Items related to Finite Field Wavelet Transforms
Synopsis
"Finite-Field Wavelet Transforms with Applications in Cryptology and Coding" is ideal for graduate students, research engineers, and practicing professionals.
This text explores wavelets and filter banks over finite-fields and their intersection with error control coding and data encryption. It develops the "theory of wavelet transforms over finite-fields," which provides a general wavelet decomposition of sequences defined over finite-fields. Along with wavelet theory on finite-fields, this work introduces the first application of this theory to error correcting codes and data security. It also introduces a finite-field wavelet based public key encryption technique.
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About the Author
Faramarz Fekri received the B.Sc. and M.Sc. degrees from Sharif University of Technology, Tehran, Iran, in 1990 and 1993, respectively. From 1995 to 1996, he was with the Telecommunication Research Laboratories (TRLabs), Calgary, Canada. There, he worked on Multicarrier Direct Sequence Spread Spectrum for Mobile Communication systems and was a recipient of the TRLabs' distinction award. In Fall of 1996, he started his Ph.D. studies at Georgia Tech. and received the Ph.D. degree in 2000. Since 2000, Dr. Fekri has been with the faculty of the School of ECE at the Georgia Institute of Technology, where he is now a full professor. He is a member of the Georgia Tech Broadband Institute (GTBI), the Center for Signal and Image Processing (CSIP), and the Georgia Tech Information Security Center (GTISC).
Farshid Delgosha received the Ph.D. degree in Electrical and Computer Engineering from Georgia Institute of Technology, Atlanta, GA, USA, in 2007. The focus of his Ph.D. dissertation was in wavelet transform over finite fields, algebraic cryptography, and security aspects of wireless sensor networks. In 2006, he received the outstanding research award from the Center for Signal and Image Processing (CSIP), School of ECE, Georgia Institute of Technology. Since 2007, he has been with the faculty of Electrical and Computer Engineering Department at the New York Institute of Technology. He has been an IEEE member since 2002.
From the Back Cover
This book explores wavelets and filter banks over finite fields and their intersection with error control coding and data encryption. It develops the “theory of wavelet transforms over finite fields,” which provides a general wavelet decomposition of sequences defined over finite fields—an approach that has a rich history in signal processing for the representation of real-valued signals, but has been lacking in the finite field case. Along with wavelet theory on finite fields, this work includes coverage of the first application of this theory to error correcting codes and data security. It also introduces a finite-field wavelet based public key encryption technique. Other topics covered are Cryptology, reducing coding complexity and satisfying low computing requirements. For practicing professionals in the field of electrical engineering and research engineering.
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