Uncertainty Principles for Quaternion Linear Canonical S Transform
Mohammad Younus Bhat, Aamir Hamid Dar
TL;DR
This paper introduces the Quaternion Linear Canonical Stockwell Transform, extending the Linear Canonical Transform, and establishes fundamental inequalities like Heisenberg's and logarithmic inequalities for it.
Contribution
It presents a novel quaternion-based transform extending LCST and derives important inequalities, advancing mathematical tools in signal processing.
Findings
Established Heisenberg's inequality for the new transform.
Derived logarithmic inequality for the Quaternion LCST.
Extended the mathematical framework of signal transforms.
Abstract
In this paper, we introduce the notion of Quaternion Linear Canonical Stockwell Transform which is an extension of the Linear Canonical Transform. We establish some inequalities like Heisenberg's Inequality and logarithmic inequality for LCST.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Advanced Differential Geometry Research · Digital Filter Design and Implementation