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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Proceedings ArticleDOI
A Time-Fractional Fourier Joint Representation-Based Parameter Estimation Method for Chirp/Frequency Hopping Spread Spectrum Signal
Wei Zhang,Ran Tao +1 more
TL;DR: In this article, a parameter estimation technique based on the short-time fractional Fourier transform (STFRFT) for Chirp /Frequency Hopping (Chirp/FH) spread spectrum signal is proposed.
Journal Article
Image Compression Algorithm Using Two Dimensional Discrete Cosine Transform
Vivek Arya,Jugmendra Singh +1 more
TL;DR: In this proposed work the two dimensional discrete cosine transform is used for image compression and the performance of proposed technique over existing technique is superior.
Journal ArticleDOI
Graph Signal Processing: Vertex Multiplication
Aykut Koc,Yigit E. Bayiz +1 more
TL;DR: Graph domain extension of differentiation and graph Fourier transform (GFT) is defined such that it shows Fourier duality that differentiation and CM operations are duals of each other under Fourier transformation (FT).
Proceedings ArticleDOI
Simulating paraxial optical systems using the linear canonical transform: properties, issues and applications
TL;DR: Property of the linear canonical transform are examined analytically, including how the support and bandwidth of the signal are related to transform parameters, a review of sampling issues and some new proposals in this area.