Introduction to Coding and Information Theory

Steven Roman (Autor)

Buch | Hardcover

326 Seiten

1996 | 1997 ed.
Springer-Verlag New York Inc.
978-0-387-94704-4 (ISBN)

Infos

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.

Inhalt

Introduction:
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;

Produkt-Details

• Reihe/Serie: Undergraduate Texts in Mathematics
• Zusatzinfo: XIV, 326 p.
• Verlagsort: New York, NY
• Sprache: englisch
• Maße: 178 x 254 mm
• Themenwelt: Informatik ► Theorie / Studium ► Kryptologie
• Themenwelt: Mathematik / Informatik ► Mathematik
• ISBN-10: 0-387-94704-3 / 0387947043
• ISBN-13: 978-0-387-94704-4 / 9780387947044
• Zustand: Neuware