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Quantum Weighted Fractional-Order Transform
Quantum Fourier transform (QFT) transformation plays a very important role in the design of many quantum algorithms. Fractional Fourier transform (FRFT), as an extension of the Fourier transform, is particularly important due to the design of its quantum
Tieyu Zhao, Yingying Chi
doaj +1 more source
Sampling and series expansion theorems for fractional Fourier and other transforms [PDF]
Cataloged from PDF version of article.We present muchbriefer and more direct and transparent derivations of some sampling and series expansion relations for fractional Fourier and other transforms.
Candan, C., Ozaktas, H. M.
core +1 more source
Fractional Fourier transform as a tool for analyzing beam propagation and spherical mirror resonators [PDF]
Cataloged from PDF version of article.The complex amplitude distributions on two spherical reference surfaces of given curvature and spacing are simply related by a fractional Fourier transform.
Mendlovic, D., Ozaktas, H. M.
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Anomaly detection (AD) is one of the most important tasks in hyperspectral image (HSI) processing. Most of the traditional AD methods fail to take the advantage of rich spatial information of HSIs and suffer the problem of noise contamination.
C. Zhao, Chuang Li, Shou Feng
semanticscholar +1 more source
In this article, we propose a new weak maneuvering target detection method in a sea environment with a Radon-fractional Fourier transform (RFrFT) canceller, which can efficiently suppress the sea clutter and detect targets with low computations.
Chang Gao, R. Tao, Xuejing Kang
semanticscholar +1 more source
Novel Fractional Wavelet Transform with Closed-Form Expression [PDF]
yesA new wavelet transform (WT) is introduced based on the fractional properties of the traditional Fourier transform. The new wavelet follows from the fractional Fourier order which uniquely identifies the representation of an input function in a ...
Abd-Alhameed, Raed A. +4 more
core +2 more sources
Holographic interferometry and the fractional Fourier transformation [PDF]
The fractional Fourier transform (FRT) is shown to be of potential use in analyzing the motion of a surface by use of holographic interferometry. The extra degree of freedom made available by the use of the FRT allows information regarding both translational and tilting motion to be obtained in an efficient manner.
Sheridan, John T., Patten, Robert
openaire +4 more sources
Repeated fractional Fourier domain filtering is equivalent to repeated time and frequency domain filtering [PDF]
Cataloged from PDF version of article.Any system consisting of a sequence of multiplicative filters inserted between several fractional Fourier transform stages, is equivalent to a system composed of an appropriately chosen sequence of multiplicative ...
Ozaktas, H. M.
core +2 more sources
Enhanced monopulse radar tracking using optimum fractional Fourier transform [PDF]
Conventional monopulse radar processors are used to track a target that appears in the look direction beam width. The distortion produced when additional targets appear in the look direction beam width can cause severe erroneous outcomes from the ...
Elgamel, S. A., Soraghan, J.
core +1 more source
Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures
The discrete Fourier transform is considered as one of the most powerful tools in digital signal processing, which enable us to find the spectrum of finite-duration signals.
Hari M. Srivastava +3 more
doaj +1 more source

