Linear canonical wavelet transform: Properties and inequalities

被引：3
|
作者：
Bahri, Mawardi [1 ]
Amir, Amir Kamal [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 | 2021年 / 19卷 / 06期
关键词：
Linear canonical wavelet transform; Lieb's inequality; orthogonality relation; Holder continuous; UNCERTAINTY PRINCIPLES;
D O I：
10.1142/S0219691321500272
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
This paper deals with the linear canonical wavelet transform. It is a non-trivial generalization of the ordinary wavelet transform in the framework of the linear canonical transform. We first present a direct relationship between the linear canonical wavelet transform and ordinary wavelet transform. Based on the relation, we provide an alternative proof of the orthogonality relation for the linear canonical wavelet transform. Some of its essential properties are also studied in detail. Finally, we explicitly derive several versions of inequalities associated with the linear canonical wavelet transform.
引用
收藏
页数：19
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