Fourier And Wavelet Signal Processing

Fourier And Wavelet Signal Processing

This book presents, to a broad audience, mathematical tools and algorithms for signal representation. It comprehensively covers both classical Fourier techniques and newer basis constructions from filter banks and multiresolution analysis-wavelets.

Publication date: 01 Oct 2011

ISBN-10: n/a

ISBN-13: n/a

Paperback: 294 pages

Views: 18,126

Type: N/A

Publisher: n/a

License: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported

Post time: 13 Dec 2011 06:26:33

Fourier And Wavelet Signal Processing

Fourier And Wavelet Signal Processing This book presents, to a broad audience, mathematical tools and algorithms for signal representation. It comprehensively covers both classical Fourier techniques and newer basis constructions from filter banks and multiresolution analysis-wavelets.
Tag(s): Signal Processing
Publication date: 01 Oct 2011
ISBN-10: n/a
ISBN-13: n/a
Paperback: 294 pages
Views: 18,126
Document Type: N/A
Publisher: n/a
License: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported
Post time: 13 Dec 2011 06:26:33
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Excerpts from the Preface:
Martin Vetterli wrote:The aim of this book 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—no surprise given the pervasive role of Fourier analysis in science and engineering.

Now that the dust has settled, some of what was new and esoteric is now fundamental. Our motivation is to bring these new fundamentals to a broader audience to further expand their impact. We thus provide an integrated view of classical Fourier analysis of signals and systems alongside structured representations with time–frequency locality and their myriad of applications.


More information is available at the book website.




About The Author(s)


Dr. Goyal  joined the Department of Electrical Engineering and Computer Science of the Massachusetts Institute of Technology in 2004 and currently holds an Esther and Harold E. Edgerton chair.  His research interests include source coding theory, quantization, sampling, and computational imaging.

Vivek K Goyal

Dr. Goyal  joined the Department of Electrical Engineering and Computer Science of the Massachusetts Institute of Technology in 2004 and currently holds an Esther and Harold E. Edgerton chair.  His research interests include source coding theory, quantization, sampling, and computational imaging.


Jelena Kovačević is the David Edward Schramm University Professor and Head of Electrical and Computer Engineering and Professor of Biomedical Engineering at Carnegie Mellon University. Her research interests include biomedical imaging as well as multiresolution techniques such as wavelets and frames.

Jelena Kovačević

Jelena Kovačević is the David Edward Schramm University Professor and Head of Electrical and Computer Engineering and Professor of Biomedical Engineering at Carnegie Mellon University. Her research interests include biomedical imaging as well as multiresolution techniques such as wavelets and frames.


Martin Vetterli is a professor in the Audiovisual Communications Laboratory at École Polytechnique Fédérale De Lausanne (EPFL). His fields of expertise include theory of wavelets and their applications, inverse problems and sparsity, signal processing for communications, and sensor networks.

Martin Vetterli

Martin Vetterli is a professor in the Audiovisual Communications Laboratory at École Polytechnique Fédérale De Lausanne (EPFL). His fields of expertise include theory of wavelets and their applications, inverse problems and sparsity, signal processing for communications, and sensor networks.


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