Abstract and Applied Analysis

A Simplified Proof of Uncertainty Principle for Quaternion Linear Canonical Transform

Mawardi Bahri and Ryuichi Ashino

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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.

Article information

Abstr. Appl. Anal. Volume 2016 (2016), Article ID 5874930, 11 pages.

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

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Bahri, Mawardi; Ashino, Ryuichi. A Simplified Proof of Uncertainty Principle for Quaternion Linear Canonical Transform. Abstr. Appl. Anal. 2016 (2016), Article ID 5874930, 11 pages. doi:10.1155/2016/5874930. https://projecteuclid.org/euclid.aaa/1455115144

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