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OverviewThis 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. Full Product DetailsAuthor: Steven RomanPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 1997 ed. Dimensions: Width: 17.80cm , Height: 2.00cm , Length: 25.40cm Weight: 1.920kg ISBN: 9780387947044ISBN 10: 0387947043 Pages: 326 Publication Date: 26 November 1996 Audience: College/higher education , Undergraduate Format: Hardback Publisher's Status: Active Availability: Out of print, replaced by POD ![]() We will order this item for you from a manufatured on demand supplier. Table of ContentsIntroduction: Preliminaries; Miscellany; Some Probability; Matrices 1. An Introduction to Codes Strings and Things; What are codes? Uniquely Decipherable Codes; Instantaneous Codes and Kraft's Theorem 2. Efficient Encoding Information Sources; Average Codeword Length; Huffman Encoding; The Proof that Huffman Encoding is the Most Efficient 3. Noiseless Coding Entropy; Properties of Entropy; Extensions of an Information 1= Source; The Noiseless Coding Theorem II Coding Theory 4. The Main Coding Theory Problem Communications Channels; Decision Rules; Nearest Neighbor Decoding;ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |