A Version of Uncertainty Principle for Quaternion Linear Canonical Transform

Abstract and applied analysis

Mawardi Bahri^1¹  Resnawati^2² 

[1] Department of Mathematics, Hasanuddin University, Makassar 90245, Indonesia^1;Department of Mathematics, Tadulako University, Palu 94148, Indonesia^2

DOI  :  10.1155/2018/8732457

学科分类：数学（综合）

来源: Hindawi Publishing Corporation

【 摘 要 】

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.

【 授权许可】

CC BY