An Interplay of Wigner–Ville Distribution and 2D Hyper-Complex Quadratic-Phase Fourier Transform

MY Bhat, AH Dar, I Nurhidayat, S Pinelas - Fractal and Fractional, 2023 - mdpi.com
Two-dimensional hyper-complex (Quaternion) quadratic-phase Fourier transforms (Q-QPFT)
have gained much popularity in recent years because of their applications in many areas …

Wigner distribution and associated uncertainty principles in the framework of octonion linear canonical transform

AH Dar, MY Bhat - Optik, 2023 - Elsevier
The most recent generalization of octonion Fourier transform (OFT) is the octonion linear
canonical transform (OLCT) that has become popular in present era due to its applications in …

Wigner-Ville distribution and ambiguity function of QPFT signals

MY Bhat, AH Dar - Annals of the University of Craiova-Mathematics and …, 2023 - inf.ucv.ro
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 …

Biquaternion ambiguity function and associated uncertainty principles

O Ahmad, AA Dar - … Journal of Geometric Methods in Modern …, 2024 - shibata.yubetsu.com
Biquaternion ambiguity function and associated uncertainty principles - Yubetsu Shibata
Yubetsu Shibata logo About Browse For Publishers Contact 1.International Journal of …

Convolution, correlation, and uncertainty principles for the quaternion offset linear canonical transform

D Urynbassarova, AA Teali - Mathematics, 2023 - mdpi.com
Quaternion Fourier transform (QFT) has gained significant attention in recent years due to its
effectiveness in analyzing multi-dimensional signals and images. This article introduces two …

Weighted Convolution for Quaternion Linear Canonical Cosine Transform and Its Application

R Wang, Q Feng - Axioms, 2024 - mdpi.com
Convolution plays a pivotal role in the domains of signal processing and optics. This paper
primarily focuses on studying the weighted convolution for quaternion linear canonical …

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 …

Hyperholomorphicity by Proposing the Corresponding Cauchy–Riemann Equation in the Extended Quaternion Field

JE Kim - Axioms, 2024 - mdpi.com
In algebra, the sedenions, an extension of the octonion system, form a 16-dimensional
noncommutative and nonassociative algebra over the real numbers. It can be expressed as …