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Author: Steven Roman
Publisher: Springer Science & Business Media
ISBN: 9780387947044
Category : Computers
Languages : en
Pages : 344
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Book Description
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: Steven Roman
Publisher: Springer Science & Business Media
ISBN: 9780387947044
Category : Computers
Languages : en
Pages : 344
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Book Description
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: Stefan M. Moser
Publisher: Cambridge University Press
ISBN: 1107015839
Category : Computers
Languages : en
Pages : 207
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Book Description
This is a concise, easy-to-read guide, introducing beginners to coding theory and information theory.
Author: Richard Wesley Hamming
Publisher: Prentice Hall
ISBN:
Category : Computers
Languages : en
Pages : 280
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Book Description
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: Steven Roman
Publisher: Springer Science & Business Media
ISBN: 9780387978123
Category : Mathematics
Languages : en
Pages : 520
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Book Description
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: Jurgen Bierbrauer
Publisher: CRC Press
ISBN: 148229981X
Category : Computers
Languages : en
Pages : 539
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Book Description
This book is designed to be usable as a textbook for an undergraduate course or for an advanced graduate course in coding theory as well as a reference for researchers in discrete mathematics, engineering and theoretical computer science. This second edition has three parts: an elementary introduction to coding, theory and applications of codes, and algebraic curves. The latter part presents a brief introduction to the theory of algebraic curves and its most important applications to coding theory.
Author: Gareth A. Jones
Publisher: Springer Science & Business Media
ISBN: 1447103610
Category : Technology & Engineering
Languages : en
Pages : 217
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Book Description
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: R. J. McEliece
Publisher: Cambridge University Press
ISBN: 9780521831857
Category : Computers
Languages : en
Pages : 414
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Book Description
Student edition of the classic text in information and coding theory
Author: Monica Borda
Publisher: Springer Science & Business Media
ISBN: 3642203477
Category : Technology & Engineering
Languages : en
Pages : 504
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Book Description
The work introduces the fundamentals concerning the measure of discrete information, the modeling of discrete sources without and with a memory, as well as of channels and coding. The understanding of the theoretical matter is supported by many examples. One particular emphasis is put on the explanation of Genomic Coding. Many examples throughout the book are chosen from this particular area and several parts of the book are devoted to this exciting implication of coding.
Author: Mark Kelbert
Publisher: Cambridge University Press
ISBN: 1107292174
Category : Mathematics
Languages : en
Pages : 527
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Book Description
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.
Author: Dr. J. S. Chitode
Publisher: Technical Publications
ISBN: 9333223975
Category : Technology & Engineering
Languages : en
Pages : 535
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Book Description
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.
