Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets / Edition 1

by Claude Gasquet

Overview

Scientists and engineers are confronted by the necessity of using classical mathematics such as Fourier transforms and convolution in all areas of modeling. This book focuses on Fourier analysis, filters, and signal analysis with two objectives: providing a rigorous exploration of the important applications of analysis leading to numerical calculations, and conveying a theory in which the well-known formulae find their justification. 99 illus.

Product Details

ISBN-13:	2900387984857
Publisher:	Springer New York
Publication date:	11/06/1998
Series:	Texts in Applied Mathematics
Edition description:	1999
Pages:	442
Product dimensions:	6.50(w) x 1.50(h) x 9.50(d)

Table of Contents

Signals and Systems.- Periodic Signals.- The Discrete Fourier Transform and Numerical Computations.- The Lebesgue Integral.- Spaces.- Convolution and the Fourier Transform of Functions.- Analog Filters.- Distributions.- Convolution and the Fourier Transform of Distributions.- Filters and Distributions.- Sampling and Discrete Filters.- Current Trends: Time-Frequency Analysis.- References.

Editorial Reviews

From the reviews:

BULLETIN OF MATHEMATICS BOOKS

"This book should have wide appeal, from those who are just getting into the area and wish to learn mathematical foundations and applications to those who are already experienced and wish to have a reference that provides a mathematically rigorous coverage of the state of the art…The coverage is thorough but not overwhelming, perhaps because the chapters are divided into lessons, allowing the reader a chance to pause and think. The authors work clearly to impart an understanding of the theory and applications, and not just offer an encyclopedic tome."

From the Publisher