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 …

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 …

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 …

Novel fractional scaled Wigner distribution using fractional instantaneous autocorrelation

AH Dar, HM Alshanbari, JG Dar, SN Alaziz - Signal, Image and Video …, 2024 - Springer
The traditional scaled Wigner distribution (SWD) is extended to a novel one inspired by
merits of fractional instantaneous autocorrelation present in the definition of fractional bi …

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 …

[HTML][HTML] Introductory Chapter: The Generalizations of the Fourier Transform

MY Bhat - Time Frequency Analysis of Some Generalized Fourier …, 2023 - intechopen.com
In the world of physical science, important physical quantities such as sound, pressure,
electric current, voltage, and electromagnetic fields vary with time t. Such quantities are …

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) …

The novel Clifford-valued quadratic-phase wave packet transform and its applications

MY Bhat, S Rafiq - Journal of Pseudo-Differential Operators and …, 2025 - Springer
In order to represent the Clifford valued signals more efficiently in the time-frequency plane,
we propose a novel integral transform known as Clifford quadratic-phase wave packet …

[图书][B] Time Frequency Analysis of Some Generalized Fourier Transforms

MY Bhat - 2023 - books.google.com
In the world of physical science, important physical quantities like sound, pressure, electrical
current, voltage, and electromagnetic fields vary with time. Such quantities are labeled as …