Book description

Although several books cover the coding theory of wireless communications and the hardware technologies and coding techniques of optical CDMA, no book has been specifically dedicated to optical coding theory—until now. Written by renowned authorities in the field, Optical Coding Theory with Prime gathers together in one volume the fundamentals and developments of optical coding theory, with a focus on families of prime codes, supplemented with several families of non-prime codes. The book also explores potential applications to coding-based optical systems and networks.

Learn How to Construct and Analyze Optical Codes

The authors use a theorem-proof approach, breaking down theories into digestible form so that readers can understand the main message without searching through tedious proofs. The book begins with the mathematical tools needed to understand and apply optical coding theory, from Galois fields and matrices to Gaussian and combinatorial analytical tools. Using a wealth of examples, the authors show how optical codes are constructed and analyzed, and detail their performance in a variety of applications. The book examines families of 1-D and 2-D asynchronous and synchronous, multilength, and 3-D prime codes, and some non-prime codes.

Get a Working Knowledge of Optical Coding Theory to Help You Design Optical Systems and Networks

Prerequisites include a basic knowledge of linear algebra and coding theory, as well as a foundation in probability and communications theory. This book draws on the authors’ extensive research to offer an authoritative reference on the emerging field of optical coding theory. In addition, it supplies a working knowledge of the theory and optical codes to help readers in the design of coding-based optical systems and networks.

For more on the technological aspects of optical CDMA, see Optical Code Division Multiple Access: Fundamentals and Applications (CRC Press 2005).

1. Cover
2. Half Title
3. Title Page
5. Dedication
7. List of Figures
8. List of Tables
9. Preface
11. Chapter 1 Fundamental Materials and Tools
1. 1.1 Galois Fields
2. 1.2 Vector Space
3. 1.3 Matrix Theory
4. 1.4 Hamming Distance and Weight
5. 1.5 Correlation Functions
6. 1.6 Cardinality Upper Bound
7. 1.7 Markov Chain
8. 1.8 Algebraic Tools for Performance Analysis
9. 1.9 Summary
12. Chapter 2 Optical Coding Schemes
13. Chapter 3 1-D Asynchronous Prime Codes
1. 3.1 Original Prime Codes
2. 3.2 Extended Prime Codes
3. 3.3 Generalized Prime Codes
4. 3.4 2n Prime Codes
5. 3.5 Optical Orthogonal Codes
6. 3.6 Summary
14. Chapter 4 1-D Synchronous Prime Codes
1. 4.1 Synchronous Prime Codes
2. 4.2 Synchronous Multilevel Prime Codes
3. 4.3 Synchronous Coding Applications
4. 4.4 Summary
15. Chapter 5 2-D Asynchronous Prime Codes
1. 5.1 Carrier-Hopping Prime Codes
2. 5.2 Multilevel Carrier-Hopping Prime Codes
3. 5.3 Shifted Carrier-Hopping Prime Codes
4. 5.4 Extended Carrier-Hopping Prime Codes
5. 5.5 Expanded Carrier-Hopping Prime Codes
6. 5.6 Quadratic-Congruence Carrier-Hopping Prime Codes
7. 5.7 Prime-Permuted Codes with Unipolar Codes
8. 5.8 Prime-Permuted Codes with Bipolar Codes
10. 5.10 2-D Optical Orthogonal Codes
11. 5.11 Summary
16. Chapter 6 2-D Synchronous Prime Codes
1. 6.1 Synchronous Original, Expanded, and Quadratic-Congruence Carrier-Hopping Prime Codes
2. 6.2 Synchronous Multilevel Carrier-Hopping Prime Codes
3. 6.3 Synchronous Prime-Permuted Codes
4. 6.4 Summary
17. Chapter 7 Multilength Prime Codes
1. 7.1 Multilength Carrier-Hopping Prime Codes
2. 7.2 Multilength Expanded Carrier-Hopping Prime Codes
3. 7.3 Multilength Quadratic-Congruence Carrier-Hopping Prime Codes
4. 7.4 2-D Multilength Prime-Permuted Codes
5. 7.5 Variable-Weight Coding with Same Bit Power
6. 7.6 Multilength 1-D Optical Orthogonal Codes
7. 7.7 Summary
18. Chapter 8 3-D Prime Codes
1. 8.1 Concatenated Prime Codes
2. 8.2 Multicarrier Prime Codes
3. 8.3 Summary
19. Index

Product information

• Title: Optical Coding Theory with Prime
• Author(s): Wing C. Kwong, Guu-Chang Yang
• Release date: September 2018
• Publisher(s): CRC Press
• ISBN: 9781466567818