Introduction to Coding and Information Theory
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ISBN-13:
9780387947044
Veröffentl:
1996
Einband:
HC runder Rücken kaschiert
Erscheinungsdatum:
26.11.1996
Seiten:
344
Autor:
Steven Roman
Gewicht:
845 g
Format:
260x183x24 mm
Serie:
Undergraduate Texts in Mathematics
Sprache:
Englisch
Beschreibung:
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.
This book is an introduction to coding theory and information theory for undergraduate students of mathematics and computer science. Among the topics it discusses are: a review of probablity theory; the efficiency of codes, the capacity of communications channels, coding and decoding in the presence of errors, the general theory of linear codes, and examples of specific codes used in ordinalry communications as wwell as cryptography.
Introduction:Preliminaries; Miscellany; Some Probability; Matrices1. An Introduction to CodesStrings and Things; What are codes? Uniquely Decipherable Codes;Instantaneous Codes and Kraft's Theorem2. Efficient EncodingInformation Sources; Average Codeword Length; Huffman Encoding; TheProof that Huffman Encoding is the Most Efficient3. Noiseless CodingEntropy; Properties of Entropy; Extensions of an Information 1= Source; The Noiseless Coding TheoremII Coding Theory4. The Main Coding Theory ProblemCommunications Channels; Decision Rules; Nearest Neighbor Decoding;
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