Work

Biquaternion Windowed Linear Canonical Transform

Year: 2024

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2406.17291

Authors: Ahmad, Owais, Dar, Aijaz Ahmad

Institution: National Institute of Technology Srinagar

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Department of Science and Technology, Ministry of Science and Technology, India

Award: G4210878893

OpenAlex ID: W4400064832

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