I am a practicing signal processing engineer and have been working with wavelets since they were first invented. My applications have been in modulation (US Robotics), audio/image/video processing/compression/recognition, hybrid algorithms, predictive algorithms, flow prediction for a magnetically levitated artificial heart (spin-off from the University of Utah), x-ray florescence spectroscopy (XRF) detectors, and wavelet/neural network algorithms for gas chromatography.
The science of wavelets was invented by mathematicians -- so, all of the early books were written by mathematicians and extremely difficult to navigate. The power of these new wavelet methods beyond Fourier Transforms was obvious, but quite difficult to understand and use.
I have a significant collection of books on wavelets from most of the mathematicians. When I received Lee Fugal's book, I was very pleased to see something that was written from a practical point of view. I found the book easy to read and understand, and even with a pretty heavy background in wavelets, I learned alot. Also as a MatLAB user, it was very nice to find useful code examples along with wavelet toolbox functions explained in detail.
Thank you Lee Fugal for taking all the time to write this book. Everything else on my bookshelf is gathering dust -- Lee's book, 'Conceptual Wavelets' is what I use every day in my work.
Best regards,
W. Kurt Dobson, CEO
Sigma Technology Holdings
Salt Lake City, UT
Author(s): D. Lee Fugal
Edition: 1st ed
Publisher: Space & Signals Technical Pub
Year: 2009
Language: English
Pages: 277
City: San Diego, Calif
1 - Preview of Wavelets, Wavelet Filters, and Wavelet Transforms......Page 16
1.1 - What is a Wavelet?......Page 17
2 - The Continuous Wavelet Transform (CWT) Step-by-Step......Page 46
3 - The Undecimated Discrete Wavelet Transform (UDWT) Step-by-Step......Page 58
4 - The Conventional (Decimated) DWT Step-by-Step......Page 74
5 - Obtaining Discrete Wavelet Filters from "Crude" Wavelet Equations......Page 94
6 - Obtaining Variable Length Filters from Basis Fixed Length Filters......Page 116
7 - Comparison of the Major Types of Wavelet Transforms......Page 136
8 - PRQMF and Halfband Filters and How They Are Related......Page 156
9 - Highlighting Additional Properties by Using "Fake" Wavelets......Page 184
10 - Specific Properties and Applications of Wavelet Families......Page 202