Octonion spectrum of 3D short-time LCT signals

MY Bhat, AH Dar - Optik, 2022 - Elsevier
This work is devoted to the development of the octonion linear canonical transform (OLCT)
theory proposed by Gao and Li in 2021 that has been designated as an emerging tool in the …

Scaled Wigner distribution in the offset linear canonical domain

MY Bhat, AH Dar - Optik, 2022 - Elsevier
The scaled Wigner distribution is obtained from the classical Wigner distribution by replacing
the instantaneous auto-correlation with fractional instantaneous auto-correlation which 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 …

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 …

Convolution theorems associated with quaternion linear canonical transform and applications

X Hu, D Cheng, KI Kou - Signal Processing, 2023 - Elsevier
Novel types of convolution operators for quaternion linear canonical transform (QLCT) are
proposed. Type one and two are defined in the spatial and QLCT spectral domains …

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 …

Uncertainty principles for Wigner–Ville distribution associated with the quaternion offset linear canonical transform

D Urynbassarova, Y El Haoui, F Zhang - Circuits, Systems, and Signal …, 2023 - Springer
Wigner–Ville distribution (WVD) associated with the quaternion offset linear canonical
transform (QOLCT)(WVD–QOLCT) is the known furthest generalization of the WVD 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 …