A First Course in Wavelets with Fourier AnalysisA comprehensive, self-contained treatment of Fourier analysis and wavelets—now in a new edition Through expansive coverage and easy-to-follow explanations, A First Course in Wavelets with Fourier Analysis, Second Edition provides a self-contained mathematical treatment of Fourier analysis and wavelets, while uniquely presenting signal analysis applications and problems. Essential and fundamental ideas are presented in an effort to make the book accessible to a broad audience, and, in addition, their applications to signal processing are kept at an elementary level. The book begins with an introduction to vector spaces, inner product spaces, and other preliminary topics in analysis. Subsequent chapters feature:
Applications to signal processing are provided throughout the book, most involving the filtering and compression of signals from audio or video. Some of these applications are presented first in the context of Fourier analysis and are later explored in the chapters on wavelets. New exercises introduce additional applications, and complete proofs accompany the discussion of each presented theory. Extensive appendices outline more advanced proofs and partial solutions to exercises as well as updated MATLAB routines that supplement the presented examples. A First Course in Wavelets with Fourier Analysis, Second Edition is an excellent book for courses in mathematics and engineering at the upper-undergraduate and graduate levels. It is also a valuable resource for mathematicians, signal processing engineers, and scientists who wish to learn about wavelet theory and Fourier analysis on an elementary level. |
What people are saying - Write a review
Sir,
I am doing my PhD course in IIT Hyderabad. My research work includes video processing using wavelets. First I want to know about the basics of wavelets. Our guide suggested to follow this book. I am also doing Teaching Assistant where I have allocated the subject of Wavelet Fundamentals. So please send a complimentary copy of this book to below address, which will be useful in my research work and teaching assistance.
Thank you sir.
SAMEEULLA KHAN MD
ROLL NO: EE13P1006
PHD SCHOLOR/TEACHING ASSISTANT
IIT BOYS HOSTEL
ROOM NO 545
Ordnance Factory Estate
Yeddumailaram 502205
Andhra Pradesh, INDIA
This book does a very good job of covering the basics of signal processing, and it gives the most comprehensive covering on the Haar wavelet function that I have been found. That being said, I found it a little light on explication on certain points. The exercises are well-balanced and useful, however, and for an introduction to the field for someone with little to no previous experience, I found it readable and extremely useful for getting up to speed on the subject quickly.
Contents
iii | |
Fourier Series | 2-1 |
Haar Wavelet Analysis | 2-4 |
Discrete Fourier Analysis | 2-36 |
MultiresolutionAnalysis | 5 |
The Daubechies Wavelets | 4-6 |
Other WaveletTopics | 7 |
Technical Matters | A-4 |
SolutionstoSelected Exercises | A-35 |
A-41 | |
Other editions - View all
A First Course in Wavelets with Fourier Analysis Albert Boggess,Francis J. Narcowich Limited preview - 2015 |
A First Course in Wavelets with Fourier Analysis Albert Boggess,Francis J. Narcowich Limited preview - 2009 |