{"id":953,"date":"2026-10-15T04:00:00","date_gmt":"2026-10-14T19:00:00","guid":{"rendered":"https:\/\/quantumsea.net\/?p=953"},"modified":"2026-10-14T10:52:37","modified_gmt":"2026-10-14T01:52:37","slug":"qs-fft-zero-padding-resolution-20261014","status":"publish","type":"post","link":"https:\/\/quantumsea.net\/?p=953","title":{"rendered":"FFT\u306e\u30bc\u30ed\u57cb\u3081\u3001\u5468\u6ce2\u6570\u306e\u523b\u307f\u3068\u5206\u89e3\u80fd\u306e\u9055\u3044"},"content":{"rendered":"<p>\u97f3\u3084\u632f\u52d5\u306e\u8a18\u9332\u3092FFT\u306b\u304b\u3051\u308b\u3068\u3001\u3069\u306e\u5468\u6ce2\u6570\u304c\u5f37\u3044\u304b\u3092\u5c71\u306e\u5f62\u3067\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u8a08\u7b97\u3059\u308b\u70b9\u3092\u5897\u3084\u3057\u305f\u3089\u3001\u305d\u306e\u5c71\u304c\u6ed1\u3089\u304b\u306b\u306a\u308a\u3001\u9802\u70b9\u306e\u4f4d\u7f6e\u3082\u7d30\u304b\u304f\u8aad\u3081\u308b\u3088\u3046\u306b\u306a\u3063\u305f\u3002\u3051\u308c\u3069\u3001\u305d\u308c\u3060\u3051\u3067\u8fd1\u63a5\u3057\u305f\u4e8c\u3064\u306e\u632f\u52d5\u3092\u898b\u5206\u3051\u308b\u529b\u307e\u3067\u5897\u3048\u305f\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\u3053\u306e\u9055\u3044\u3092\u6574\u7406\u3059\u308b\u9375\u304c\u3001<strong>\u30bc\u30ed\u57cb\u3081\uff08zero-padding\uff09<\/strong>\u3067\u3059\u3002\u8a18\u9332\u6e08\u307f\u306e\u30c7\u30fc\u30bf\u306e\u5f8c\u308d\u306b0\u3092\u8db3\u3057\u3001FFT\u306e\u51fa\u529b\u3092\u7d30\u304b\u306a\u5468\u6ce2\u6570\u9593\u9694\u3067\u5f97\u308b\u65b9\u6cd5\u3067\u3059\u3002SciPy 1.14.1\u306e\u516c\u5f0f\u89e3\u8aac\u3068\u95a2\u6570\u4ed5\u69d8\u3092\u3082\u3068\u306b\u3001\u8a08\u7b97\u306e\u523b\u307f\u3001\u89b3\u6e2c\u6642\u9593\u3001\u7a93\u95a2\u6570\u304c\u305d\u308c\u305e\u308c\u4f55\u3092\u5909\u3048\u308b\u304b\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<section class=\"influvetor-quick-summary\" aria-label=\"\u7c21\u5358\u306b\u307e\u3068\u3081\u308b\u3068\uff1f\">\n<p><strong>\u7c21\u5358\u306b\u307e\u3068\u3081\u308b\u3068\uff1f<\/strong><\/p>\n<ul>\n<li>\u30bc\u30ed\u57cb\u3081\u306f\u3001\u540c\u3058\u8a18\u9332\u304b\u3089\u30b9\u30da\u30af\u30c8\u30eb\u3092\u8aad\u3080\u5468\u6ce2\u6570\u306e\u523b\u307f\u3092\u7d30\u304b\u304f\u3057\u307e\u3059\u3002\u65b0\u3057\u3044\u89b3\u6e2c\u5024\u306f\u5897\u3048\u307e\u305b\u3093\u3002<\/li>\n<li>\u8fd1\u3044\u5468\u6ce2\u6570\u306e\u6210\u5206\u3092\u898b\u5206\u3051\u308b\u306b\u306f\u3001\u89b3\u6e2c\u6642\u9593\u3068\u7a93\u95a2\u6570\u304c\u6c7a\u3081\u308b\u5c71\u306e\u5e45\u3001\u96d1\u97f3\u3001\u6210\u5206\u306e\u5f37\u3055\u306e\u5dee\u3092\u78ba\u304b\u3081\u307e\u3059\u3002<\/li>\n<li>\u30d4\u30fc\u30af\u4f4d\u7f6e\u3092\u8aad\u3080\u305f\u3081\u306eFFT\u70b9\u6570\u3068\u3001\u632f\u5e45\u30fb\u30d1\u30ef\u30fc\u3092\u305d\u308d\u3048\u308b\u305f\u3081\u306e\u6b63\u898f\u5316\u306f\u3001\u5225\u3005\u306b\u8a2d\u5b9a\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<\/section>\n<h2>FFT\u306e\u70b9\u6570\u3068\u3001\u5b9f\u969b\u306b\u8a18\u9332\u3057\u305f\u70b9\u6570\u3092\u5206\u3051\u308b<\/h2>\n<p>FFT\u306f\u9ad8\u901f\u30d5\u30fc\u30ea\u30a8\u5909\u63db\u306e\u7565\u3067\u3001\u96e2\u6563\u30d5\u30fc\u30ea\u30a8\u5909\u63db\uff08DFT\uff09\u3092\u52b9\u7387\u3088\u304f\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002\u6642\u9593\u9806\u306b\u4e26\u3093\u3060\u4fe1\u53f7\u3092\u3001\u7570\u306a\u308b\u5468\u6ce2\u6570\u306e\u6ce2\u304c\u3069\u308c\u3060\u3051\u542b\u307e\u308c\u308b\u304b\u3068\u3044\u3046\u8868\u73fe\u3078\u5909\u63db\u3057\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u7b49\u9593\u9694\u3067\u53d6\u5f97\u3057\u305f\u30c7\u30fc\u30bf\u3092\u6271\u3044\u307e\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-1\">\uff3b1\uff3d<\/a><a href=\"#ref-2\">\uff3b2\uff3d<\/a><\/sup><\/p>\n<p>1\u79d2\u3042\u305f\u308a\u306b\u8a18\u9332\u3059\u308b\u70b9\u6570\u3092\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5468\u6ce2\u6570 <code>fs<\/code>\u3001\u5b9f\u30c7\u30fc\u30bf\u306e\u70b9\u6570\u3092 <code>N<\/code>\u3001FFT\u306e\u8a08\u7b97\u70b9\u6570\u3092 <code>M<\/code> \u3068\u7f6e\u304d\u307e\u3059\u3002\u30bc\u30ed\u57cb\u3081\u3092\u3057\u306a\u3051\u308c\u3070 <code>M=N<\/code> \u3067\u3059\u3002<code>M&gt;N<\/code> \u306b\u3059\u308b\u3068\u3001\u8db3\u308a\u306a\u3044\u90e8\u5206\u306b0\u3092\u4e26\u3079\u3066\u304b\u3089\u5909\u63db\u3057\u307e\u3059\u3002SciPy\u306e <code>fft(x, n=M)<\/code> \u306f\u3053\u306e\u52d5\u4f5c\u3092\u3057\u307e\u3059\u3002\u9006\u306b\u5165\u529b\u3088\u308a\u5c0f\u3055\u3044 <code>n<\/code> \u3092\u6307\u5b9a\u3059\u308b\u3068\u3001\u30c7\u30fc\u30bf\u304c\u5207\u308a\u8a70\u3081\u3089\u308c\u308b\u70b9\u306b\u306f\u6ce8\u610f\u304c\u5fc5\u8981\u3067\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-2\">\uff3b2\uff3d<\/a><\/sup><\/p>\n<p>\u51fa\u529b\u306e\u5468\u6ce2\u6570\u306e\u523b\u307f\u306f <strong><code>\u0394f=fs\/M<\/code><\/strong> \u3067\u3059\u3002\u4e00\u65b9\u3001\u5b9f\u30c7\u30fc\u30bf\u306b\u5bfe\u5fdc\u3059\u308b\u89b3\u6e2c\u533a\u9593\u306e\u9577\u3055\u306f <strong><code>\u03c4=N\/fs<\/code><\/strong>\u3002\u3053\u306e\u4e8c\u3064\u306f\u3001\u30bc\u30ed\u57cb\u3081\u3092\u59cb\u3081\u308b\u3068\u540c\u3058\u70b9\u6570\u3067\u306f\u6c7a\u307e\u308a\u307e\u305b\u3093\u3002\u3053\u3053\u3067\u306e\u533a\u9593\u9577\u306f\u516c\u5f0f\u89e3\u8aac\u3068\u540c\u3058\u304f\u300c\u70b9\u6570\u00d7\u30b5\u30f3\u30d7\u30eb\u9593\u9694\u300d\u3067\u8868\u3057\u3001\u6700\u521d\u3068\u6700\u5f8c\u306e\u30b5\u30f3\u30d7\u30eb\u6642\u523b\u306e\u5dee <code>(N\u22121)\/fs<\/code> \u3068\u306f\u533a\u5225\u3057\u307e\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-1\">\uff3b1\uff3d<\/a><\/sup><\/p>\n<div style=\"max-width:720px;margin:1.5em auto;overflow-x:auto;\">\n<table style=\"width:720px;min-width:640px;border-collapse:collapse;\">\n<caption>fs=1,000 Hz\u3068\u3057\u305f\u8a08\u7b97\u4f8b\u3002C\u3060\u3051\u306f\u3001\u540c\u3058\u73fe\u8c61\u3092\u5b9f\u969b\u306b4\u79d2\u9593\u8a18\u9332\u3057\u76f4\u3059\u3002<\/caption>\n<thead>\n<tr>\n<th scope=\"col\">\u6761\u4ef6<\/th>\n<th scope=\"col\">\u5b9f\u30c7\u30fc\u30bf N<\/th>\n<th scope=\"col\">\u89b3\u6e2c\u533a\u9593 \u03c4<\/th>\n<th scope=\"col\">FFT\u70b9\u6570 M<\/th>\n<th scope=\"col\">\u523b\u307f \u0394f<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<th scope=\"row\">A\uff1a\u305d\u306e\u307e\u307e\u5909\u63db<\/th>\n<td>1,000\u70b9<\/td>\n<td>1\u79d2<\/td>\n<td>1,000\u70b9<\/td>\n<td>1 Hz<\/td>\n<\/tr>\n<tr>\n<th scope=\"row\">B\uff1a0\u30923,000\u70b9\u8ffd\u52a0<\/th>\n<td>1,000\u70b9<\/td>\n<td>1\u79d2<\/td>\n<td>4,000\u70b9<\/td>\n<td>0.25 Hz<\/td>\n<\/tr>\n<tr>\n<th scope=\"row\">C\uff1a\u89b3\u6e2c\u30924\u79d2\u3078\u5ef6\u9577<\/th>\n<td>4,000\u70b9<\/td>\n<td>4\u79d2<\/td>\n<td>4,000\u70b9<\/td>\n<td>0.25 Hz<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>B\u3068C\u306f\u3001\u3069\u3061\u3089\u30820.25 Hz\u523b\u307f\u306e\u7d50\u679c\u3092\u8fd4\u3057\u307e\u3059\u3002\u3057\u304b\u3057B\u306e\u5f8c\u534a\u306f\u4f5c\u3063\u305f0\u3067\u3042\u308a\u3001C\u306e\u5f8c\u534a\u306f\u65b0\u305f\u306a\u89b3\u6e2c\u5024\u3067\u3059\u3002<strong>FFT\u70b9\u6570\u304c\u540c\u3058\u3068\u3044\u3046\u3060\u3051\u3067\u306f\u3001\u540c\u3058\u60c5\u5831\u3092\u6301\u3064\u6e2c\u5b9a\u306b\u306f\u306a\u308a\u307e\u305b\u3093\u3002<\/strong>\u3053\u306e\u8868\u306f\u95a2\u4fc2\u5f0f\u3092\u7528\u3044\u305f\u8aac\u660e\u4f8b\u3067\u3001\u30bb\u30f3\u30b5\u30fc\u306b\u3088\u308b\u5b9f\u6e2c\u7d50\u679c\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<h2>\u5c71\u306e\u9593\u3092\u7d30\u304b\u304f\u8aad\u3093\u3067\u3082\u3001\u5c71\u305d\u306e\u3082\u306e\u306f\u72ed\u304f\u306a\u3089\u306a\u3044<\/h2>\n<p>\u8a18\u9332\u30921\u79d2\u3067\u5207\u308a\u51fa\u3059\u3053\u3068\u306f\u3001\u305d\u306e\u5916\u5074\u3092\u898b\u306a\u3044\u300c\u7a93\u300d\u3092\u4fe1\u53f7\u306b\u639b\u3051\u308b\u3053\u3068\u306b\u76f8\u5f53\u3057\u307e\u3059\u3002\u533a\u9593\u5185\u3092\u305d\u306e\u307e\u307e\u4f7f\u3046\u77e9\u5f62\u7a93\u3067\u306f\u3001\u5358\u4e00\u306e\u5468\u6ce2\u6570\u6210\u5206\u3082\u3001\u5468\u6ce2\u6570\u8ef8\u4e0a\u3067\u4e2d\u592e\u306e\u5c71\u3068\u5468\u8fba\u306e\u5c0f\u3055\u306a\u5c71\u3092\u6301\u3064\u5f62\u306b\u306a\u308a\u307e\u3059\u3002\u4e2d\u592e\u3092<strong>\u4e3b\u30ed\u30fc\u30d6<\/strong>\u3001\u5468\u8fba\u3092<strong>\u30b5\u30a4\u30c9\u30ed\u30fc\u30d6<\/strong>\u3068\u547c\u3073\u307e\u3059\u3002\u6709\u9650\u6642\u9593\u3067\u5207\u308a\u51fa\u3057\u305f\u305f\u3081\u306b\u4ed6\u306e\u5468\u6ce2\u6570\u3078\u5e83\u304c\u3063\u3066\u898b\u3048\u308b\u73fe\u8c61\u304c\u3001\u30b9\u30da\u30af\u30c8\u30eb\u6f0f\u308c\u3067\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-1\">\uff3b1\uff3d<\/a><\/sup><\/p>\n<p>\u30bc\u30ed\u57cb\u3081\u306f\u3001\u305d\u306e\u5e83\u304c\u308a\u3092\u6301\u3064\u30b9\u30da\u30af\u30c8\u30eb\u3092\u3001\u3088\u308a\u591a\u304f\u306e\u5468\u6ce2\u6570\u4f4d\u7f6e\u3067\u8a08\u7b97\u3057\u76f4\u3057\u307e\u3059\u3002\u8ffd\u52a0\u3057\u305f0\u306e\u9805\u306f\u548c\u306e\u5024\u306b\u5bc4\u4e0e\u3057\u306a\u3044\u306e\u3067\u3001\u5143\u306e\u8a18\u9332\u304c\u4f5c\u308b\u5468\u6ce2\u6570\u3054\u3068\u306e\u5f62\u81ea\u4f53\u3092\u5909\u3048\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u7c97\u3044\u523b\u307f\u3067\u306f\u98db\u3073\u8d8a\u3048\u3066\u3044\u305f\u9802\u70b9\u4ed8\u8fd1\u3092\u8aad\u3081\u308b\u3053\u3068\u304c\u3001\u898b\u305f\u76ee\u304c\u6ed1\u3089\u304b\u306b\u306a\u308b\u7406\u7531\u3067\u3059\u3002<\/p>\n<p>\u5e45\u3092\u8003\u3048\u308b\u305f\u3081\u306e\u5358\u7d14\u306a\u4f8b\u3068\u3057\u3066\u3001\u96d1\u97f3\u306e\u306a\u3044\u4e00\u3064\u306e\u8907\u7d20\u6b63\u5f26\u6ce2\u3001\u3064\u307e\u308a\u632f\u52d5\u306e\u4f4d\u76f8\u3092\u8907\u7d20\u6570\u3067\u8868\u3057\u305f\u7406\u60f3\u7684\u306a\u5358\u4e00\u5468\u6ce2\u6570\u306e\u4fe1\u53f7\u3092\u3001\u77e9\u5f62\u7a93\u3067\u7b49\u9593\u9694\u306b\u5207\u308a\u51fa\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u4e2d\u592e\u306e\u9802\u70b9\u304b\u3089\u6700\u521d\u306e\u96f6\u70b9\u307e\u3067\u306e\u8ddd\u96e2\u306f <code>fs\/N=1\/\u03c4<\/code>\u3001\u5de6\u53f3\u306e\u96f6\u70b9\u9593\u306e\u5e45\u306f <code>2\/\u03c4<\/code> \u3067\u3059\u3002\u5148\u307b\u3069\u306eA\u3068B\u3067\u306f\u5e45\u304c\u3068\u3082\u306b2 Hz\u3001C\u3067\u306f0.5 Hz\u306b\u306a\u308a\u307e\u3059\u3002B\u306e\u523b\u307f\u306f\u7d30\u304b\u304f\u3066\u3082\u3001\u7a93\u304c\u6c7a\u3081\u308b\u5e45\u306fA\u3068\u540c\u3058\u3067\u3059\u3002\u3053\u308c\u306f\u7a93\u306e\u5468\u6ce2\u6570\u5fdc\u7b54\u304b\u3089\u5f97\u3089\u308c\u308b\u4f8b\u3067\u3042\u308a\u3001\u5b9f\u4fe1\u53f7\u306e\u3042\u3089\u3086\u308b\u30d4\u30fc\u30af\u5f62\u72b6\u3092\u3053\u306e\u5e45\u306b\u56fa\u5b9a\u3059\u308b\u8aac\u660e\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u300c\u5206\u89e3\u80fd\u300d\u3068\u3044\u3046\u8a00\u8449\u3092\u3001\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u306b\u3088\u3063\u3066\u306f\u5468\u6ce2\u6570\u306e\u523b\u307f\u306e\u610f\u5473\u3067\u4f7f\u3046\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u3001<strong>\u0394f\u306f\u7d50\u679c\u3092\u4e26\u3079\u308b\u523b\u307f\u3001\u4e8c\u3064\u306e\u8fd1\u3044\u6210\u5206\u3092\u898b\u5206\u3051\u308b\u80fd\u529b\u306f\u5225\u306e\u5224\u65ad<\/strong>\u3068\u3057\u3066\u6271\u3044\u307e\u3059\u3002\u4e3b\u30ed\u30fc\u30d6\u5e45\u306f\u305d\u306e\u5224\u65ad\u6750\u6599\u3067\u3059\u304c\u3001\u4e00\u5b9a\u306e\u9593\u9694\u3092\u8d85\u3048\u308c\u3070\u5fc5\u305a\u4e8c\u3064\u306b\u5206\u304b\u308c\u308b\u3068\u3044\u3046\u4e07\u80fd\u306e\u5883\u754c\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u7a93\u306e\u7a2e\u985e\u3001\u4e8c\u6210\u5206\u306e\u5f37\u3055\u3068\u4f4d\u76f8\u3001\u96d1\u97f3\u3001\u63a1\u7528\u3059\u308b\u63a8\u5b9a\u65b9\u6cd5\u306b\u3088\u3063\u3066\u898b\u3048\u65b9\u306f\u5909\u308f\u308a\u307e\u3059\u3002<\/p>\n<h2>\u516c\u5f0f\u56f3\u304c\u793a\u3059\u306e\u306f\u3001\u4e8c\u3064\u306e\u5225\u3005\u306e\u4fe1\u53f7\u306e\u6bd4\u8f03<\/h2>\n<p>\u6b21\u306e\u539f\u56f3\u306f\u3001SciPy\u306e\u516c\u5f0f\u89e3\u8aac\u306b\u3042\u308b\u300120 Hz\u306820.5 Hz\u306e\u6b63\u5f26\u6ce2\u3092<strong>\u305d\u308c\u305e\u308c\u5225\u306b<\/strong>\u8abf\u3079\u305f\u4f8b\u3067\u3059\u3002\u4e21\u65b9\u3068\u3082100 Hz\u3067100\u70b9\u30011\u79d2\u9593\u306e\u8a18\u9332\u3092\u4f7f\u3044\u3001Hann\u7a93\u3092\u639b\u3051\u3066\u3044\u307e\u3059\u3002\u83f1\u5f62\u306e\u70b9\u306f\u30bc\u30ed\u57cb\u3081\u306a\u3057\u3001\u7d30\u304b\u306a\u70b9\u3092\u3064\u306a\u3044\u3060\u7dda\u306fFFT\u70b9\u6570\u30923\u500d\u306b\u3057\u305f\u7d50\u679c\u3067\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-1\">\uff3b1\uff3d<\/a><a href=\"#ref-4\">\uff3b4\uff3d<\/a><\/sup><\/p>\n<figure style=\"max-width:720px;margin:1.5em auto;\">\n<div style=\"overflow-x:auto;\"><a href=\"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/10\/qs-fft-zero-padding-resolution-20261014-source-figure-dda8fec4a31d.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/10\/qs-fft-zero-padding-resolution-20261014-source-figure-dda8fec4a31d.png\" width=\"576\" height=\"288\" alt=\"SciPy\u516c\u5f0f\u56f3\u3002\u5de6\u306f20 Hz\u3001\u53f3\u306f20.5 Hz\u306e\u5225\u3005\u306e\u6b63\u5f26\u6ce2\u3002Hann\u7a93\u3092\u639b\u3051\u305f\u540c\u3058100\u70b9\u306e\u8a18\u9332\u3092\u3001100\u70b9FFT\u306e\u83f1\u5f62\u3068300\u70b9FFT\u306e\u7d30\u304b\u306a\u70b9\u3067\u6bd4\u8f03\u3057\u3066\u3044\u308b\u3002\" style=\"display:block;width:576px;min-width:576px;max-width:none;height:auto;margin:0 auto;\"><\/a><\/div><figcaption>\u56f31\u3000Hann\u7a93\u3092\u4f7f\u3063\u305f\u632f\u5e45\u30b9\u30da\u30af\u30c8\u30eb\u30683\u500d\u306e\u30bc\u30ed\u57cb\u3081\u3002\u5de6\u53f3\u306f\u5408\u6210\u3057\u305f\u4e8c\u6210\u5206\u3067\u306f\u306a\u304f\u3001\u5225\u3005\u306e\u5165\u529b\u3002\u539f\u56f3\u306e\u7e26\u8ef8\u306f\u7247\u5074\u30922\u500d\u3057\u306a\u3044\u8868\u73fe\u3067\u3001\u5358\u4f4d\u632f\u5e45\u306e\u6b63\u5f26\u6ce2\u306e\u9802\u70b9\u306f\u7d040.5\u3068\u306a\u308b\u3002SciPy 1.14.1 User Guide\u300cSpectral Analysis\u300d\u3088\u308a\u3001\u539f\u56f3\u3092\u7121\u6539\u5909\u3067\u63b2\u8f09\u3002Copyright (c) 2001\u20132002 Enthought, Inc.; 2003\u20132024 SciPy Developers. BSD 3-Clause\u3001\u672b\u5c3e\u306e\u30e9\u30a4\u30bb\u30f3\u30b9\u8868\u793a\u3092\u53c2\u7167\u3002<\/figcaption><\/figure>\n<p>\u53f3\u5074\u3067\u306f\u30011 Hz\u523b\u307f\u306e\u83f1\u5f62\u3060\u3051\u3092\u898b\u308b\u3068\u300120.5 Hz\u306e\u9802\u70b9\u3092\u76f4\u63a5\u8aad\u3081\u307e\u305b\u3093\u30021\/3 Hz\u523b\u307f\u306b\u3059\u308b\u3068\u9802\u70b9\u306e\u8fd1\u304f\u3092\u6349\u3048\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002\u305f\u3060\u305720.5 Hz\u306f\u305d\u306e\u523b\u307f\u306b\u3082\u53b3\u5bc6\u306b\u306f\u4e57\u3089\u306a\u3044\u305f\u3081\u3001\u7d30\u304b\u304f\u3057\u305f\u304b\u3089\u9802\u70b9\u305d\u306e\u3082\u306e\u3092\u5fc5\u305a\u8a08\u7b97\u3057\u305f\u3053\u3068\u306b\u306a\u308b\u308f\u3051\u3067\u3082\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u3053\u306e\u56f3\u306f\u300c20 Hz\u306820.5 Hz\u304c\u540c\u6642\u306b\u542b\u307e\u308c\u308b\u4fe1\u53f7\u3092\u5206\u96e2\u3067\u304d\u305f\u300d\u3068\u3044\u3046\u5b9f\u9a13\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u307e\u305f\u3001Hann\u7a93\u306f\u30b5\u30a4\u30c9\u30ed\u30fc\u30d6\u3092\u6291\u3048\u308b\u4e00\u65b9\u3067\u4e3b\u30ed\u30fc\u30d6\u3092\u5e83\u3052\u308b\u306e\u3067\u3001\u77e9\u5f62\u7a93\u3068\u6bd4\u3079\u305f\u5c71\u306e\u5e45\u306e\u5909\u5316\u3092\u3001\u30bc\u30ed\u57cb\u3081\u306e\u52b9\u679c\u3060\u3051\u306b\u5e30\u3059\u3053\u3068\u3082\u3067\u304d\u307e\u305b\u3093\u3002\u56f3\u306e\u5165\u529b\u3001\u7a93\u3001FFT\u70b9\u6570\u3092\u5206\u3051\u3066\u8aad\u3080\u3068\u3001\u6ed1\u3089\u304b\u306a\u5c71\u3092\u904e\u5927\u8a55\u4fa1\u3057\u306b\u304f\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u632f\u5e45\u3092\u6bd4\u3079\u308b\u3068\u304d\u306f\u30010\u306e\u6570\u3067\u5272\u3089\u306a\u3044<\/h2>\n<p>FFT\u306e\u70b9\u6570\u3092\u5897\u3084\u3057\u305f\u5f8c\u3001\u632f\u5e45\u307e\u3067\u5c0f\u3055\u304f\u306a\u3063\u305f\u3088\u3046\u306b\u898b\u3048\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u78ba\u8a8d\u3057\u305f\u3044\u306e\u304c<strong>\u6b63\u898f\u5316<\/strong>\u3001\u3064\u307e\u308a\u8a08\u7b97\u7d50\u679c\u3092\u4f55\u3067\u5272\u3063\u3066\u8868\u793a\u3059\u308b\u304b\u3067\u3059\u3002SciPy\u306e <code>fft<\/code> \u306e\u65e2\u5b9a\u5024 <code>norm=\"backward\"<\/code> \u306f\u3001\u9806\u65b9\u5411\u306e\u5909\u63db\u3067\u306f\u70b9\u6570\u306b\u3088\u308b\u5272\u308a\u7b97\u3092\u884c\u3044\u307e\u305b\u3093\u3002<sup class=\"source-note\"><a href=\"#ref-2\">\uff3b2\uff3d<\/a><\/sup><\/p>\n<p>\u77e9\u5f62\u7a93\u3067\u5f97\u305f\u540c\u3058\u8a18\u9332\u306e\u632f\u5e45\u3092\u6bd4\u3079\u308b\u306a\u3089\u3001\u30bc\u30ed\u57cb\u3081\u5f8c\u306e <code>M<\/code> \u3092\u7121\u6761\u4ef6\u306b\u5206\u6bcd\u306b\u3057\u306a\u3044\u3053\u3068\u304c\u5927\u5207\u3067\u3059\u3002<code>N<\/code> \u70b9\u306e\u5143\u306e\u8a18\u9332\u30924\u500d\u306eFFT\u306b\u3057\u305f\u3068\u304d\u3001\u540c\u3058\u5468\u6ce2\u6570\u306e\u5909\u63db\u5024\u3092 <code>M=4N<\/code> \u3067\u5272\u308c\u3070\u3001<code>N<\/code> \u3067\u5272\u3063\u305f\u8868\u793a\u306e4\u5206\u306e1\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u4fe1\u53f7\u306e\u632f\u5e45\u304c\u6e1b\u3063\u305f\u8a3c\u62e0\u306b\u306f\u306a\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u7a93\u3092\u639b\u3051\u305f\u632f\u5e45\u8868\u793a\u3067\u306f\u3001\u516c\u5f0f\u89e3\u8aac\u306f\u7a93\u306e\u91cd\u307f\u306e\u548c\u306e\u7d76\u5bfe\u5024 <code>|\u03a3w|<\/code> \u3067\u306e\u6b63\u898f\u5316\u3092\u8aac\u660e\u3057\u3066\u3044\u307e\u3059\u3002\u56f31\u306e\u63cf\u753b\u30b3\u30fc\u30c9\u3082\u3001\u30bc\u30ed\u57cb\u3081\u524d\u5f8c\u3067\u540c\u3058\u5024\u3092\u5206\u6bcd\u306b\u3057\u3066\u3044\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u6709\u9650\u306e\u523b\u307f\u304c\u771f\u306e\u9802\u70b9\u3092\u5916\u3059\u3053\u3068\u306b\u3088\u308b\u8aa4\u5dee\u307e\u3067\u3001\u6b63\u898f\u5316\u3060\u3051\u3067\u6d88\u3048\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u5b9f\u4fe1\u53f7\u306e\u7247\u5074\u30b9\u30da\u30af\u30c8\u30eb\u30922\u500d\u3059\u308b\u304b\u3069\u3046\u304b\u3082\u3001\u5225\u306e\u8868\u793a\u4e0a\u306e\u7d04\u675f\u3067\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-1\">\uff3b1\uff3d<\/a><a href=\"#ref-4\">\uff3b4\uff3d<\/a><\/sup><\/p>\n<p>\u3055\u3089\u306b\u3001\u632f\u5e45\u306e\u8868\u793a\u3068\u30d1\u30ef\u30fc\u30b9\u30da\u30af\u30c8\u30eb\u5bc6\u5ea6\uff08PSD\uff09\u306f\u7570\u306a\u308a\u307e\u3059\u3002SciPy\u306e <code>periodogram<\/code> \u3067\u306f\u3001\u5165\u529b\u304cV\u3001\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5468\u6ce2\u6570\u304cHz\u306a\u3089\u3001<code>scaling=\"density\"<\/code> \u306fV\u00b2\/Hz\u3001<code>scaling=\"spectrum\"<\/code> \u306fV\u00b2\u3068\u306a\u308a\u307e\u3059\u3002\u7a93\u3084\u8868\u793a\u65b9\u5f0f\u3092\u5909\u3048\u305f\u30b0\u30e9\u30d5\u306e\u7e26\u8ef8\u3092\u3001\u305d\u306e\u307e\u307e\u540c\u3058\u300c\u5f37\u3055\u300d\u3068\u3057\u3066\u6bd4\u8f03\u3057\u306a\u3044\u3088\u3046\u306b\u3057\u307e\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-3\">\uff3b3\uff3d<\/a><\/sup><\/p>\n<h2>\u4f55\u3092\u6539\u5584\u3057\u305f\u3044\u304b\u3067\u3001\u5909\u3048\u308b\u8a2d\u5b9a\u3092\u9078\u3076<\/h2>\n<p>\u4e00\u3064\u306e\u5c71\u306e\u9802\u70b9\u4ed8\u8fd1\u3092\u7d30\u304b\u304f\u8aad\u307f\u305f\u3044\u306a\u3089\u3001\u30bc\u30ed\u57cb\u3081\u306f\u5f79\u306b\u7acb\u3061\u307e\u3059\u3002\u4e00\u65b9\u3001\u96a3\u308a\u5408\u3046\u6210\u5206\u304c\u91cd\u306a\u3063\u3066\u898b\u3048\u308b\u306a\u3089\u3001\u307e\u305a\u89b3\u6e2c\u533a\u9593\u3092\u9577\u304f\u3067\u304d\u308b\u304b\u3001\u7a93\u306e\u4e3b\u30ed\u30fc\u30d6\u5e45\u3068\u30b5\u30a4\u30c9\u30ed\u30fc\u30d6\u304c\u76ee\u7684\u306b\u5408\u3046\u304b\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002\u9577\u304f\u8a18\u9332\u3059\u308b\u5834\u5408\u3082\u3001\u305d\u306e\u9593\u306b\u56de\u8ee2\u6570\u3084\u632f\u52d5\u72b6\u614b\u304c\u5909\u308f\u308c\u3070\u3001\u4e00\u3064\u306e\u5b9a\u5e38\u7684\u306a\u30b9\u30da\u30af\u30c8\u30eb\u3068\u3057\u3066\u307e\u3068\u3081\u308b\u5224\u65ad\u305d\u306e\u3082\u306e\u3092\u898b\u76f4\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5468\u6ce2\u6570\u3092\u4e0a\u3052\u308b\u3068\u304d\u3082\u3001\u4f55\u3092\u56fa\u5b9a\u3059\u308b\u304b\u3067\u7d50\u679c\u304c\u5909\u308f\u308a\u307e\u3059\u3002\u30bc\u30ed\u57cb\u3081\u306a\u3057\u3067\u30011\u79d2\u9593\u306e\u8a18\u9332\u30921,000 Hz\u304b\u30894,000 Hz\u3078\u5909\u3048\u308b\u306a\u3089\u3001\u5b9f\u30c7\u30fc\u30bf\u306f1,000\u70b9\u304b\u30894,000\u70b9\u3078\u5897\u3048\u307e\u3059\u304c\u3001\u5468\u6ce2\u6570\u306e\u523b\u307f\u306f\u3069\u3061\u3089\u30821 Hz\u3067\u3059\u3002\u53cd\u5bfe\u306b1,000\u70b9\u3068\u3044\u3046\u70b9\u6570\u3060\u3051\u3092\u56fa\u5b9a\u3057\u30664,000 Hz\u3067\u8a18\u9332\u3059\u308b\u3068\u3001\u533a\u9593\u306f0.25\u79d2\u3001\u523b\u307f\u306f4 Hz\u306b\u306a\u308a\u307e\u3059\u3002\u6642\u9593\u8ef8\u3092\u7d30\u304b\u304f\u523b\u3080\u3053\u3068\u3068\u3001\u5468\u6ce2\u6570\u8ef8\u3092\u7d30\u304b\u304f\u8aad\u3080\u3053\u3068\u306f\u3001\u540c\u3058\u64cd\u4f5c\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u6e2c\u5b9a\u30bd\u30d5\u30c8\u306e\u753b\u9762\u306b\u300c4,000\u70b9\u300d\u3068\u3060\u3051\u8868\u793a\u3055\u308c\u3066\u3044\u3066\u3082\u3001\u305d\u308c\u304c\u5b9f\u30c7\u30fc\u30bf\u6570\u306a\u306e\u304b\u30010\u3092\u8ffd\u52a0\u3057\u305f\u5f8c\u306e\u8a08\u7b97\u70b9\u6570\u306a\u306e\u304b\u306f\u533a\u5225\u3067\u304d\u307e\u305b\u3093\u3002\u53d6\u5f97\u6761\u4ef6\u3068\u89e3\u6790\u6761\u4ef6\u3092\u5225\u3005\u306b\u78ba\u8a8d\u3057\u3066\u304b\u3089\u6bd4\u8f03\u3059\u308b\u3068\u3001\u8a2d\u5b9a\u5024\u3060\u3051\u304c\u5897\u3048\u305f\u5909\u66f4\u3092\u3001\u6e2c\u5b9a\u80fd\u529b\u306e\u5411\u4e0a\u3068\u53d6\u308a\u9055\u3048\u305a\u306b\u6e08\u307f\u307e\u3059\u3002<\/p>\n<p>\u9ad8\u3044\u5468\u6ce2\u6570\u307e\u3067\u89b3\u6e2c\u3057\u305f\u3044\u5834\u5408\u306b\u306f\u3001FFT\u70b9\u6570\u3088\u308a\u3082\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5468\u6ce2\u6570\u3068\u53d6\u5f97\u524d\u306e\u5e2f\u57df\u5236\u9650\u304c\u95a2\u4fc2\u3057\u307e\u3059\u3002\u5b9f\u4fe1\u53f7\u306e\u6298\u308a\u8fd4\u3057\u3092\u907f\u3051\u308b\u6761\u4ef6\u3068\u3057\u3066\u3001\u516c\u5f0f\u89e3\u8aac\u306f\u30ca\u30a4\u30ad\u30b9\u30c8\u5468\u6ce2\u6570 <code>fs\/2<\/code> \u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u30bc\u30ed\u57cb\u3081\u3092\u3057\u3066\u3082\u3001\u53d6\u5f97\u6642\u306b\u5931\u3063\u305f\u5468\u6ce2\u6570\u60c5\u5831\u3084\u6298\u308a\u8fd4\u3057\u3092\u5143\u306b\u623b\u3059\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002<sup class=\"source-note\"><a href=\"#ref-1\">\uff3b1\uff3d<\/a><\/sup><\/p>\n<p>\u6e2c\u5b9a\u7d50\u679c\u3092\u6bd4\u8f03\u3059\u308b\u3068\u304d\u306f\u3001\u5b9f\u30c7\u30fc\u30bf\u70b9\u6570\u3001\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5468\u6ce2\u6570\u3001\u89b3\u6e2c\u533a\u9593\u3001\u7a93\u3001FFT\u70b9\u6570\u3001\u7e26\u8ef8\u306e\u5358\u4f4d\u3068\u6b63\u898f\u5316\u3092\u4e00\u7dd2\u306b\u6b8b\u3059\u3002\u3053\u306e\u7d44\u307f\u5408\u308f\u305b\u304c\u5206\u304b\u308c\u3070\u3001\u300c\u7d30\u304b\u304f\u898b\u3048\u308b\u3088\u3046\u306b\u306a\u3063\u305f\u300d\u306e\u304b\u3001\u300c\u65b0\u3057\u3044\u89b3\u6e2c\u306b\u3088\u3063\u3066\u898b\u5206\u3051\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u3063\u305f\u300d\u306e\u304b\u3092\u3001\u540c\u3058\u6761\u4ef6\u3067\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n<h2>\u53c2\u8003\u8cc7\u6599<\/h2>\n<p>\u53c2\u7167\u7248\u306fSciPy 1.14.1\u3002\u539f\u56f3\u306f\u516c\u5f0f\u8cc7\u6599\u306e\u8a08\u7b97\u4f8b\u3067\u3042\u308a\u3001\u672c\u6587\u306e\u6bd4\u8f03\u8868\u30fb\u96f6\u70b9\u5e45\u30fb\u6b63\u898f\u5316\u306e\u8aac\u660e\u306f\u95a2\u4fc2\u5f0f\u3092\u7528\u3044\u305f\u4f8b\u3067\u3059\u3002\u5b9f\u6a5f\u6e2c\u5b9a\u3084SciPy\u306e\u6027\u80fd\u30d9\u30f3\u30c1\u30de\u30fc\u30af\u306f\u884c\u3063\u3066\u3044\u307e\u305b\u3093\u3002<\/p>\n<ol style=\"overflow-wrap:anywhere;\">\n<li id=\"ref-1\"><a href=\"https:\/\/docs.scipy.org\/doc\/scipy-1.14.1\/tutorial\/signal.html#spectral-analysis\">SciPy 1.14.1 User Guide\u300cSignal Processing \u2014 Spectral Analysis\u300d<\/a>\u3002Continuous-time Sine Signal\u3001Sampled Sine Signal\u3001\u7a93\u3068\u6b63\u898f\u5316\u306e\u7bc0\u3002<\/li>\n<li id=\"ref-2\"><a href=\"https:\/\/docs.scipy.org\/doc\/scipy-1.14.1\/reference\/generated\/scipy.fft.fft.html\">SciPy 1.14.1\u300cscipy.fft.fft\u300d<\/a>\u3002n\u3001norm\u3001DFT\u306e\u5b9a\u7fa9\u3002<\/li>\n<li id=\"ref-3\"><a href=\"https:\/\/docs.scipy.org\/doc\/scipy-1.14.1\/reference\/generated\/scipy.signal.periodogram.html\">SciPy 1.14.1\u300cscipy.signal.periodogram\u300d<\/a>\u3002nfft\u3001scaling\u3001\u5358\u4f4d\u3002<\/li>\n<li id=\"ref-4\"><a href=\"https:\/\/github.com\/scipy\/scipy\/blob\/v1.14.1\/doc\/source\/tutorial\/examples\/signal_SpectralAnalysis_MagnitudeSpectrum_Hann_3x.py\">SciPy v1.14.1\u3001\u56f31\u306e\u63cf\u753b\u30bd\u30fc\u30b9<\/a>\u3002\u540c\u4e00Hann\u7a93\u30fb\u540c\u4e00\u306e\u632f\u5e45\u6b63\u898f\u5316\u3068\u3001100\u70b9\uff0f300\u70b9\u306e\u8a08\u7b97\u6761\u4ef6\u3002<\/li>\n<\/ol>\n<details style=\"overflow-wrap:anywhere;\">\n<summary>\u56f31\u306e\u8457\u4f5c\u6a29\u30fb\u30e9\u30a4\u30bb\u30f3\u30b9\u8868\u793a\uff08BSD 3-Clause\uff09<\/summary>\n<p><a href=\"https:\/\/github.com\/scipy\/scipy\/blob\/v1.14.1\/LICENSE.txt\">SciPy v1.14.1 LICENSE.txt<\/a><\/p>\n<pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;\">\nCopyright (c) 2001-2002 Enthought, Inc. 2003-2024, SciPy Developers.\nAll rights reserved.\n\nRedistribution and use in source and binary forms, with or without\nmodification, are permitted provided that the following conditions\nare met:\n\n1. Redistributions of source code must retain the above copyright\n   notice, this list of conditions and the following disclaimer.\n\n2. Redistributions in binary form must reproduce the above\n   copyright notice, this list of conditions and the following\n   disclaimer in the documentation and\/or other materials provided\n   with the distribution.\n\n3. Neither the name of the copyright holder nor the names of its\n   contributors may be used to endorse or promote products derived\n   from this software without specific prior written permission.\n\nTHIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS\n\"AS IS\" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT\nLIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR\nA PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT\nOWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,\nSPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT\nLIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,\nDATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY\nTHEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT\n(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE\nOF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.\n<\/pre>\n<\/details>\n","protected":false},"excerpt":{"rendered":"<p>\u97f3\u3084\u632f\u52d5\u306e\u8a18\u9332\u3092FFT\u306b\u304b\u3051\u308b\u3068\u3001\u3069\u306e\u5468\u6ce2\u6570\u304c\u5f37\u3044\u304b\u3092\u5c71\u306e\u5f62\u3067\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u8a08\u7b97\u3059\u308b\u70b9\u3092\u5897\u3084\u3057\u305f\u3089\u3001\u305d\u306e\u5c71\u304c\u6ed1\u3089\u304b\u306b\u306a\u308a\u3001\u9802\u70b9\u306e\u4f4d\u7f6e\u3082\u7d30\u304b\u304f\u8aad\u3081\u308b\u3088\u3046\u306b\u306a\u3063\u305f\u3002\u3051\u308c\u3069\u3001\u305d\u308c\u3060\u3051\u3067\u8fd1\u63a5\u3057\u305f\u4e8c\u3064\u306e\u632f\u52d5\u3092\u898b\u5206\u3051\u308b\u529b\u307e\u3067\u5897 [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":950,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":false,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[31],"tags":[263,264],"class_list":["post-953","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ai-software","tag-fft","tag-signal-processing"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/10\/qs-fft-zero-padding-resolution-20261014-featured-62112ac429c1.png","_links":{"self":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/953","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=953"}],"version-history":[{"count":1,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/953\/revisions"}],"predecessor-version":[{"id":956,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/953\/revisions\/956"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/media\/950"}],"wp:attachment":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=953"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=953"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=953"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}