Uncertainty Principle and Phase–Amplitude Analysis of Signals on the Unit Sphere

被引：0

作者：

Pei Dang

Tao Qian

Qiuhui Chen

机构：

[1] Macau University of Science and Technology,Faculty of Information Technology

[2] University of Macau,Department of Mathematics

[3] South China Agricultural University,Department of Mathematics, College of Mathematics and Informatics

来源：

Advances in Applied Clifford Algebras | 2017年 / 27卷

关键词：

Uncertainty principle; Phase derivative; Spherical signals; Spherical Hilbert transform; Spherical Dirac operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is devoted to studying uncertainty principle of Heisenberg type for signals on the unit sphere in the Clifford algebra setting. In the Clifford algebra setting we propose two forms of uncertainty principle for spherical signals, of which both correspond to the strongest form of uncertainty principle for periodic signals. The lower-bounds of the proven uncertainty principles are in terms of a scalar-valued phase derivative.

引用

页码：2985 / 3013

页数：28

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