Continuous Wavelet Transform Involving Linear Canonical Transform

被引：21
|
作者：
Prasad, Akhilesh [1 ]
Ansari, Z. A. [1 ]
机构：
[1] Indian Sch Mines, Indian Inst Technol, Dept Appl Math, Dhanbad, Bihar, India
来源：
NATIONAL ACADEMY SCIENCE LETTERS-INDIA | 2019年 / 42卷 / 04期
关键词：
Linear canonical transform; Wavelet transform; Convolution; CONVOLUTION;
D O I：
10.1007/s40009-018-0743-x
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The main objective of this paper is to study the continuous wavelet transform involving linear canonical transform (LCT) and some of its basic properties. The inversion formula and the Parseval's relation of continuous wavelet transform are discussed. Moreover, discrete wavelet transform based on LCT is defined and studied its basic properties.
引用
收藏
页码：337 / 344
页数：8
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