Biquaternion Windowed Linear Canonical Transform
Functional Analysis
2024-06-26 v1
Abstract
In this paper, we introduce the notion of windowed linear canonical transform in biquaternion setting namely Biquaternion Windowed Linear Canonical Transform (BiQWLCT) and various properties of BiQWLCT, such as linearity, shift, parity, orthogonality relation, inversion formula, Plancherel theorem are established. Heisenberg uncertainty principle associated with the Biquaternion Windowed Linear Canonical Transform is also derived. Towards the culmination, an example and some potential applications are presented.
Keywords
Cite
@article{arxiv.2406.17291,
title = {Biquaternion Windowed Linear Canonical Transform},
author = {Owais Ahmad and Aijaz Ahmad Dar},
journal= {arXiv preprint arXiv:2406.17291},
year = {2024}
}