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Fourier Transforms of Finite Chirps
Chirps arise in many signal processing applications. While chirps have been extensively studied as functions over both the real line and the integers, less attention has been paid to the study of chirps over finite groups.
Fickus Matthew, Casazza Peter G
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On a relation between two-dimensional Fourier integrals and series of Hankel transforms
Procedures are developed for expressing twodimensional Fourier transforms in terms of tabulated one-dimensional ...
Cornacchio J. V.; Soni, R. P.
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A hyperkähler Fourier transform
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BARTOCCI, CLAUDIO +2 more
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Efficient Algorithm for Finding Roots of Error-Locator Polynomials
A novel method for finding roots of polynomials over finite fields has been proposed. This method is based on the cyclotomic discrete Fourier transform algorithm. The improvement is achieved by using the normalized cyclic convolutions, which have a small
Sergei Valentinovich Fedorenko
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On Katugampola Fourier Transform [PDF]
The aim of this article is to introduce a new definition for the Fourier transform. This new definition will be considered as one of the generalizations of the usual (classical) Fourier transform. We employ the new Katugampola derivative to obtain some properties of the Katugampola Fourier transform and find the relation between the Katugampola Fourier
Tariq O. Salim +2 more
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Estimation of Translation, Rotation, and Scaling between Noisy Images Using the Fourier–Mellin Transform [PDF]
In this paper we focus on extended Euclidean registration of a set of noisy images. We provide an appropriate statistical model for this kind of registration problems, and a new criterion based on Fourier-type transforms is proposed to estimate the ...
Gamboa, Fabrice +2 more
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The Design of Low Complexity Low Power Pipelined Short Length Winograd Fourier Transforms [PDF]
In this paper a novel pipelining approach applicable to Winograd Fourier transforms is presented. The novel approach makes use of reconfigurable multiplier blocks to implement the real multipliers required for the transform as well as sharing the ...
Stephen Brown +11 more
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Clifford algebras, Fourier transforms and quantum mechanics [PDF]
In this review, an overview is given of several recent generalizations of the Fourier transform, related to either the Lie algebra sl_2 or the Lie superalgebra osp(1|2).
H. De Bie
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Mycobacterial 3‐methylcrotonyl‐CoA carboxylase uses a mobile biotin‐carrying domain to shuttle a carboxyl group between two catalytic sites, enabling carboxylation of 3‐methylcrotonyl‐CoA during leucine breakdown. Cryo‐electron microscopy captures the carrier at both sites and reveals an inward loop movement that may prevent futile rebinding to the ...
Ajit Yadav +2 more
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Novel Fourier quadrature transforms and analytic signal representations for nonlinear and non-stationary time-series analysis [PDF]
The Hilbert transform (HT) and associated Gabor analytic signal (GAS) representation are well known and widely used mathematical formulations for modelling and analysis of signals in various applications.
Pushpendra Singh
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