Results 31 to 40 of about 891,940 (302)
Quantum Physics and Signal Processing in Rigged Hilbert Spaces by means of Special Functions, Lie Algebras and Fourier and Fourier-like Transforms [PDF]
, 2014 Quantum Mechanics and Signal Processing in the line R, are strictly related to Fourier Transform and Weyl-Heisenberg algebra. We discuss here the addition of a new discrete variable that measures the degree of the Hermite functions and allows to obtain ...
Celeghini, Enrico, del Olmo, Mariano A.
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Two-Dimensional Discrete Coupled Fractional Fourier Transform (DCFrFT)
Fractal and FractionalThe 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 +2 more
doaj +1 more source
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 +3 more
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Sampling Theorem and Discrete Fourier Transform on the Hyperboloid [PDF]
, 2010 Using Coherent-State (CS) techniques, we prove a sampling theorem for holomorphic functions on the hyperboloid (or its stereographic projection onto the open unit disk $\mathbb D_1$), seen as a homogeneous space of the pseudo-unitary group SU(1,1).
Calixto, Manuel +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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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 +4 more
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Discrete Fourier Transform in Nanostructures using Scattering
, 2003 In this paper we show that the discrete Fourier transform can be performed by scattering a coherent particle or laser beam off a two-dimensional potential that has the shape of rings or peaks.
Awschalom, D. D. +3 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Emerging evidence suggests that low‐frequency neural oscillations are dynamically regulated by consciousness levels, with the recovery of low cortical activity potentially serving as a neurophysiological substrate for conscious emergence. Targeted enhancement of these low‐frequency rhythms in patients with disorders of consciousness
Chuan Xu +10 more
wiley +1 more source