Fourier and Wavelet Signal Processing by Martin Vetterli et al.
Fourier and Wavelet Signal Processing - Table of Contents
1. Filter Banks: Building Blocks of Time-Frequency Expansions
2. Local Fourier Bases on Sequences
3. Wavelet Bases on Sequences
4. Local Fourier and Wavelet Frames on Sequences
5. Local Fourier Transforms, Frames, and Bases on Functions
6. Wavelet Bases, Frames, and Transforms on Functions
7. Approximation, Estimation, and Compression
What You Will Learn in Fourier and Wavelet Signal Processing
"Fourier and Wavelet Signal Processing" by Martin Vetterli, Jelena Kovacevic, and Vivek K. Goyal is a comprehensive guide to modern "signal processing" techniques. The book explains both "Fourier analysis" and "wavelet transforms", showing how these tools are used to represent, analyze, and manipulate signals. It emphasizes understanding the mathematical foundations while linking them to practical computation and applications, helping readers see how signals can be efficiently represented in both frequency and time-frequency domains.
The text covers essential topics including "filter banks", multiresolution analysis, and structured signal representations, illustrating how "local features" and global characteristics of signals can be captured simultaneously. Rigorous mathematical concepts, such as Hilbert spaces and basis constructions, are explained clearly and paired with algorithmic techniques, making it easier to understand how theory translates into practice. The book is filled with examples and exercises that reinforce learning and help build intuition about signal structure and processing methods.
Designed for advanced students, researchers, and professionals in engineering, applied mathematics, and computer science, "Fourier and Wavelet Signal Processing" bridges classical and modern approaches. By combining "Fourier analysis", "wavelet transforms", and practical signal processing strategies, it equips readers with the skills to analyze, model, and process signals effectively in modern applications such as communications, multimedia, and data analysis.
Book Details & Specifications
Title:
Fourier and Wavelet Signal Processing by Martin Vetterli et al.
Publisher:
FourierAndWavelets
Year:
2013
Pages:
294
Type:
PDF
Language:
English
ISBN-10 #:
3540234330
ISBN-13 #:
978-3540234333
License:
CC BY-NC-ND 3.0
Amazon:
Amazon
About the Author: Jelena Kovacevic, Vivek K Goyal and Martin Vetterli
The author
Jelena Kovacevic, Vivek K Goyal and Martin Vetterli
are leading experts in "signal processing" and applied mathematics. Vetterli is renowned for wavelets and sampling theory, Kovacevic specializes in multiresolution techniques and filter banks, and Goyal focuses on computational imaging and information-theoretic signal analysis.
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