{"id":19427,"date":"2020-09-13T07:49:58","date_gmt":"2020-09-13T07:49:58","guid":{"rendered":"https:\/\/www.inspirenignite.com\/mh\/btexpe506a-probability-theory-and-random-processes-syllabus-for-et-5th-sem-2019-20-dbatu-elective-i\/"},"modified":"2020-09-13T07:49:58","modified_gmt":"2020-09-13T07:49:58","slug":"btexpe506a-probability-theory-and-random-processes-syllabus-for-et-5th-sem-2019-20-dbatu-elective-i","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/mh\/btexpe506a-probability-theory-and-random-processes-syllabus-for-et-5th-sem-2019-20-dbatu-elective-i\/","title":{"rendered":"BTEXPE506A: Probability Theory and Random Processes Syllabus for ET 5th Sem 2019-20 DBATU (Elective-I)"},"content":{"rendered":"

Probability Theory and Random Processes detailed syllabus scheme for Electronics & Telecommunication Engineering (ET), 2019-20 onwards has been taken from the DBATU<\/a> official website and presented for the Bachelor of Technology students. For Subject Code, Course Title, Lecutres, Tutorials, Practice, Credits, and other information, do visit full semester subjects post given below. <\/p>\n

For 5th Sem Scheme of Electronics & Telecommunication Engineering (ET), 2019-20 Onwards, do visit ET 5th Sem Scheme, 2019-20 Onwards<\/a>. For the Elective-I scheme of 5th Sem 2019-20 onwards, refer to ET 5th Sem Elective-I Scheme 2019-20 Onwards<\/a>. The detail syllabus for probability theory and random processes is as follows.<\/p>\n

Probability Theory and Random Processes Syllabus for Electronics & Telecommunication Engineering (ET) 3rd Year 5th Sem 2019-20 DBATU<\/h2>\n

Probability Theory and Random Processes<\/title><\/p>\n<h4>Course Objectives:<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdf platform to make students’s lives easier.<\/b><br \/><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px\"><\/a>. <\/p>\n<h4>Course Outcomes:<\/h4>\n<p> At the end of this course students will demonstrate the ability to<\/p>\n<ol>\n<li>Understand representation of random signals<\/li>\n<li>Investigate characteristics of random processes<\/li>\n<li>Make use of theorems related to random signals<\/li>\n<li>To understand propagation of random signals in LTI systems.<\/li>\n<\/ol>\n<h4>UNIT – 1<\/h4>\n<p> Introduction to Probability Definitions, scope and history; limitation of classical and relative- frequency- based definitions, Sets, fields, sample space and events; axiomatic definition of probability, Combinatorics: Probability on finite sample spaces, Joint and conditional probabilities, independence, total probability; Bayes’ rule and applications.<\/p>\n<h4>UNIT – 2<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdf platform to make students’s lives easier.<\/b><br \/><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px\"><\/a>. <\/p>\n<h4>UNIT – 3<\/h4>\n<p> Random vector and distributions Mean vector, covariance matrix and properties, Some special distributions: Uniform, Gaussian and Rayleigh distributions; Binomial, and Poisson distributions; Multivariate Gaussian distribution, Vector- space representation of random variables, linear indepe ndence, inner product, Schwarz Inequality, Elements of estimation theory: linear minimum mean – square error and orthogonality principle in estimation; Moment – generating and characteristic functions and their applications, Bounds and approximations: Chebysev inequality and Chernoff Bound. .<\/p>\n<h4>UNIT – 4<\/h4>\n<p> Sequence of random variables and convergence Almost sure convergence and strong law of large numbers; convergence in mean square sense with examples from parameter estimation; convergence in probability with examples; convergence in distribution, Central limit theorem and its significance.<\/p>\n<h4>UNIT – 5<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdf platform to make students’s lives easier.<\/b><br \/><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px\"><\/a>. <\/p>\n<h4>UNIT – 6<\/h4>\n<p> Spectral representation of a real WSS process Power spectral density, properties of power spectral density, cross- power spectral density and properties; auto- correlation function and power spectral density of a WSS random sequence, Line ar time – invariant system with a WSS process as an input: sationarity of the output, auto -correlation and power – spectral density of the output; examples with white -noise as input; linear shift – invariant discrete- time system with a WSS sequence as input, Spe ctral factorization theorem, Examples of random processes: white noise process and white noise sequence; Gaussian process; Poisson process, Markov Process.<\/p>\n<h4>Text Books:<\/h4>\n<ol>\n<li>T. Veerrajan, Probability, Statistics and Random Processes, Third Edition, McGraw Hill.<\/li>\n<li>Probability and Random Processes by Geoffrey Grimmett, David Stirzaker<\/li>\n<li>Probability, random processes, and estimation theory for engineers by Henry Stark, John William Woods.<\/li>\n<li>H. Stark and J. Woods, ”Probability and Random Processes with Applications to Signal Processing,” Third Edition, Pearson Education<\/li>\n<li>A. Papoulis and S. Unnikrishnan Pillai, Probability, Random Variables and Stochastic Processes,” Fourth Edition, McGraw Hill.<\/li>\n<li>K. L. Chung, Introduction to Probability Theory with Stochastic Processes, Springer International<\/li>\n<li>P. G. Hoel, S. C. Port and C. J. Stone, Introduction to Probability, UBS Publishers.<\/li>\n<li>P. G. Hoel, S. C. Port and C. J. Stone, Introduction to Stochastic Processes, UBS Publishers<\/li>\n<li>S. Ross, Introduction to Stochastic Models, Harcourt Asia, Academic Press.<\/li>\n<\/ol>\n<p align=\"justify\">For detail syllabus of all subjects of Electronics & Telecommunication Engineering (ET) 5th Sem 2019-20 onwards, visit <a href=\"..\/category\/dbatu\/5th-sem-dbatu\">ET 5th Sem Subjects <\/a>of 2019-20 Onwards.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Probability Theory and Random Processes detailed syllabus scheme for Electronics & Telecommunication Engineering (ET), 2019-20 onwards has been taken from the DBATU official website and presented for the Bachelor of […]<\/p>\n","protected":false},"author":2351,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[108],"tags":[],"class_list":["post-19427","post","type-post","status-publish","format-standard","hentry","category-et-dbatu"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/posts\/19427","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/users\/2351"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/comments?post=19427"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/posts\/19427\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/media?parent=19427"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/categories?post=19427"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/tags?post=19427"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}