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Optical Coding Theory with Prime
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Optical Coding Theory with Prime

Optical Coding Theory with Prime

ByWing C. Kwong, Guu-Chang Yang
Edition 1st Edition
First Published 2013
eBook Published 2 May 2013
Pub. location Boca Raton
Imprint CRC Press
DOIhttps://doi.org/10.1201/b15117
Pages 381 pages
eBook ISBN 9781466567818
SubjectsEngineering & Technology, Mathematics & Statistics
KeywordsPrime Codes, Autocorrelation Peaks, Error Probabilities, Chip Position, Simultaneous Users
Get Citation

Get Citation

Kwong, W., Yang, G.C. (2013). Optical Coding Theory with Prime. Boca Raton: CRC Press, https://doi.org/10.1201/b15117
ABOUT THIS BOOK

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
chapter 1|50 pages
Fundamental Materials and Tools
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 2|38 pages
Optical Coding Schemes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 3|38 pages
1-D Asynchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 4|22 pages
1-D Synchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 5|100 pages
2-D Asynchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 6|24 pages
2-D Synchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 7|60 pages
Multilength Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 8|12 pages
3-D Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract

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
chapter 1|50 pages
Fundamental Materials and Tools
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 2|38 pages
Optical Coding Schemes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 3|38 pages
1-D Asynchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 4|22 pages
1-D Synchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 5|100 pages
2-D Asynchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 6|24 pages
2-D Synchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 7|60 pages
Multilength Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 8|12 pages
3-D Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
CONTENTS
ABOUT THIS BOOK

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
chapter 1|50 pages
Fundamental Materials and Tools
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 2|38 pages
Optical Coding Schemes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 3|38 pages
1-D Asynchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 4|22 pages
1-D Synchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 5|100 pages
2-D Asynchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 6|24 pages
2-D Synchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 7|60 pages
Multilength Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 8|12 pages
3-D Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract

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
chapter 1|50 pages
Fundamental Materials and Tools
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 2|38 pages
Optical Coding Schemes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 3|38 pages
1-D Asynchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 4|22 pages
1-D Synchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 5|100 pages
2-D Asynchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 6|24 pages
2-D Synchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 7|60 pages
Multilength Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 8|12 pages
3-D Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
ABOUT THIS BOOK
ABOUT THIS BOOK

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
chapter 1|50 pages
Fundamental Materials and Tools
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 2|38 pages
Optical Coding Schemes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 3|38 pages
1-D Asynchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 4|22 pages
1-D Synchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 5|100 pages
2-D Asynchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 6|24 pages
2-D Synchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 7|60 pages
Multilength Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 8|12 pages
3-D Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract

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
chapter 1|50 pages
Fundamental Materials and Tools
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 2|38 pages
Optical Coding Schemes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 3|38 pages
1-D Asynchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 4|22 pages
1-D Synchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 5|100 pages
2-D Asynchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 6|24 pages
2-D Synchronous Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 7|60 pages
Multilength Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
chapter 8|12 pages
3-D Prime Codes
ByWing C. Kwong, Guu-Chang Yang
View abstract
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