Author: Steven Roman
Publisher: Springer Science & Business Media
ISBN: 9780387947044
Category : Computers
Languages : en
Pages : 344
Get Book Here
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
Get Book Here
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
Get Book Here
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
Get Book Here
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: Gareth A. Jones
Publisher: Springer Science & Business Media
ISBN: 1447103610
Category : Technology & Engineering
Languages : en
Pages : 217
Get Book Here
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: Dr. J. S. Chitode
Publisher: Technical Publications
ISBN: 9333223975
Category : Technology & Engineering
Languages : en
Pages : 534
Get Book Here
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.
Author: R. J. McEliece
Publisher: Cambridge University Press
ISBN: 9780521831857
Category : Computers
Languages : en
Pages : 414
Get Book Here
Book Description
Student edition of the classic text in information and coding theory
Author: Norman Abramson
Publisher: New York, N.Y. : McGraw-Hill
ISBN:
Category : Computers
Languages : en
Pages : 230
Get Book Here
Book Description
Author: Wells
Publisher: Pearson Education India
ISBN: 9788131724163
Category :
Languages : en
Pages : 324
Get Book Here
Book Description
Author: Ron Roth
Publisher: Cambridge University Press
ISBN: 9780521845045
Category : Computers
Languages : en
Pages : 592
Get Book Here
Book Description
This 2006 book introduces the theoretical foundations of error-correcting codes for senior-undergraduate to graduate students.
