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 …

Scaled ambiguity function and scaled Wigner distribution for LCT signals

AH Dar, MY Bhat - Optik, 2022 - Elsevier
In this article, a new version of ambiguity function (AF) and Wigner distribution (WD) based
on the linear canonical transform (LCT) and the fractional instantaneous auto-correlation are …

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 …

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 …

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 …

Discrete Octonion Linear Canonical Transform: Definition and Properties

WB Gao - Fractal and Fractional, 2024 - mdpi.com
In this paper, the discrete octonion linear canonical transform (DOCLCT) is defined.
According to the definition of the DOCLCT, some properties associated with the DOCLCT …

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 …

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 …