{"id":62867,"date":"2022-12-27T16:31:55","date_gmt":"2022-12-27T08:31:55","guid":{"rendered":"https:\/\/ocw.nycu.edu.tw\/?post_type=course_page&#038;p=62867"},"modified":"2024-11-18T14:42:09","modified_gmt":"2024-11-18T06:42:09","slug":"stochastic-processes-105-academic-year-college-of-electrical-and-computer-engineering-prof-po-ning-chen","status":"publish","type":"course_page","link":"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-electrical-and-computer-engineering\/stochastic-processes-105-academic-year-college-of-electrical-and-computer-engineering-prof-po-ning-chen","title":{"rendered":"Stochastic Processes &#8211; 105 Academic Year | College of Electrical and Computer Engineering Prof. Po-Ning Chen"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"62867\" class=\"elementor elementor-62867\">\n\t\t\t\t\t\t\t\t\t<section class=\"penci-section penci-disSticky penci-structure-10 elementor-section elementor-top-section 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class=\"penci-ibox-content-wrap\">\r\n\t\t\t\t\t\t\t\t\t\t<h3 class=\"penci-ibox-title\">Stochastic Processes - 105 Academic Year<\/h3>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c6381f4 elementor-widget elementor-widget-eael-adv-tabs\" data-id=\"c6381f4\" data-element_type=\"widget\" data-widget_type=\"eael-adv-tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t        <div id=\"eael-advance-tabs-c6381f4\" class=\"eael-advance-tabs eael-tabs-horizontal eael-tab-auto-active\" data-tabid=\"c6381f4\">\n            <div class=\"eael-tabs-nav\">\n                <ul class=\"eael-tab-inline-icon\">\n                                            <li id=\"home\" class=\"active-default eael-tab-item-trigger\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"home-tab\" aria-expanded=\"false\">\n                     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                        <span class=\"eael-tab-title  title-after-icon\">Course Handout<\/span>                            \n                                                    <\/li>\n                                    <\/ul>\n            <\/div>\n            \n            <div class=\"eael-tabs-content\">\n\t\t        \n                    <div id=\"home-tab\" class=\"clearfix eael-tab-content-item active-default\" data-title-link=\"home-tab\">\n\t\t\t\t        \t\t\t\t\t        <p><style type=\"text\/css\">\n.\u3002 {<br \/>\tfont-size: 18px;<br \/>}<br \/>.\u3002 {<br \/>\tfont-size: 18px;<br \/>}<br \/>.\u3002 {<br \/>\tfont-size: 18px;<br \/>}<br \/><\/style><\/p><p style=\"margin-bottom: 10px; line-height: 28px; color: #101010; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4, Arial; font-size: 16px;\">\u672c\u8ab2\u7a0b\u662f\u7531\u00a0<a href=\"https:\/\/ece.nycu.edu.tw\/\" target=\"_blank\" rel=\"noopener\">\u570b\u7acb\u967d\u660e\u4ea4\u901a\u5927\u5b78\u96fb\u6a5f\u5de5\u7a0b\u5b78\u7cfb <\/a>\u63d0\u4f9b\u3002<\/p><p class=\"text\">This course intends to provide students with the necessary (fundamental and advanced) background on random processes.<br \/><br \/><\/p><p><span style=\"color: #3366ff; font-size: 16px;\">Textbook\uff1a<\/span><span style=\"font-size: 16px;\">Athanasios Papoulis &amp; S. Unnikrishna Pillai, Probability, Random Variables and Stochastic Processes. Fourth edition, Mc Graw Hill, 2002.<br \/><\/span><\/p><p style=\"color: #ff00ff; font-size: 14px;\">For perfect learning results, please buy textbooks!<br \/><br \/><\/p><table style=\"color: #101010; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4, Arial; font-size: 16px;\" border=\"1\"><tbody><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\" width=\"100\">Instructor(s)<\/th><td bgcolor=\"#EEEEEE\" width=\"518\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0College of Electrical and Computer Engineering Prof. Po-Ning Chen <\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">Course Credits<\/th><td class=\"text\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a03\u00a0Credits<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td><\/tr><tr><th class=\"text\" style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">Academic Year<\/th><td class=\"text\" bgcolor=\"#EEEEEE\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0105 Academic Year<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">Level<\/th><td class=\"text\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0Graduate Student<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">Prior Knowledge<\/th><td class=\"text\" bgcolor=\"#EEEEEE\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0None<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">Related Resources<\/th><td class=\"text\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0<a href=\"#video\">Course Video<\/a>\u00a0 \u00a0<a href=\"#syllabus\">Course Syllabus<\/a>\u00a0 \u00a0<a href=\"#calendar\">Course Calendar<\/a> \u00a0<a href=\"#handout\">Course Handout<\/a>\u00a0\u00a0<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td><\/tr><\/tbody><\/table>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"video-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"video-tab\">\n\t\t\t\t        \t\t\t\t\t        <p>\n<table id=\"tablepress-229\" class=\"tablepress tablepress-id-229\">\n<thead>\n<tr class=\"row-1 odd\">\n\t<th class=\"column-1\">Week<\/th><th class=\"column-2\">Course Content<\/th><th class=\"column-3\">Course Video<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-hover\">\n<tr class=\"row-2 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u96a8\u6a5f\u904e\u7a0b\u8ab2\u7a0b\u4ecb\u7d39<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=62880\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-3 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Chapter 9 General Concepts<br \/>\n9-1 Definitions (1\/7)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69571\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-4 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">9-1 Definitions (2\/7)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69577\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-5 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">9-1 Definitions (3\/7)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69583\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-6 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">9-1 Definitions (4\/7)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69589\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-7 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">9-1 Definitions (5\/7)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69595\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-8 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">9-1 Definitions (6\/7)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69601\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-9 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">9-1 Definitions (7\/7)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69607\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-10 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">9-2 Systems with Stochastic Inputs (1\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69613\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-11 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">9-2 Systems with Stochastic Inputs (2\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69619\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-12 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">9-2 Systems with Stochastic Inputs (3\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69625\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-13 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">9-3 The Power Spectrum (1\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69639\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-14 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">9-3 The Power Spectrum (2\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69645\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-15 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">9-3 The Power Spectrum (3\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69651\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-16 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">9-4 Discrete-Time Processes<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69657\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-17 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Chapter 10 Random Walks and Other Applications<br \/>\n10-3 Modulation (1\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69663\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-18 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">10-3 Modulation (2\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69669\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-19 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">10-3 Modulation (3\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69675\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-20 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">10-4 Cyclostationary Processes<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69681\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-21 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">10-5 Bandlimited Processes and Sampling Theory<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69687\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-22 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">10-6 Deterministic Signals in Noise<br \/>\nAppendix 10A The Poisson Sum Formula<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69693\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-23 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Chapter 11 Spectral Representation<br \/>\n11-1 Factorization and Innovations<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69699\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-24 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">11-2 Finite-Order Systems and State Variables (1\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69705\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-25 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">11-2 Finite-Order Systems and State Variables (2\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69711\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-26 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">11-2 Finite-Order Systems and State Variables (3\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69717\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-27 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">11-3 Fourier Series and Karhunen-Lo`eve Expansions (1\/2)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69723\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-28 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">11-3 Fourier Series and Karhunen-Lo`eve Expansions (2\/2)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69729\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-29 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">11-4 Spectral Representation of Random Processes (1\/2)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69735\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-30 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">11-4 Spectral Representation of Random Processes (2\/2)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69741\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-31 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Chapter 12 Spectrum Estimation<br \/>\nErgodicity based on Shift-invariant Event<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69747\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-32 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">12-1 Ergodicity (1\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69753\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-33 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">12-1 Ergodicity (2\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69759\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-34 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">12-1 Ergodicity (3\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69765\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-35 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">12-2 Spectrum Estimation (1\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69771\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-36 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">12-2 Spectrum Estimation (2\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69777\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-37 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">12-2 Spectrum Estimation (3\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69783\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-38 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Chapter 13 Mean Square Estimation<br \/>\n13-1 Introduction (1\/2)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69789\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-39 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">13-1 Introduction (2\/2)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69795\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-40 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">13-2 Prediction (1\/2)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69801\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-41 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">13-2 Prediction (2\/2)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=69807\">Watch Online<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-229 from cache -->\u00a0<\/p>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"syllabus-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"syllabus-tab\">\n\t\t\t\t        \t\t\t\t\t        <p class=\"title\"><strong>\u8ab2\u7a0b\u76ee\u6a19<\/strong><\/p><p class=\"text\">The course aims to provide the fundamentals of discrete time signal processing.<\/p><p>\u00a0<\/p><p class=\"title\"><strong>\u8ab2\u7a0b\u7ae0\u7bc0<\/strong><\/p><table border=\"1\" cellspacing=\"0\"><tbody><tr class=\"stitle\"><td bgcolor=\"#e4d8b0\"><strong> \u7ae0\u7bc0<\/strong><\/td><td bgcolor=\"#e4d8b0\"><strong> \u7ae0\u7bc0\u5167\u5bb9<\/strong><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">Chapter 9: General Concepts<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">9-1 Definitions 9-2 Systems with Stochastic Inputs 9-3 The Power Spectrum 9-4 Discrete-Time Processes<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">Chapter 10: Random Walks and Other Applications<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">10-3 Modulation 10-4 Cyclostationary Processes 10-5 Bandlimited Processes and Sampling Theory 10-6 Deterministic Signals in Noise Appendix 10A The Poisson Sum Formula<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">Chapter 11: Spectral Representation<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\"> 11-1 Factorization and Innovations 11-2 Finite-Order Systems and State Variables 11-3 Fourier Series and Karhunen-Lo\u00b4eve Expansions 11-4 Spectral Representation of Random Processes<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">Chapter 12: Spectrum Estimation<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">12-1 Ergodicity 12-2 Spectrum Estimation<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\">Chapter 13: Mean Square Estimation<\/td><td style=\"padding: 5px;\"><span class=\"text\">13-1 Introduction 13-2 Prediction (Partially, 12-3 Lattice Filters and Levinson\u2019s Algorithm)<\/span><\/td><\/tr><\/tbody><\/table><p class=\"title\"><strong><br \/>\u8ab2\u7a0b\u66f8\u76ee<\/strong><\/p><p class=\"text\">Athanasios Papoulis &amp; S. Unnikrishna Pillai, Probability, Random Variables and Stochastic Processes. Fourth edition, Mc Graw Hill, 2002.<\/p><p>\u00a0<\/p><p class=\"title\"><strong>\u8a55\u5206\u6a19\u6e96<\/strong><\/p><table border=\"1\" cellspacing=\"0\"><tbody><tr class=\"stitle\"><td bgcolor=\"#e4d8b0\"><strong>\u9805\u76ee<\/strong><\/td><td bgcolor=\"#e4d8b0\"><strong>\u767e\u5206\u6bd4<\/strong><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">three quizzes<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">25%<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">two midterm exam<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">50%<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">final exam<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">25%<\/span><\/td><\/tr><\/tbody><\/table>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"calendar-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"calendar-tab\">\n\t\t\t\t        \t\t\t\t\t        <p><span style=\"font-family: \u65b0\u7d30\u660e\u9ad4; font-size: 15px;\">\u672c\u8ab2\u7a0b\u884c\u4e8b\u66c6\u63d0\u4f9b\u8ab2\u7a0b\u9032\u5ea6\u8207\u8003\u8a66\u8cc7\u8a0a\u53c3\u8003\u3002<\/span><\/p><table style=\"font-style: normal; line-height: 20px; font-size: 15px; text-align: center;\" border=\"1\" cellspacing=\"0\"><tbody><tr><td bgcolor=\"#e4d8b0\" width=\"76\"><div style=\"text-align: center;\"><span style=\"color: #000000; font-weight: bold;\"><strong>\u5b78\u671f\u9031\u6b21<\/strong><\/span><\/div><\/td><td bgcolor=\"#e4d8b0\" width=\"440\"><div style=\"text-align: center; font-size: 15px; font-weight: bold;\"><strong>\u53c3\u8003\u8ab2\u7a0b\u9032\u5ea6<\/strong><\/div><\/td><\/tr><tr><td style=\"text-align: center;\"><p><span class=\"text\">\u7b2c\u4e00\u9031 <br \/>\u7b2c\u4e8c\u9031 <br \/>\u7b2c\u4e09\u9031<\/span><\/p><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>Chapter 9: General Concepts<br \/>9-1 Definitions<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u56db\u9031<\/span><\/td><td style=\"text-align: left; padding: 5px;\" bgcolor=\"#f2f2ec\"><ul><li>9-2 Systems with Stochastic Inputs<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\"><span class=\"text\">\u7b2c\u4e94\u9031<\/span><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>9-2 Systems with Stochastic Inputs <br \/>9-3 The Power Spectrum<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u516d\u9031<\/span><\/td><td style=\"text-align: left; padding: 5px;\" bgcolor=\"#f2f2ec\"><ul><li>9-3 The Power Spectrum <br \/>9-4 Discrete-Time Processes<p>Chapter 10: Random Walks and Other Applications <br \/>10-3 Modulation<\/p><\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\"><span class=\"text\">\u7b2c\u4e03\u9031<\/span><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>10-3 Modulation <br \/>10-4 Cyclostationary Processes<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u516b\u9031<\/span><\/td><td style=\"text-align: left; padding: 5px;\" bgcolor=\"#f2f2ec\"><ul><li>10-5 Bandlimited Processes and Sampling Theory<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\"><span class=\"text\">\u7b2c\u4e5d\u9031<\/span><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>\u7b2c\u4e00\u6b21\u671f\u4e2d\u8003<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u5341\u9031<\/span><\/td><td style=\"text-align: left; padding: 5px;\" bgcolor=\"#F2F2EC\"><ul><li>10-5 Bandlimited Processes and Sampling Theory\u3000<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\"><span class=\"text\">\u7b2c\u5341\u4e00\u9031<\/span><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>10-6 Deterministic Signals in Noise <br \/>Appendix 10A The Poisson Sum Formula<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u5341\u4e8c\u9031<\/span><\/td><td style=\"text-align: left; padding: 5px;\" bgcolor=\"#f2f2ec\"><ul><li>Chapter 11: Spectral Representation <br \/>11-1 Factorization and Innovations<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\"><span class=\"text\">\u7b2c\u5341\u4e09\u9031<\/span><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>11-2 Finite-Order Systems and State Variables <br \/>11-3 Fourier Series and Karhunen-Lo\u00b4eve Expansions<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u5341\u56db\u9031<\/span><\/td><td style=\"text-align: left; padding: 5px;\" bgcolor=\"#f2f2ec\"><ul><li>\u7b2c\u4e8c\u6b21\u671f\u4e2d\u8003<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\"><span class=\"text\">\u7b2c\u5341\u4e94\u9031<\/span><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>11-3 Fourier Series and Karhunen-Lo\u00b4eve Expansions<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u5341\u516d\u9031<\/span><\/td><td style=\"text-align: left; padding: 5px;\" bgcolor=\"#f2f2ec\"><ul><li>11-4 Spectral Representation of Random Processes<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\"><span class=\"text\">\u7b2c\u5341\u4e03\u9031<\/span><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>Chapter 12: Spectrum Estimation <br \/>12-1 Ergodicity <br \/>12-2 Spectrum Estimation<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u5341\u516b\u9031<\/span><\/td><td style=\"text-align: left; padding: 5px;\" bgcolor=\"#f2f2ec\"><ul><li>\u671f\u672b\u8003<\/li><\/ul><\/td><\/tr><\/tbody><\/table>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"handout-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"handout-tab\">\n\t\t\t\t        \t\t\t\t\t        <p><strong class=\"title\">\u8ab2\u7a0b\u8b1b\u7fa9 Handout<\/strong><\/p><table style=\"border-collapse; line-height: 17px; font-size: 15px;\" border=\"1\"><tbody><tr><td bgcolor=\"#e4d8b0\" width=\"280\"><div class=\"stitle\" style=\"text-align: center;\" align=\"center\"><span style=\"font-family: 'Times New Roman';\"><strong>\u53c3\u8003\u6388\u8ab2\u9032\u5ea6<\/strong><\/span><\/div><\/td><td bgcolor=\"#e4d8b0\" width=\"150\"><div class=\"stitle\" style=\"text-align: center;\" align=\"center\"><span style=\"font-family: 'Times New Roman';\"><strong>\u4e0b\u8f09\u9023\u63a5<\/strong><\/span><\/div><\/td><\/tr><tr style=\"height: 0px;\"><td style=\"text-align: left; padding: 5px;\">Chapter 9 General Concepts<\/td><td style=\"width: 30%; height: 0px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/spr052\/Handout\/random9s16.pdf\">PDF<\/a><\/td><\/tr><tr style=\"height: 0px;\" bgcolor=\"#f2f2ec\"><td style=\"text-align: left; padding: 5px;\">Chapter 10 Random Walks and Other Applications<\/td><td style=\"width: 30%; height: 0px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/spr052\/Handout\/random10s16.pdf\">PDF<\/a><\/td><\/tr><tr style=\"height: 21px;\"><td style=\"text-align: left; padding: 5px;\">Chapter 11 Spectral Representation<\/td><td style=\"width: 30%; height: 21px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/spr052\/Handout\/random11s16.pdf\">PDF<\/a><\/td><\/tr><tr style=\"height: 21px;\" bgcolor=\"#f2f2ec\"><td style=\"text-align: left; padding: 5px;\">Chapter 12 Spectrum Estimation<\/td><td style=\"width: 30%; height: 21px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/spr052\/Handout\/random12s16.pdf\">PDF<\/a><\/td><\/tr><tr style=\"height: 21px;\"><td style=\"text-align: left; padding: 5px;\">Chapter 13 Mean Square Estimation<\/td><td style=\"width: 30%; height: 21px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/spr052\/Handout\/random13s16.pdf\">PDF<\/a><\/td><\/tr><\/tbody><\/table>\t\t\t\t                            <\/div>\n\t\t                    <\/div>\n        <\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d7723a8 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"d7723a8\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.13.3 - 28-05-2023 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class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-123746\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/speech-of-general-education-center\" class=\"elementor-item\">Contemporary Civilization<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-128240\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/reading-of-classic-masterpiece\" class=\"elementor-item\">Reading of Classic Masterpiece<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-123745\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/course-of-general-education-center-2\" class=\"elementor-item\">Course of General Education Center<\/a><\/li>\n<\/ul>\t\t\t<\/nav>\n\t\t\t\t\t<div class=\"elementor-menu-toggle\" role=\"button\" tabindex=\"0\" aria-label=\"\u9078\u55ae\u5207\u63db\" 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tabindex=\"-1\">College of Humanities Arts and Social Sciences<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-5378\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-hakka-affair-culture\" class=\"elementor-item\" tabindex=\"-1\">College of Hakka Affair Culture<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-118070\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/school-of-law\" class=\"elementor-item\" tabindex=\"-1\">School of Law<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-118069\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/school-of-nursing-2\" class=\"elementor-item\" tabindex=\"-1\">School of Nursing<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-118071\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-photonics\" class=\"elementor-item\" tabindex=\"-1\">College of Photonics<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-125874\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-biomedical-science-and-engineering\" class=\"elementor-item\" tabindex=\"-1\">College of Biomedical Science and Engineering<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-132738\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-life-sciences-en\" class=\"elementor-item\" tabindex=\"-1\">College of Life Sciences<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-141797\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/colege-of-medicine-en\" class=\"elementor-item\" tabindex=\"-1\">College of Medicine<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-118072\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/course-of-chinese-center\" class=\"elementor-item\" tabindex=\"-1\">Course of Chinese Center<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-120431\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/liberal-arts-college\" class=\"elementor-item\" tabindex=\"-1\">Forum Of Liberal Arts<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-123746\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/speech-of-general-education-center\" class=\"elementor-item\" tabindex=\"-1\">Contemporary Civilization<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-128240\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/reading-of-classic-masterpiece\" class=\"elementor-item\" tabindex=\"-1\">Reading of Classic Masterpiece<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-123745\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/course-of-general-education-center-2\" class=\"elementor-item\" tabindex=\"-1\">Course of General Education Center<\/a><\/li>\n<\/ul>\t\t\t<\/nav>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Stochastic Pro&hellip;<\/p>\n","protected":false},"featured_media":62857,"parent":5301,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","format":"standard","meta":{"footnotes":""},"categories":[4283],"tags":[341,4501],"class_list":["post-62867","course_page","type-course_page","status-publish","format-standard","has-post-thumbnail","hentry","category-stochastic-processes-105-en","tag-label-all-course-en","tag-label-college-of-electrical-and-computer-engineering-en"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Stochastic Processes - 105 Academic Year | College of Electrical and Computer Engineering Prof. Po-Ning Chen - NYCU OCW<\/title>\n<meta name=\"description\" content=\"Stochastic Processes - 105 Academic Year Course Homepage Course Video Course Syllabus Course Calendar Course Handout 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