0bFFT \u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\uff0f\u7a93\u51e6\u7406(\u4f7f\u7528\u3057\u3066\u3044\u308b\u5834\u5408)\u300d\u3092\u6587\u66f8\u5316\u3059\u308b\u3053\u3068\u3067\u3059. \u3053\u308c\u3060\u3051\u3067\u3001\u307b\u3068\u3093\u3069\u306e\u8ad6\u4e89\u306f\u6d88\u3048\u3066\u3057\u307e\u3044\u307e\u3059.<\/p>\n\n
Quick formulas and numeric example(\u3059\u3050\u306b\u30b3\u30fc\u30c9\uff0f\u30ec\u30dd\u30fc\u30c8\u306b\u4f7f\u3048\u308b)<\/strong><\/h2>\n\n
Base-10 \u306e 1\/3 \u30aa\u30af\u30bf\u30fc\u30d6\u5b9a\u6570<\/strong><\/h5>\n\n
G = 10^(3\/10) \u2248 1.995262\nr = 10^(1\/10) \u2248 1.258925 # adjacent center-frequency ratio\nk = 10^(1\/20) \u2248 1.122018 # edge multiplier about center\nf1 = fm \/ k\nf2 = fm * k<\/strong><\/code><\/pre>\n\n\u4f8b:1 kHz \u306e 1\/3 \u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9<\/h5>\n\nfm = 1000 Hz\nf1 = 1000 \/ 1.122018 \u2248 891.25 Hz\nf2 = 1000 * 1.122018 \u2248 1122.02 Hz\n\u0394f \u2248 230.77 Hz\nQ \u2248 4.33<\/strong><\/code><\/pre>\n\nOpenTest \u306f\u4e21\u65b9\u5f0f\u3092\u7d71\u5408\u3057\u3066\u3044\u307e\u3059.\u4eca\u3059\u3050\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u3057\u3066\u4f7f\u3044\u59cb\u3081\u308b><\/a>\u304b\u3001\u4e0b\u8a18\u30d5\u30a9\u30fc\u30e0\u306b\u5165\u529b\u3057\u3066\u30e9\u30a4\u30d6\u30c7\u30e2\u3092\u4e88\u7d04\u3057\u3066\u304f\u3060\u3055\u3044.<\/p>\n\n www.opentest.com<\/a> \u3067\u3001\u3055\u3089\u306b\u591a\u304f\u306e\u6a5f\u80fd\u3084\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u4e8b\u4f8b\u3092\u3054\u89a7\u304f\u3060\u3055\u3044.<\/p>\n\n <\/p>\n\n \u53c2\u8003<\/h5>\n\n[1] IEC 61260-1:2014 PDF \u30b5\u30f3\u30d7\u30eb(iTeh):https:\/\/cdn.standards.iteh.ai\/samples\/13383\/3c4ae3e762b540cc8111744cb8f0ae8e\/IEC-61260-1-2014.pdf<\/a><\/p>\n\n [3] ANSI S1.11-2004 \u30d7\u30ec\u30d3\u30e5\u30fc PDF(ASA\uff0fANSI):https:\/\/webstore.ansi.org\/preview-pages\/ASA\/preview_ANSI%2BS1.11-2004.pdf<\/a><\/p>\n\n [4] HEAD acoustics \u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u30ce\u30fc\u30c8:FFT - 1\/n \u30aa\u30af\u30bf\u30fc\u30d6\u89e3\u6790 - \u30a6\u30a7\u30fc\u30d6\u30ec\u30c3\u30c8(\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af\u306e\u8aac\u660e):https:\/\/cdn.head-acoustics.com\/fileadmin\/data\/global\/Application-Notes\/SVP\/FFT-nthOctave-Wavelet_e.pdf<\/a><\/p>\n\n [5] IEC 61672-1:2013(IEC \u30da\u30fc\u30b8):https:\/\/webstore.iec.ch\/en\/publication\/5708<\/a><\/p>\n\n [6] NTi Audio Know-how:Fast\uff0fSlow \u6642\u9593\u91cd\u307f\u4ed8\u3051(IEC 61672-1 \u306e\u6587\u8108):https:\/\/www.nti-audio.com\/en\/support\/know-how\/fast-slow-impulse-time-weighting-what-do-they-mean<\/a><\/p>\n\n [7] MathWorks:ENBW \u5b9a\u7fa9\u306e\u4f8b:https:\/\/www.mathworks.com\/help\/signal\/ref\/enbw.html<\/a><\/p>\n\n <\/p>\n","protected":false},"excerpt":{"rendered":" \u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u89e3\u6790\u306f\u3001\u57fa\u672c\u7684\u306b 2 \u3064\u306e\u65b9\u6cd5\u3067\u5b9f\u88c5\u3067\u304d\u307e\u3059.FFT \u30d3\u30cb\u30f3\u30b0(PSD\uff0fFFT \u30d3\u30f3\u3092 1\/1 \u304a\u3088\u3073 1\/3 \u30aa\u30af\u30bf\u30fc\u30d6\u30d0\u30f3\u30c9\u306b\u7d71\u5408\u3059\u308b\u65b9\u6cd5)\u3068\u3001\u771f\u306e\u30aa\u30af\u30bf\u30fc\u30d6\u30d5\u30a3\u30eb\u30bf\u30d0\u30f3\u30af(\u898f\u683c\u6e96\u62e0\u5fd7\u5411\u306e\u30d0\u30f3\u30c9\u30d1\u30b9\u30d5 [...]<\/p>\n","protected":false},"author":1,"featured_media":285117,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_eb_attr":"","content-type":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[1061,1056],"tags":[],"class_list":["post-285108","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-e3-83-8a-e3-83-ac-e3-83-83-e3-82-b8-e3-83-99-e3-83-bc-e3-82-b9","category-e3-83-96-e3-83-ad-e3-82-b0"],"blocksy_meta":[],"acf":[],"jetpack_featured_media_url":"https:\/\/design.crysound.com\/wp-content\/uploads\/2026\/02\/39.webp","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/design.crysound.com\/ja\/wp-json\/wp\/v2\/posts\/285108","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/design.crysound.com\/ja\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/design.crysound.com\/ja\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/design.crysound.com\/ja\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/design.crysound.com\/ja\/wp-json\/wp\/v2\/comments?post=285108"}],"version-history":[{"count":0,"href":"https:\/\/design.crysound.com\/ja\/wp-json\/wp\/v2\/posts\/285108\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/design.crysound.com\/ja\/wp-json\/wp\/v2\/media\/285117"}],"wp:attachment":[{"href":"https:\/\/design.crysound.com\/ja\/wp-json\/wp\/v2\/media?parent=285108"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/design.crysound.com\/ja\/wp-json\/wp\/v2\/categories?post=285108"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/design.crysound.com\/ja\/wp-json\/wp\/v2\/tags?post=285108"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}