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Novel uncertainty principles associated with 2D quaternion Fourier transforms 期刊名称： Integral Transforms & Special Functions
睡前故事白雪公主作者： Yan Yang,Kit Ian Kou
榴莲炖排骨
年份： 2016年
运动会诗歌期号： 第3期
对角线规则关键词： 62J10;30G35;42A38
摘要：Summary: The quaternion Fourier transform has been widely employed in the colour image processing. The u of quaternions allow the analysis of colour images as vector fields. In this paper, the right-sided quaternion Fourier transform and its properties are reviewed. Using the polar form of quaternions, two novel uncertainty principles associated with covariance are established. They prescribe the lower bounds with covariances on the products of the effective widths of quaternionic signals in the space and frequency domains. The results generalize the Heinberg's uncertainty principle to the 2D quaternionic space.
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