Optical Coding Theory with Prime  book cover
1st Edition

Optical Coding Theory with Prime

ISBN 9781466567801
Published May 2, 2013 by CRC Press
384 Pages 103 B/W Illustrations

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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).

Table of Contents

Fundamental Materials and Tools
Galois Fields
Vector Space
Matrix Theory
Hamming Distance and Weight
Correlation Functions
Cardinality Upper Bound
Markov Chain
Algebraic Tools for Performance Analysis

Optical Coding Schemes
1-D Temporal Amplitude Coding
1-D Temporal Phase Coding
1-D Spectral Phase Coding
1-D Spectral Amplitude Coding
2-D Spatial-Temporal Amplitude Coding
2-D Spectral-Temporal Amplitude Coding
Three-Dimensional Coding
Multirate and Multiple-QoS Coding
Multicode Keying and Shifted-Code Keying
Enabling Hardware Technologies
Potential Applications

1-D Asynchronous Prime Codes
Original Prime Codes
Extended Prime Codes
Generalized Prime Codes
2n Prime Codes
Optical Orthogonal Codes

1-D Synchronous Prime Codes
Synchronous Prime Codes
Synchronous Multilevel Prime Codes
Synchronous Coding Applications

2-D Asynchronous Prime Codes
Carrier-Hopping Prime Codes
Multilevel Carrier-Hopping Prime Codes
Shifted Carrier-Hopping Prime Codes
Extended Carrier-Hopping Prime Codes
Expanded Carrier-Hopping Prime Codes
Quadratic-Congruence Carrier-Hopping Prime Codes
Prime-Permuted Codes with Unipolar Codes
Prime-Permuted Codes with Bipolar Codes
Quadratic-Congruence-Permuted Codes
2-D Optical Orthogonal Codes

2-D Synchronous Prime Codes
Synchronous Original, Expanded, and Quadratic-Congruence Carrier-Hopping Prime Codes
Synchronous Multilevel Carrier-Hopping Prime Codes
Synchronous Prime-Permuted Codes

Multilength Prime Codes
Multilength Carrier-Hopping Prime Codes
Multilength Expanded Carrier-Hopping Prime Codes
Multilength Quadratic-Congruence Carrier-Hopping Prime Codes
2-D Multilength Prime-Permuted Codes
Variable-Weight Coding with Same Bit Power
Multilength 1-D Optical Orthogonal Codes

3-D Prime Codes
Concatenated Prime Codes
Multicarrier Prime Codes


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Wing C. Kwong is currently a professor in the Department of Engineering at Hofstra University, New York. He has published numerous professional articles, chaired technical sessions and served technical program committees in international conferences, and has given seminars and tutorials around the world. His research interests include optical and wireless communication systems and multiple-access networks, optical interconnection networks, and ultrafast all-optical signal processing techniques. Dr. Kwong is a senior member of the IEEE and is currently an associate editor of the IEEE Transactions on Communications. He received a NEC Graduate Fellowship awarded by the NEC Research Institute, Princeton, New Jersey, in 1991, and the Young Engineer Award from the IEEE (Long Island chapter) in 1998.

Guu-Chang Yang is currently a professor in the Department of Electrical Engineering and the Graduate Institute of Communication Engineering at National Chung Hsing University, Taiwan. His research interests include wireless and optical communication systems, modulation and signal processing techniques, and applications of CDMA. Dr. Yang is the area coordinator of the National Science Council’s Telecommunications Program (2012-2014), co-coordinator of the National Science Council’s National Networked Communication Program (2010-2013), and chairman of the IEEE Communications Society Taipei Chapter (2013-2014). He became an IEEE Fellow in 2012 for contributions to optical CDMA. He has received several awards, including the Distinguished Research Award from the National Science Council in 2004, and the Outstanding Young Electrical Engineer Award in 2003 and the Distinguished Electrical Engineering Professor Award in 2012, both from the Chinese Institute of Electrical Engineering.


"Written by two renowned world experts, this book is an authoritative, classic reference on the fields of optical coding theory and optical CDMA. The book shows how optical coding theory has evolved as optical coding system and network functionality and capacity expand over the years and [how the theory has] advanced with hardware technologies. It is a must add-on to the collection of other optical CDMA books in the market."
—Professor Ivan Glesk, University of Strathclyde, Scotland, UK

"The development of optical CDMA has follows the historical path of wireless CDMA in a way that requires that hardware technologies and coding theory advance in tandem. This book fills a vacuum in the important area of optical coding theory. In addition to covering the construction and analysis of many families of optical codes supported with comprehensive mathematical proofs, several applications extending beyond optical CDMA are also discussed in this book. This book is an authoritative text in the emerging field of optical CDMA, and will serve as an authoritative reference for researchers, engineers, and students in the field of optical CDMA."
—Paul Prucnal, Princeton University, New Jersey, USA