5 papers
Theory and Applications of Convolution-Based short time offset linear canonical transform
Gita Rani Mahato, Manab Kundu, Alit Elsa Xavier
In this paper, we introduce a convolution based short time offset linear canonical transform (STOLCT) and investigate its fundamental mathematical properties. Specifically, we esta…
Inequality, uncertainty principles and their structural analysis for offset linear canonical transform and its quaternion extension
Gita Rani Mahato, Sarga Varghese, Manab Kundu
This work undertakes a twofold investigation. In the first part, we examine the inequalities and uncertainty principles in the framework of offset linear canonical transform (OLCT)…
The windowed quadratic phase Fourier transform: structure, convolution theorem and application
Sarga Varghese, Manab Kundu
The windowed quadratic phase Fourier transform (WQPFT) combines the localization capabilities of windowed transforms with the phase modulation structure of the quadratic phase Four…
The Multidimensional Quadratic Phase Fourier Transform: Theoretical Analysis and Applications
Sarga Varghese, Gita Rani Mahato, Manab Kundu
The quadratic phase Fourier transform (QPFT) is a generalization of several well-known integral transforms, including the linear canonical transform (LCT), fractional Fourier trans…
New convolution related theorems and applications associated with offset linear canonical transform
Gita Rani Mahato, Sarga Varghese, Manab Kundu
In this paper, we define new type of convolution and correlation theorems associated with the offset linear canonical transform (OLCT). Additionally, we discuss their applications…