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Introduction to Coding and Information Theory

Introduction to Coding and Information Theory
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.


The Theory of Information and Coding

The Theory of Information and Coding
Author: R. J. McEliece
Publisher: Cambridge University Press
Total Pages: 414
Release: 2004-07-15
Genre: Computers
ISBN: 9780521831857

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Student edition of the classic text in information and coding theory


Mathematics of Information and Coding

Mathematics of Information and Coding
Author: Te Sun Han
Publisher: American Mathematical Soc.
Total Pages: 306
Release: 2002
Genre: Computers
ISBN: 9780821842560

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This book is intended to provide engineering and/or statistics students, communications engineers, and mathematicians with the firm theoretic basis of source coding (or data compression) in information theory. Although information theory consists of two main areas, source coding and channel coding, the authors choose here to focus only on source coding. The reason is that, in a sense, it is more basic than channel coding, and also because of recent achievements in source coding and compression. An important feature of the book is that whenever possible, the authors describe universal coding methods, i.e., the methods that can be used without prior knowledge of the statistical properties of the data. The authors approach the subject of source coding from the very basics to the top frontiers in an intuitively transparent, but mathematically sound, manner. The book serves as a theoretical reference for communication professionals and statisticians specializing in information theory. It will also serve as an excellent introductory text for advanced-level and graduate students taking elementary or advanced courses in telecommunications, electrical engineering, statistics, mathematics, and computer science.


Information and Coding Theory

Information and Coding Theory
Author: Gareth A. Jones
Publisher: Springer Science & Business Media
Total Pages: 217
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1447103610

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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.


Fundamentals of Information Theory and Coding Design

Fundamentals of Information Theory and Coding Design
Author: Roberto Togneri
Publisher: CRC Press
Total Pages: 385
Release: 2003-01-13
Genre: Computers
ISBN: 0203998103

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Books on information theory and coding have proliferated over the last few years, but few succeed in covering the fundamentals without losing students in mathematical abstraction. Even fewer build the essential theoretical framework when presenting algorithms and implementation details of modern coding systems. Without abandoning the theoret


Coding and Information Theory

Coding and Information Theory
Author: Steven Roman
Publisher: Springer Science & Business Media
Total Pages: 520
Release: 1992-06-04
Genre: Mathematics
ISBN: 9780387978123

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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.


Information, Coding and Mathematics

Information, Coding and Mathematics
Author: Mario Blaum
Publisher: Springer Science & Business Media
Total Pages: 380
Release: 2013-03-09
Genre: Technology & Engineering
ISBN: 1475735855

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Information, Coding and Mathematics is a classic reference for both professional and academic researchers working in error-correction coding and decoding, Shannon theory, cryptography, digital communications, information security, and electronic engineering. The work represents a collection of contributions from leading experts in turbo coding, cryptography and sequences, Shannon theory and coding bounds, and decoding theory and applications. All of the contributors have individually and collectively dedicated their work as a tribute to the outstanding work of Robert J. McEliece. Information, Coding and Mathematics covers the latest advances in the widely used and rapidly developing field of information and communication technology.


The Theory of Information and Coding

The Theory of Information and Coding
Author: Robert J. McEliece
Publisher: Westview Press
Total Pages: 328
Release: 1977
Genre: Computers
ISBN:

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This is a self-contained introduction to the theory of information and coding. It can be used either for self-study or as the basis for a course at either the graduate or ,undergraduate level. The text includes dozens of worked examples and several hundred problems for solution.


Mathematical Foundations of Information Theory

Mathematical Foundations of Information Theory
Author: Aleksandr I?Akovlevich Khinchin
Publisher: Courier Corporation
Total Pages: 130
Release: 1957-01-01
Genre: Mathematics
ISBN: 0486604349

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First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.