Convolution and correlation theorems for the windowed offset linear canonical transform
Wen-Biao Gao, Bing-Zhao Li
TL;DR
This paper explores key properties of the windowed offset linear canonical transform (WOLCT), deriving convolution and correlation theorems that enhance understanding and potential applications of this mathematical transform.
Contribution
The paper introduces important properties of WOLCT and derives new convolution and correlation theorems for it, expanding its theoretical framework.
Findings
Properties like shift, modulation, orthogonality are established for WOLCT.
Convolution theorem for WOLCT is derived.
Correlation theorem for WOLCT is derived.
Abstract
In this paper, some important properties of the windowed offset linear canonical transform (WOLCT) such as shift, modulation and orthogonality relation are introduced. Based on these properties we derive the convolution and correlation theorems for the WOLCT.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Image and Signal Denoising Methods · Digital Filter Design and Implementation