Adapted Wavelet Analysis: From Theory to Software

By Mladen Victor Wickerhauser

Book Overview

This detail-oriented text is intended for engineers and applied mathematicians who must write computer programs to perform wavelet and related analysis on real data. It contains an overview of mathematical prerequisites and proceeds to describe hands-on programming techniques to implement special programs for signal analysis and other applications. From the table of contents: - Mathematical Preliminaries - Programming Techniques - The Discrete Fourier Transform - Local Trigonometric Transforms - Quadrature Filters - The Discrete Wavelet Transform - Wavelet Packets - The Best Basis Algorithm - Multidimensional Library Trees - Time-Frequency Analysis - Some Applications - Solutions to Some of the Exercises - List of Symbols - Quadrature Filter Coefficients

• Format: Hardcover
• Language: English
• ISBN: 1568810415
• ISBN13: 9781568810416
• Release Date: April 1996
• Publisher: A K PETERS
• Length: 498 Pages
• Weight: 1.85 lbs.
• Dimensions: 1.4" x 6.3" x 9.3"

Customer Reviews

Good balance between theory and practice

This book provides a good balance between the mathematical theoretical foundations and the implementation of wavelet algorithms. The chapter of time-frequency analysis is specially relevant, and very hard to find in other books about the topic. The only miss is about more practical implementations of the algorithms.

Reference for implementation of transform algorithms

This is the only book i know that is focused on implementation aspects of numerical transforms. It explains quite well the practical issues that are rarely touched in digital signal processing and wavelet textbooks. It spans fourier transforms, cosine, wavelets,... It is rather self-contained, if you have problems with maths you can skip chapter one, other chapters should be quite readable by every science grad student. Be aware that this is not a transform textbook, so you should first learn a few things about numerical transforms, wavelets and subband coding before getting into this one (go to Oppenheim and Schafer for DSP, Vetterli for subband coding). A good textbook for a course on numerical transforms implementation.

*Creating* wavelets!

This is where to learn about wavelet packets, and what they can do.-- Where to learn the programming techniques that are especially adapted to wavelet algorithms, and which have proved their worth. The book actually tells you how to write a program;-- it motivates, and explains the elements step by step. It also gives the background, and offers a beautiful presentation of the essentials. It is selfcontained and a pleasure to read. It has the algorithmic approach to the discrete wavelet transform;--a topic that is hard to find elsewhere,-- at least in a systematic presentation.

not the easiest one around but well describing algorithms

This book gave me a rather hard start with very dry and short theoretical introduction but the algorithmical/discrete part is well done and allows for implementation of most of the work where many details emerge ... I was missing solutions for the exercises though