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

ISBN-13: 9780521888608 / Angielski / Twarda / 2009 / 184 str.

Jorn Justesen

Opis

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."

Spis treści

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.