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arXiv · 2406.17291

Biquaternion Windowed Linear Canonical Transform

Owais Ahmad·Aijaz Ahmad Dar
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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.

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BibTeXRIS

Owais Ahmad, Aijaz Ahmad Dar. 2024-06-25. Biquaternion Windowed Linear Canonical Transform. https://arxiv.org/abs/2406.17291

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