Generalized wave packet transform based on convolution operator in the quaternion quadratic-phase Fourier domain

AH Dar, MY Bhat, M Rahman - Optik, 2023 - Elsevier
The classical quaternion quadratic-phase Fourier transform fails in locating the quaternion
quadratic-phase domain frequency contents that is required in numerous applications. In …

Comprehensive Separation Algorithm for Single-Channel Signals Based on Symplectic Geometry Mode Decomposition

X Wang, J Zhao, X Wu - Sensors, 2024 - mdpi.com
This paper aims to explore the difficulty of obtaining source signals from complex mixed
signals and the issue that the FastICA algorithm cannot directly decompose the received …

Convolution, Correlation and Uncertainty Principle in the One-Dimensional Quaternion Quadratic-Phase Fourier Transform Domain

MY Bhat, AH Dar, M Zayed, AA Bhat - Mathematics, 2023 - mdpi.com
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 …

[HTML][HTML] Quadratic phase S-Transform: Properties and uncertainty principles

MY Bhat, AH Dar - e-Prime-Advances in Electrical Engineering …, 2023 - Elsevier
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 …

Wigner–Ville Distribution Associated with Clifford Geometric Algebra Cln,0, n=3(mod 4) Based on Clifford–Fourier Transform

MY Bhat, S Rafiq, M Zayed - Symmetry, 2023 - mdpi.com
In this study, the Wigner–Ville distribution is associated with the one sided Clifford–Fourier
transform over R n, n= 3 (mod 4). Accordingly, several fundamental properties of the WVD …

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) …