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Radar matched filtering using the fractional fourier transform [PDF]
, 2010 -A matched filter is the optimal linear filter for maximizing the signal to noise ratio (SNR) in the presence of additive noise. Matched filters are commonly used in radar systems where the transmitted signal is known and may be used as a replica to be ...
Clemente, Carmine +2 more
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The Fractional Fourier Transform and Harmonic Oscillation [PDF]
Nonlinear Dynamics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kutay M.A., Ozaktas H.M.
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Quantum Weighted Fractional-Order Transform
Fractal and Fractional, 2023 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
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Self Fourier functions and fractional Fourier transforms [PDF]
Optics Communications, 1993 The Fourier transform is perhaps the most important analytical tool in wave optics. Hence Fourier-related concepts are likely to have an important on optics. We will likely recall two novel concepts and then show how they are interrelated. A self-Fourier function (SFF) [1,2] is a function whose Fourier transform is identical to itself.
Mendlovic, D. +2 more
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Sampling and series expansion theorems for fractional Fourier and other transforms [PDF]
, 2003 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.
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Computation of the fractional Fourier transform
Applied and Computational Harmonic Analysis, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bultheel, Adhemar +1 more
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On fractional Fourier transform moments [PDF]
IEEE Signal Processing Letters, 2000 Based on the relation between the ambiguity function represented in a quasi-polar coordinate system and the fractional power spectra, the fractional Fourier transform moments are introduced. Important equalities for the global second-order fractional Fourier transform moments are derived and their applications for signal analysis are discussed.
MJ Martin Bastiaans, Tatiana Alieva
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Fractal and Fractional, 2022 In this paper, we establish two approximation theorems for the multidimensional fractional Fourier transform via appropriate convolutions. As applications, we study the boundary and initial problems of the Laplace and heat equations with chirp functions.
Yinuo Yang +3 more
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Fractional Fourier transform as a tool for analyzing beam propagation and spherical mirror resonators [PDF]
, 1994 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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The discrete fractional Fourier transformation [PDF]
Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96), 2002 Based on the fractional Fourier transformation of sampled periodic functions, the discrete form of the fractional Fourier transformation is obtained. It is found that for a certain dense set of fractional orders it is possible to define a discrete transformation. Also, for its efficient computation a fast algorithm, which has the same complexity as the
Arıkan, Orhan +3 more
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