Uncertainty principles related to quaternionic windowed Fourier transform

被引：8

作者：

Bahri, Mawardi ^{[1
]}

Ashino, Ryuichi ^{[2
]}

机构：

[1] Hasanuddin Univ, Dept Math, Makassar 90245, Indonesia

[2] Osaka Kyoiku Univ, Math & Informat, Osaka 5828582, Japan

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2020年 / 18卷 / 03期

关键词：

Quaternionic Fourier transform; logarithmic uncertainty principle; quaternionic windowed Fourier transform; CONVOLUTION; THEOREMS;

D O I：

10.1142/S0219691320500150

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper, we first introduce uncertainty principles for the quaternion Fourier transform (QFT). We then provide a different proof of the well-known properties of the quaternionic windowed Fourier transform (QWFT) using properties of the QFT which is a little bit simpler than usual. Based on uncertainty principles for the QFT and the relationship between the QFT and QWFT, we establish uncertainty principles related to the QWFT.

引用

页数：19

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