Open AccessBook
The Fractional Fourier Transform: with Applications in Optics and Signal Processing
TLDR
The fractional Fourier transform (FFT) as discussed by the authors has been used in a variety of applications, such as matching filtering, detection, and pattern recognition, as well as signal recovery.Abstract:
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.read more
Citations
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Journal ArticleDOI
A New Class of Pseudo-Differential Operators Involving Linear Canonical Transform
TL;DR: In this article, a new class of pseudo-differential operators involving linear Canonical Transform (LCT) and some of its essential results in Schwartz space and tempered distribution space are developed.
Dissertation
Separable Inverse Problems, Blind Deconvolution, and Stray Light Correction for Extreme Ultraviolet Solar Images.
TL;DR: In this article, the authors propose a method to improve the quality of the data collected by the data collection system of the National Archives of the United States and the World Wide Web (http://www.worldwideweb.org.
Journal ArticleDOI
Finite systems, fractional Fourier transforms and their finite phase spaces
TL;DR: In this paper, the Fourier integral transform of a harmonic oscillator is described as a ring of point masses joined by springs to their equilibrium positions and to each other in the Ankara model and the Cuernavaca model.
Journal ArticleDOI
A Novel FRFT Beamformer for Rayleigh Faded Channels
Rajesh Khanna,Rajiv Saxena +1 more
TL;DR: It is shown through simulations that beamforming in fractional domain reduces BER as compared to time or frequency domain.
Journal ArticleDOI
Remote Optical Detection of the Fusion State in Laser Deep Penetration Welding
TL;DR: In this article, a technique for the determination of the fusion state of laser welded blind joints (e.g. overlap joints) by measuring the vibrations of the workpiece during the welding process is introduced.