Discrete Fourier And Wavelet Transforms: An Introduction Through Linear Algebra With Applications To Signal Processing

Roe W Goodman

ISBN 10: 9814725773 / ISBN 13: 9789814725774

Published by World Scientific Publishing Co Pte Ltd, 2016

New Book. Shipped from UK. Established seller since 2000. Seller Inventory # CX-9789814725774

Synopsis:

"This book is suitable as a textbook for an introductory undergraduate mathematics course on discrete Fourier and wavelet transforms for students with background in calculus and linear algebra. The particular strength of this book is its accessibility to students with no background in analysis. The exercises and computer explorations provide the reader with many opportunities for active learning. Studying from this text will also help students strengthen their background in linear algebra." Mathematical Association of America This textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra, without assuming prior knowledge of signal processing or advanced analysis. It explains how to use the Fourier matrix to extract frequency information from a digital signal and how to use circulant matrices to emphasize selected frequency ranges. It introduces discrete wavelet transforms for digital signals through the lifting method and illustrates through examples and computer explorations how these transforms are used in signal and image processing. Then the general theory of discrete wavelet transforms is developed via the matrix algebra of two-channel filter banks. Finally, wavelet transforms for analog signals are constructed based on filter bank results already presented, and the mathematical framework of multiresolution analysis is examined.

About the Author: Roe W Goodman received his PhD in Mathematics from MIT in 1963, where he was a member of the mathematics faculty from 1964-1971. Since 1971, he has been on the faculty of the Department of Mathematics of Rutgers University and is now Distinguished Professor Emeritus. He is author or coauthor of more than 40 published articles on differential operators, representation theory, and harmonic analysis on Lie groups. He has published a research monograph on analysis on Lie groups and an undergraduate textbook on stochastic models, and he is coauthor of two advanced graduate textbooks on Lie groups and representation theory. He received two outstanding teacher awards from Rutgers University during more than four decades of teaching a wide range of undergraduate and graduate mathematics courses.

Bibliographic Details

Title: Discrete Fourier And Wavelet Transforms: An ...
Publisher: World Scientific Publishing Co Pte Ltd
Publication Date: 2016
Binding: PAP
Condition: New