Fourier-Related Transforms, Fast Algorithms and Applications - Hardcover

Ersoy, Okan K.

Hardcover

ISBN 10: 0136244122 ISBN 13: 9780136244127

Publisher: Prentice Hall, 1996

Synopsis

Hardcover book

About this title

From the Publisher

This book discusses new applications of the Fourier transform which is one of the most pervasive ideas in mathematics. It contains a useful collection of ideas, formulas, and programs.

From the Back Cover

The most comprehensive introduction to Fourier transforms and their applications.
Fourier-related transforms are of critical importance in a wide variety of scientific, engineering and technology applications. Fourier-Related Transforms, Fast Algorithms and Applications is the first in a series of three texts that will present Fourier-related transforms, topics, and applications in unprecedented depth.
This book presents a unified framework for understanding continuous-time, discrete-time and discrete Fourier-related transforms. Once readers have mastered the fundamentals of Fourier transforms and series, it also covers these and other important topics:
*One-sided and two-sided Laplace and z-transforms.

*Correspondence between Fourier-related transforms, linear vector spaces and the method of least squares.

*Applications in continuous-time and discrete-time linear time-invariant system analysis and filtering.

*Fast algorithms for discrete Fourier-related transforms, with accompanying C and Fortran programs for the number of data points equal to a power of 2, or any number of data points.

*Discrete-time convolutions.

*Discrete-time correlations.

*Toeplitz forms and their fast computations.

In the previous literature, Fourier-related transforms have been discussed primarily in terms of their complex formulations. This book gives equal weight to both complex and real-basis functions. By understanding real-basis function, practicing engineers can avoid many of the calculation problems that occur when complex-basis function formulations are used in applications such as digital filtering and signal/image processing.
This book presents many exercises and examples throughout, and also provides guidance on when to use each type of Fourier transform.
It will serve as an ideal textbook in courses involving signals, systems and signal processing, and for courses specifically intended to teach Fourier-related transforms. It will also serve as an ideal reference for professional engineers, physicists, and mathematicians.

Edition details

• Publisher: Prentice Hall
• Publication date: 1996
• ISBN 10: 0136244122
• ISBN 13: 9780136244127
• Binding: Hardcover
• Language: English
• Number of pages: 522