{"id":28116,"date":"2024-07-30T03:21:21","date_gmt":"2024-07-30T03:21:21","guid":{"rendered":"https:\/\/science-hub.click\/%E3%83%9C%E3%83%BC%E3%83%89%E7%B7%9A%E5%9B%B3%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2024-07-30T03:21:21","modified_gmt":"2024-07-30T03:21:21","slug":"%E3%83%9C%E3%83%BC%E3%83%89%E7%B7%9A%E5%9B%B3%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=28116","title":{"rendered":"\u30dc\u30fc\u30c9\u7dda\u56f3\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><p><strong>\u30dc\u30fc\u30c9\u7dda\u56f3\u306f\u3001<\/strong>\u30b7\u30b9\u30c6\u30e0\u306e\u5468\u6ce2\u6570\u52d5\u4f5c\u3092\u8868\u3059\u65b9\u6cd5\u3067\u3059\u3002\u7279\u306b\u30a2\u30ca\u30ed\u30b0 \u30b7\u30b9\u30c6\u30e0\u306e\u4f1d\u9054\u95a2\u6570\u306e\u7814\u7a76\u306b\u304a\u3044\u3066\u3001\u7c21\u7d20\u5316\u3055\u308c\u305f\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u89e3\u50cf\u5ea6\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u30b2\u30a4\u30f3\u4f59\u88d5\u3001<span><a href=\"https:\/\/science-hub.click\/?p=15396\">\u4f4d\u76f8<\/a><\/span>\u4f59\u88d5\u3001\u9023\u7d9a\u30b2\u30a4\u30f3\u3001<span>\u5e2f\u57df\u5e45<\/span>\u3001\u5916\u4e71\u9664\u53bb\u3001\u30b7\u30b9\u30c6\u30e0\u306e\u5b89\u5b9a\u6027\u306e\u7279\u6027\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p><h2><span><span><a href=\"https:\/\/science-hub.click\/?p=74671\">\u610f\u5473<\/a><\/span><\/span><\/h2><p>\u5468\u6ce2\u6570\u5fdc\u7b54\u30b7\u30b9\u30c6\u30e0\u306e<span><a href=\"https:\/\/science-hub.click\/?p=28116\">\u30dc\u30fc\u30c9\u7dda\u56f3<\/a><\/span><div class=\"math-formual notranslate\">$$ {H(j\\omega)\\} $$<\/div>\u306f 2 \u884c\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002<\/p><ul><li>\u30c7\u30b7\u30d9\u30eb (dB) \u5358\u4f4d\u306e\u30b2\u30a4\u30f3 (\u307e\u305f\u306f\u632f\u5e45)\u3002\u305d\u306e\u5024\u306f\u6b21\u304b\u3089\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {20\\log_{10}{(|H(j\\omega)|)}\\} $$<\/div> \u3002<\/li><li><span>\u5ea6\u5358\u4f4d<\/span>\u306e\u4f4d\u76f8\u3002\u6b21\u306e\u5f0f\u3067<span>\u4e0e\u3048\u3089\u308c\u307e\u3059<\/span>\u3002 <div class=\"math-formual notranslate\">$$ {\\arg{(H(j\\omega))}\\} $$<\/div><\/li><\/ul><p>\u30d1\u30eb\u30b9\u30b9\u30b1\u30fc\u30eb\u306f\u5bfe\u6570\u3067\u3042\u308a\u3001rad\/s (\u30e9\u30b8\u30a2\u30f3\/\u79d2) \u3067\u8868\u3055\u308c\u307e\u3059\u3002<span>\u5bfe\u6570\u30b9\u30b1\u30fc\u30eb\u3092\u4f7f\u7528\u3059\u308b<\/span>\u3068\u3001\u4e3b\u306b\u76f4\u7dda\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u975e\u5e38\u306b\u8aad\u307f\u3084\u3059\u3044\u30ec\u30a4\u30a2\u30a6\u30c8\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p><div><div><div> <figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u6b21\u6570 1 \u306e\u30d1\u30c3\u30b7\u30d6 \u30ed\u30fc\u30d1\u30b9 \u30d5\u30a3\u30eb\u30bf\u30fc\u306e\u30dc\u30fc\u30c9\u7dda\u56f3\u3002\u8d64\u3044\u70b9\u7dda\u306f\u7dda\u5f62\u8fd1\u4f3c\u3002\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/1I2znt3CPB0\/0.jpg\" style=\"width:100%;\"\/><\/figure><div>\u6b21\u6570 1 \u306e\u30d1\u30c3\u30b7\u30d6<span><a href=\"https:\/\/science-hub.click\/?p=81717\">\u30ed\u30fc\u30d1\u30b9 \u30d5\u30a3\u30eb\u30bf\u30fc<\/a><\/span>\u306e\u30dc\u30fc\u30c9\u7dda<span><a href=\"https:\/\/science-hub.click\/?p=47390\">\u56f3<\/a><\/span>\u3002\u8d64\u3044\u70b9\u7dda\u306f<span><a href=\"https:\/\/science-hub.click\/?p=17482\">\u7dda\u5f62\u8fd1\u4f3c\u3067\u3059<\/a><\/span>\u3002<\/div><\/div><\/div><\/div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30dc\u30fc\u30c9\u7dda\u56f3\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/e8Hjd9T6rPI\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2><span>\u30a2\u30ca\u30ed\u30b0\u30b7\u30b9\u30c6\u30e0\u306e\u6f38\u8fd1\u30d7\u30ed\u30c3\u30c8<\/span><\/h2><p>\u6b21\u306e\u3088\u3046\u306b\u8a18\u8ff0\u3055\u308c\u305f<span><a href=\"https:\/\/science-hub.click\/?p=75831\">\u4f1d\u9054\u95a2\u6570<\/a><\/span>\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p><p>\u307e\u305f\u306f<div class=\"math-formual notranslate\">$$ {\\alpha \\in \\mathbb R\\\u00a0;\\ q \\in \\mathbb Z\\\u00a0;\\ \\omega_k,\\omega_l,\\omega_m,\\omega_n \\in \\mathbb R^*\\\u00a0;\\ \\xi_k,\\xi_m \\in \\mathbb R\\} $$<\/div><\/p><p>\u4f1d\u9054\u95a2\u6570\u306f\u3044\u304f\u3064\u304b\u306e\u65b9\u6cd5\u3067\u8a18\u8ff0\u3067\u304d\u307e\u3059\u304c\u3001\u4e0a\u8a18\u306e\u3088\u3046\u306b\u8a18\u8ff0\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p><ul><li> 1 \u6b21\u304a\u3088\u3073 2 \u6b21\u306e\u521d\u7b49\u591a\u9805\u5f0f\u306e\u5b9a\u6570\u9805\u306f<span>1<\/span>\u306b\u7b49\u3057\u304f\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u5b9a\u6570<span>\u03b1 \u3092<\/span>\u4f7f\u7528\u3057\u307e\u3059\u3002<\/li><li> 1 \u6b21\u304a\u3088\u3073 2 \u6b21\u306e\u521d\u7b49\u591a\u9805\u5f0f\u306e<span><i>p<\/i><\/span>\u306e\u9805\u306f\u5206\u5b50\u306b\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002 (\u4ee5\u4e0b\u306e\u30cf\u30a4\u30d1\u30b9\u95a2\u6570\u306e\u66f8\u304d\u63db\u3048\u3092\u53c2\u7167)<\/li><\/ul><p>\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u304c<div class=\"math-formual notranslate\">$$ {H(p)\\} $$<\/div>\u5bfe\u6570\u306b\u3088\u308a\u3001\u57fa\u672c\u9805\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u5408\u8a08\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u540c\u3058\u3053\u3068\u304c\u30d5\u30a7\u30fc\u30ba\u306b\u3082\u5f53\u3066\u306f\u307e\u308a\u307e\u3059\u304c\u3001\u4eca\u56de\u306f\u5f15\u6570\u95a2\u6570\u304c\u539f\u56e0\u3067\u3059\u3002\u3053\u306e\u305f\u3081\u3001\u6700\u521d\u306b\u521d\u7b49\u9805\u306e\u30dc\u30fc\u30c9\u7dda\u56f3\u306b\u7126\u70b9\u3092\u5f53\u3066\u307e\u3059\u3002<\/p><h3><span>\u4e00\u6b21\u30b7\u30b9\u30c6\u30e0<\/span><\/h3><h4><span>\u30ed\u30fc\u30d1\u30b9<\/span><\/h4><ul><li><strong>\u610f\u5473<\/strong><\/li><\/ul><p>\u4f1d\u9054\u95a2\u6570\u3092\u6b21\u306e\u3088\u3046\u306b\u3057\u307e\u3059\u3002 <\/p><dl><dd><dl><dd><div class=\"math-formual notranslate\">$$ {H(p)=\\frac{1}{1+\\frac{p}{\\omega_0}}\\} $$<\/div><\/dd><\/dl><\/dd><\/dl><p>\u8108\u62cd<div class=\"math-formual notranslate\">$$ {\\omega_0\\} $$<\/div>\u3092\u30ab\u30c3\u30c8\u30aa\u30d5\u30d1\u30eb\u30b9\u3068\u3044\u3044\u307e\u3059\u3002<\/p><ul><li><strong>\u6f38\u8fd1\u30d7\u30ed\u30c3\u30c8<\/strong><\/li><\/ul><p>\u306e\u305f\u3081\u306b<div class=\"math-formual notranslate\">$$ {\\omega \\ll \\omega_0,\\ H(j\\omega)\\approx 1\\} $$<\/div>\u305d\u308c\u3067<div class=\"math-formual notranslate\">$$ {|H_{dB}(j\\omega)|=0\\} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\arg{(H(j\\omega))}=0^\\circ\\} $$<\/div> \u3002<\/p><p>\u306e\u305f\u3081\u306b<div class=\"math-formual notranslate\">$$ {\\omega \\gg \\omega_0,\\ H(j\\omega)\\approx -j\\frac{\\omega_0}{\\omega}\\} $$<\/div>\u305d\u308c\u3067<div class=\"math-formual notranslate\">$$ {|H_{dB}(j\\omega)|=-20\\log_{10}(\\omega)+20\\log_{10}(\\omega_0)\\} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\arg{(H(j\\omega))}=-90^\\circ\\} $$<\/div> \u3002<\/p><p>\u5bfe\u6570\u30d9\u30f3\u30c1\u30de\u30fc\u30af\u3067\u306f\u3001 <div class=\"math-formual notranslate\">$$ {|H_{dB}(j\\omega)|\\} $$<\/div>\u7d50\u679c\u306f\u3001-20dB\/Decade \u307e\u305f\u306f -6dB\/Octave \u306e\u30b9\u30ed\u30fc\u30d7\u306b\u306a\u308a\u307e\u3059\u3002\u50be\u304d -1 \u306b\u3064\u3044\u3066\u3082\u8a71\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u6f38\u8fd1\u30dc\u30fc\u30c9\u7dda\u56f3\u306f 2 \u3064\u306e\u7dda\u5f62\u30bb\u30af\u30b7\u30e7\u30f3\u306b\u8981\u7d04\u3055\u308c\u307e\u3059\u3002<\/p><ul><li><strong>\u30ea\u30a2\u30eb\u30c8\u30e9\u30c3\u30af<\/strong><\/li><\/ul><p>\u3067<div class=\"math-formual notranslate\">$$ {\\omega_0\\} $$<\/div> \u3001 <div class=\"math-formual notranslate\">$$ {|H(j\\omega_0)|=\\frac{1}{1+j}} $$<\/div>\u3069\u3061\u3089\u304b<div class=\"math-formual notranslate\">$$ {|H_{db}(j\\omega_0)|=20\\log_{10}(\\sqrt{2})=10\\log_{10}(2)} $$<\/div> : \u66f2\u7dda\u306f\u6f38\u8fd1\u7dda\u3088\u308a 3dB \u4e0b\u306b\u9032\u307f\u307e\u3059\u3002<\/p><h4><span>\u30cf\u30a4\u30d1\u30b9<\/span><\/h4><p>\u4f1d\u9054\u95a2\u6570\u3092\u6b21\u306e\u3088\u3046\u306b\u3057\u307e\u3059\u3002 <\/p><dl><dd><dl><dd><div class=\"math-formual notranslate\">$$ {H(p)=\\frac{1}{1+\\frac{\\omega_0}{p}} = \\frac{\\frac{p}{\\omega_0}}{1+\\frac{p}{\\omega_0}}} $$<\/div><\/dd><\/dl><\/dd><\/dl><p>\u30d7\u30ed\u30c3\u30c8\u306f\u3001dB \u5358\u4f4d\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u3068\u30ed\u30fc\u30d1\u30b9\u4f4d\u76f8\u306e<span>\u9006\u3092<\/span>\u53d6\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u53d6\u5f97\u3055\u308c\u307e\u3059\u3002<\/p><h3><span>\u4e8c\u6b21\u30b7\u30b9\u30c6\u30e0<\/span><\/h3><h4><span>\u30ed\u30fc\u30d1\u30b9<\/span><\/h4><ul><li><strong>\u610f\u5473<\/strong><\/li><\/ul><p>\u4f1d\u9054\u95a2\u6570\u3092\u6b21\u306e\u3088\u3046\u306b\u3057\u307e\u3059\u3002 <\/p><dl><dd><dl><dd><div class=\"math-formual notranslate\">$$ {H(p)=\\frac{1}{1+2\\xi\\frac{p}{\\omega_0}+\\left(\\frac{p}{\\omega_0}\\right)^2}\\} $$<\/div><\/dd><\/dl><\/dd><\/dl><p>\u8108\u62cd<div class=\"math-formual notranslate\">$$ {\\omega_0\\} $$<\/div>\u3092\u56fa\u6709\u8108\u52d5\u3068\u3044\u3044\u3001 <div class=\"math-formual notranslate\">$$ {\\xi\\} $$<\/div>\u6e1b\u4fa1\u511f\u5374\u3067\u3059\u3002<\/p><ul><li><strong>\u6f38\u8fd1\u30d7\u30ed\u30c3\u30c8<\/strong><\/li><\/ul><p>\u306e\u305f\u3081\u306b<div class=\"math-formual notranslate\">$$ {\\omega \\ll \\omega_0\\ H(j\\omega)\\approx 1\\} $$<\/div>\u305d\u308c\u3067<div class=\"math-formual notranslate\">$$ {|H_{dB}(j\\omega)|=0\\} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\arg{(H(j\\omega))}=0^\\circ\\} $$<\/div> \u3002<\/p><p>\u306e\u305f\u3081\u306b<div class=\"math-formual notranslate\">$$ {\\omega \\gg \\omega_0\\ H(j\\omega)\\approx \\left(\\frac{\\omega_0}{\\omega}\\right)^2\\} $$<\/div>\u305d\u308c\u3067<div class=\"math-formual notranslate\">$$ {|H_{dB}(j\\omega)|=-40\\log_{10}(\\omega)+40\\log_{10}(\\omega_0)\\} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\arg{(H(j\\omega))}=-180^\\circ\\times \\operatorname{signe(\\omega_0\\xi)}\\} $$<\/div> \u3002<\/p><p>\u5bfe\u6570\u30d9\u30f3\u30c1\u30de\u30fc\u30af\u3067\u306f\u3001 <div class=\"math-formual notranslate\">$$ {|H_{dB}(j\\omega)|\\} $$<\/div>\u7d50\u679c\u306f\u3001-40dB\/Decade \u307e\u305f\u306f -12dB\/Octave \u306e\u30b9\u30ed\u30fc\u30d7\u306b\u306a\u308a\u307e\u3059\u3002\u52fe\u914d -2 \u306b\u3064\u3044\u3066\u3082\u8a71\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u6f38\u8fd1\u30dc\u30fc\u30c9\u7dda\u56f3\u306f 2 \u3064\u306e\u7dda\u5f62\u30bb\u30af\u30b7\u30e7\u30f3\u306b\u8981\u7d04\u3055\u308c\u307e\u3059\u3002<\/p><ul><li><strong>\u30ea\u30a2\u30eb\u30c8\u30e9\u30c3\u30af<\/strong><\/li><\/ul><p>\u3044\u3064<div class=\"math-formual notranslate\">$$ {\\xi&lt;\\frac{\\sqrt{2}}{2}\\} $$<\/div> \u3001\u30b7\u30b9\u30c6\u30e0\u306f\u30e2\u30b8\u30e5\u30fc\u30eb\u5171\u632f\u3092\u793a\u3057\u307e\u3059<div class=\"math-formual notranslate\">$$ {|H(j\\omega)|_{max}=\\frac{1}{2\\xi\\sqrt{1-\\xi^2}}\\} $$<\/div>\u3067<div class=\"math-formual notranslate\">$$ {\\omega=\\omega_0\\sqrt{1-2\\xi^2}\\} $$<\/div> \u3002<\/p><h4><span>\u30cf\u30a4\u30d1\u30b9<\/span><\/h4><p>\u4f1d\u9054\u95a2\u6570\u3092\u6b21\u306e\u3088\u3046\u306b\u3057\u307e\u3059\u3002 <\/p><dl><dd><dl><dd><div class=\"math-formual notranslate\">$$ {H(p)=1+2\\xi\\frac{p}{\\omega_0}+\\left(\\frac{p}{\\omega_0}\\right)^2\\} $$<\/div><\/dd><\/dl><\/dd><\/dl><p>\u30d7\u30ed\u30c3\u30c8\u306f\u3001dB \u5358\u4f4d\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u3068\u30ed\u30fc\u30d1\u30b9\u4f4d\u76f8\u306e\u9006\u3092\u53d6\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u53d6\u5f97\u3055\u308c\u307e\u3059\u3002<\/p><h2><span>\u4e00\u822c\u7684\u306a\u30b1\u30fc\u30b9\u306b\u623b\u308b<\/span><\/h2><p>\u4e0a\u3067\u8ff0\u3079\u305f\u3088\u3046\u306b\u3001\u57fa\u672c\u9805\u306e\u3059\u3079\u3066\u306e\u30dc\u30fc\u30c9\u7dda\u56f3\u3092\u8ffd\u52a0\u3057\u3066\u4f1d\u9054\u95a2\u6570\u56f3\u3092\u53d6\u5f97\u3067\u304d\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {H(p)\\} $$<\/div> \u3002<\/p><p>\u305f\u3060\u3057\u3001\u3053\u306e\u4f1d\u9054\u95a2\u6570\u304c\u8907\u96d1\u306a\u5834\u5408\u306f\u3001\u8108\u52d5\u3092<span><a href=\"https:\/\/science-hub.click\/?p=39804\">\u5f90\u3005\u306b<\/a><\/span>\u5927\u304d\u304f\u3059\u308b\u3053\u3068\u3067\u5404\u9805\u306e\u5bc4\u4e0e\u3092\u8003\u616e\u3057\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\omega\\} $$<\/div> \u3002<\/p><p>\u521d\u3081\u306e\u9803\u3001 <div class=\"math-formual notranslate\">$$ {\\omega\\rightarrow 0\\} $$<\/div> \u3001\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u6f38\u8fd1\u7dda\u306f\u50be\u304d q (q*20dB\/Decade) \u306e\u76f4\u7dda\u3067\u3042\u308a\u3001\u4f4d\u76f8\u306f\u4e00\u5b9a\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {q \\times 90^\\circ\\} $$<\/div> \u3002\u305d\u306e\u5f8c\u3001\u8108\u52d5\u306b\u906d\u9047\u3059\u308b\u305f\u3073\u306b\u3001\u6b21\u306e\u624b\u9806\u306b\u5f93\u3063\u3066\u30c8\u30ec\u30fc\u30b9\u3092\u5909\u66f4\u3057\u307e\u3059\u3002<\/p><ul><li>\u306e\u305f\u3081\u306b<div class=\"math-formual notranslate\">$$ {\\omega=\\omega_k\\} $$<\/div>\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u30b9\u30ed\u30fc\u30d7\u306b +2 \u3092\u52a0\u3048\u307e\u3059 (+40dB\/Decade)\u3002 <div class=\"math-formual notranslate\">$$ {180^\\circ\\times \\operatorname{signe(\\omega_k\\xi_k)}\\} $$<\/div>\u30d5\u30a7\u30fc\u30ba\u3078\u3002<\/li><li>\u306e\u305f\u3081\u306b<div class=\"math-formual notranslate\">$$ {\\omega=\\omega_l\\} $$<\/div>\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u30b9\u30ed\u30fc\u30d7\u306b +1 \u3092\u52a0\u3048\u307e\u3059 (+20dB\/Decade)\u3002 <div class=\"math-formual notranslate\">$$ {90^\\circ \\times \\operatorname{signe(\\omega_l)}\\} $$<\/div>\u30d5\u30a7\u30fc\u30ba\u3078\u3002<\/li><li>\u306e\u305f\u3081\u306b<div class=\"math-formual notranslate\">$$ {\\omega=\\omega_m\\} $$<\/div>\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u30b9\u30ed\u30fc\u30d7 (-40dB\/Decade) \u306b -2 \u3092\u52a0\u3048\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {-180^\\circ \\times \\operatorname{signe(\\omega_m\\xi_m)}\\} $$<\/div>\u30d5\u30a7\u30fc\u30ba\u3078\u3002<\/li><li>\u306e\u305f\u3081\u306b<div class=\"math-formual notranslate\">$$ {\\omega=\\omega_n\\} $$<\/div>\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u30b9\u30ed\u30fc\u30d7 (-20dB\/Decade) \u306b -1 \u3092\u8ffd\u52a0\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {-90^\\circ \\times \\operatorname{signe(\\omega_n)}\\} $$<\/div>\u30d5\u30a7\u30fc\u30ba\u3078\u3002<\/li><\/ul><h2><span>\u30c7\u30b8\u30bf\u30eb\u30b7\u30b9\u30c6\u30e0\u306e\u56f3\u9762<\/span><\/h2><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30dc\u30fc\u30c9\u7dda\u56f3\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/iq5cR6wAh50\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span>\u8108\u52d5\u9818\u57df\u306e\u5236\u9650<\/span><\/h3><p>\u4eca\u56de\u306f\u4f1d\u9054\u95a2\u6570\u304c\u3042\u308a\u307e\u3059<div class=\"math-formual notranslate\">$$ {G(z)=\\mathcal{Z}\\{g(n)\\}\\} $$<\/div>\u30c7\u30a3\u30b9\u30af\u30ea\u30fc\u30c8\u30b7\u30b9\u30c6\u30e0\u306e\u3002<\/p><p>\u30dc\u30fc\u30c9\u7dda\u56f3\u3092\u53d6\u5f97\u3059\u308b\u306b\u306f\u3001\u5358\u4f4d<span><a href=\"https:\/\/science-hub.click\/?p=69721\">\u5186<\/a><\/span>\u4e0a\u3067\u95a2\u6570\u3092\u8a55\u4fa1\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p><p>\u8a00\u3044\u63db\u3048\u308b\u3068\u3001 <div class=\"math-formual notranslate\">$$ {z=e^{2\\pi j\\nu} \\} $$<\/div>\u3068<div class=\"math-formual notranslate\">$$ {\\nu \\in \\left[0;\\frac{1}{2}\\right]} $$<\/div> (\u5bfe\u79f0\u6027\u306b\u3088\u308a\u5b8c\u5168\u306a\u5186\u304c\u5f97\u3089\u308c\u307e\u3059)\u3002<\/p><p>\u96e2\u6563\u30b7\u30b9\u30c6\u30e0\u304c\u9023\u7d9a\u30b7\u30b9\u30c6\u30e0\u306e\u5468\u671f T \u3067\u306e<span><a href=\"https:\/\/science-hub.click\/?p=53499\">\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0<\/a><\/span>\u304b\u3089\u53d6\u5f97\u3055\u308c\u305f\u5834\u5408\u3001 <div class=\"math-formual notranslate\">$$ {z=e^{j\\omega T} \\} $$<\/div>\u3068<div class=\"math-formual notranslate\">$$ {\\omega \\in \\left[0;\\frac{\\pi}{T}\\right]} $$<\/div> \u3002<\/p><p>\u3055\u3089\u306b\u3001\u95a2\u4fc2<div class=\"math-formual notranslate\">$$ {|G(z)|_{z=e^{2\\pi j\\nu}}\\} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\operatorname{arg(G(z)_{z=e^{2\\pi j\\nu}})}\\} $$<\/div> \uff5e\u306b\u304a\u3044\u3066\u5408\u7406\u7684\u3067\u306f\u306a\u3044<div class=\"math-formual notranslate\">$$ {\\nu\\} $$<\/div> \u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30eb\u30fc\u30c8\u306e\u691c\u8a0e\u306f\u8907\u96d1\u3067\u3042\u308a\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30ea\u30bd\u30fc\u30b9\u3092\u5fc5\u8981\u3068\u3059\u308b\u3002<\/p><h3><span><span><a href=\"https:\/\/science-hub.click\/?p=35122\">\u53cc\u4e00\u6b21<\/a><\/span>\u5909\u63db<\/span><\/h3><p>\u305f\u3060\u3057\u3001\u9023\u7d9a\u30b1\u30fc\u30b9\u306b\u623b\u308b\u3053\u3068\u3092\u53ef\u80fd\u306b\u3059\u308b\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u304c\u3042\u308a\u307e\u3059\u3002 <\/p><dl><dd><dl><dd><div class=\"math-formual notranslate\">$$ {z=\\frac{\\frac{2}{T}+w}{\\frac{2}{T}-w}\\} $$<\/div><\/dd><\/dl><\/dd><\/dl><p>\u307e\u305f\u306f<span><a href=\"https:\/\/science-hub.click\/?p=94311\">\u9006<\/a><\/span>\u95a2\u6570<div class=\"math-formual notranslate\">$$ {w=\\frac{2}{T}\\frac{z-1}{z+1}\\} $$<\/div><\/p><p>\u3053\u308c\u304c\u30e1\u30d3\u30a6\u30b9\u5909\u63db\u3067\u3059\u3002<\/p><p>\u3053\u306e\u5909\u63db\u306f\u865a\u6570\u8ef8\u3068\u4e00\u81f4\u3057\u307e\u3059<div class=\"math-formual notranslate\">$$ {w=j\\Omega\\} $$<\/div>\u5358\u4f4d\u5186\u3092\u6301\u3064\u9023\u7d9a\u9818\u57df\u306e<div class=\"math-formual notranslate\">$$ {z=e^{j\\omega T}\\} $$<\/div>\u96e2\u6563\u9818\u57df\u306e<div class=\"math-formual notranslate\">$$ {\\omega=\\frac{2}{T}\\operatorname{arctan \\left(\\frac{T \\Omega}{2}\\right)}\\} $$<\/div> \u3002<\/p><p>\u305f\u3060\u3057\u3001\u305d\u306e\u3068\u304d<div class=\"math-formual notranslate\">$$ {\\omega T\\ll 1} $$<\/div> \u3001 \u6211\u3005\u306f\u6301\u3063\u3066\u3044\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\omega\\approx\\Omega\\} $$<\/div> \u3001\u3053\u306e\u5834\u5408\u3001\u79c1\u305f\u3061\u306f\u7814\u7a76\u3059\u3079\u304d\u6709\u7406\u5206\u6570\u306e\u9023\u7d9a\u7684\u306a\u5834\u5408\u306b\u3044\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u5f8c\u3001\u30a2\u30ca\u30ed\u30b0 \u30b7\u30b9\u30c6\u30e0\u306e\u53e4\u5178\u7684\u306a\u7814\u7a76\u306b\u623b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\omega \\in \\left[0;\\frac{\\pi}{T}\\right]} $$<\/div>\u56f3\u306e\u5024\u304c\u8fd1\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\omega= \\frac{\\pi}{T}\\} $$<\/div>\u30a8\u30e9\u30fc\u306b\u3088\u3063\u3066\u6c5a\u67d3\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/ar.wikipedia.org\/wiki\/%D9%85%D8%AE%D8%B7%D8%B7_%D8%A8%D9%88%D8%AF\">\u0645\u062e\u0637\u0637 \u0628\u0648\u062f \u2013 arabe<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ca.wikipedia.org\/wiki\/Diagrama_de_Bode\">Diagrama de Bode \u2013 catalan<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Bode-Diagramm\">Bode-Diagramm \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Bode_plot\">Bode plot \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/eo.wikipedia.org\/wiki\/Logaritma_amplituda_kaj_faza_frekvenca_karakterizo\">Logaritma amplituda kaj faza frekvenca karakterizo \u2013 esp\u00e9ranto<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/es.wikipedia.org\/wiki\/Diagrama_de_Bode\">Diagrama de Bode \u2013 espagnol<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u30dc\u30fc\u30c9\u7dda\u56f3\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"[\u5236\u5fa1] \u4f1d\u9054\u95a2\u6570 part 2 (\u30dc\u30fc\u30c9\u7dda\u56f3)\u3010\u5de5\u5b66\u3011\u2705\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/2D99L4fFLaY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u30dc\u30fc\u30c9\u7dda\u56f3\u306f\u3001\u30b7\u30b9\u30c6\u30e0\u306e\u5468\u6ce2\u6570\u52d5\u4f5c\u3092\u8868\u3059\u65b9\u6cd5\u3067\u3059\u3002\u7279\u306b\u30a2\u30ca\u30ed\u30b0 \u30b7\u30b9\u30c6\u30e0\u306e\u4f1d\u9054\u95a2\u6570\u306e\u7814\u7a76\u306b\u304a\u3044\u3066\u3001\u7c21\u7d20\u5316\u3055\u308c\u305f\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u89e3\u50cf\u5ea6\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u30b2\u30a4\u30f3\u4f59\u88d5\u3001\u4f4d\u76f8\u4f59\u88d5\u3001\u9023\u7d9a\u30b2\u30a4\u30f3\u3001\u5e2f\u57df\u5e45\u3001\u5916\u4e71\u9664\u53bb\u3001\u30b7\u30b9\u30c6\u30e0\u306e\u5b89\u5b9a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":28117,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/J4T38l8VOj8\/0.jpg","fifu_image_alt":"\u30dc\u30fc\u30c9\u7dda\u56f3\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[11,13,10,14,29425,29423,632,12,16,15],"class_list":["post-28116","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-techniques","tag-technologie","tag-actualite","tag-news","tag-bode","tag-diagramme-de-bode","tag-diagramme","tag-dossier","tag-sciences","tag-article"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/28116"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=28116"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/28116\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/28117"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=28116"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=28116"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=28116"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}