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

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9780471963462: The Fractional Fourier Transform: with Applications in Optics and Signal Processing
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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.

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The Fractional Fourier Transform provide a comprehensive and widelyaccessible account of the subject covering both theory andapplications. As a generalisation of the Fourier transform, thefractional Fourier transform is richer in theory and more flexiblein applications but not more costly in implementation. This textconsolidates knowledge on the transform and illustrates itsapplication in diverse contexts. Applications studied so far fallmostly in the areas in optics and wave propagation and signalprocessing, including optical information processing, beamsynthesis, phase retrieval, perspective projections, shift-variantfiltering, image restoration, pattern recognition, tomography, datacompression and time-frequency representations.
* Background material introduces time-frequency analysisemphasizing the Wigner distribution, ambiguity function andcanonical transforms.
* Chapter on phase-space optics employs matrix algebra in a unifiedmanner for both wave and geometrical optics, leading to manyimportant results such as those on general Fourier transform planesand optical invariants.
* Separate discussion of optics for readers with no interest inoptics.
Unifying knowledge from the mathematics, optics and signalprocessing literature in a manner accessible to a broad audience,this book is of interest to researchers, engineers, and seniorundergraduate and graduate students in electrical engineering,physics, and mathematics.

About the Author:

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

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Haldun M. Ozaktas, Zeev Zalevsky, M. Alper Kutay
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Book Description John Wiley and Sons Ltd, United Kingdom, 2001. Hardback. Condition: New. 1. Auflage. Language: English. Brand new Book. 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. Seller Inventory # AAH9780471963462

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Book Description John Wiley and Sons Ltd, United Kingdom, 2001. Hardback. Condition: New. 1. Auflage. Language: English. Brand new Book. 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. Seller Inventory # AAH9780471963462

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