Inequalities Pertaining to Quaternion Ambiguity Function

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2024-04-08 DOI:10.1007/s00006-024-01320-3

Imanuel Agung Sembe, Mawardi Bahri, Nasrullah Bachtiar, Muhammad Zakir

引用次数: 0

Abstract

The quaternion ambiguity function is an expansion of the standard ambiguity function using quaternion algebra. Various properties such as linearity, translation, modulation, Moyal’s formula and inversion identity are studied in detail. In addition, an interesting interaction between the quaternion ambiguity function and the quaternion Fourier transform is demonstrated. Based on these facts, we seek for several versions of the uncertainty inequalities associated with the proposed quaternion ambiguity function.

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与四元数模糊函数有关的不等式

四元数模糊函数是使用四元数代数对标准模糊函数的扩展。它详细研究了各种特性，如线性、平移、调制、莫亚尔公式和反转特性。此外，我们还展示了四元模糊函数与四元傅里叶变换之间有趣的相互作用。基于这些事实，我们寻求了与所提出的四元数模糊函数相关的不确定性不等式的几个版本。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Applied Clifford Algebras 数学-物理：数学物理

CiteScore

2.20

自引率

13.30%

发文量

审稿时长

3 months

期刊介绍： Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.