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The Fractional Fourier Transform: with Applications in Optics and Signal Processing

The Fractional Fourier Transform: with Applications in Optics and Signal Processing

Haldun M. Ozaktas, Zeev Zalevsky, M. Alper Kutay

ISBN: 978-0-471-96346-2

Feb 2001

532 pages

Select type: Hardcover

In Stock

$266.00

Description

The discovery of the Fractional Fourier Transform and its role in optics and data management provides an elegant mathematical framework within which to discuss diffraction and other fundamental aspects of optical systems. This book explains how the fractional Fourier transform has allowed the generalization of the Fourier transform and the notion of the frequency transform. It will serve as the standard reference on Fourier transforms for many years to come.
Preface.

Acknowledgments.

Introduction.

Signals, Systems, and Transformations.

Wigner Distributions and Linear Canonical Transforms.

The Fractional Fourier Transform.

Time-Order and Space-Order Representations.

The Discrete Fractional Fourier Transform.

Optical Signals and Systems.

Phase-Space Optics.

The Fractional Fourier Transform in Optics.

Applications of the Fractional Fourier Transform to Filtering, Estimation, and Signal Recovery.

Applications of the Fractional Fourier Transform to Matched Filtering, Detection, and Pattern Recognition.

Bibliography on the Fractional Fourier Transform.

Other Cited Works.

Credits.

Index.
"...[the authors] explain the basic concepts from various perspectives and survey its application in two areas where it is widely used." (SciTech Book News, Vol. 25, No. 4, December 2001)