Algebraic Codes on Lines, Planes, and Curves: An Engineering Approach by Richard E. Blahut (PDF)

Description

Algebraic geometry is often employed to encode and decode signals transmitted in communication systems. This book describes the fundamental principles of algebraic coding theory from the perspective of an engineer, discussing a number of applications in communications and signal processing. The principal concept is that of using algebraic curves over finite fields to construct error-correcting codes. The most recent developments are presented including the theory of codes on curves, without the use of detailed mathematics, substituting the intense theory of algebraic geometry with Fourier transform where possible. The author describes the codes and corresponding decoding algorithms in a manner that allows the reader to evaluate these codes against practical applications, or to help with the design of encoders and decoders. This book is relevant to practicing communication engineers and those involved in the design of new communication systems, as well as graduate students and researchers in electrical engineering.

User’s Reviews

Editorial Reviews: Review “… a rich, detailed, but fundamentally elementary take on material previously available only to specialists… will be valuable for academic libraries.” D.V. Feldman, University of New Hampshire for Choice Magazine Book Description Advanced treatment of algebraic coding theory and its application in communications and signal processing, from an engineering perspective. About the Author Richard E. Blahut is Head of the Department of Electrical and Computer Engineering at the University of Illinois, Urbana Champaign, where he is also a professor. He is a Fellow of the IEEE and the recipient of many awards including the IEEE Alexander Graham Bell Medal (1998), the Tau Beta Pi Daniel C. Drucker Eminent Faculty Award, and the IEEE Millennium Medal. He was named Fellow of the IBM Corporation in 1980, where he worked for over 30 years, and was elected to the National Academy of Engineering in 1990. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The title says Engineering, but the reader should be warned, the text is still very mathematical. It gives definitions, theorems and proofs at a level well suited for the maths major. The discussion goes deeply into the theory of codes, like the workings of a Reed-Solomon code, or the idea of cyclic codes.Sections however are clearly meant for the electrical engineer who might, say, be designing a DSP chip. We see how some algorithms can be structured in a systolic or pipelined manner, that lends itself naturally to efficient implementation on a chip.

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