{"id":7668,"date":"2024-12-02T07:45:27","date_gmt":"2024-12-01T22:45:27","guid":{"rendered":"https:\/\/now0930.pe.kr\/wordpress\/?p=7668"},"modified":"2026-10-04T10:55:59","modified_gmt":"2026-10-04T01:55:59","slug":"nyquist-shnanon-sampling-therem","status":"publish","type":"post","link":"https:\/\/now0930.pe.kr\/wordpress\/nyquist-shnanon-sampling-therem\/","title":{"rendered":"Nyquist-Shnanon Sampling Therem"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\ubb34\uc120\ud1b5\uc2e0\uac1c\ub860 2\ud310, 28 ~ 32p \uc815\ub9ac<\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2024\/12\/NeoStudio_20241201_233714_\uc0b0\uc5c5\uacc4\uce21\uc81c\uc5b4-\uae30\uc220\uc0ac13.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"NeoStudio_20241201_233714_\uc0b0\uc5c5\uacc4\uce21\uc81c\uc5b4 \uae30\uc220\uc0ac13\uc758 \uc0bd\uc785.\"><\/object><a id=\"wp-block-file--media-22e6f31d-1c03-4e2d-9949-655a57af7de1\" href=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2024\/12\/NeoStudio_20241201_233714_\uc0b0\uc5c5\uacc4\uce21\uc81c\uc5b4-\uae30\uc220\uc0ac13.pdf\">NeoStudio_20241201_233714_\uc0b0\uc5c5\uacc4\uce21\uc81c\uc5b4 \uae30\uc220\uc0ac13<\/a><a href=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2024\/12\/NeoStudio_20241201_233714_\uc0b0\uc5c5\uacc4\uce21\uc81c\uc5b4-\uae30\uc220\uc0ac13.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-22e6f31d-1c03-4e2d-9949-655a57af7de1\">\ub2e4\uc6b4\ub85c\ub4dc<\/a><\/div>\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=\"Shannon Nyquist Sampling Theorem\" width=\"580\" height=\"326\" src=\"https:\/\/www.youtube.com\/embed\/FcXZ28BX-xE?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<p class=\"wp-block-paragraph\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Nyquist%E2%80%93Shannon_sampling_theorem\">https:\/\/en.wikipedia.org\/wiki\/Nyquist%E2%80%93Shannon_sampling_theorem<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Discrete-time_Fourier_transform#Relation_to_Fourier_Transform\">https:\/\/en.wikipedia.org\/wiki\/Discrete-time_Fourier_transform#Relation_to_Fourier_Transform<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.ti.com\/video\/5527868103001#tab-1\">https:\/\/www.ti.com\/video\/5527868103001#tab-1<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/jaeseolee3754.tistory.com\/34\">https:\/\/jaeseolee3754.tistory.com\/34<\/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=\"\uc815\ubcf4\uc774\ub860\uacfc \ubd80\ud638\ud654 - 5\uc7a5 \uc0e4\ub17c\uc758 \uc81c 2\uc815\ub9ac\" width=\"580\" height=\"435\" src=\"https:\/\/www.youtube.com\/embed\/lgJ5KLLZvgc?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&#8220;`html\n<div class=\"chapter19-wide\">\n\n  <h1>Nyquist-Shannon Sampling Theorem<\/h1>\n\n  <div class=\"subtitle\">\n    Sampling \u00b7 Nyquist Rate \u00b7 Aliasing \u00b7 Frequency Spectrum \u00b7 Channel Capacity \u00b7 SNR\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>1. Nyquist-Shannon Sampling Theorem<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      NeoStudio\uc5d0\uc11c\ub294 \uc5f0\uc18d\uc2dc\uac04 Signal\uc744\n      \uc77c\uc815\ud55c \uc2dc\uac04 \uac04\uaca9\uc73c\ub85c Sampling\ud558\uc5ec\n      \uc774\uc0b0 \ub370\uc774\ud130\ub85c \ub9cc\ub4dc\ub294 \uacfc\uc815\uc5d0\uc11c \uc2dc\uc791\ud55c\ub2e4.\n    <\/p>\n\n    <pre>\n      Continuous Signal\n             \u2502\n             \u25bc\n         Sampling\n             \u2502\n             \u25bc\n      Discrete Samples\n    <\/pre>\n\n    <p>\n      Sampling Frequency\uac00 \ucda9\ubd84\ud788 \ub192\uc73c\uba74\n      \uc6d0 \uc2e0\ud638\ub97c \ubcf5\uc6d0\ud560 \uc218 \uc788\uc9c0\ub9cc,\n      \ucda9\ubd84\ud558\uc9c0 \uc54a\uc73c\uba74 Aliasing\uc774 \ubc1c\uc0dd\ud55c\ub2e4\uace0 \uae30\ub85d\ud55c\ub2e4.\n    <\/p>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>2. Sampling \uc8fc\uae30<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      Sample \uc0ac\uc774\uc758 \uc2dc\uac04\uac04\uaca9\uc744 T\ub85c \ub098\ud0c0\ub0b8\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      Sampling Period = T\n    <\/div>\n\n    <div class=\"formula\">\n      f_s = 1 \/ T\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        Sampling \uc8fc\uae30\uac00 \uc9e7\uc744\uc218\ub85d\n        Sampling Frequency\ub294 \ub192\uc544\uc9c4\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>3. \uc2dc\uac04\uc601\uc5ed Sampling<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \uc6d0\ubcf8 \uadf8\ub9bc\uc5d0\uc11c\ub294 \uc5f0\uc18d\uc2e0\ud638 x(t)\ub97c\n      \uc77c\uc815\ud55c \uc8fc\uae30 T\ub9c8\ub2e4 \ucd94\ucd9c\ud55c\ub2e4.\n    <\/p>\n\n    <pre>\n      x(t)\n\n       \/\\        \/\\        \/\\\n      \/  \\      \/  \\      \/  \\\n     \/    \\____\/    \\____\/    \\\n\n       \u2191         \u2191         \u2191\n       \u2502\u2190\u2500\u2500 T \u2500\u2500\u2192\u2502\u2190\u2500\u2500 T \u2500\u2500\u2192\u2502\n    <\/pre>\n\n    <p>\n      Sampling\ub41c \uc2e0\ud638\ub294\n      \uc6d0 \uc2e0\ud638\uc758 \uc77c\uc815 \uac04\uaca9 \uac12\ub9cc \ub0a8\uae34\ub2e4.\n    <\/p>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>4. Sampling\ub41c \uc2e0\ud638\uc758 \ubc18\ubcf5 \ud45c\ud604<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      NeoStudio\uc5d0\ub294 Sampling \uacfc\uc815\uacfc \ud568\uaed8\n      \ub2e4\uc74c \ud615\ud0dc\uc758 \ubc18\ubcf5 \ud45c\ud604\uc774 \uae30\ub85d\ub418\uc5b4 \uc788\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      \u03a3 x(t &#8211; nT)\n    <\/div>\n\n    <p>\n      \uc5ec\uae30\uc11c n\uc740 \uc815\uc218 \ubc94\uc704\uc5d0\uc11c \ubc18\ubcf5\ub418\ub294 \ud615\ud0dc\ub85c \ud45c\ud604\ub418\uc5b4 \uc788\ub2e4.\n    <\/p>\n\n    <div class=\"warning\">\n      <strong>\n        \ud574\ub2f9 \ud569 \ud45c\ud604\uc758 \uc815\ud655\ud55c \uc218\ud559\uc801 \uc815\uc758\ub294\n        \uc190\uae00\uc528\uc5d0\uc11c \uc644\uc804\ud788 \uc804\uac1c\ud558\uc9c0 \uc54a\uc558\uc73c\ubbc0\ub85c\n        \uc678\ubd80 Sampling \uc774\ub860\uc73c\ub85c \uc218\uc815\ud558\uc9c0 \uc54a\uc558\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>5. \uc8fc\ud30c\uc218\uc601\uc5ed\uc5d0\uc11c\uc758 Spectrum \ubcf5\uc81c<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      Sampling\ud558\uba74 \uc8fc\ud30c\uc218\uc601\uc5ed\uc5d0\uc11c\ub294\n      \uc6d0\ub798 Spectrum\uc774 \uc77c\uc815\ud55c \uac04\uaca9\uc73c\ub85c \ubc18\ubcf5\ub41c\ub2e4.\n    <\/p>\n\n    <pre>\n      Original Spectrum\n\n              \/\\\n             \/  \\\n      -------    --------------------\u2192 f\n             -B  B\n\n\n      Sampled Spectrum\n\n        \/\\          \/\\          \/\\\n       \/  \\        \/  \\        \/  \\\n      --------------------------------\u2192 f\n\n           \u2190\u2500\u2500\u2500\u2500 f_s = 1\/T \u2500\u2500\u2500\u2500\u2192\n    <\/pre>\n\n    <div class=\"formula\">\n      Spectrum Repetition Interval\n      =\n      1\/T\n      =\n      f_s\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>6. Bandwidth B<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \uc6d0\ubcf8\uc5d0\uc11c\ub294 \uc2e0\ud638 Spectrum\uc758 \ubc94\uc704\ub97c\n      Bandwidth B\uc640 \uc5f0\uacb0\ud558\uc5ec \uadf8\ub9b0\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      Signal Bandwidth = B\n    <\/div>\n\n    <p>\n      Sampling \ud6c4 \ubcf5\uc81c\ub41c Spectrum \uc0ac\uc774\uc758 \uac04\uaca9\uc740\n      Sampling Frequency f_s\uc774\ub2e4.\n    <\/p>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>7. Nyquist Sampling \uc870\uac74<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \uc6d0\ubcf8 \uadf8\ub9bc\uc740 Spectrum\uc774 \uc11c\ub85c \uacb9\uce58\uc9c0 \uc54a\ub3c4\ub85d\n      Sampling Frequency\ub97c \uc124\uc815\ud574\uc57c \ud55c\ub2e4\ub294 \ud750\ub984\uc744 \ubcf4\uc5ec\uc900\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      f_s \u2265 2B\n    <\/div>\n\n    <div class=\"formula\">\n      f_s = 1\/T\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        \ucd5c\ub300 \uc8fc\ud30c\uc218 B\uae4c\uc9c0 \ud3ec\ud568\ud55c \uc2e0\ud638\ub97c \ubcf5\uc6d0\ud558\ub824\uba74\n        Sampling Frequency\ub97c \ucd5c\uc18c 2B \uc774\uc0c1\uc73c\ub85c \uc120\ud0dd\ud55c\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>8. Nyquist Rate<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \uc6d0\ubcf8\uc5d0\uc11c\ub294 \ucd5c\uc18c Sampling Frequency\ub97c\n      Nyquist \uc870\uac74\uacfc \uc5f0\uacb0\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      Nyquist Rate = 2B\n    <\/div>\n\n    <p>\n      \uc989 \uc6d0 \uc2e0\ud638\uc758 \ucd5c\uace0\uc8fc\ud30c\uc218 \uc131\ubd84\ubcf4\ub2e4\n      2\ubc30 \uc774\uc0c1\uc758 \uc18d\ub3c4\ub85c Sampling\ud574\uc57c \ud55c\ub2e4.\n    <\/p>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>9. Aliasing<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      Sampling Frequency\uac00 \ubd80\uc871\ud558\uba74\n      \uc8fc\ud30c\uc218\uc601\uc5ed\uc758 Spectrum\uc774 \uc11c\ub85c \uacb9\uce5c\ub2e4.\n    <\/p>\n\n    <pre>\n      \uc815\uc0c1 Sampling\n\n        \/\\            \/\\\n       \/  \\          \/  \\\n      --------------------------\u2192 f\n          \uc11c\ub85c \ubd84\ub9ac\n\n\n      Undersampling\n\n          \/\\____\/\\\n         \/        \\\n      --------------------------\u2192 f\n          Spectrum \uacb9\uce68\n             \u2193\n          Aliasing\n    <\/pre>\n\n    <div class=\"formula\">\n      f_s &lt; 2B\n      \u2192\n      Spectrum Overlap\n      \u2192\n      Aliasing\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>10. Aliasing\uc758 \uacb0\uacfc<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      NeoStudio\uc5d0\uc11c\ub294 Aliasing\uc774 \ubc1c\uc0dd\ud558\uba74\n      \uc6d0 \uc2e0\ud638\ub97c \uc644\uc804\ud788 \ubcf5\uc6d0\ud560 \uc218 \uc5c6\ub2e4\uace0 \uae30\ub85d\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      Aliasing\n      \u2192\n      Original Signal \ubcf5\uc6d0 \ubd88\uac00\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        Sampling Frequency\uac00 \ub108\ubb34 \ub0ae\uc73c\uba74\n        \uc11c\ub85c \ub2e4\ub978 \uc8fc\ud30c\uc218 \uc131\ubd84\uc774 \uacb9\uccd0\n        \uc6d0\ub798 \uc2e0\ud638\ub97c \uad6c\ubd84\ud558\uae30 \uc5b4\ub824\uc6cc\uc9c4\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>11. Sampling Theorem \uc804\uccb4 \uad00\uacc4<\/h2>\n\n  <div class=\"card\">\n\n    <pre>\n          Continuous Signal\n                 \u2502\n                 \u25bc\n              Sampling\n                 \u2502\n                 \u25bc\n           Period T \uc120\ud0dd\n                 \u2502\n                 \u25bc\n            f_s = 1\/T\n                 \u2502\n         \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n         \u2502                \u2502\n         \u25bc                \u25bc\n      f_s \u2265 2B         f_s < 2B\n         \u2502                \u2502\n         \u25bc                \u25bc\n     Spectrum \ubd84\ub9ac     Spectrum \uc911\ucca9\n         \u2502                \u2502\n         \u25bc                \u25bc\n     \uc6d0 \uc2e0\ud638 \ubcf5\uc6d0       Aliasing\n                          \u2502\n                          \u25bc\n                    \uc815\ud655\ud55c \ubcf5\uc6d0 \ubd88\uac00\n    <\/pre>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>12. Nyquist \ucc44\ub110 \uc6a9\ub7c9<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      NeoStudio 2\ud398\uc774\uc9c0\ub294 Sampling Theorem \uc774\ud6c4\n      Nyquist\uc758 Channel Capacity \uad00\uacc4\ub97c \uae30\ub85d\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      C = Channel Capacity\n    <\/div>\n\n    <div class=\"formula\">\n      B = Bandwidth\n    <\/div>\n\n    <div class=\"formula\">\n      M = \uc804\uc555 Level\uc758 \uc218\n    <\/div>\n\n    <p>\n      \uc7a1\uc74c\uc774 \uc5c6\ub294 \ucc44\ub110\uc5d0\uc11c\n      M\uac1c\uc758 Signal Level\uc744 \uc0ac\uc6a9\ud558\ub294 \uad00\uacc4\ub97c\n      \ub2e4\uc74c \uc2dd\uc73c\ub85c \uae30\ub85d\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      C = 2B log\u2082 M\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        Nyquist \uad00\uacc4\uc5d0\uc11c\ub294\n        Bandwidth B\uc640 Signal Level \uc218 M\uc774\n        \ucd5c\ub300 \uc804\uc1a1\ub960\uacfc \uc5f0\uacb0\ub41c\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>13. M \uc99d\uac00\uc758 \uc758\ubbf8<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      NeoStudio\uc5d0\uc11c\ub294 M\uc774 \ucee4\uc9c0\uba74\n      \uc804\uc1a1 \uac00\ub2a5\ud55c \uc815\ubcf4\ub7c9\uc774 \uc99d\uac00\ud558\ub294 \ubc29\ud5a5\uc73c\ub85c \uae30\ub85d\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      M \u2191\n      \u2192\n      log\u2082M \u2191\n      \u2192\n      Channel Capacity \u2191\n    <\/div>\n\n    <p>\n      \ub2e4\ub9cc \uc2e4\uc81c \ucc44\ub110\uc5d0\uc11c\ub294 Noise \ub54c\ubb38\uc5d0\n      Signal Level\uc744 \ubb34\ud55c\ud788 \uc99d\uac00\uc2dc\ud0ac \uc218 \uc5c6\ub2e4\ub294 \ud750\ub984\uc73c\ub85c\n      Shannon \uc774\ub860\uc73c\ub85c \uc5f0\uacb0\ud55c\ub2e4.\n    <\/p>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>14. Shannon Channel Capacity<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      NeoStudio\uc5d0\uc11c\ub294 \uc2e4\uc81c \ucc44\ub110\uc5d0\ub294 Noise\uac00 \uc874\uc7ac\ud558\ubbc0\ub85c\n      Nyquist\uc758 \ubb34\uc7a1\uc74c \uad00\uacc4\ub9cc\uc73c\ub85c\ub294\n      \uc804\uc1a1\uc18d\ub3c4\ub97c \uacc4\uc18d \uc99d\uac00\uc2dc\ud0ac \uc218 \uc5c6\ub2e4\uace0 \uae30\ub85d\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      Real Channel\n      =\n      Signal + Noise\n    <\/div>\n\n    <p>\n      \uc774\uc5d0 \ub300\ud574 Shannon Channel Capacity\ub97c\n      \ub2e4\uc74c\uacfc \uac19\uc774 \uae30\ub85d\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      C\n      =\n      B log\u2082(1 + SNR)\n    <\/div>\n\n    <p>\n      \ub2e8\uc704\ub294 bps\ub85c \uae30\ub85d\ub418\uc5b4 \uc788\ub2e4.\n    <\/p>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>15. SNR<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      Signal\uacfc Noise\uc758 \ube44\ub97c\n      SNR\ub85c \ud45c\ud604\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      SNR\n      =\n      Signal Power \/ Noise Power\n    <\/div>\n\n    <p>\n      dB \ud45c\ud604\uc740 \ub2e4\uc74c\uacfc \uac19\uc774 \uae30\ub85d\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      SNR(dB)\n      =\n      10 log\u2081\u2080\n      (\n      Signal Power \/ Noise Power\n      )\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>16. Noise\uc640 Channel Capacity<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      NeoStudio\uc758 \ud750\ub984\uc740\n      \uc2e4\uc81c \ucc44\ub110\uc5d0\uc11c\ub294 Noise\ub97c \ubb34\uc2dc\ud560 \uc218 \uc5c6\uc73c\ubbc0\ub85c\n      \ucd5c\ub300 \uc804\uc1a1\ub960\uc5d0 \ud55c\uacc4\uac00 \uc788\ub2e4\ub294 \uac83\uc774\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      Noise \u2191\n      \u2192\n      SNR \u2193\n      \u2192\n      Channel Capacity \uc81c\ud55c\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        Shannon \uc2dd\uc740\n        Bandwidth\uc640 SNR\uc744 \uc774\uc6a9\ud558\uc5ec\n        Noise\uac00 \uc874\uc7ac\ud558\ub294 \ucc44\ub110\uc758 \ucd5c\ub300 \uc804\uc1a1\ub960\uc744 \ub098\ud0c0\ub0b8\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>17. Nyquist\uc640 Shannon \uad00\uacc4<\/h2>\n\n  <div class=\"table-wrap\">\n\n    <table>\n\n      <thead>\n        <tr>\n          <th>\uad6c\ubd84<\/th>\n          <th>NeoStudio \ub0b4\uc6a9<\/th>\n        <\/tr>\n      <\/thead>\n\n      <tbody>\n\n        <tr>\n          <td><strong>Nyquist Sampling<\/strong><\/td>\n          <td>f_s \u2265 2B, Aliasing \uc5c6\uc774 Signal \ubcf5\uc6d0<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Nyquist Channel<\/strong><\/td>\n          <td>\uc7a1\uc74c\uc774 \uc5c6\ub294 \ucc44\ub110, C = 2B log\u2082M<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Shannon Channel<\/strong><\/td>\n          <td>Noise\uac00 \uc788\ub294 \ucc44\ub110, C = B log\u2082(1+SNR)<\/td>\n        <\/tr>\n\n      <\/tbody>\n\n    <\/table>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>18. \uc804\uccb4 \ud750\ub984<\/h2>\n\n  <div class=\"card\">\n\n    <pre>\n                 Signal\n                   \u2502\n                   \u25bc\n                Sampling\n                   \u2502\n                   \u25bc\n             f_s = 1\/T\n                   \u2502\n                   \u25bc\n              f_s \u2265 2B\n                   \u2502\n                   \u25bc\n            Aliasing \ubc29\uc9c0\n                   \u2502\n                   \u25bc\n             Signal \ubcf5\uc6d0\n\n\n         Communication Channel\n                   \u2502\n          \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n          \u2502                 \u2502\n          \u25bc                 \u25bc\n      Noise \uc5c6\uc74c          Noise \uc788\uc74c\n          \u2502                 \u2502\n          \u25bc                 \u25bc\n       Nyquist           Shannon\n          \u2502                 \u2502\n          \u25bc                 \u25bc\n   C=2B log\u2082M       C=B log\u2082(1+SNR)\n    <\/pre>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>19. NeoStudio PDF \ud575\uc2ec \uc815\ub9ac<\/h2>\n\n  <div class=\"table-wrap\">\n\n    <table>\n\n      <thead>\n        <tr>\n          <th>\ud56d\ubaa9<\/th>\n          <th>\uc6d0\ubcf8 \ub0b4\uc6a9<\/th>\n        <\/tr>\n      <\/thead>\n\n      <tbody>\n\n        <tr>\n          <td><strong>Sampling Period<\/strong><\/td>\n          <td>T<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Sampling Frequency<\/strong><\/td>\n          <td>f_s = 1\/T<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Signal Bandwidth<\/strong><\/td>\n          <td>B<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Nyquist Sampling \uc870\uac74<\/strong><\/td>\n          <td>f_s \u2265 2B<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Undersampling<\/strong><\/td>\n          <td>Aliasing \ubc1c\uc0dd<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Aliasing<\/strong><\/td>\n          <td>Spectrum \uc911\ucca9 \u2192 \uc6d0 \uc2e0\ud638 \ubcf5\uc6d0 \ubd88\uac00<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Nyquist Channel Capacity<\/strong><\/td>\n          <td>C = 2B log\u2082M<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Shannon Capacity<\/strong><\/td>\n          <td>C = B log\u2082(1+SNR)<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>SNR<\/strong><\/td>\n          <td>Signal Power \/ Noise Power<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>SNR(dB)<\/strong><\/td>\n          <td>10 log\u2081\u2080(Signal Power \/ Noise Power)<\/td>\n        <\/tr>\n\n      <\/tbody>\n\n    <\/table>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <div class=\"warning\">\n    <strong>\n      \uc774 HTML\uc740 \ud398\uc774\uc9c0 \ubcf8\ubb38\uacfc\n      YouTube, Wikipedia, TI, Tistory \ub4f1\uc758 \uc678\ubd80 \ub9c1\ud06c\ub97c \uc0ac\uc6a9\ud558\uc9c0 \uc54a\uace0,\n      NeoStudio PDF 1\uac1c(\ucd1d 2\ud398\uc774\uc9c0)\ub9cc\n      \ud398\uc774\uc9c0\ubcc4 \uc2dc\uac01 \ud310\ub3c5\ud558\uc5ec \uc791\uc131\ud588\ub2e4.\n\n      \uc774 \ud398\uc774\uc9c0\uc5d0\ub294 \ubcc4\ub3c4\uc758 \uc77c\ubc18 \uc774\ubbf8\uc9c0\uac00 \uc5c6\ub2e4.\n\n      1\ud398\uc774\uc9c0\ub294\n      Sampling Period T,\n      f_s = 1\/T,\n      Spectrum \ubc18\ubcf5,\n      Nyquist Sampling \uc870\uac74,\n      Aliasing\uc744 \uadf8\ub9bc\uc73c\ub85c \uc124\uba85\ud55c\ub2e4.\n\n      2\ud398\uc774\uc9c0\ub294\n      Nyquist\uc758 \ubb34\uc7a1\uc74c Channel Capacity\uc640\n      Shannon\uc758 Noise Channel Capacity\ub97c \uc815\ub9ac\ud55c\ub2e4.\n\n      \uc77c\ubd80 \ubc18\ubcf5\uc2e0\ud638 \ud569 \ud45c\ud604\uacfc\n      Spectrum \uadf8\ub9bc\uc758 \uc138\ubd80 \ud45c\uae30\ub294 \uc190\uae00\uc528\uac00 \ubd88\uba85\ud655\ud558\uc5ec\n      \uc678\ubd80 Sampling Theory\ub85c \uc784\uc758 \ubcf4\uc644\ud558\uc9c0 \uc54a\uc558\ub2e4.\n\n      Reconstruction Filter,\n      Anti-Aliasing Filter,\n      Oversampling,\n      Quantization \ub4f1\uc758 \ub0b4\uc6a9\uc740\n      NeoStudio\uc5d0 \uc9c1\uc811 \uc124\uba85\ub418\uc5b4 \uc788\uc9c0 \uc54a\uc544 \ucd94\uac00\ud558\uc9c0 \uc54a\uc558\ub2e4.\n    <\/strong>\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <div class=\"keywords\">\n    Nyquist-Shannon Sampling Theorem,\n    Sampling Theorem,\n    Nyquist Rate,\n    Sampling Frequency,\n    Sampling Period,\n    Bandwidth,\n    Aliasing,\n    Undersampling,\n    Spectrum,\n    Channel Capacity,\n    Nyquist Channel Capacity,\n    Shannon Capacity,\n    SNR,\n    Signal Power,\n    Noise Power\n  <\/div>\n\n<\/div>\n```\n","protected":false},"excerpt":{"rendered":"<p>\ubb34\uc120\ud1b5\uc2e0\uac1c\ub860 2\ud310, 28 ~ 32p \uc815\ub9ac https:\/\/en.wikipedia.org\/wiki\/Nyquist%E2%80%93Shannon_sampling_theorem https:\/\/en.wikipedia.org\/wiki\/Discrete-time_Fourier_transform#Relation_to_Fourier_Transform https:\/\/www.ti.com\/video\/5527868103001#tab-1 https:\/\/jaeseolee3754.tistory.com\/34 &#8220;`html Nyquist-Shannon Sampling Theorem Sampling \u00b7 Nyquist Rate \u00b7 Aliasing \u00b7 Frequency Spectrum \u00b7 Channel Capacity \u00b7 SNR 1. Nyquist-Shannon Sampling Theorem NeoStudio\uc5d0\uc11c\ub294 \uc5f0\uc18d\uc2dc\uac04 Signal\uc744 \uc77c\uc815\ud55c \uc2dc\uac04 \uac04\uaca9\uc73c\ub85c Sampling\ud558\uc5ec \uc774\uc0b0 \ub370\uc774\ud130\ub85c \ub9cc\ub4dc\ub294 \uacfc\uc815\uc5d0\uc11c \uc2dc\uc791\ud55c\ub2e4. Continuous Signal \u2502 \u25bc Sampling \u2502 \u25bc Discrete Samples Sampling Frequency\uac00 [&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":[1636,1635,1637],"class_list":["post-7668","post","type-post","status-publish","format-standard","hentry","category-1185","tag-aliasing","tag-sampling-theorem","tag-undersampling"],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/posts\/7668","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=7668"}],"version-history":[{"count":6,"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/posts\/7668\/revisions"}],"predecessor-version":[{"id":9663,"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/posts\/7668\/revisions\/9663"}],"wp:attachment":[{"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/media?parent=7668"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/categories?post=7668"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/tags?post=7668"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}