Linear canonical wavelet transform: Properties and inequalities

Linear canonical wavelet transform: Properties and inequalities
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线性正则小波变换：属性和不等式

DOI：
10.1142/s0219691321500272
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发表时间：
2021
期刊：
International Journal of Wavelets, Multiresolution and Information Processing
影响因子：
--
通讯作者：
Ryuichi Ashino
Ryuichi Ashino
中科院分区：
--
文献类型：
--
作者：
Mawari Bahri;Ryuichi Ashino

文献摘要

相似文献

本文研究线性标准小波变换。它是在线性正则变换框架下对普通小波变换的非平凡推广。首先给出了线性标准小波变换与普通小波变换的直接关系。在此基础上，给出了线性标准小波变换正交关系的另一种证明。对它的一些基本性质也作了详细的研究。最后，我们显式地推导出几个版本的不等式与线性规范小波变换。
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.