Optical Coding Theory with Prime (Hardcover)

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).

儘管有幾本書涵蓋了無線通信的編碼理論和光學CDMA的硬體技術和編碼技術，但直到現在還沒有一本專門致力於光學編碼理論的書籍。《Optical Coding Theory with Prime》由該領域的知名專家撰寫，將光學編碼理論的基礎和發展集結在一本書中，重點介紹了一系列的質數編碼，並附帶介紹了幾個非質數編碼。該書還探討了編碼式光學系統和網絡的潛在應用。

作者們使用定理證明的方法，將理論分解成易於理解的形式，讓讀者能夠理解主要內容，而不需要搜索繁瑣的證明。該書從理解和應用光學編碼理論所需的數學工具開始，從Galois場和矩陣到高斯和組合分析工具。通過豐富的例子，作者們展示了如何構建和分析光學編碼，並詳細介紹了它們在各種應用中的性能。該書還研究了一維和二維非同步和同步、多長度和三維質數編碼以及一些非質數編碼。

先決條件包括對線性代數和編碼理論的基本知識，以及對概率和通信理論的基礎。該書借鑒了作者們廣泛的研究成果，提供了一本權威的光學編碼理論參考書。此外，它還提供了關於理論和光學編碼的實用知識，以幫助讀者設計基於編碼的光學系統和網絡。

有關光學CDMA技術方面的更多信息，請參閱《Optical Code Division Multiple Access: Fundamentals and Applications》（CRC Press 2005）。