Product of continuous fractional wave packet transforms

Author:

Prasad Akhilesh1,Kumar Praveen1,Kumar Tanuj1

Affiliation:

1. Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, Jharkhand, India

Abstract

In this paper, we investigated the fractional Fourier transform (FrFT) of the continuous fractional wave packet transform and studied some properties of continuous fractional wave packet transform. The product of continuous fractional wave packet transforms (CFrWPTs) is defined. Parseval’s relation and an inversion formula for product of CFrWPT are obtained. An example is also given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the space of periodic distributions with multi-dimensional wavelet packet transform;The Journal of Analysis;2022-07-16

2. The wave packet transform in the framework of linear canonical transform;International Journal of Wavelets, Multiresolution and Information Processing;2021-11-13

3. Linear canonical wave packet transform;Integral Transforms and Special Functions;2020-12-31

4. The composition of linear canonical wavelet transforms on generalized function spaces;Filomat;2020

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