Results 21 to 30 of about 790,476 (361)
The su(2)α Hahn oscillator and a discrete Fourier-Hahn transform [PDF]
, 2011 We define the quadratic algebra su(2)(alpha) which is a one-parameter deformation of the Lie algebra su(2) extended by a parity operator. The odd-dimensional representations of su(2) (with representation label j, a positive integer) can be extended to ...
Jafarov, Elchin +2 more
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METHOD OF OBTAINING THE SPECTRAL CHARACTERISTICS OF THE SCANNING PROBE MICROSCOPE
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2021 The article discusses methods and algorithms for digital processing and filtering when carrying out nano-measurements using a scanning probe microscope.
Mariia Kataieva, Vladimir Kvasnikov
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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
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Implementation of Discrete Fourier Transform And Orthogonal Discrete Wavelet Transform In Python
JISR on Computing, 2016 This paper presents implementation of Discrete Fourier Transform and Orthogonal Discrete Wavelet Transform in Python computer programming language. The Fourier Transform is a fundamental signal processing tool whereas the Wavelet Transform is a powerful
Tariq Javid Ali +4 more
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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
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Two-band fast Hartley transform [PDF]
, 2015 This article has been made available through the Brunel Open Access Publishing Fund.Efficient algorithms have been developed over the past 30 years for computing the forward and inverse discrete Hartley transforms (DHTs).
A.K. Nandi +10 more
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Eigenvectors of the Discrete Fourier Transform Based on the Bilinear Transform
EURASIP Journal on Advances in Signal Processing, 2010 Determining orthonormal eigenvectors of the DFT matrix, which is closer to the samples of Hermite-Gaussian functions, is crucial in the definition of the discrete fractional Fourier transform.
Serbes Ahmet, Durak-Ata Lutfiye
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Logarithm of the Discrete Fourier Transform
International Journal of Mathematics and Mathematical Sciences, 2007 The discrete Fourier transform defines a unitary matrix operator. The logarithm of this operator is computed, along with the projection maps onto its eigenspaces. A geometric interpretation of the discrete Fourier transform is also given.
Michael Aristidou, Jason Hanson
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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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