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 …

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 two‐sided short‐time quaternionic offset linear canonical transform and associated convolution and correlation

MY Bhat, AH Dar - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
In this paper, we introduce the two‐dimensional short‐time quaternion offset linear
canonical transform (ST‐QOLCT), which is a generalization of the classical short‐time offset …

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 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 …

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 …

Wigner-Ville distribution and ambiguity function associated with the quaternion offset linear canonical transform

MY Bhat, IM Almanjahie, AH Dar… - Demonstratio …, 2022 - degruyter.com
Abstract Wigner-Ville transform or Wigner-Ville distribution (WVD) associated with
quaternion offset linear canonical transform (QOLCT) was proposed by Bhat and Dar. This …

On the independent significance of generalizations of the Wigner distribution function

Y Zheng, JJ Healy - JOSA A, 2023 - opg.optica.org
The Wigner distribution function (WDF) is a significant time-frequency analysis tool in, eg,
the theory of optical coherence and signal processing. Recently, various generalizations of …

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 …

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 …