Source coding, reducing redundancy by modelling the structure in the data. Information theory and network coding spin springers internal project number, if known january 31, 2008 springer. An introduction to information theory and applications f. Let us now illustrate network coding by considering the communication networkdepictedbyfig. This fundamental monograph introduces both the probabilistic and algebraic aspects of information theory and coding. Introduction, measure of information, average information content of symbols in long independent sequences, average information content of symbols in long dependent sequences. Information theory, in the technical sense, as it is used today goes back to the work. 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.
It can be subdivided into source coding theory and channel coding theory. This theory was developed to deal with the fundamental problem of communication, that of reproducing at one point, either exactly or approximately, a message selected at another point. The main emphasis is on the underlying concepts that govern information theory and the necessary mathematical background that describe modern coding systems. Geometric interpretations of channel coding 1 5 10 n t figure 1 representation of messages by discrete temporal signals it 20009, slide 16. Mod01 lec01 introduction to information theory and. Introduction to information theory and coding louis wehenkel channel coding data transmission 1.
Information theory, coding and cryptography are the three load. L3extention of an information source and markov source. Part i is a rigorous treatment of information theory for discrete and continuous systems. The coding theory examples begin from easytograsp concepts that you could definitely do in your head, or at least visualize them. 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. Inthisnetwork,wewanttomulticast two bits and from the source to both the nodes and. Components of information theory, and fundamentals of network coding theory. Information theory and coding by example by mark kelbert. Entropy, mutual information, conditional and joint entropy.
In this introductory course, we will start with the basics of information theory and source coding. Information theory and coding nptel online videos, courses. Dey, department of electrical engineering,iit bombay. This section provides the schedule of lecture topics for the course along with the lecture notes for each session. Entropy coding ratedistortion theory mutual information channel capacity information theory shannon 1948. Mod01 lec02 definition of information measure and entropy. This chapter is less important for an understanding of the basic principles, and is more an attempt to broaden the view on coding and information theory. Through the use destination of coding, a major topic of information theory, redundancy can be reduced from. In summary, chapter 1 gives an overview of this book, including the system model, some basic operations of information processing, and illustrations of. In this fundamental work he used tools in probability theory, developed by norbert wiener, which were. The theory despite its practical origins is a profound mathematical theory shannon and weaver 1949 concerned with the more basic aspects of the communication processes. Moser and poning chen frontmatter more information. Information theory was born in a surprisingly rich state in the classic papers of claude e. Y 0 implies that h x h xi y, and it is possible if and only example 1.
This book is an uptodate treatment of information theory for discrete random variables, which forms the foundation of the theory at large. An introduction to information theory and applications. Difference between information theory,communications theory and signal processing. Introduction to information theory and coding is designed for students with little background in the field of communication engineering. This course in concerned with the fundamental limits of communication. The course will study how information is measured in terms of probability and entropy, and the.
It is a selfcontained introduction to all basic results in the theory of information and coding. Mod01 lec01 introduction to information theory and coding. Preface this book is an evolution from my book a first course in information theory published in 2002 when network coding was still at its infancy. This work focuses on the problem of how best to encode the information a sender wants to transmit. Coding theory is one of the most important and direct applications of information theory.
Information theory 5 channel coding introduction redundancy into the channel encoder and using this redundancy at the decoder to reconstitute the input sequences as accurately as possible, i. Information theory, coding and cryptography ranjan bose. Using a statistical description for data, information theory quantifies the number of bits needed to describe the data, which is the information entropy of the source. This textbook is thought to be an easytoread introduction to coding and information theory for students at. This book is intended to introduce coding theory and information theory to undergraduate students of mathematics and computer science. Information theory and coding j g daugman prerequisite courses.
This channel contains technical lectures on electronics and communication engineering from seven indian institutes of technology iits and indian institut. Shannon 1 2 which contained the basic results for simple memoryless sources and channels and introduced more general communication systems models, including nite state sources and channels. 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. Therefore, it makes sense to con ne the information carriers to discrete sequences of symbols, unless di erently stated. Information theory and network coding springerlink. Lecture 1 introduction to information theory and coding lecture 2 definition of information measure and entropy lecture 3 extention of an information. Communication communication involves explicitly the transmission of information from one point to another. Information theory, coding and cryptography are the three loadbearing pillars of any digital. Nptel, online courses and certification, learn for free. 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. Sending such a telegram costs only twenty ve cents. Information theory grew in the decades of 1940s and 1950s with the requirement of electrical engineers to design practical communication devices. Shannons sampling theory tells us that if the channel is bandlimited, in place of the signal we can consider its samples without any loss. The main motivation behind this book is to make students better understand the methods of information theory and coding.
Information theory, coding and cryptography source coding ii the case i x. Information theory, coding and cryptography are the three load bearing pillars of any digital. Mod01 lec01 introduction to information theory and coding nptelhrd. This course will guide students through various data compression techniques and the coding theory part is concerned with practical techniques to realize the limits specified by information theory. Written by the great hamming, this book is a perfect balance of information theory and coding theory. Fundamentals of information theory and coding design. So some say little info, much theory wrong today, information theory offers useful guidelines to design of communication systems turbo code approaches channel capacity cdma has a higher capacity than fdmatdma channelcoding approach to source coding duality network coding goes beyond routing.
Information theory and network coding consists of two parts. Information theory and coding university of cambridge. Discrete mathematics aims the aims of this course are to introduce the principles and applications of information theory. In addition to the classical topics, there are such modern topics as the imeasure, shannontype and nonshannontype information inequalities, and a fundamental. Tv screen,audio system and listener, computer file,image printer and viewer. Coding and information theory chris williams, school of informatics, university of edinburgh overview what is information theory. Lecture notes on information theory preface \there is a whole book of readymade, long and convincing, lavishly composed telegrams for all occasions. Merchant, department of electrical engineering, iit bombay. Universita degli studi di siena facolt a di ingegneria lecture notes on information theory and coding mauro barni benedetta tondi 2012.
Chapter1 introduction information theory is the science of operations on data such as compression, storage, and communication. It has evolved from the authors years of experience teaching at the undergraduate level, including several cambridge maths tripos courses. Please, dont hesitate to contact me at if you have any questions or if you need more information. A group project which illustrates important aspects of information and coding theory is required in this course. Note that this class makes no attempt to directly represent the code in this.