Description
Book SynopsisThe 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.
Trade Review"...[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)
Table of ContentsPreface.
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.
