The Fractional Fourier Transform
with Applications in Optics and Signal Processing

Haldun M. Ozaktas (Author), Zeev Zalevsky (Author), M. Alper Kutay (Author)

9780471963462, Wiley

Hardback, published 2 January 2001

536 pages
25.1 x 17.1 x 3.3 cm, 1.134 kg

"...[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)

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)

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.

Subject Areas: Electronics & communications engineering [TJ]