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2016 A Simplified Proof of Uncertainty Principle for Quaternion Linear Canonical Transform
Mawardi Bahri, Ryuichi Ashino
Abstr. Appl. Anal. 2016: 1-11 (2016). DOI: 10.1155/2016/5874930

Abstract

We provide a short and simple proof of an uncertainty principle associated with the quaternion linear canonical transform (QLCT) by considering the fundamental relationship between the QLCT and the quaternion Fourier transform (QFT). We show how this relation allows us to derive the inverse transform and Parseval and Plancherel formulas associated with the QLCT. Some other properties of the QLCT are also studied.

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Mawardi Bahri. Ryuichi Ashino. "A Simplified Proof of Uncertainty Principle for Quaternion Linear Canonical Transform." Abstr. Appl. Anal. 2016 1 - 11, 2016. https://doi.org/10.1155/2016/5874930

Information

Received: 20 August 2015; Accepted: 9 December 2015; Published: 2016
First available in Project Euclid: 10 February 2016

zbMATH: 06929377
MathSciNet: MR3448876
Digital Object Identifier: 10.1155/2016/5874930

Rights: Copyright © 2016 Hindawi

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