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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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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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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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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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
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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 +2 more
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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
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Celestial Spectrum Velocimetry With Non-Linear Fourier Phase Shift and Its CRLB
IEEE Access, 2022 To solve the problem of the non-linear Fourier phase shift caused by the wavelength shift in the celestial spectrum velocimetry, a celestial spectrum velocimetry method based on non-uniform discrete Fourier transform and compressed sensing is proposed ...
Zijun Zhang, Jin Liu, Xiaolin Ning
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