The Fractional Fourier Transform
With Applications in Optics and Signal Processing
Wiley Series in Pure and Applied Optics
1. Auflage Januar 2001
XVIII, 514 Seiten, Hardcover
Wiley & Sons Ltd
Kurzbeschreibung
Die Fraktionale Fourier-Transformation bietet ein elegantes mathematisches Fundament zur Diskussion der Beugung und anderer grundlegender Eigenschaften optischer Systeme. In diesem Buch erläutern die Entdecker ihre Methode einem größeren Publikum mit dem Ziel, die Entwicklung neuer Anwendungen zu fördern. Beschrieben werden auch Studien zur Fresnelschen Beugung, zur Ausbreitung optischer Strahlen, zu Resonatoren aus sphärischen Spiegeln und zur Signaldetektion. (02/00)
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.
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.
Zeev Zalensky Tel Aviv University, Tel Aviv, Israel
M. Alper Kutay TÜBTAK-UEKAE, Ankara, Turkey
