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The Fractional Fourier Transform - Haldun M. Ozaktas, Zeev Zalevsky, M. Alper Kutay

The Fractional Fourier Transform

with Applications in Optics and Signal Processing
Buch | Hardcover
536 Seiten
2001
John Wiley & Sons Inc (Verlag)
978-0-471-96346-2 (ISBN)
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The discovery of the Fractional Fourier Transform and its role in optics provides an elegant mathematical framework within which to discuss diffraction and other fundamental aspects of optical systems. Easily-accessible, the reference work will serve as the standard reference on Fourier Transforms for many years to come.
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.

Haldun M. Ozaktas Bilkent University, Ankara, Turkey Zeev Zalensky Tel Aviv University, Tel Aviv, Israel M. Alper Kutay TÜBTAK-UEKAE, Ankara, Turkey

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.

Erscheint lt. Verlag 2.1.2001
Reihe/Serie Wiley Series in Pure and Applied Optics
Verlagsort New York
Sprache englisch
Maße 171 x 251 mm
Gewicht 1134 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Naturwissenschaften Physik / Astronomie Optik
Technik Elektrotechnik / Energietechnik
ISBN-10 0-471-96346-1 / 0471963461
ISBN-13 978-0-471-96346-2 / 9780471963462
Zustand Neuware
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