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pro vyhledávání: '"Fahlaoui, Said"'
Autor:
Fahlaoui, Said, Monaim, Hakim
In this paper, we present the general one-dimensional Clifford Fourier Transform. We derive fundamental properties: Plancherel theorem, reconstruction and convolution formulas. Additionally, we provide an application to probability theory illustratin
Externí odkaz:
http://arxiv.org/abs/2305.02048
Autor:
Monaim, Hakim, Fahlaoui, Said
In this paper, we prove both of the Titchmarsh theorems associated with Two-Sided Quaternionic Fourier Transform and we conclude about Short-Time Two-Sided Quaternionic Fourier Transform.
Comment: Huge rectification in the main result
Comment: Huge rectification in the main result
Externí odkaz:
http://arxiv.org/abs/2101.04031
Autor:
Kassimi, Mohammed El, Fahlaoui, Said
Gabor transform is one of the performed tools for time-frequency signal analysis. The principal aim of this paper is to generalize the Gabor Fourier transform to the quaternion linear canonical transform. Actually, this transform gives us more flexib
Externí odkaz:
http://arxiv.org/abs/1906.02529
Autor:
Haoui, Youssef El, Fahlaoui, Said
Publikováno v:
Adv. Appl. Clifford Algebras (2019) 29: 94
The Clifford Fourier transform (CFT) has been shown to be a powerful tool in the Clifford analysis. In this work, several uncertainty inequalities are established in the real Clifford algebra $Cl_{(p,q)}$, \ including the Hausdorf-Young inequality, a
Externí odkaz:
http://arxiv.org/abs/1902.08465
Autor:
Haoui, Youssef El, Fahlaoui, Said
The purpose of this article is to extend the wavelet transform to quaternion algebra using the kernel of the two-sided quaternion Fourier transform (QFT). We study some fundamental properties of this extension such as scaling, translation, rotation,
Externí odkaz:
http://arxiv.org/abs/1902.08461
Windowing a Fourier transform is a useful tool, which gives us the similarity between the signal and time frequency signal, and it allows to get sense when/where ceratin frequencies occur in the input signal, this method is introduced by Dennis Gabor
Externí odkaz:
http://arxiv.org/abs/1901.01105
Autor:
Kassimi, Mohammed El, Fahlaoui, Said
Let $\mathbb{K}=[0,+\infty[\times\mathbb{R}$ the Laguerre Hypergroup. In this paper, we are going to formulate and prove an analogue of Miyachi's uncertainty principle for the Laguerre-Hypergroup Fourier transform. Our version will be in terms of the
Externí odkaz:
http://arxiv.org/abs/1812.01949
The Wigner-Ville distribution (WVD) and quaternion offset linear canonical transform (QOLCT) are a useful tools in signal analysis and image processing. The purpose of this paper is to define the Wigner-Ville distribution associated with quaternionic
Externí odkaz:
http://arxiv.org/abs/1901.01097
Autor:
Kassimi, Mohammed El, Fahlaoui, Said
In this paper, we define a new transform called the Gabor quaternionic Fourier transform (GQFT), which generalizes the classical windowed Fourier transform to quaternion valued-signals, we give several important properties such as the Plancherel form
Externí odkaz:
http://arxiv.org/abs/1901.01098
The quaternionic offset linear canonical transform (QOLCT) can be thought as a generalization of the quaternionic linear canonical transform (QLCT). In this paper we define the QOLCT, we derive the relationship between the QOLCT and the quaternion Fo
Externí odkaz:
http://arxiv.org/abs/1807.04068