Uncertainty Principles for Wigner–Ville Distribution Associated with the Quaternion Offset Linear Canonical Transform

Didar Urynbassarova*, Youssef El Haoui, Feng Zhang

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

6 引用 (Scopus)

摘要

Wigner–Ville distribution (WVD) associated with the quaternion offset linear canonical transform (QOLCT) (WVD–QOLCT) is the known furthest generalization of the WVD in quaternion algebra. WVD–QOLCT is a hybrid transform that combines the flexibility and results of both WVD and QOLCT. Recently, some properties and classical Heisenberg's uncertainty principle (UP) have been derived for the two-dimensional (2D) two-sided WVD–QOLCT. This paper complements it by presenting conjugation symmetry and nonlinearity properties. Then, to characterize the simultaneous localization of a signal and its WVD–QOLCT, we establish different UPs for the 2D WVD–QOLCT, such as logarithmic UP, Hardy's UP, and Beurling's UP. In the end, by using the nonlinearity property, the applications of the 2D WVD–QOLCT in the linear frequency modulated signal detection are proposed.

源语言英语
页(从-至)385-404
页数20
期刊Circuits, Systems, and Signal Processing
42
1
DOI
出版状态已出版 - 1月 2023

指纹

探究 'Uncertainty Principles for Wigner–Ville Distribution Associated with the Quaternion Offset Linear Canonical Transform' 的科研主题。它们共同构成独一无二的指纹。

引用此