Windowed Octonionic Fourier Transform

被引：2

作者：

Bhat, Younis Ahmad ^{[1
]}

Sheikh, Neyaz A. ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Srinagar 190006, Jammu And Kashm, India

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2023年 / 42卷 / 05期

关键词：

Octonionic Fourier transform; Windowed Fourier transform; Uncertainty principle; HYPERCOMPLEX; RECOGNITION; COMPLEX;

D O I：

10.1007/s00034-022-02241-x

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this article, we introduce the concept of the windowed octonion Fourier transform (WOFT) by taking the octonion-valued function as the window function on the space of square integrable octonion-valued functions on R-3. Some properties of the windowed octonion Fourier transform (WOFT) like left linearity, parity, specific shift, inversion, orthogonality and Hausdorff-Young inequality were also established. Towards the culmination of this paper, we establish the Pitt's inequality and hence some uncertainty principle for the proposed transform. Some potential applications were also added to show the effectiveness of this paper.

引用

页码：2872 / 2896

页数：25

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