Open Access
2019 A Convolution Theorem Related to Quaternion Linear Canonical Transform
Mawardi Bahri, Ryuichi Ashino
Abstr. Appl. Anal. 2019: 1-9 (2019). DOI: 10.1155/2019/3749387


We introduce the two-dimensional quaternion linear canonical transform (QLCT), which is a generalization of the classical linear canonical transform (LCT) in quaternion algebra setting. Based on the definition of quaternion convolution in the QLCT domain we derive the convolution theorem associated with the QLCT and obtain a few consequences.


Download Citation

Mawardi Bahri. Ryuichi Ashino. "A Convolution Theorem Related to Quaternion Linear Canonical Transform." Abstr. Appl. Anal. 2019 1 - 9, 2019.


Received: 27 January 2019; Accepted: 24 April 2019; Published: 2019
First available in Project Euclid: 24 July 2019

zbMATH: 07095591
MathSciNet: MR3960304
Digital Object Identifier: 10.1155/2019/3749387

Rights: Copyright © 2019 Hindawi

Vol.2019 • 2019
Back to Top