Lectures in information and coding theory haverford college. This note will cover both classical and modern topics, including information entropy, lossless data compression, binary hypothesis testing. Information theory and coding information theory provides a quanttatiive measure of the information contained in message signals and allows us to determine the capacity of a communication system to transfer this information from source to. This is a graduatelevel introduction to mathematics of information theory. It was the result of crucial contributions made by many distinct individuals, from a variety of backgrounds, who took his ideas and expanded upon them. Given any two letters a j and a k, if pa j pa k, then l j ppt pdf ebooks this blog contains a huge collection of various lectures notes, slides, ebooks in ppt, pdf and html format in all subjects. The two subsequent chapters discuss information theory. Sending such a telegram costs only twenty ve cents. It is suitable for undergraduates with a modest mathematical background. A tutorial introduction is a highly readable first account of shannons mathematical theory of communication, now known as information theory.
Measures for continuous random variable, relative entropy 2 2 lecture 4. Information theory and coding nitin mittal head of department electronics and. This book is an uptodate treatment of information theory for discrete random variables, which forms the foundation of the theory at large. Information theory and coding the computer laboratory. Information theory was not just a product of the work of claude shannon. Along the way, well give some intuitive reasoning behind these values in addition to the formulas.
This book is intended to introduce coding theory and information theory to undergraduate students of mathematics and computer science. Lecture notes on quantum information and computation. Free information theory books download ebooks online. Through the use destination of coding, a major topic of information theory, redundancy can be reduced from. Amit degada teaching assistant, eced, nit surat goal of todays lecture information theorysome introduction information measure function determination for information average information per symbol information rate coding shannonfano coding. How information theory bears on the design and operation of modernday systems such as smartphones and the internet. In this introductory chapter, we will look at a few representative examples which try to give a. My aim is to help students and faculty to download study materials at one place. Waterfilling solution, a derivation given by stephen boyd and lieven vandenberghe in convex optimization. Fundamentals of information theory and coding design.
Information theory and coding computer science tripos part ii, michaelmas term 11 lectures by j g daugman 1. Principles of qualitative analysis steps in analyzing qualitative data. Gallager, information theory and reliable communication. Information theory and coding university of cambridge. It was originally proposed by claude shannon in 1948 to find fundamental limits on signal processing and communication operations such as data compression, in a landmark paper titled a mathematical theory of communication. L3extention of an information source and markov source. What are entropy and mutual information, and why are they so fundamental to data representation, communication, and inference. I use these lecture notes in my course information theory, which is a graduate course in the first year.
Universita degli studi di siena facolt a di ingegneria lecture notes on information theory and coding mauro barni benedetta tondi 2012. Coding theory then attempts to realize the promise of these bounds by models which are constructed through mainly algebraic means. Download pdf of information theory and coding note electronics and communication engineering offline reading, offline notes, free download in app, engineering class handwritten notes, exam notes, previous year questions, pdf free download. The basic material on codes that we will discuss in initial lectures can be found in one of many textbooks some of the standard ones are listed below, but the recent algorithmic developments and. Informationtheoretic quantities for discrete random variables. In this video an introduction to information and coding theory is introduced. Information theory and coding by ranjan bose free pdf download. Lecture notes information theory electrical engineering and. All of the needed elementary discrete probability is developed in a preliminary.
Introduction to information theory, coding and cryptography. The closest resource is the excellent set of lecture notes for madhu sudans coding theory course at mit. Information theory is the study of achievable bounds for communication and is largely probabilistic and analytic in nature. Quantization and compression, introductory lecture notes. In this fundamental work he used tools in probability theory. Most closely associated with the work of the american electrical engineer claude shannon in the mid20th century, information theory is chiefly of interest to communication engineers, though some of the concepts have been adopted and. The main emphasis is on the underlying concepts that govern information theory and the necessary mathematical background that describe modern coding systems. Lecture notes in coding and information theory based on the book by. If i is the amount of information of a message m and p is the probability of occurrence of that event then mathematically, to hold above relation, the relation between i and p will be, i log1p in information theory base of the logarithmic function is 2. Information theory it is a study of communication engineering. This book is an introduction to coding and information theory, with an emphasis on coding theory. Indeed the diversity and directions of their perspectives and interests shaped the direction of information theory. You see, what gets transmitted over the telegraph is not the text of the telegram, but simply the number under which it is listed in the book. It assumes little prior knowledge and discusses both information with respect to.
Lecture notes on quantum information and computation yong zhang1 school of physics and technology, wuhan university fall 2015 abstract these lectures notes are written for both advanced undergraduate students and rstyear graduate students in the school of physics and technology, university wuhan. Introduction, measure of information, average information content of. Basic information theory tsbk01 image coding and data compression jorgen. Information theory and coding pdf book manual free. Download pdf of information theory and coding note offline reading, offline notes, free download in app, engineering class handwritten notes, exam notes, previous year. Dey, department of electrical engineering,iit bombay.
Information theory studies the quantification, storage, and communication of information. Information theory and coding itc lecture notes 01 by iit bombay. An associative memory is a contentaddressable structure that maps a set of input patterns to a set of output patterns. Introduction to information theory and coding is designed for students with little background in the field of communication engineering. The different classifications of quantifiable information is also discussed with relevant examples. The ieee information theory society is an international organization whose purpose is to connect people interested in processing, transmission, storage, and use of information, as well as theoretical and applied aspects of coding, communications, and communications networks. Optimality of a prefix code necessary conditions for an optimal variablelength binary code.
Yehudalindell departmentofcomputerscience barilanuniversity,israel january25,2010 abstract these are lecture notes for an advanced undergraduate and beginning graduate course in coding theory in the computer science department at barilan university. The notes intend to be an introduction to information theory covering the following topics. This work focuses on the problem of how best to encode the information a sender wants to transmit. Reducing the data into themes through a process of coding and condensing the codes representing the data in figures, tables or a narrative a theme is a category of information that you as the researcher. Introduction to coding and information theory book, 1997.
Shannons information theory had a profound impact on our understanding of the concepts in communication. This section provides the schedule of lecture topics for the course along with the lecture. Information theory, a mathematical representation of the conditions and parameters affecting the transmission and processing of information. Lecture notes on information theory preface \there is a whole book of readymade, long and convincing, lavishly composed telegrams for all occasions.
Lecture notes in statistics by john duchi stanford lecture notes on information theory by yury polyanskiy mit and yihong wu yale other useful books recommended, will not be used in an essential way. In 1948, claude shannon published a mathematical theory of communication, an article in two parts in the july and october issues of the bell system technical journal. Find materials for this course in the pages linked along the left. Why bits have become the universal currency for information exchange. A contentaddressable structure is a type of memory that allows the recall of data based on the degree of similarity between the input pattern and the patterns stored in memory. Entropy, mutual information, conditional and joint entropy lecture 3. Prove the channel coding theorem and derive the information capacity of different channels. While some previous knowledge of elementary linear algebra is helpful, it is not essential. The movements and transformations of information, just like those of a.
309 982 1303 1427 524 759 661 367 506 912 696 765 1246 1295 1161 203 40 527 692 540 483 1321 743 64 200 891 119 1457 307 1377 319 232 19 1260 762 1144 1010 268 1322 715