Coding and information theory / Steven Roman.

By:

Roman, Steven

Material type: Text

TextSeries: Graduate texts in mathematics ; 134Publication details: New York : Springer-Verlag, c1992.Description: xvii, 486 p. : ill. ; 25 cmISBN:

0387978127 (New York : acid-free paper)
3540978127 (Berlin : acid-free paper)

Subject(s):

DDC classification:

003.54 20

LOC classification:

QA268 .R65 1992

Contents:

1: Entropy. 2: Noisless Coding. 3: Noisy Coding. 4: General Remarks on Codes. 5: Linear Codes. 6: Some Linear Codes. 7: Finite Fields and Cyclic Codes. 8: Some Cyclic Codes.

Summary: This book provides an elementary introduction to Information Theory and Coding Theory - two related aspects of the problem of how to transmit information efficiently and accurately. The first part of the book focuses on Information Theory, covering uniquely decodable and instantaneous codes, Huffman coding, entropy, information channels, and Shannon's Fundamental Theorem. In the second part, on Coding Theory, linear algebra is used to construct examples of such codes, such as the Hamming, Hadamard, Golay and Reed-Muller codes.The book emphasises carefully explained proofs and worked examples; exercises (with solutions) are integrated into the text as part of the learning process. Only some basic probability theory and linear algebra, together with a little calculus (as covered in most first-year university syllabuses), is assumed, making it suitable for second- and third-year undergraduates in mathematics, electronics and computer science.

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Holdings
Item type	Current library	Call number	Copy number	Status	Date due	Barcode
Books	Main library General Stacks	003.54 / RO.C 1992 (Browse shelf(Opens below))	1	Available		000783

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Previous	003.54 / KU.I 1997 Information theory and statistics /	003.54 / MA.I 2007 Information theory, inference, and learning algorithms /	003.54 / RE.I 1994 An introduction to information theory /	003.54 / RO.C 1992 Coding and information theory /	003.54 / YE.F 2002 A first course in information theory /	003.54 / YE.F 2002 A first course in information theory /	003.830113 / AB.H 2012 Handbook of research on discrete event simulation environments : technologies and applications /	Next

Includes bibliographical references (p. [475]-477) and indexes.

1: Entropy. 2: Noisless Coding. 3: Noisy Coding. 4: General Remarks on Codes. 5: Linear Codes. 6: Some Linear Codes. 7: Finite Fields and Cyclic Codes. 8: Some Cyclic Codes.

This book provides an elementary introduction to Information Theory and Coding Theory - two related aspects of the problem of how to transmit information efficiently and accurately. The first part of the book focuses on Information Theory, covering uniquely decodable and instantaneous codes, Huffman coding, entropy, information channels, and Shannon's Fundamental Theorem. In the second part, on Coding Theory, linear algebra is used to construct examples of such codes, such as the Hamming, Hadamard, Golay and Reed-Muller codes.The book emphasises carefully explained proofs and worked examples; exercises (with solutions) are integrated into the text as part of the learning process. Only some basic probability theory and linear algebra, together with a little calculus (as covered in most first-year university syllabuses), is assumed, making it suitable for second- and third-year undergraduates in mathematics, electronics and computer science.

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