This book presents a thorough introduction to the mathematical foundations of signal and image processing using Fourier and Wavelet Transforms.
The aim of this book, together with its predecessor Foundations of Signal Processing ©2012, is to provide a set of tools for users of state-of-the-art signal processing technology and a solid foundation for those hoping to advance the theory and practice of signal processing.
Many of the results and techniques presented here, while rooted in classic Fourier techniques for signal representation, first appeared during a flurry of activity in the 1980s and 1990s. New constructions for local Fourier transforms and orthonormal wavelet bases during that period were motivated both by theoretical interest and by applications, in particular in multimedia communications. New bases with specified time–frequency behavior were found, with impact well beyond the original fields of application. Areas as diverse as computer graphics and numerical analysis embraced some of the new constructions
The aim of this book, together with its predecessor Foundations of Signal Processing ©2012, is to provide a set of tools for users of state-of-the-art signal processing technology and a solid foundation for those hoping to advance the theory and practice of signal processing.
Many of the results and techniques presented here, while rooted in classic Fourier techniques for signal representation, first appeared during a flurry of activity in the 1980s and 1990s. New constructions for local Fourier transforms and orthonormal wavelet bases during that period were motivated both by theoretical interest and by applications, in particular in multimedia communications. New bases with specified time–frequency behavior were found, with impact well beyond the original fields of application. Areas as diverse as computer graphics and numerical analysis embraced some of the new constructions
Title Fourier and Wavelet Signal Processing
Author(s) Martin Vetterli, Jelena Kovacevic, and Vivek K Goyal
Publisher: FourierAndWavelets.org (March 22, 2012)
Language: English
eBook: http://www.fourierandwavelets.org/SPFWR_a3.1_2012.pdf
Author(s) Martin Vetterli, Jelena Kovacevic, and Vivek K Goyal
Publisher: FourierAndWavelets.org (March 22, 2012)
Language: English
eBook: http://www.fourierandwavelets.org/SPFWR_a3.1_2012.pdf
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