Open Access
2018 A Version of Uncertainty Principle for Quaternion Linear Canonical Transform
Mawardi Bahri, Resnawati, Selvy Musdalifah
Abstr. Appl. Anal. 2018: 1-7 (2018). DOI: 10.1155/2018/8732457


In recent years, the two-dimensional (2D) quaternion Fourier and quaternion linear canonical transforms have been the focus of many research papers. In the present paper, based on the relationship between the quaternion Fourier transform (QFT) and the quaternion linear canonical transform (QLCT), we derive a version of the uncertainty principle associated with the QLCT. We also discuss the generalization of the Hausdorff-Young inequality in the QLCT domain.


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Mawardi Bahri. Resnawati. Selvy Musdalifah. "A Version of Uncertainty Principle for Quaternion Linear Canonical Transform." Abstr. Appl. Anal. 2018 1 - 7, 2018.


Received: 2 October 2017; Revised: 18 March 2018; Accepted: 2 April 2018; Published: 2018
First available in Project Euclid: 13 June 2018

zbMATH: 06929596
MathSciNet: MR3804854
Digital Object Identifier: 10.1155/2018/8732457

Rights: Copyright © 2018 Hindawi

Vol.2018 • 2018
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