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 …
Octonion quadratic-phase Fourier transform: inequalities, uncertainty principles, and examples
M Kumar, Bhawna - Journal of Inequalities and Applications, 2024 - Springer
In this article, we define the octonion quadratic-phase Fourier transform (OQPFT) and derive
its inversion formula, including its fundamental properties such as linearity, parity …
its inversion formula, including its fundamental properties such as linearity, parity …
Wigner-Ville distribution and ambiguity function of QPFT signals
The quadratic phase Fourier transform (QPFT) has received my attention in recent years
because of its applications in signal processing. At the same time the applica-tions of Wigner …
because of its applications in signal processing. At the same time the applica-tions of Wigner …
Quadratic Phase Quaternion Domain Fourier Transform
E Hitzer - Computer Graphics International Conference, 2023 - Springer
Based on the quaternion domain Fourier transform (QDFT) of 2016 and the quadratic-phase
Fourier transform of 2018, we introduce the quadratic-phase quaternion domain Fourier …
Fourier transform of 2018, we introduce the quadratic-phase quaternion domain Fourier …
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 …
Properties and applications of quaternion quadratic phase Fourier transforms
The quaternion quadratic phase Fourier transform (QQPFT), an extension of the well-known
quaternion Fourier transform (QFT), has emerged as a significant advancement in signal …
quaternion Fourier transform (QFT), has emerged as a significant advancement in signal …
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 …