Results 11 to 20 of about 2,662 (145)
Fundamental solutions for semidiscrete evolution equations via Banach algebras
Advances in Difference Equations, 2021 We give representations for solutions of time-fractional differential equations that involve operators on Lebesgue spaces of sequences defined by discrete convolutions involving kernels through the discrete Fourier transform.
Jorge González-Camus +2 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.
Ahmet Serbes, Lutfiye Durak-Ata
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Estimation of LFM signal parameters using RD compressed sampling and the DFRFT dictionary
EURASIP Journal on Advances in Signal Processing, 2023 In this paper, a method combining random demodulator (RD) and discrete fractional Fourier transform (DFRFT) dictionary is suggested to directly estimate the parameters of linear frequency modulation (LFM) signals from compressed sampling data. First, the
Shuo Meng, Chen Meng, Cheng Wang
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Discrete fractional Fourier transform: Vandermonde approach [PDF]
IMA Journal of Applied Mathematics, 2018 Based on the definition of the Fourier transform in terms of the number operator of the quantum harmonic oscillator and in the corresponding definition of the fractional Fourier transform, we have obtained the discrete fractional Fourier transform from the discrete Fourier transform in a completely analogous manner. To achieve this, we have used a very
Moya-Cessa, Héctor M. +1 more
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Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter Banks
Complexity, 2020 The coprime discrete Fourier transform (DFT) filter banks provide an effective scheme of spectral sensing for wide-sense stationary (WSS) signals in case that the sampling rate is far lower than the Nyquist sampling rate.
Xiaomin Li +3 more
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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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Two dimensional discrete fractional Fourier transform [PDF]
Signal Processing, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pei, Soo-Chang, Yeh, Min-Hung
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One dimensional fractional frequency Fourier transform by inverse difference operator
Advances in Difference Equations, 2019 This article aims to develop fractional order convolution theory to bring forth innovative methods for generating fractional Fourier transforms by having recourse to solutions for fractional difference equations.
Dumitru Baleanu +3 more
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IET Image Processing, 2023 In this paper, a novel color image encryption scheme based on fractional discrete cosine transform (FrDCT) and discrete wavelet transform (DWT) with interplane arrangements in the discrete orthonormal Stockwell transform (DOST) domain is presented. Color
Gaurav Sundaram +3 more
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Array, 2022 The present paper aims to develop and validate a robust and secure watermarking algorithm. Firstly, the algorithm transforms the cover image and the watermark image separately by FRFT to obtain the amplitudes of both the cover image and watermark image ...
Ming Tang, Fuken Zhou
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