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Author | : Steven Roman |
Publisher | : Springer Science & Business Media |
Total Pages | : 344 |
Release | : 1996-11-26 |
Genre | : Computers |
ISBN | : 9780387947044 |
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This book is intended to introduce coding theory and information theory to undergraduate students of mathematics and computer science. It begins with a review of probablity theory as applied to finite sample spaces and a general introduction to the nature and types of codes. The two subsequent chapters discuss information theory: efficiency of codes, the entropy of information sources, and Shannon's Noiseless Coding Theorem. The remaining three chapters deal with coding theory: communication channels, decoding in the presence of errors, the general theory of linear codes, and such specific codes as Hamming codes, the simplex codes, and many others.
Author | : Richard Wesley Hamming |
Publisher | : Prentice Hall |
Total Pages | : 280 |
Release | : 1986 |
Genre | : Computers |
ISBN | : |
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Focusing on both theory and practical applications, this volume combines in a natural way the two major aspects of information representation--representation for storage (coding theory) and representation for transmission (information theory).
Author | : Stefan M. Moser |
Publisher | : Cambridge University Press |
Total Pages | : 207 |
Release | : 2012-01-26 |
Genre | : Computers |
ISBN | : 1107015839 |
Download A Student's Guide to Coding and Information Theory Book in PDF, ePub and Kindle
This is a concise, easy-to-read guide, introducing beginners to coding theory and information theory.
Author | : Steven Roman |
Publisher | : Springer Science & Business Media |
Total Pages | : 520 |
Release | : 1992-06-04 |
Genre | : Mathematics |
ISBN | : 9780387978123 |
Download Coding and Information Theory Book in PDF, ePub and Kindle
This book is an introduction to information and coding theory at the graduate or advanced undergraduate level. It assumes a basic knowledge of probability and modern algebra, but is otherwise self- contained. The intent is to describe as clearly as possible the fundamental issues involved in these subjects, rather than covering all aspects in an encyclopedic fashion. The first quarter of the book is devoted to information theory, including a proof of Shannon's famous Noisy Coding Theorem. The remainder of the book is devoted to coding theory and is independent of the information theory portion of the book. After a brief discussion of general families of codes, the author discusses linear codes (including the Hamming, Golary, the Reed-Muller codes), finite fields, and cyclic codes (including the BCH, Reed-Solomon, Justesen, Goppa, and Quadratic Residue codes). An appendix reviews relevant topics from modern algebra.
Author | : Gareth A. Jones |
Publisher | : Springer Science & Business Media |
Total Pages | : 217 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1447103610 |
Download Information and Coding Theory Book in PDF, ePub and Kindle
This text is an elementary introduction to information and coding theory. The first part focuses on information theory, covering uniquely decodable and instantaneous codes, Huffman coding, entropy, information channels, and Shannon’s Fundamental Theorem. In the second part, linear algebra is used to construct examples of such codes, such as the Hamming, Hadamard, Golay and Reed-Muller codes. Contains proofs, worked examples, and exercises.
Author | : Norman Abramson |
Publisher | : New York, N.Y. : McGraw-Hill |
Total Pages | : 230 |
Release | : 1963 |
Genre | : Computers |
ISBN | : |
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Author | : J. H. van Lint |
Publisher | : Springer Science & Business Media |
Total Pages | : 181 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662079984 |
Download Introduction to Coding Theory Book in PDF, ePub and Kindle
Coding theory is still a young subject. One can safely say that it was born in 1948. It is not surprising that it has not yet become a fixed topic in the curriculum of most universities. On the other hand, it is obvious that discrete mathematics is rapidly growing in importance. The growing need for mathe maticians and computer scientists in industry will lead to an increase in courses offered in the area of discrete mathematics. One of the most suitable and fascinating is, indeed, coding theory. So, it is not surprising that one more book on this subject now appears. However, a little more justification of the book are necessary. A few years ago it was and a little more history remarked at a meeting on coding theory that there was no book available an introductory course on coding theory (mainly which could be used for for mathematicians but also for students in engineering or computer science). The best known textbooks were either too old, too big, too technical, too much for specialists, etc. The final remark was that my Springer Lecture Notes (# 201) were slightly obsolete and out of print. Without realizing what I was getting into I announced that the statement was not true and proved this by showing several participants the book Inleiding in de Coderingstheorie, a little book based on the syllabus of a course given at the Mathematical Centre in Amsterdam in 1975 (M. C. Syllabus 31).
Author | : Dr. J. S. Chitode |
Publisher | : Technical Publications |
Total Pages | : 534 |
Release | : 2021-01-01 |
Genre | : Technology & Engineering |
ISBN | : 9333223975 |
Download Information Theory and Coding Book in PDF, ePub and Kindle
Various measures of information are discussed in first chapter. Information rate, entropy and mark off models are presented. Second and third chapter deals with source coding. Shannon's encoding algorithm, discrete communication channels, mutual information, Shannon's first theorem are also presented. Huffman coding and Shannon-Fano coding is also discussed. Continuous channels are discussed in fourth chapter. Channel coding theorem and channel capacity theorems are also presented. Block codes are discussed in chapter fifth, sixth and seventh. Linear block codes, Hamming codes, syndrome decoding is presented in detail. Structure and properties of cyclic codes, encoding and syndrome decoding for cyclic codes is also discussed. Additional cyclic codes such as RS codes, Golay codes, burst error correction is also discussed. Last chapter presents convolutional codes. Time domain, transform domain approach, code tree, code trellis, state diagram, Viterbi decoding is discussed in detail.
Author | : Ron Roth |
Publisher | : Cambridge University Press |
Total Pages | : 592 |
Release | : 2006-02-23 |
Genre | : Computers |
ISBN | : 9780521845045 |
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This 2006 book introduces the theoretical foundations of error-correcting codes for senior-undergraduate to graduate students.
Author | : Mark Kelbert |
Publisher | : Cambridge University Press |
Total Pages | : 527 |
Release | : 2013-09-12 |
Genre | : Mathematics |
ISBN | : 1107292174 |
Download Information Theory and Coding by Example Book in PDF, ePub and Kindle
This fundamental monograph introduces both the probabilistic and algebraic aspects of information theory and coding. It has evolved from the authors' years of experience teaching at the undergraduate level, including several Cambridge Maths Tripos courses. The book provides relevant background material, a wide range of worked examples and clear solutions to problems from real exam papers. It is a valuable teaching aid for undergraduate and graduate students, or for researchers and engineers who want to grasp the basic principles.