Quaternion Windowed Linear Canonical Transform of Two-Dimensional Quaternionic Signals
General Mathematics
2019-07-19 v2
Abstract
We investigate the 2D quaternion windowed linear canonical transform(QWLCT) in this paper. Firstly, we propose the new definition of the QWLCT, and then several important properties of newly defined QWLCT, such as bounded, shift, modulation, orthogonality relation, are derived based on the spectral representation of the quaternionic linear canonical transform(QLCT). Finally, by the Heisenberg uncertainty principle for the QLCT and the orthogonality relation property for the QWLCT, the Heisenberg uncertainty principle for the QWLCT is established.
Keywords
Cite
@article{arxiv.1903.11966,
title = {Quaternion Windowed Linear Canonical Transform of Two-Dimensional Quaternionic Signals},
author = {Wen-Biao Gao and Bing-Zhao Li},
journal= {arXiv preprint arXiv:1903.11966},
year = {2019}
}
Comments
This article is 14 pages long