One dimensional quaternion linear canonical transform in probability theory

被引：4

作者：

Siddiqui, Saima ^{[1
]}

Samad, Muhammad Adnan ^{[2
]}

Ismoiljonovich, Fayzullayev Djamshid ^{[1
]}

机构：

[1] Fergana Polytech Inst, Dept Math, Fergana 150100, Uzbekistan

[2] Fergana Polytech Inst, Elect Mech & Elect Technol Dept, Elect Engn, Fergana 150100, Uzbekistan

来源：

SIGNAL IMAGE AND VIDEO PROCESSING | 2024年 / 18卷 / 12期

关键词：

Quaternion linear canonical transform; Quaternion characteristic function; Quaternion probability density function; Quaternion variance; FOURIER-TRANSFORM;

D O I：

10.1007/s11760-024-03556-9

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The quaternion linear canonical transform is considered as central piece in different fields like applied mathematics, engineering, computer sciences, and statistics. In this work, we have introduced the one-dimensional quaternion linear canonical transform, which is a generalization of the quaternion Fourier transform. We explore the characteristic function within the framework of quaternion algebra, elucidating its essential properties. Building on this foundation, we derive the expected value and variance, offering deeper insights into the probabilistic structures associated with the quaternions.

引用

页码：9419 / 9430

页数：12

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