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
收藏
页数：19
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