Results 1 to 10 of about 23,128 (265)
Solving Generalized Heat and Generalized Laplace Equations Using Fractional Fourier Transform
Fractal and Fractional, 2023 In the present work, the main objective is to find the solution of the generalized heat and generalized Laplace equations using the fractional Fourier transform, which is a general form of the solution of the heat equation and Laplace equation using the ...
Sri Sulasteri +4 more
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Some Essential Relations for the Quaternion Quadratic-Phase Fourier Transform
Mathematics, 2023 Motivated by the fact that the quaternion Fourier transform is a powerful tool in quaternion signal analysis, here, we study the quaternion quadratic-phase Fourier transform, which is a generalized version of the quaternion Fourier transform.
Mawardi Bahri +1 more
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On the kernel of the $(\kappa ,a)$ -Generalized fourier transform
Forum of Mathematics, Sigma, 2023 For the kernel $B_{\kappa ,a}(x,y)$ of the $(\kappa ,a)$ -generalized Fourier transform $\mathcal {F}_{\kappa ,a}$ , acting in $L^{2}(\mathbb {R}^{d})$ with the weight $|x|^{a-2}v_{\kappa }(x)$ , where $v_{\kappa }$
Dmitry Gorbachev +2 more
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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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Computation of Fourier transform representations involving the generalized Bessel matrix polynomials
Advances in Difference Equations, 2021 Motivated by the recent studies and developments of the integral transforms with various special matrix functions, including the matrix orthogonal polynomials as kernels, in this article we derive the formulas for Fourier cosine and sine transforms of ...
M. Abdalla, M. Akel
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The class Bp for weighted generalized Fourier transform inequalities
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015 In the present paper, we prove weighted inequalities for the Dunkl transform (which generalizes the Fourier transform) when the weights belong to the well-known class Bp.
Chokri Abdelkefi, Mongi Rachdi
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A Weak Target Detection Algorithm IAR-STFT Based on Correlated K-distribution Sea Clutter Model [PDF]
Radioengineering, 2023 The detection performance of weak target on sea is affected by the special effects of sea clutter amplitude. Aiming at the time and space correlated of sea clutter, the correlated K-distribution sea clutter model is established by the sphere invariant ...
Y. Liu, X. Rao, X. Zhu, H. Yi, J. Hu
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Dechirp‐receiving radar target detection based on generalized Radon‐Fourier transform
IET Radar, Sonar & Navigation, 2021 The dechirp‐receiving radar measures range by the frequency difference between the target echo and the reference signal. It can operate at a low sampling frequency while transmitting a wideband signal, which simplifies the radar hardware.
Pengjie You +3 more
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Sensors, 2021 In this paper, we use Frame Theory to develop a generalized OCT image reconstruction method using redundant and non-uniformly spaced frequency domain samples that includes using non-redundant and uniformly spaced samples as special cases. We also correct
Karim Nagib +4 more
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International Journal of Mathematics and Mathematical Sciences, 2002 We use a generalized Brownian motion process to define the generalized Fourier-Feynman transform, the convolution product, and the first variation. We then examine the various relationships that exist among the first variation, the generalized Fourier ...
Seung Jun Chang, Jae Gil Choi
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