Quadratic-phase wave packet transform

MY Bhat, AH Dar, D Urynbassarova, A Urynbassarova - Optik, 2022 - Elsevier
The quadratic-phase Fourier transform (QPFT) has gained much popularity in recent years
because of its applications in image and signal processing. However, the QPFT is …

Donoho-Stark's and Hardy's uncertainty principles for the short-time quaternion offset linear canonical transform

AH Dar, YM Bhat - Filomat, 2023 - doiserbia.nb.rs
The quaternion offset linear canonical transform (QOLCT) which is time-shifted and
frequencymodulated version of the quaternion linear canonical transform (QLCT) provides a …

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 …

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 …

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 …

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 …