Two-Dimensional Information Theory and Coding
With Applications to Graphics Data and High-Density Storage Media

A complete introduction to the subject, providing the key techniques for modeling two-dimensional data and estimating their information content.

Jørn Justesen (Author), Søren Forchhammer (Author)

9780521888608, Cambridge University Press

Hardback, published 15 October 2009

184 pages, 2 b/w illus. 11 tables 51 exercises
25.4 x 15.8 x 1.4 cm, 0.52 kg

This complete introduction to two-dimensional (2-D) information theory and coding provides the key techniques for modeling data and estimating their information content. Throughout, special emphasis is placed on applications to transmission, storage, compression, and error protection of graphic information. The book begins with a self-contained introduction to information theory, including concepts of entropy and channel capacity, which requires minimal mathematical background knowledge. It then introduces error-correcting codes, particularly Reed-Solomon codes, the basic methods for error-correction, and codes applicable to data organized in 2-D arrays. Common techniques for data compression, including compression of 2-D data based on application of the basic source coding, are also covered, together with an advanced chapter dedicated to 2-D constrained coding for storage applications. Numerous worked examples illustrate the theory, whilst end-of-chapter exercises test the reader's understanding, making this an ideal book for graduate students and also for practitioners in the telecommunications and data storage industries.

Preface
1. Introduction to information theory
2. Finite state sources
3. Channels and linear codes
4. Reed-Solomon codes and their decoding
5. Source coding
6. Information in two-dimensional media
7. Constrained two-dimensional fields for storage
8. Reed-Solomon codes in applications
Appendix A: Fast arithmetic coding
Appendix B: Maximizing entropy
Appendix C: Decoding of RS code in F(16)
Index.

Subject Areas: Communications engineering / telecommunications [TJK], Electronics engineering [TJF], Electrical engineering [THR], Applied mathematics [PBW]