{"id":6010,"date":"2023-11-23T21:29:54","date_gmt":"2023-11-23T12:29:54","guid":{"rendered":"https:\/\/now0930.pe.kr\/wordpress\/?p=6010"},"modified":"2026-10-04T08:09:07","modified_gmt":"2026-10-03T23:09:07","slug":"convolution-integral","status":"publish","type":"post","link":"https:\/\/now0930.pe.kr\/wordpress\/convolution-integral\/","title":{"rendered":"convolution integral"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\uc65c convolution\uc774 \uc911\uc694\ud55c\uac00? impulse response, h(t)\ub97c \uc54c \uc218 \uc788\ub2e4\uba74, \uc785\ub825 \ud568\uc218 x(t)\uc640 h(t)\ub97c convolution\ud558\uba74 \ucd9c\ub825 y(t)\ub97c \uc54c \uc218 \uc788\ub2e4. \ub2e8 LTI \uc2dc\uc2a4\ud15c\uc5d0\uc11c\ub9cc \uc131\ub9bd\ud55c\ub2e4. superposition + time shift <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/blog.naver.com\/PostView.naver?blogId=ycpiglet&amp;logNo=222556985523\">https:\/\/blog.naver.com\/PostView.naver?blogId=ycpiglet&amp;logNo=222556985523<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Convolution\">https:\/\/en.wikipedia.org\/wiki\/Convolution<\/a><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"[\uc81c\uc5b4\uacf5\ud559 \ubf40\uac1c\uae30] 4-2. Basic of dynamic response - convolution in time domain, impulse response (\ucee8\ubcfc\ub8e8\uc158)\" width=\"580\" height=\"435\" src=\"https:\/\/www.youtube.com\/embed\/OwJ71fjNU0A?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><\/figure>\n\n\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\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"\uc2dc\uc2a4\ud15c\ubaa8\ub378\ub9c1\ubc0f\uc81c\uc5b4 3.1-(1) Convolution \uc5f0\uc0b0\uc758 \uc774\ud574\" width=\"580\" height=\"326\" src=\"https:\/\/www.youtube.com\/embed\/r0UpCEG5G_A?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><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"936\" height=\"1280\" src=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2024\/03\/\uc81c\ubaa9-\uc5c6\uc74c-57.jpg\" alt=\"\" class=\"wp-image-6962\" srcset=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2024\/03\/\uc81c\ubaa9-\uc5c6\uc74c-57.jpg 936w, https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2024\/03\/\uc81c\ubaa9-\uc5c6\uc74c-57-768x1050.jpg 768w\" sizes=\"auto, (max-width: 936px) 100vw, 936px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1498\" height=\"2048\" src=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2023\/11\/image-2.png\" alt=\"\" class=\"wp-image-6012\" srcset=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2023\/11\/image-2.png 1498w, https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2023\/11\/image-2-768x1050.png 768w, https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2023\/11\/image-2-1124x1536.png 1124w\" sizes=\"auto, (max-width: 1498px) 100vw, 1498px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1498\" height=\"1124\" src=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2023\/11\/image-3-edited.png\" alt=\"\" class=\"wp-image-6014\" srcset=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2023\/11\/image-3-edited.png 1498w, https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2023\/11\/image-3-edited-768x576.png 768w\" sizes=\"auto, (max-width: 1498px) 100vw, 1498px\" \/><\/figure>\n\n\n\n<div class=\"chapter19-wide\">\n\n  <h1>Convolution Integral<\/h1>\n\n  <div class=\"subtitle\">\n    Impulse \u2192 Impulse Response \u2192 Time Shift \u2192 Superposition \u2192 Convolution \u2192 Output\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>1. Convolution Integral \uc804\uccb4 \ud750\ub984<\/h2>\n\n  <div class=\"card\">\n\n    <div class=\"memory\">\n      <strong>\n        LTI System\uc5d0\uc11c Impulse Response h(t)\ub97c \uc54c\uace0 \uc788\ub2e4\uba74,\n        \uc784\uc758\uc758 \uc785\ub825 x(t)\uc5d0 \ub300\ud55c \ucd9c\ub825 y(t)\ub97c \uad6c\ud560 \uc218 \uc788\ub2e4.\n      <\/strong>\n    <\/div>\n\n    <div class=\"flow\">\n      Input x(t)\n      \u2192 Impulse\ub4e4\uc758 \ud569\uc73c\ub85c \ubd84\ud574\n      \u2192 \uac01\uac01\uc758 Impulse Response\n      \u2192 Time Shift\n      \u2192 Superposition\n      \u2192 Convolution Integral\n      \u2192 Output y(t)\n    <\/div>\n\n    <p>\n      Convolution\uc758 \ucd9c\ubc1c\uc810\uc740\n      \uc2dc\uc2a4\ud15c\uc5d0 impulse\ub97c \uc785\ub825\ud588\uc744 \ub54c \ub098\ud0c0\ub098\ub294\n      impulse response h(t)\uc774\ub2e4.\n    <\/p>\n\n    <div class=\"flow\">\n      \u03b4(t)\n      \u2192 LTI System\n      \u2192 h(t)\n    <\/div>\n\n    <p>\n      LTI System\uc5d0\uc11c\ub294 \uc784\uc758\uc758 \uc785\ub825 x(t)\ub97c\n      \ub9e4\uc6b0 \uc791\uc740 impulse\ub4e4\uc758 \ud569\uc73c\ub85c \uc0dd\uac01\ud560 \uc218 \uc788\ub2e4.\n    <\/p>\n\n    <p>\n      \uac01 impulse\uc5d0 \ub300\ud55c \uc2dc\uc2a4\ud15c \uc751\ub2f5\uc744 \uad6c\ud55c \ub4a4,\n      \ubaa8\ub4e0 \uc751\ub2f5\uc744 \ub354\ud558\uba74 \uc804\uccb4 \ucd9c\ub825 y(t)\ub97c \uc5bb\uc744 \uc218 \uc788\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      y(t)\n      =\n      x(t) * h(t)\n    <\/div>\n\n    <div class=\"formula\">\n      y(t)\n      =\n      \u222b<sub>-\u221e<\/sub><sup>\u221e<\/sup>\n      x(\u03c4)h(t-\u03c4)d\u03c4\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        Convolution\uc740\n        \uc785\ub825 x(t)\uac00 \ub9cc\ub4e0 \uac01\uac01\uc758 \uc791\uc740 \uc751\ub2f5\uc744\n        \ud604\uc7ac \uc2dc\uac04 t\uc5d0\uc11c \ubaa8\ub450 \ud569\uc0b0\ud558\ub294 \uc5f0\uc0b0\uc774\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>2. \uc6a9\uc5b4 \uc815\uc758<\/h2>\n\n\n  <!-- ================================================= -->\n  <h3>2.1 Impulse \u03b4(t)<\/h3>\n\n  <div class=\"card\">\n\n    <p>\n      Impulse \u03b4(t)\ub294\n      \ub9e4\uc6b0 \uc9e7\uc740 \uc21c\uac04\uc5d0 \uc791\uc6a9\ud558\ub294 \uc774\uc0c1\uc801\uc778 \uc785\ub825 \uc2e0\ud638\uc774\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      \u03b4(t)\n    <\/div>\n\n    <p>\n      LTI System\uc5d0 \ub2e8\uc704 impulse\ub97c \uc785\ub825\ud588\uc744 \ub54c\uc758 \ucd9c\ub825\uc744\n      Impulse Response\ub77c\uace0 \ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"flow\">\n      \u03b4(t)\n      \u2192 System\n      \u2192 h(t)\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        Impulse\ub294 \uc2dc\uc2a4\ud15c\uc758 \ub3d9\ud2b9\uc131\uc744 \ud655\uc778\ud558\uae30 \uc704\ud55c\n        \uae30\ubcf8 \uc785\ub825\uc774\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h3>2.2 Impulse Response h(t)<\/h3>\n\n  <div class=\"card\">\n\n    <p>\n      Impulse Response h(t)\ub294\n      LTI System\uc5d0 \ub2e8\uc704 impulse \u03b4(t)\ub97c \uc785\ub825\ud588\uc744 \ub54c\n      \ub098\ud0c0\ub098\ub294 \ucd9c\ub825\uc774\ub2e4.\n    <\/p>\n\n    <div class=\"flow\">\n      Input = \u03b4(t)\n      \u2192 LTI System\n      \u2192 Output = h(t)\n    <\/div>\n\n    <p>\n      LTI System\uc5d0\uc11c\ub294 h(t)\ub97c \uc54c\uace0 \uc788\uc73c\uba74\n      \uc784\uc758\uc758 \uc785\ub825\uc5d0 \ub300\ud55c \ucd9c\ub825\uc744 \uacc4\uc0b0\ud560 \uc218 \uc788\ub2e4.\n    <\/p>\n\n    <div class=\"memory\">\n      <strong>\n        h(t)\ub294 \uc2dc\uc2a4\ud15c\uc774\n        impulse \ud558\ub098\uc5d0 \uc5b4\ub5bb\uac8c \ubc18\uc751\ud558\ub294\uc9c0\ub97c \ub098\ud0c0\ub0b8\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h3>2.3 LTI System<\/h3>\n\n  <div class=\"card\">\n\n    <p>\n      Convolution \uad00\uacc4\ub294\n      Linear Time-Invariant System,\n      \uc989 LTI System\uc5d0\uc11c \uc131\ub9bd\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"grid-2\">\n\n      <div class=\"memory\">\n        <strong>Linear<\/strong>\n        <br><br>\n        Superposition \uc131\ub9bd\n      <\/div>\n\n      <div class=\"memory\">\n        <strong>Time-Invariant<\/strong>\n        <br><br>\n        Time Shift \uc131\ub9bd\n      <\/div>\n\n    <\/div>\n\n    <div class=\"flow\">\n      Linearity\n      +\n      Time Invariance\n      \u2192 Convolution \uac00\ub2a5\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        Convolution\uc758 \ud575\uc2ec \uc870\uac74\uc740\n        Superposition\uacfc Time Shift\uc774\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h3>2.4 Linearity\uc640 Superposition<\/h3>\n\n  <div class=\"card\">\n\n    <p>\n      Linear System\uc5d0\uc11c\ub294\n      \uc5ec\ub7ec \uc785\ub825\uc5d0 \ub300\ud55c \uc751\ub2f5\uc744 \uac01\uac01 \uad6c\ud55c \ub4a4\n      \ub354\ud560 \uc218 \uc788\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      x\u2081(t) \u2192 y\u2081(t)\n    <\/div>\n\n    <div class=\"formula\">\n      x\u2082(t) \u2192 y\u2082(t)\n    <\/div>\n\n    <p>\n      \uadf8\ub7ec\uba74\n    <\/p>\n\n    <div class=\"formula\">\n      a x\u2081(t) + b x\u2082(t)\n      \u2192\n      a y\u2081(t) + b y\u2082(t)\n    <\/div>\n\n    <p>\n      \uc774\ub97c Superposition Principle\uc774\ub77c\uace0 \ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"memory\">\n      <strong>\n        \uc785\ub825\uc744 \uc798\uac8c \ub098\ub204\uc5b4 \uac01\uac01\uc758 \uc751\ub2f5\uc744 \uacc4\uc0b0\ud55c \ub4a4\n        \ub2e4\uc2dc \ud569\uce60 \uc218 \uc788\ub294 \uc774\uc720\uac00 Linearity\uc774\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h3>2.5 Time Invariance\uc640 Time Shift<\/h3>\n\n  <div class=\"card\">\n\n    <p>\n      Time-Invariant System\uc5d0\uc11c\ub294\n      \uc785\ub825\uc774 \uc2dc\uac04\ucd95\uc5d0\uc11c \uc774\ub3d9\ud558\uba74\n      \ucd9c\ub825\ub3c4 \ub3d9\uc77c\ud55c \ub9cc\ud07c \uc774\ub3d9\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      \u03b4(t)\n      \u2192 h(t)\n    <\/div>\n\n    <p>\n      Impulse\uac00 \u03c4\ub9cc\ud07c \uc774\ub3d9\ud558\uba74\n    <\/p>\n\n    <div class=\"formula\">\n      \u03b4(t-\u03c4)\n      \u2192 h(t-\u03c4)\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        \uc785\ub825\uc758 \ubc1c\uc0dd \uc2dc\uac04\uc774 \ubc14\ub00c\uba74\n        \uc751\ub2f5\uc758 \ubaa8\uc591\uc740 \uadf8\ub300\ub85c\uc774\uace0\n        \ubc1c\uc0dd \uc2dc\uac04\ub9cc \uc774\ub3d9\ud55c\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h3>2.6 \uc785\ub825 x(t)\ub97c Impulse\ub85c \ud45c\ud604<\/h3>\n\n  <div class=\"card\">\n\n    <p>\n      \uc784\uc758\uc758 \uc785\ub825 x(t)\ub294\n      \uc11c\ub85c \ub2e4\ub978 \uc2dc\uac04\uc5d0 \uc874\uc7ac\ud558\ub294\n      \ubb34\uc218\ud788 \ub9ce\uc740 impulse\uc758 \ud569\uc73c\ub85c \ud45c\ud604\ud560 \uc218 \uc788\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      x(t)\n      =\n      \u222b<sub>-\u221e<\/sub><sup>\u221e<\/sup>\n      x(\u03c4)\u03b4(t-\u03c4)d\u03c4\n    <\/div>\n\n    <p>\n      \uc5ec\uae30\uc11c \u03c4\ub294\n      \uacfc\uac70\uc758 \uc5b4\ub290 \ud55c \uc785\ub825 \ubc1c\uc0dd \uc2dc\uac04\uc744 \ub098\ud0c0\ub0b8\ub2e4.\n    <\/p>\n\n    <div class=\"flow\">\n      x(t)\n      \u2192 \uc791\uc740 Impulse\ub4e4\ub85c \ubd84\ud574\n      \u2192 x(\u03c4)\u03b4(t-\u03c4)\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        x(\u03c4)\ub294 \u03c4 \uc2dc\uc810\uc758 \uc785\ub825 \ud06c\uae30\uc774\uace0,\n        \u03b4(t-\u03c4)\ub294 \u03c4 \uc2dc\uc810\uc5d0 \ubc1c\uc0dd\ud55c impulse\ub97c \uc758\ubbf8\ud55c\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h3>2.7 Convolution Integral<\/h3>\n\n  <div class=\"card\">\n\n    <p>\n      \u03c4 \uc2dc\uc810\uc5d0\uc11c \ud06c\uae30 x(\u03c4)\ub97c \uac16\ub294 impulse\uac00\n      \uc2dc\uc2a4\ud15c\uc5d0 \uc785\ub825\ub418\uc5c8\ub2e4\uace0 \uc0dd\uac01\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      x(\u03c4)\u03b4(t-\u03c4)\n    <\/div>\n\n    <p>\n      \ub2e8\uc704 impulse\uc5d0 \ub300\ud55c \uc751\ub2f5\uc774 h(t)\uc774\ubbc0\ub85c,\n      Time Invariance\uc5d0 \uc758\ud574\n      \u03c4 \uc2dc\uc810\uc758 impulse\uc5d0 \ub300\ud55c \uc751\ub2f5\uc740\n      h(t-\u03c4)\uac00 \ub41c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      \u03b4(t-\u03c4)\n      \u2192 h(t-\u03c4)\n    <\/div>\n\n    <p>\n      Impulse\uc758 \ud06c\uae30\uac00 x(\u03c4)\uc774\ubbc0\ub85c\n      \uc2e4\uc81c \uc751\ub2f5\uc740\n    <\/p>\n\n    <div class=\"formula\">\n      x(\u03c4)h(t-\u03c4)\n    <\/div>\n\n    <p>\n      \uc774\ub2e4.\n    <\/p>\n\n    <p>\n      \ubaa8\ub4e0 \u03c4\uc5d0 \ub300\ud574 \uc774 \uc751\ub2f5\uc744 \ub354\ud558\uba74\n      \uc804\uccb4 \ucd9c\ub825\uc774 \ub41c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      y(t)\n      =\n      \u222b<sub>-\u221e<\/sub><sup>\u221e<\/sup>\n      x(\u03c4)h(t-\u03c4)d\u03c4\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        \uc774\uac83\uc774 Convolution Integral\uc774\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h3>2.8 \u03c4\uc640 t\uc758 \uc758\ubbf8<\/h3>\n\n  <div class=\"card\">\n\n    <div class=\"grid-2\">\n\n      <div class=\"memory\">\n        <strong>\u03c4<\/strong>\n        <br><br>\n        \uc785\ub825\uc774 \ubc1c\uc0dd\ud55c \uc2dc\uac04\n      <\/div>\n\n      <div class=\"memory\">\n        <strong>t<\/strong>\n        <br><br>\n        \ud604\uc7ac \ucd9c\ub825\uc744 \uad6c\ud558\ub824\ub294 \uc2dc\uac04\n      <\/div>\n\n    <\/div>\n\n    <p>\n      Convolution Integral\uc5d0\uc11c\n      \u03c4\ub294 \uc801\ubd84 \uacfc\uc815\uc5d0\uc11c \uc774\ub3d9\ud558\ub294 \ubcc0\uc218\uc774\uace0,\n      t\ub294 \ucd9c\ub825\uc744 \uad6c\ud558\ub824\ub294 \ud604\uc7ac \uc2dc\uac04\uc774\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      x(\u03c4)\n      \u00d7\n      h(t-\u03c4)\n    <\/div>\n\n    <p>\n      \uc989 \u03c4 \uc2dc\uc810\uc5d0 \ub4e4\uc5b4\uc628 \uc785\ub825\uc774\n      \ud604\uc7ac t \uc2dc\uc810\uc758 \ucd9c\ub825\uc5d0 \uc5bc\ub9c8\ub098 \uc601\ud5a5\uc744 \uc8fc\ub294\uc9c0\ub97c \uacc4\uc0b0\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"memory\">\n      <strong>\n        \uacfc\uac70 \uc785\ub825 x(\u03c4)\uac00\n        \uc2dc\uc2a4\ud15c\uc758 \uc751\ub2f5 h(t-\u03c4)\ub97c \uac70\uccd0\n        \ud604\uc7ac \ucd9c\ub825 y(t)\uc5d0 \uae30\uc5ec\ud55c\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>3. \uc6a9\uc5b4 \uac04 \uad00\uacc4<\/h2>\n\n  <div class=\"table-wrap\">\n\n    <table>\n\n      <thead>\n        <tr>\n          <th>\uc6a9\uc5b4<\/th>\n          <th>\uc758\ubbf8<\/th>\n          <th>Convolution\uacfc\uc758 \uad00\uacc4<\/th>\n        <\/tr>\n      <\/thead>\n\n      <tbody>\n\n        <tr>\n          <td><strong>Impulse \u03b4(t)<\/strong><\/td>\n          <td>\uc21c\uac04\uc801\uc778 \uae30\ubcf8 \uc785\ub825<\/td>\n          <td>System Response\ub97c \ud655\uc778\ud558\ub294 \uae30\ubcf8 \uc785\ub825<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Impulse Response h(t)<\/strong><\/td>\n          <td>Impulse \uc785\ub825\uc5d0 \ub300\ud55c \uc2dc\uc2a4\ud15c \ucd9c\ub825<\/td>\n          <td>\uc2dc\uc2a4\ud15c\uc758 \ub3d9\ud2b9\uc131\uc744 \ud45c\ud604<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Linearity<\/strong><\/td>\n          <td>\uc785\ub825\ub4e4\uc758 \uc751\ub2f5\uc744 \ud569\ud560 \uc218 \uc788\uc74c<\/td>\n          <td>Superposition \uac00\ub2a5<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Time Invariance<\/strong><\/td>\n          <td>\uc785\ub825 \uc774\ub3d9 \u2192 \ucd9c\ub825\ub3c4 \ub3d9\uc77c\ud558\uac8c \uc774\ub3d9<\/td>\n          <td>h(t-\u03c4) \uc0dd\uc131<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>x(\u03c4)<\/strong><\/td>\n          <td>\u03c4 \uc2dc\uc810\uc758 \uc785\ub825 \ud06c\uae30<\/td>\n          <td>\uac01 Impulse\uc758 \ud06c\uae30<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>h(t-\u03c4)<\/strong><\/td>\n          <td>\u03c4 \uc2dc\uc810 \uc785\ub825\uc774 \ud604\uc7ac t\uc5d0 \ub9cc\ub4dc\ub294 \uc751\ub2f5<\/td>\n          <td>Time-Shifted Impulse Response<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Convolution<\/strong><\/td>\n          <td>\uac01 \uc785\ub825\uc758 \uc751\ub2f5\uc744 \ubaa8\ub450 \ud569\uc0b0<\/td>\n          <td>y(t) = x(t) * h(t)<\/td>\n        <\/tr>\n\n      <\/tbody>\n\n    <\/table>\n\n  <\/div>\n\n\n  <h3>Convolution\uc758 \ud575\uc2ec \uc5f0\uacb0<\/h3>\n\n  <div class=\"flow\">\n    \u03b4(t)\n    \u2192 h(t)\n    \u2192 \u03b4(t-\u03c4)\n    \u2192 h(t-\u03c4)\n    \u2192 x(\u03c4)h(t-\u03c4)\n    \u2192 \ubaa8\ub4e0 \u03c4\uc5d0 \ub300\ud574 \ud569\uc0b0\n    \u2192 y(t)\n  <\/div>\n\n\n  <div class=\"formula\">\n    y(t)\n    =\n    x(t) * h(t)\n  <\/div>\n\n  <div class=\"formula\">\n    y(t)\n    =\n    \u222b<sub>-\u221e<\/sub><sup>\u221e<\/sup>\n    x(\u03c4)h(t-\u03c4)d\u03c4\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>4. \ud558\ub098\uc758 \uc2a4\ud1a0\ub9ac\ub85c \uc774\ud574\ud558\uae30<\/h2>\n\n\n  <div class=\"story\">\n\n    <h3>Step 1. \uc2dc\uc2a4\ud15c\uc758 \ud2b9\uc131\uc744 \uc54c\uace0 \uc2f6\ub2e4<\/h3>\n\n    <p>\n      \uc5b4\ub5a4 \ub3d9\uc801 \uc2dc\uc2a4\ud15c\uc774 \uc788\ub2e4.\n    <\/p>\n\n    <p>\n      \uc774 \uc2dc\uc2a4\ud15c\uc5d0 \uac00\uc7a5 \uae30\ubcf8\uc801\uc778 \uc785\ub825\uc778\n      \ub2e8\uc704 impulse \u03b4(t)\ub97c \ub123\uc5b4 \ubcf8\ub2e4.\n    <\/p>\n\n    <div class=\"flow\">\n      \u03b4(t)\n      \u2192 System\n      \u2192 h(t)\n    <\/div>\n\n    <p>\n      \uc2dc\uc2a4\ud15c\uc774 \ubcf4\uc5ec\uc8fc\ub294 \uc751\ub2f5\uc744\n      Impulse Response h(t)\ub77c\uace0 \ud55c\ub2e4.\n    <\/p>\n\n  <\/div>\n\n\n  <div class=\"story\">\n\n    <h3>Step 2. \uc2e4\uc81c \uc785\ub825\uc740 Impulse \ud558\ub098\uac00 \uc544\ub2c8\ub2e4<\/h3>\n\n    <p>\n      \uc2e4\uc81c \uc785\ub825 x(t)\ub294\n      \uc2dc\uac04\uc5d0 \ub530\ub77c \uacc4\uc18d \ubcc0\ud55c\ub2e4.\n    <\/p>\n\n    <p>\n      \ub530\ub77c\uc11c x(t)\ub97c\n      \uc5ec\ub7ec \uac1c\uc758 \uc791\uc740 impulse\ub4e4\uc774\n      \uc5f0\uc18d\uc801\uc73c\ub85c \ub4e4\uc5b4\uc624\ub294 \uac83\uc73c\ub85c \uc0dd\uac01\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"flow\">\n      x(t)\n      \u2192 Impulse\ub4e4\uc758 \uc5f0\uc18d\uc801\uc778 \ud569\n    <\/div>\n\n  <\/div>\n\n\n  <div class=\"story\">\n\n    <h3>Step 3. \u03c4 \uc2dc\uc810\uc5d0 \uc791\uc740 \uc785\ub825\uc774 \ub4e4\uc5b4\uc654\ub2e4<\/h3>\n\n    <p>\n      \u03c4 \uc2dc\uc810\uc758 \uc785\ub825 \ud06c\uae30\ub97c x(\u03c4)\ub77c\uace0 \ud558\uc790.\n    <\/p>\n\n    <div class=\"formula\">\n      x(\u03c4)\u03b4(t-\u03c4)\n    <\/div>\n\n    <p>\n      \uc774\ub294 \u03c4 \uc2dc\uc810\uc5d0 \ud06c\uae30 x(\u03c4)\uc758\n      impulse\uac00 \ub4e4\uc5b4\uc628 \uac83\uacfc \uac19\ub2e4.\n    <\/p>\n\n  <\/div>\n\n\n  <div class=\"story\">\n\n    <h3>Step 4. Time Shift\ub97c \uc801\uc6a9\ud55c\ub2e4<\/h3>\n\n    <p>\n      0\ucd08\uc5d0\uc11c impulse\ub97c \ub123\uc5c8\uc744 \ub54c\n      \uc2dc\uc2a4\ud15c \uc751\ub2f5\uc774 h(t)\uc600\ub2e4.\n    <\/p>\n\n    <p>\n      \uadf8\ub807\ub2e4\uba74 \u03c4\ucd08\uc5d0\uc11c impulse\ub97c \ub123\uc73c\uba74\n      Time-Invariant System\uc5d0\uc11c\ub294\n      \uc751\ub2f5\ub3c4 \u03c4\ub9cc\ud07c \uc774\ub3d9\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      \u03b4(t-\u03c4)\n      \u2192 h(t-\u03c4)\n    <\/div>\n\n  <\/div>\n\n\n  <div class=\"story\">\n\n    <h3>Step 5. \uc785\ub825\uc758 \ud06c\uae30\ub9cc\ud07c \uc751\ub2f5\ub3c4 \ucee4\uc9c4\ub2e4<\/h3>\n\n    <p>\n      \u03c4 \uc2dc\uc810 impulse\uc758 \ud06c\uae30\ub294\n      x(\u03c4)\uc774\ub2e4.\n    <\/p>\n\n    <p>\n      Linear System\uc774\ubbc0\ub85c\n      \ucd9c\ub825 \uc5ed\uc2dc \uac19\uc740 \ube44\uc728\ub85c \uc99d\uac00\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      x(\u03c4)\u03b4(t-\u03c4)\n      \u2192\n      x(\u03c4)h(t-\u03c4)\n    <\/div>\n\n  <\/div>\n\n\n  <div class=\"story\">\n\n    <h3>Step 6. \ubaa8\ub4e0 \uc785\ub825\uc758 \uc601\ud5a5\uc744 \ub354\ud55c\ub2e4<\/h3>\n\n    <p>\n      \uc2e4\uc81c \uc785\ub825\uc740 \ud55c \uc2dc\uc810\uc5d0\ub9cc \uc874\uc7ac\ud558\ub294 \uac83\uc774 \uc544\ub2c8\ub2e4.\n    <\/p>\n\n    <p>\n      \ubaa8\ub4e0 \u03c4 \uc2dc\uc810\uc5d0\uc11c \ubc1c\uc0dd\ud55c \uc785\ub825\uc774\n      \ud604\uc7ac t\uc758 \ucd9c\ub825\uc5d0 \uc601\ud5a5\uc744 \uc900\ub2e4.\n    <\/p>\n\n    <p>\n      \ub530\ub77c\uc11c \ubaa8\ub4e0 \uc751\ub2f5\uc744 \uc801\ubd84\ud558\uc5ec \ud569\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      y(t)\n      =\n      \u222b<sub>-\u221e<\/sub><sup>\u221e<\/sup>\n      x(\u03c4)h(t-\u03c4)d\u03c4\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        \uc774\uac83\uc774 Convolution\uc774\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <div class=\"story\">\n\n    <h3>Step 7. \uacb0\uad6d \ubb34\uc5c7\uc744 \uacc4\uc0b0\ud558\ub294\uac00?<\/h3>\n\n    <p>\n      Convolution\uc740 \uacfc\uac70\uc758 \uac01\uac01\uc758 \uc785\ub825\uc774\n      \ud604\uc7ac \ucd9c\ub825\uc5d0 \uc5bc\ub9c8\ub098 \uc601\ud5a5\uc744 \uc8fc\ub294\uc9c0\ub97c \uacc4\uc0b0\ud558\uace0,\n      \uadf8 \uc601\ud5a5\uc744 \ubaa8\ub450 \ud569\uc0b0\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"flow\">\n      Past Input\n      \u2192 System Response\n      \u2192 \ud604\uc7ac \uc2dc\uc810\uc5d0\uc11c\uc758 \uc601\ud5a5\n      \u2192 \ubaa8\ub4e0 \uc601\ud5a5 \ud569\uc0b0\n      \u2192 Output\n    <\/div>\n\n    <div class=\"formula\">\n      Input x(t)\n      *\n      Impulse Response h(t)\n      =\n      Output y(t)\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>5. \uc81c\uc5b4\uacf5\ud559\uc5d0\uc11c\uc758 \uc758\ubbf8<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      LTI System\uc758 \ub3d9\ud2b9\uc131\uc774\n      Impulse Response h(t)\ub85c \uc8fc\uc5b4\uc84c\ub2e4\uace0 \ud558\uc790.\n    <\/p>\n\n    <p>\n      \uadf8\ub807\ub2e4\uba74 \uc784\uc758\uc758 \uc785\ub825 x(t)\uc5d0 \ub300\ud55c \ucd9c\ub825\uc740\n      \uc0c8\ub85c\uc6b4 \ubbf8\ubd84\ubc29\uc815\uc2dd\uc744 \ucc98\uc74c\ubd80\ud130 \ub2e4\uc2dc \ud480\uc9c0 \uc54a\uace0\n      Convolution\uc73c\ub85c \uacc4\uc0b0\ud560 \uc218 \uc788\ub2e4.\n    <\/p>\n\n    <div class=\"flow\">\n      System \ud2b9\uc131\n      = h(t)\n    <\/div>\n\n    <div class=\"flow\">\n      Input\n      = x(t)\n    <\/div>\n\n    <div class=\"flow\">\n      Output\n      = x(t) * h(t)\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        \uc2dc\uc2a4\ud15c\uc758 Impulse Response\ub97c \uc54c\uba74\n        \uc784\uc758\uc758 \uc785\ub825\uc5d0 \ub300\ud55c Time Response\ub97c \uad6c\ud560 \uc218 \uc788\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>6. \ud575\uc2ec \uae30\uc5b5 \ubb38\uc7a5<\/h2>\n\n  <div class=\"memory\">\n\n    <ol>\n\n      <li>\n        <strong>\n          Convolution\uc740 LTI System\uc5d0\uc11c \uc0ac\uc6a9\ud55c\ub2e4.\n        <\/strong>\n      <\/li>\n\n      <li>\n        <strong>\n          \u03b4(t)\ub97c \uc785\ub825\ud588\uc744 \ub54c\uc758 \ucd9c\ub825\uc774\n          Impulse Response h(t)\uc774\ub2e4.\n        <\/strong>\n      <\/li>\n\n      <li>\n        <strong>\n          \uc784\uc758\uc758 \uc785\ub825 x(t)\ub294\n          \uc2dc\uac04\uc5d0 \ub530\ub77c \uc774\ub3d9\ud55c impulse\ub4e4\uc758 \ud569\uc73c\ub85c \ud45c\ud604\ud560 \uc218 \uc788\ub2e4.\n        <\/strong>\n      <\/li>\n\n      <li>\n        <strong>\n          Time Invariance \ub54c\ubb38\uc5d0\n          \u03b4(t-\u03c4)\uc758 \uc751\ub2f5\uc740 h(t-\u03c4)\uac00 \ub41c\ub2e4.\n        <\/strong>\n      <\/li>\n\n      <li>\n        <strong>\n          Linearity \ub54c\ubb38\uc5d0\n          x(\u03c4)\u03b4(t-\u03c4)\uc758 \uc751\ub2f5\uc740\n          x(\u03c4)h(t-\u03c4)\uac00 \ub41c\ub2e4.\n        <\/strong>\n      <\/li>\n\n      <li>\n        <strong>\n          Superposition\uc744 \uc774\uc6a9\ud558\uc5ec\n          \ubaa8\ub4e0 \u03c4 \uc2dc\uc810\uc758 \uc751\ub2f5\uc744 \ub354\ud558\uba74 \uc804\uccb4 \ucd9c\ub825\uc774 \ub41c\ub2e4.\n        <\/strong>\n      <\/li>\n\n      <li>\n        <strong>\n          \ub530\ub77c\uc11c\n          y(t) = x(t) * h(t)\uc774\ub2e4.\n        <\/strong>\n      <\/li>\n\n    <\/ol>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>7. \ucd5c\uc885 \uc554\uae30 \uad6c\uc870<\/h2>\n\n  <div class=\"flow\">\n\n    LTI System\n\n    <br>\u2193<br>\n\n    Impulse Input\n    <br>\n    \u03b4(t)\n\n    <br>\u2193<br>\n\n    Impulse Response\n    <br>\n    h(t)\n\n    <br>\u2193<br>\n\n    \uc784\uc758\uc758 \uc785\ub825 x(t)\ub97c\n    Impulse\ub85c \ubd84\ud574\n\n    <br>\u2193<br>\n\n    x(\u03c4)\u03b4(t-\u03c4)\n\n    <br>\u2193<br>\n\n    Time Shift\n    <br>\n    \u03b4(t-\u03c4) \u2192 h(t-\u03c4)\n\n    <br>\u2193<br>\n\n    Linearity\n    <br>\n    x(\u03c4)h(t-\u03c4)\n\n    <br>\u2193<br>\n\n    Superposition\n\n    <br>\u2193<br>\n\n    Convolution Integral\n\n    <br><br>\n\n    y(t)\n    =\n    \u222b x(\u03c4)h(t-\u03c4)d\u03c4\n\n  <\/div>\n\n\n  <div class=\"memory\">\n\n    <strong>\ud55c \ubb38\uc7a5 \uc815\ub9ac<\/strong>\n\n    <br><br>\n\n    LTI System\uc5d0\uc11c Impulse Response h(t)\ub97c \uc54c\uace0 \uc788\uc73c\uba74,\n    \uc784\uc758\uc758 \uc785\ub825 x(t)\ub97c \uc2dc\uac04 \uc774\ub3d9\ub41c impulse\ub4e4\uc758 \ud569\uc73c\ub85c \ubd84\ud574\ud558\uace0,\n    Time Invariance\uc5d0 \uc758\ud574 \uac01\uac01\uc758 \uc751\ub2f5 h(t-\u03c4)\ub97c \uad6c\ud55c \ub4a4,\n    Linearity\uc640 Superposition\uc744 \uc774\uc6a9\ud558\uc5ec \ubaa8\ub4e0 \uc751\ub2f5\uc744 \ud569\uc0b0\ud568\uc73c\ub85c\uc368\n    \ucd9c\ub825 y(t) = x(t) * h(t)\ub97c \uad6c\ud560 \uc218 \uc788\uc73c\uba70,\n    \uc774 \uc5f0\uc0b0\uc774 Convolution Integral\uc774\ub2e4.\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <div class=\"keywords\">\n    Convolution Integral, LTI System, Impulse, Impulse Response,\n    Superposition, Time Shift, Linearity, Time Invariance,\n    x(t), h(t), y(t)\n  <\/div>\n\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\uc65c convolution\uc774 \uc911\uc694\ud55c\uac00? impulse response, h(t)\ub97c \uc54c \uc218 \uc788\ub2e4\uba74, \uc785\ub825 \ud568\uc218 x(t)\uc640 h(t)\ub97c convolution\ud558\uba74 \ucd9c\ub825 y(t)\ub97c \uc54c \uc218 \uc788\ub2e4. \ub2e8 LTI \uc2dc\uc2a4\ud15c\uc5d0\uc11c\ub9cc \uc131\ub9bd\ud55c\ub2e4. superposition + time shift https:\/\/blog.naver.com\/PostView.naver?blogId=ycpiglet&amp;logNo=222556985523 https:\/\/en.wikipedia.org\/wiki\/Convolution Convolution Integral Impulse \u2192 Impulse Response \u2192 Time Shift \u2192 Superposition \u2192 Convolution \u2192 Output 1. Convolution Integral \uc804\uccb4 \ud750\ub984 LTI System\uc5d0\uc11c Impulse Response h(t)\ub97c \uc54c\uace0 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_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":[1185],"tags":[1188,1189],"class_list":["post-6010","post","type-post","status-publish","format-standard","hentry","category-1185","tag-convolution","tag-1189"],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/posts\/6010","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/comments?post=6010"}],"version-history":[{"count":5,"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/posts\/6010\/revisions"}],"predecessor-version":[{"id":9537,"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/posts\/6010\/revisions\/9537"}],"wp:attachment":[{"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/media?parent=6010"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/categories?post=6010"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/tags?post=6010"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}