Results 31 to 40 of about 790,476 (361)

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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Coherent optical implementations of the fast Fourier transform and their comparison to the optical implementation of the quantum Fourier transform [PDF]

, 2013
Optical structures to implement the discrete Fourier transform (DFT) and fast Fourier transform (FFT) algorithms for discretely sampled data sets are considered. In particular, the decomposition of the FFT algorithm into the basic Butterfly operations is
Birch, Philip M, Chatwin, Chris R, Young, Rupert C D   +2 more
core   +2 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
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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, Zsolt Kollar, Daejin Park   +2 more
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Simplification of DFT and IDFT in PRACH

Electronics Letters, 2023
The respective simplifications of prime‐point discrete Fourier transform (DFT) and ultra‐long‐point inverse discrete Fourier transform (IDFT) in physical random access channel (PRACH) are proposed. The former is an equivalent substitution of DFT function
Yufeng Jiang, Shouxin Kang
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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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Generalized Orthogonal Discrete W Transform and Its Fast Algorithm

Discrete Dynamics in Nature and Society, 2021
Based on the generalized discrete Fourier transform, the generalized orthogonal discrete W transform and its fast algorithm are proposed and derived in this paper. The orthogonal discrete W transform proposed by Zhongde Wang has only four types. However,
Jichao Sun, Zhengping Zhang
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Fast complexified quaternion Fourier transform

, 2006
A discrete complexified quaternion Fourier transform is introduced. This is a generalization of the discrete quaternion Fourier transform to the case where either or both of the signal/image and the transform kernel are complex quaternion-valued.
Bihan Stephen, J. Sangwine, Nicolas Le, Salem Said   +3 more
core   +4 more sources

Tunable fractional Fourier transform implementation of electronic wave functions in atomically thin materials

Beilstein Journal of Nanotechnology, 2018
A tunable fractional Fourier transform of the quantum wave function of electrons satisfying either the Schrödinger or the Dirac equation can be implemented in an atomically thin material by a parabolic potential distribution applied on a direction ...
Daniela Dragoman
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Non-Iterative DOA Estimation Using Discrete Fourier Transform Interpolation

IEEE Access, 2019
A fast and accurate non-iterative direction-of-arrival (DOA) estimation algorithm for multiple targets in additive white Gaussian noise is devised in this paper.
Yuan Chen, Annie Hin Cheung Ko, Wing Shan Tam, Chi Wah Kok, Hing Cheung So   +4 more
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