{"id":1757,"date":"2026-02-04T08:50:02","date_gmt":"2026-02-03T23:50:02","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/?p=1757"},"modified":"2026-02-04T08:50:39","modified_gmt":"2026-02-03T23:50:39","slug":"%e5%be%ae%e5%88%86%e3%82%b9%e3%83%9a%e3%82%af%e3%83%88%e3%83%ab%e3%82%92%e8%a8%88%e7%ae%97%e3%81%99%e3%82%8b","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/1757\/","title":{"rendered":"\u5fae\u5206\u30b9\u30da\u30af\u30c8\u30eb\u3092\u8a08\u7b97\u3059\u308b"},"content":{"rendered":"<p><a href=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/aes\/\" title=\"\u30aa\u30fc\u30b8\u30a7\u96fb\u5b50\u5206\u5149\u88c5\u7f6e\">\u30aa\u30fc\u30b8\u30a7\u96fb\u5b50\u5206\u5149\u88c5\u7f6e<\/a>\u3067\u6e2c\u5b9a\u3092\u884c\u3046\u3068\u3001\u30c0\u30a4\u30ec\u30af\u30c8\u30b9\u30da\u30af\u30c8\u30eb\u306e\u4ed6\u306b<a href=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/1219\/#3\">\u5fae\u5206\u30b9\u30da\u30af\u30c8\u30eb<\/a>\u3092\u4f7f\u3046\u3068\u4fbf\u5229\u306a\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u305f\u3068\u3048\u3070 JAMP-9500F\uff08\u65e5\u672c\u96fb\u5b50\uff09\u306e\u4ed8\u5c5e\u30bd\u30d5\u30c8\u3067\u306f\u3001\u5fae\u5206\u30b9\u30da\u30af\u30c8\u30eb\u30c7\u30fc\u30bf\u306e\u30a8\u30af\u30b9\u30dd\u30fc\u30c8\u306f\u3067\u304d\u306a\u3044\u3088\u3046\u306b\u898b\u3048\u307e\u3059\u3002\u81ea\u5206\u3067\u8a08\u7b97\u3057\u3088\u3046\u3068\u601d\u3063\u305f\u3089\u3001\u3069\u3046\u3059\u308c\u3070\u3044\u3044\u3067\u3057\u3087\u3046\u304b\uff1f<\/p>\n<p><!--more--><\/p>\n<h2>\u8868\u793a\u3055\u308c\u308b\u5fae\u5206\u30b9\u30da\u30af\u30c8\u30eb\u306e\u4ed5\u69d8<\/h2>\n<p>JAMP-9500F\uff08\u306e\u4ed8\u5c5e\u30bd\u30d5\u30c8\u3001\u4ee5\u4e0b\u7701\u7565\uff09\u3067\u8868\u793a\u3055\u308c\u308b\u5fae\u5206\u30b9\u30da\u30af\u30c8\u30eb\u306f\u3001\u4ee5\u4e0b\u306e\u4ed5\u69d8\u306b\u306a\u3063\u3066\u3044\u308b\u3088\u3046\u3067\u3059\u3002<\/p>\n<ul>\n<li><strong>Savitzky-Golay\u6cd5<\/strong>[1]\u306b\u3088\u3063\u3066\u5fae\u5206\u30b9\u30da\u30af\u30c8\u30eb\u3092\u8a08\u7b97\u3057\u3066\u3044\u308b\u3002<\/li>\n<li>Savitzky-Golay\u6cd5\u3068\u4e00\u53e3\u306b\u3044\u3063\u3066\u3082\u30d1\u30e9\u30e1\u30fc\u30bf\u304c\u3044\u308d\u3044\u308d\u3042\u308b\u304c\u3001<strong>2\u6b21<\/strong>\u95a2\u6570\u8fd1\u4f3c\u3092\u7528\u3044\u3066\u3001\u30a6\u30a3\u30f3\u30c9\u30a6\u30b5\u30a4\u30ba\u3092<strong>7<\/strong>\u3067\u8a08\u7b97\u3057\u3066\u3044\u308b\u3002<small>\u3053\u308c\u3092\u7c21\u5358\u306b<strong>2\u6b217\u70b9\u306eSavitzky-Golay\u6cd5<\/strong>\u3001\u3068\u547c\u3093\u3060\u308a\u3059\u308b\uff1f<\/small><\/li>\n<\/ul>\n<h2>\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/h2>\n<h3>\u8a08\u7b97\u5f0f<\/h3>\n<p>\u3044\u307e\u3001\u5165\u529b <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/wp-content\/ql-cache\/quicklatex.com-c8700e0258243116de0d4f288e2e3b44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#105;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"\/> \u306b \u5bfe\u3057\u3066\u51fa\u529b <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/wp-content\/ql-cache\/quicklatex.com-bb3c186e5c65fcd066bb23dec8f4e48a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#105;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: -4px;\"\/> \u3092\u5f97\u305f\u30c7\u30fc\u30bf\u5217\u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002\u30aa\u30fc\u30b8\u30a7\uff08\u5206\u6790\u306e\u30c0\u30a4\u30ec\u30af\u30c8\uff09\u30b9\u30da\u30af\u30c8\u30eb\u3067\u3042\u308c\u3070\u3001\u96fb\u5b50\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/wp-content\/ql-cache\/quicklatex.com-c8700e0258243116de0d4f288e2e3b44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#105;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"\/> \u3067\u3001\u305d\u306e\u30ab\u30a6\u30f3\u30c8\u6570\uff08\u3082\u3057\u304f\u306f\u30ab\u30a6\u30f3\u30c8\u7387\uff09\u304c <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/wp-content\/ql-cache\/quicklatex.com-bb3c186e5c65fcd066bb23dec8f4e48a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#105;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: -4px;\"\/> \u306b\u306a\u308a\u307e\u3059\u3002<br \/>\nSavitzky-Golay\u6cd5\u306f\u5165\u529b <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/wp-content\/ql-cache\/quicklatex.com-c8700e0258243116de0d4f288e2e3b44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#105;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"\/> \u304c\u4e00\u5b9a\u9593\u9694\u3067\u3042\u308b\u3053\u3068\u3092\u524d\u63d0\u3068\u3057\u3066\u304a\u308a\u3001\u305d\u306e\u9593\u9694\u3092 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/wp-content\/ql-cache\/quicklatex.com-729568734d87ffb0f88cf42b1bc6828a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#101;&#112;&#115;&#105;&#108;&#111;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"7\" style=\"vertical-align: 0px;\"\/> \u3068\u3057\u307e\u3059\u3002<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/wp-content\/ql-cache\/quicklatex.com-c8700e0258243116de0d4f288e2e3b44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#105;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"\/> \u306b\u304a\u3051\u308b\u5fae\u5206\u5024\u306f\u3001\u30bf\u30fc\u30b2\u30c3\u30c8\u8fd1\u508d\u306e\u6e2c\u5b9a\u5024\u5217\u306b\u5bfe\u3057\u3066\u7dda\u5f62\u7d50\u5408\u3092\u3059\u308b\u3060\u3051\u3067\u6c42\u3081\u3089\u308c\u307e\u3059\u3002\u4e0a\u8ff0\u306e2\u6b21\u30017\u70b9\u306e\u5834\u5408\u306b\u5177\u4f53\u7684\u306a\u4fc2\u6570\u3092\u542b\u3081\u3066\u793a\u3059\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 36px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/wp-content\/ql-cache\/quicklatex.com-6bb108f42adcfbcb082acc7e882104d3_l3.png\" height=\"36\" width=\"415\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#121;&#39;&#95;&#123;&#120;&#61;&#120;&#95;&#105;&#125;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#45;&#51;&#121;&#95;&#123;&#105;&#45;&#51;&#125;&#45;&#50;&#121;&#95;&#123;&#105;&#45;&#50;&#125;&#45;&#121;&#95;&#123;&#105;&#45;&#49;&#125;&#43;&#121;&#95;&#123;&#105;&#43;&#49;&#125;&#43;&#50;&#121;&#95;&#123;&#105;&#43;&#50;&#125;&#43;&#51;&#121;&#95;&#123;&#105;&#43;&#51;&#125;&#125;&#123;&#50;&#56;&#32;&#92;&#101;&#112;&#115;&#105;&#108;&#111;&#110;&#125; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<p>\u3061\u306a\u307f\u306b\u5206\u6bcd\u306e28\u3068\u3044\u3046\u306e\u306f\u5206\u5b50\u306e\u5404\u9805\u306e\u4fc2\u6570\u306e2\u4e57\u548c\u3067\u3059\u3002\u30a6\u30a3\u30f3\u30c9\u30a6\u30b5\u30a4\u30ba\u30929\u306b\u3059\u308b\u3068\uff08\u5bb9\u6613\u306b\u63a8\u6e2c\u3067\u304d\u308b\u901a\u308a\u306b\uff09\u5206\u5b50\u306b <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/wp-content\/ql-cache\/quicklatex.com-8f26217e37768456c4ec9b05b6f41261_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#52;&#121;&#95;&#123;&#105;&#45;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"54\" style=\"vertical-align: -4px;\"\/> \u3068 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/wp-content\/ql-cache\/quicklatex.com-c72fcdd09cfb13d429819a0d1f088160_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#43;&#52;&#121;&#95;&#123;&#105;&#43;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"55\" style=\"vertical-align: -5px;\"\/> \u306e\u9805\u304c\u5897\u3048\u3001\u5206\u6bcd\u306e\u4fc2\u6570\u304c28\u3067\u306f\u306a\u304f\u306660\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u4e21\u7aef\u306e\u51e6\u7406<\/h3>\n<p>\u30c7\u30fc\u30bf\u5217\u306e\u7aef\u306e\u65b9\u3067\u306f\u3001\u300c\u8fd1\u508d\u300d\u306b\u30c7\u30fc\u30bf\u304c\u306a\u3044\u3068\u3044\u3046\u3053\u3068\u304c\u8d77\u3053\u308a\u307e\u3059\u3002\u305d\u306e\u5834\u5408\u306e\u51e6\u7406\u65b9\u6cd5\u306f\u3001\u30c7\u30fc\u30bf\u306e\u6027\u8cea\u306b\u3088\u3063\u3066\u3044\u308d\u3044\u308d\u306a\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u304c\u3001JAMP-9500F\u3067\u306f\u6700\u5bc4\u308a\u306e\u6e2c\u5b9a\u70b9\uff08\u3059\u306a\u308f\u3061\u7aef\u70b9\uff09\u306e\u51fa\u529b\u306e\u5024\u3092\u305d\u306e\u307e\u307e\u4f7f\u3063\u3066\u3044\u307e\u3059\u3002\u30c7\u30fc\u30bf\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u304c <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/wp-content\/ql-cache\/quicklatex.com-8e3c35bde3054f836d65e0b09fc020de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#105;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"39\" style=\"vertical-align: 0px;\"\/> \u304b\u3089\u59cb\u307e\u3063\u3066\u3044\u308b\u3068\u304d\u306b <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/wp-content\/ql-cache\/quicklatex.com-f1cd6be340b4fce14489cf5b565a169e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"\/> \u306b\u304a\u3051\u308b\u5fae\u5206\u5024\u3092\u6c42\u3081\u3088\u3046\u3068\u3059\u308b\u3068 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/wp-content\/ql-cache\/quicklatex.com-4f0f160a645770cb7306b6844c4c9fb9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#123;&#45;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"26\" style=\"vertical-align: -4px;\"\/> \u306e\u5024\u304c\u5fc5\u8981\u306b\u306a\u308a\u307e\u3059\u304c\u3001\u305d\u308c\u306f\u6e2c\u5b9a\u3057\u3066\u3044\u306a\u3044\u306e\u3067\u4ee3\u308f\u308a\u306b <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/wp-content\/ql-cache\/quicklatex.com-d37dc47669aa63f72480eae663d99287_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#95;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: -4px;\"\/> \u3092\u4f7f\u3063\u3066\u3001\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 36px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/home.hirosaki-u.ac.jp\/yaneura\/wp-content\/ql-cache\/quicklatex.com-edc5c066dafdaa60102c53ae382b4103_l3.png\" height=\"36\" width=\"324\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#121;&#39;&#95;&#123;&#120;&#61;&#120;&#95;&#50;&#125;&#32;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#45;&#51;&#121;&#95;&#48;&#45;&#50;&#121;&#95;&#48;&#45;&#121;&#95;&#49;&#43;&#121;&#95;&#51;&#43;&#50;&#121;&#95;&#52;&#43;&#51;&#121;&#95;&#53;&#125;&#123;&#50;&#56;&#32;&#92;&#101;&#112;&#115;&#105;&#108;&#111;&#110;&#125; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<h3>Python\u3067\u8a08\u7b97\u3059\u308b<\/h3>\n<p>Python\u3092\u4f7f\u3063\u3066\u3044\u308b\u5834\u5408\u306f\u3001\u79d1\u5b66\u6280\u8853\u8a08\u7b97\u7528\u306e\u30e9\u30a4\u30d6\u30e9\u30ea Scipy\u306b\u305d\u308c\u7528\u306e\u95a2\u6570<a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.signal.savgol_filter.html\" rel=\"noopener\" target=\"_blank\">(scipy.signal.)savgol_filter<\/a>\u304c\u7528\u610f\u3055\u308c\u3066\u3044\u307e\u3059\u3002<code>y<\/code>\u304c\u51fa\u529b\u30c7\u30fc\u30bf\u3060\u3051\u306e1\u6b21\u5143\u914d\u5217\u3067\u3042\u308b\u3068\u304d\u306b\u4eca\u306e\u4ed5\u69d8\u3067\u5fae\u5206\u30b9\u30da\u30af\u30c8\u30eb\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\uff08\u3082\u3061\u308d\u3093<code>import scipy<\/code>\u3057\u305f\u4e0a\u3067\uff09\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u4f7f\u3044\u307e\u3059\u3002<br \/>\n<code>y_d = scipy.signal.savgol_filter(y, 7, 2, 1, epsilon, mode = 'nearest')<\/code><\/p>\n<h2>\u6b21\u56de\u4e88\u544a<\/h2>\n<p>\u4e0a\u8a18\u306e\u8a08\u7b97\u5f0f\u3092\u5c0e\u51fa\u3057\u3066\u307f\u305f\u3068\u3053\u308d\u3001\u5177\u4f53\u7684\u306a\u30b1\u30fc\u30b9\u3060\u3051\u3092\u8003\u3048\u308b\u306e\u3067\u3042\u308c\u3070\u610f\u5916\u3068\u7c21\u5358\u3067\u3057\u305f\u3002\u3068\u3044\u3046\u3053\u3068\u3067\u3001\u305d\u306e\u96f0\u56f2\u6c17\u3092\u5473\u308f\u3046\u8a18\u4e8b\u3092\u6295\u7a3f\u3059\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3057\u3001\u3057\u306a\u3044\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002<\/p>\n<h2>\u53c2\u8003\u6587\u732e<\/h2>\n<ol>\n<li>Savitzky, A.; Golay, M.J.E.  Smoothing and Differentiation of Data by Simplified Least Squares Procedures, Analytical Chemistry 1964 36(8) 1627-1639 DOI: <a href=\"https:\/\/doi.org\/10.1021\/ac60214a047\" rel=\"noopener\" target=\"_blank\">10.1021\/ac60214a047<\/a> <small>\u73fe\u6642\u70b9\u3067\u306f\u3001\u5f18\u524d\u5927\u5b66\u9644\u5c5e\u56f3\u66f8\u9928\u306e<a href=\"https:\/\/opc.ul.hirosaki-u.ac.jp\/opc\/recordID\/catalog.bib\/AA00524878\" rel=\"noopener\" target=\"_blank\">\u7b2c2\u66f8\u5eab\u306b\u6240\u8535<\/a>\u3055\u308c\u3066\u3044\u308b\u3088\u3046\u3067\u3059\u3002<\/small><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u30aa\u30fc\u30b8\u30a7\u96fb\u5b50\u5206\u5149\u88c5\u7f6e\u3067\u6e2c\u5b9a\u3092\u884c\u3046\u3068\u3001\u30c0\u30a4\u30ec\u30af\u30c8\u30b9\u30da\u30af\u30c8\u30eb\u306e\u4ed6\u306b\u5fae\u5206\u30b9\u30da\u30af\u30c8\u30eb\u3092\u4f7f\u3046\u3068\u4fbf\u5229\u306a\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u305f\u3068\u3048\u3070 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