Uncertainty principles and applications of quaternion windowed linear canonical transform

被引：0

作者：

Prasad A. ^{[1
]}

Kundu M. ^{[2
]}

机构：

[1] Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad

[2] Department of Mathematics, SRM University-AP, Andhra Pradesh

来源：

Optik | 2023年 / 272卷

关键词：

Quaternion linear canonical transform; Quaternion windowed linear canonical transform; Uncertainty principle; Windowed linear canonical transform;

D O I：

10.1016/j.ijleo.2022.170220

中图分类号：

学科分类号：

摘要：

Quaternion signal processing is frequently used in color image processing. The quaternion windowed linear canonical transform (QWLCT), a generalization of the windowed linear canonical transform (WLCT), has a wide range of application domains, including signal processing and optics. In this paper, we study QWLCT-based characterization range, reproducing kernel, one-one map, Donoho-Stark inequality and Pitt's inequality. Some useful uncertainty principles (UP) like Heisenberg UP, Lieb UP, and local UP are discussed. Moreover, some applications associated with QWLCT in linear time-varying (TV) systems are explained in detail. © 2022 Elsevier GmbH

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