# Convolution and Correlation Theorems for Wigner-Ville Distribution Associated with the Quaternion Offset Linear Canonical Transform

@article{Bhat2021ConvolutionAC, title={Convolution and Correlation Theorems for Wigner-Ville Distribution Associated with the Quaternion Offset Linear Canonical Transform}, author={Mohammad Younus Bhat and Aamir Hamid Dar}, journal={ArXiv}, year={2021}, volume={abs/2109.09682} }

Abstract The quaternion offset linear canonical transform(QOLCT) has gained much popularity in recent years because of its applications in many areas, including color image and signal processing. At the same time the applications of Wigner-Ville distribution (WVD) in signal analysis and image processing can not be excluded. In this paper we investigate the Winger-Ville Distribution associated with quaternion offset linear canonical transform (WVD-QOLCT). Firstly, we propose the definition of… Expand

#### 2 Citations

Uncertainty Inequalities for 3D Octonionic-valued Signals Associated with Octonion Offset Linear Canonical Transform

- Computer Science, Engineering
- ArXiv
- 2021

The crux of the paper lies in the generalization of several well known uncertainty relations for the (O−OLCT) that include Pitt’s inequality, logarithmic uncertainty inequality, Hausdorff-Young inequality and local uncertainty inequalities. Expand

Quaternion Offset Linear Canonical Transform in One dimensional Setting

- Engineering, Mathematics
- 2021

with AD − BC = 1. It is here worth to mention that if B = 0 then the OLCT defined by (1.1) is simply a time scaled version off multiplied by a linear chirp. Hence, without loss of generality, in this… Expand

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