Uncertainty Principle for a Kind of Quaternionic Linear Canonical Transform
Abstract: In this paper, based on the properties of the left-sided quaternionic linear canonical transform (QLCT), an uncertainty principle is established for the left-sided QLCT. It states that the product of the variances of quaternion-valued signals in the spatial and frequency domains has a lower bound and only a 2D Gaussian signal minimizes the uncertainty principle.
文章引用: 付应雄 , 熊 珍 (2014) 一类四元数线性正则变换的不确定性原理。 应用数学进展， 3， 134-139. doi: 10.12677/AAM.2014.33020
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