Generalized wave packet transform based on convolution operator in the quaternion quadratic-phase Fourier domain
The classical quaternion quadratic-phase Fourier transform fails in locating the quaternion
quadratic-phase domain frequency contents that is required in numerous applications. In …
quadratic-phase domain frequency contents that is required in numerous applications. In …
Clifford-valued linear canonical wave-packet transform and corresponding uncertainty principles
S Rafiq, MY Bhat - Journal of Pseudo-Differential Operators and …, 2024 - Springer
In an effort to express Clifford-valued signals efficiently in time–frequency domain, we
introduce the notion of the novel integral transform known as Clifford-valued linear canonical …
introduce the notion of the novel integral transform known as Clifford-valued linear canonical …
Convolution based quadratic-phase Stockwell transform: theory and uncertainty relations
In the field of optics and signal processing, the novel quadratic-phase Fourier transform
(QPFT) has emerged as a powerful tool. However, it has a drawback as it fails in locating the …
(QPFT) has emerged as a powerful tool. However, it has a drawback as it fails in locating the …
Convolution, Correlation and Uncertainty Principle in the One-Dimensional Quaternion Quadratic-Phase Fourier Transform Domain
In this paper, we present a novel integral transform known as the one-dimensional
quaternion quadratic-phase Fourier transform (1D-QQPFT). We first define the one …
quaternion quadratic-phase Fourier transform (1D-QQPFT). We first define the one …
[HTML][HTML] Quadratic phase S-Transform: Properties and uncertainty principles
In this paper, a novel quadratic phase S-transform (QPST) is proposed, by generalizing the
S-transform (ST) with five parameters a, b, c, d and e. QPST displays the time and quadratic …
S-transform (ST) with five parameters a, b, c, d and e. QPST displays the time and quadratic …
Windowed octonion quadratic phase Fourier transform: Sharp inequalities, uncertainty principles and examples in signal processing
M Kumar - IEEE Access, 2024 - ieeexplore.ieee.org
In this paper, we define the Windowed Octonion Quadratic Phase Fourier Transform
(WOQPFT) and derive its inversion formula, including its essential properties, such as …
(WOQPFT) and derive its inversion formula, including its essential properties, such as …
Discrete Quaternion Quadratic Phase Fourier Transform
AH Dar - arXiv preprint arXiv:2402.11311, 2024 - arxiv.org
A novel addition to the family of integral transforms, the quadratic phase Fourier transform
(QPFT) embodies a variety of signal processing tools, including the Fourier transform (FT) …
(QPFT) embodies a variety of signal processing tools, including the Fourier transform (FT) …
A mathematical survey on Fourier type integral transform and their offshoots: windowed Fourier transform, wavelet transform and Stockwell transform
This comprehensive review paper delves into the intricacies of advanced Fourier type
integral transforms and their mathematical properties, with a particular focus on fractional …
integral transforms and their mathematical properties, with a particular focus on fractional …
Uncertainty principles associated with the short time quaternion coupled fractional Fourier transform
In this paper, we extend the coupled fractional Fourier transform of a complex valued
functions to that of the quaternion valued functions on $\mathbb {R}^ 4$ and call it the …
functions to that of the quaternion valued functions on $\mathbb {R}^ 4$ and call it the …
[PDF][PDF] The novel quadratic phase Fourier S-transform and associated uncertainty principles in the quaternion setting
A Gargouri - Demonstratio Mathematica, 2024 - degruyter.com
In this article, we propose a novel integral transform coined as quaternion quadratic phase S-
transform (Q-QPST), which is an extension of the quadratic phase S-transform and study the …
transform (Q-QPST), which is an extension of the quadratic phase S-transform and study the …