Quadratic-phase scaled Wigner distribution: convolution and correlation: Quadratic-phase scaled Wigner distribution

MY Bhat, AH Dar - Signal, Image and Video Processing, 2023 - Springer
In this paper, we propose the novel integral transform coined as the quadratic-phase scaled
Wigner distribution (QSWD) by extending the Wigner distribution associated with quadratic …

The 2-D Hyper-complex Gabor quadratic-phase Fourier transform and uncertainty principles

MY Bhat, AH Dar - The Journal of Analysis, 2023 - Springer
In this paper, we present a novel integral transform known as the 2-D Hyper-complex
(quaternion) Gabor quadratic-phase Fourier transform (Q-GQPFT), which is embodiment of …

Uncertainty principles for the two-sided quaternion windowed quadratic-phase Fourier transform

MY Bhat, AH Dar, I Nurhidayat, S Pinelas - Symmetry, 2022 - mdpi.com
A recent addition to the class of integral transforms is the quaternion quadratic-phase
Fourier transform (Q-QPFT), which generalizes various signal and image processing tools …

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 …

Towards quaternion quadratic‐phase Fourier transform

M Younus Bhat, A Hamid Dar - Mathematical Methods in the …, 2023 - Wiley Online Library
The quadratic‐phase Fourier transform (QPFT) is a neoteric addition to the class of integral
transforms and embodies a variety of signal processing tools like the Fourier, fractional …

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-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 …

Convolution based quadratic-phase Stockwell transform: theory and uncertainty relations

AH Dar, MY Bhat - Multimedia Tools and Applications, 2024 - Springer
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 …

Some Essential Relations for the Quaternion Quadratic-Phase Fourier Transform

M Bahri, SA Abdul Karim - Mathematics, 2023 - mdpi.com
Motivated by the fact that the quaternion Fourier transform is a powerful tool in quaternion
signal analysis, here, we study the quaternion quadratic-phase Fourier transform, which is a …

Quaternion linear canonical S-transform and associated uncertainty principles

M Younus Bhat, AH Dar - International Journal of Wavelets …, 2023 - World Scientific
In this paper, we introduce the notion of quaternion linear canonical S-transform (Q-LCST)
which is an extension of the linear canonical S-transform and study the uncertainty …