The Fractional Fourier Transform

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.

ISBN	0471963461	Pages	532
ISBN13	9780471963462 (What's this?)	Volumes	1
Publisher	John Wiley and Sons Ltd	Weight (grammes)	1134
Imprint	John Wiley & Sons Ltd	Published in	Chichester
Format	Hardback	Series title	Wiley Series in Pure and Applied Optics
Publication date	02 Jan 2001	Height (mm)	254
Library of Congress	QC20.7.F67	Width (mm)	179
DEWEY	621.36701515723	Spine width (mm)	36
DEWEY edition	DC21	Academic level	Undergraduate, Postgraduate, Professional / Scholarly

	Preface
	Acknowledgments
1	Introduction	1
2	Signals, Systems, and Transformations	7
3	Wigner Distributions and Linear Canonical Transforms	63
4	The Fractional Fourier Transform	117
5	Time-Order and Space-Order Representations	187
6	The Discrete Fractional Fourier Transform	201
7	Optical Signals and Systems	223
8	Phase-Space Optics	265
9	The Fractional Fourier Transform in Optics	319
10	Applications of the Fractional Fourier Transform to Filtering, Estimation, and Signal Recovery	387
11	Applications of the Fractional Fourier Transform to Matched Filtering, Detection, and Pattern Recognition	443
	Bibliography on the Fractional Fourier Transform	467
	Other Cited Works	485
	Credits	497
	Index	499

"...[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)

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