{"id":13806,"date":"2014-12-15T14:00:00","date_gmt":"2014-12-15T13:00:00","guid":{"rendered":"https:\/\/rafen.app\/uncategorized\/coding-and-information-theory\/"},"modified":"2023-02-14T16:51:58","modified_gmt":"2023-02-14T15:51:58","slug":"coding-and-information-theory","status":"publish","type":"post","link":"https:\/\/raf.edu.rs\/en\/subjects\/coding-and-information-theory\/","title":{"rendered":"Coding and information theory"},"content":{"rendered":"<h5>Objectives and outcomes<\/h5>\n<p>Lectures and practical classes provide students with a basic knowledge of information theory and coding<br \/>\nin communication systems. Upon completion of the course, students understand the concept of the amount of<br \/>\ninformation and discrete sources with and without memory. Students know the theory of statistical<br \/>\ncoding, Shannon&#8217;s first theorem and procedures for obtaining code with a minimum average codeword<br \/>\nlength. Students are familiar with discrete memory and memoryless channels. They understand another<br \/>\nShannon&#8217;s theorem and protective coding algorithms &#8211; block codes, cyclic codes and convolution codes.<\/p>\n<h5>Lectures<\/h5>\n<p>Communication system model. The concept of information. Definition of the amount of information.<br \/>\nDiscrete memoryless sources. Properties of entropy. Discrete sources with memory. The entropy of the<br \/>\nMarkov source. Continuous sources of information. Statistical coding. Kraft inequality. Prefix code.<br \/>\nCompact code. Shannon&#8217;s first theorem. Compact code construction methods. Shannon-Fano coding.<br \/>\nHuffman coding. Statistical channel model. Discrete memoryless channels. Discrete channel capacity.<br \/>\nDiscrete channels with memory. Continuous channels. Continuous channel capacity. Protective<br \/>\nencryption. Shannon&#8217;s second theorem. Probability of error. Hamming distance. Block codes.<br \/>\nConvolutional coding. Viterbi&#8217;s algorithm. Basics of trellis coded modulation.<\/p>\n<h5>Practical classes<\/h5>\n<p>The entropy of discrete memoryless sources. State diagram, stationary state and symbol<br \/>\nprobabilities, trellis diagram and entropy of Markov sources. Code properties &#8211; singularity, unambiguous<br \/>\ndecodability, prefix code, compact code. Huffman coding, code efficiency and compression ratio. Lempel-<br \/>\nZiv 78 algorithm. Discrete memoryless channel, equivocation, irrelevance, mutual information and<br \/>\nchannel capacity. Maximum likelihood (ML) and maximum a posteriori (MAP) decision rule. Linear block<br \/>\ncodes, Hamming code, cyclic codes, systematic codes and block diagrams of corresponding encoders<br \/>\nand decoders. Convolutional codes, code rate, code range, trellis diagram, state diagram, transfer<br \/>\nfunction, free code distance, Viterbi&#8217;s algorithm. Systematic convolutional encoder.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Objectives and outcomes Lectures and practical classes provide students with a basic knowledge of information theory and coding in communication systems. Upon completion of the course, students understand the concept of the amount of information &#8230; <a title=\"Coding and information theory\" class=\"read-more\" href=\"https:\/\/raf.edu.rs\/en\/subjects\/coding-and-information-theory\/\" aria-label=\"More on Coding and information theory\">Read more<\/a><\/p>\n <a href=\"https:\/\/raf.edu.rs\/en\/subjects\/coding-and-information-theory\/\" class=\"more-link\" title=\"Read more\">Read more<\/a>","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[199],"tags":[],"class_list":["post-13806","post","type-post","status-publish","format-standard","hentry","category-subjects"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Coding and information theory - School of Computing<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/raf.edu.rs\/en\/subjects\/coding-and-information-theory\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Coding and information theory - School of Computing\" \/>\n<meta property=\"og:description\" content=\"Objectives and outcomes Lectures and practical classes provide students with a basic knowledge of information theory and coding in communication systems. Upon completion of the course, students understand the concept of the amount of information ... 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