Algebraic Codes On Lines, Planes, And Curves: An Engineering Approach
by Richard E. Blahut /
2008 / English / PDF
5.8 MB Download
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.
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.
