2022
DOI: 10.1515/dema-2022-0175
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Wigner-Ville distribution and ambiguity function associated with the quaternion offset linear canonical transform

Abstract: Wigner-Ville transform or Wigner-Ville distribution (WVD) associated with quaternion offset linear canonical transform (QOLCT) was proposed by Bhat and Dar. This work is devoted to the development of the theory proposed by them, which is an emerging tool in the scenario of signal processing. The main contribution of this work is to introduce WVD and ambiguity function (AF) associated with the QOLCT (WVD-QOLCT/AF-QOLCT). First, the definition of the WVD-QOLCT is proposed, and then several important properties s… Show more

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Cited by 9 publications
(8 citation statements)
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“…Moreover they also studied the convolution and correlation theorems associated WVD-QPFT. More results in this direction can be found in [30]- [33].…”
Section: Introductionmentioning
confidence: 82%
“…Moreover they also studied the convolution and correlation theorems associated WVD-QPFT. More results in this direction can be found in [30]- [33].…”
Section: Introductionmentioning
confidence: 82%
“…In recent years, the research on generalization of various kinds of transformations using the linear canonical transform has developed rapidly. In [2,4,5,13,17,21], the authors presented Wigner-Ville distribution associated with the linear canonical transforms. Some inequalities related to this transformation were demonstrated in detail.…”
Section: Introductionmentioning
confidence: 99%
“…In recent years, with the continuous progress of mathematical theory, researchers have begun to extend the concept of integral transforms to the field of quaternion algebra. This extension has led to new theoretical frameworks, such as the quaternion Fourier transform (QFT) [27,28], the quaternion fractional Fourier transform (QFRFT) [29,30], the quaternion linear canonical transform (QLCT) [31][32][33][34], and the quaternion offset linear canonical transform (QOLCT) [7,35,36]. These theoretical frameworks provide new methods and tools for processing and analyzing quaternion signals.…”
Section: Introductionmentioning
confidence: 99%