Results 21 to 30 of about 36,170 (260)

Coherent Dynamics of Quantum Systems with Non-Uniform Fourier Space Excited by Laser Radiation

Zanco Journal of Pure and Applied Sciences, 2022
The algorithm is presented to solve dynamical equations for excitation of molecular models with multiple energy levels. It uses only discrete structures: discrete orthogonal polynomials constructed specially in Fourier space of the probability amplitudes,
Sary Banjak , Vadim Savva
doaj   +1 more source

Four Particular Cases of the Fourier Transform

Mathematics, 2018
In previous studies we used Laurent Schwartz’ theory of distributions to rigorously introduce discretizations and periodizations on tempered distributions.
Jens V. Fischer
doaj   +1 more source

Discrete two dimensional Fourier transform in polar coordinates part II: numerical computation and approximation of the continuous transform [PDF]

PeerJ Computer Science, 2020
The theory of the continuous two-dimensional (2D) Fourier Transform in polar coordinates has been recently developed but no discrete counterpart exists to date.
Xueyang Yao, Natalie Baddour
doaj   +2 more sources

Uncertainty Relation for the Discrete Fourier Transform [PDF]

Physical Review Letters, 2008
We derive an uncertainty relation for two unitary operators which obey a commutation relation of the form UV=exp[i phi] VU. Its most important application is to constrain how much a quantum state can be localised simultaneously in two mutually unbiased bases related by a Discrete Fourier Transform.
Massar, Serge, Spindel, Philippe
openaire   +6 more sources

Matlab Code for the Discrete Hankel Transform

Journal of Open Research Software, 2017
Previous definitions of a Discrete Hankel Transform (DHT) have focused on methods to approximate the continuous Hankel integral transform without regard for the properties of the DHT itself.
Natalie Baddour, Ugo Chouinard
doaj   +1 more source

The Discrete Fourier Transform Over the Binary Finite Field

IEEE Access, 2023
The novel methods for binary discrete Fourier transform (DFT) computation over the finite field have been proposed. The methods are based on a binary trace calculation over the finite field and use the cyclotomic DFT.
Sergei Valentinovich Fedorenko
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Generalizing the discrete fourier transform

Discrete Mathematics, 1985
The author defines the generalized discrete Fourier transform (GDFT (\({\mathbb{F}}G))\) as being the mapping \(\sigma_ G: {\mathbb{F}}G\to A_ 1\oplus...\oplus A_ s\) which decomposes the semisimple group algebra \({\mathbb{F}}G\) into simple Wedderburn components \(A_ i\), \(i=1,...,s\).
openaire   +2 more sources

FPGA Realization of the Observer-Based Sliding Discrete Fourier Transform

IEEE Access, 2022
Discrete Fourier transform (DFT) is a widely used method of signal analysis in digital signal processing. The DFT converts a signal from time domain to frequency domain for further processing.
Peter Plesznik, Zsolt Kollar, Daejin Park   +2 more
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A Discrete Fourier-Cosine Transform Chip [PDF]

IEEE Journal on Selected Areas in Communications, 1986
An 8-point Fourier-cosine transform chip designed for a data rate of 100 Mbits/s is described. The top-down design is presented step by step, including algorithm modification for VLSI suitability, architectural choices, testing overhead, internal precision assignments, mask generation, and finally, verification of the layout.
Martin Vetterli, Adriaan Ligtenberg
openaire   +1 more source

Two-Dimensional Discrete Coupled Fractional Fourier Transform (DCFrFT)

Fractal and Fractional
The fractional Fourier transform is critical in signal processing and supports many applications. Signal processing is one notable application. Implementing the fractional Fourier transform requires discrete versions.
Asma Elshamy, Zeinab S. I. Mansour, Ahmed Zayed   +2 more
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