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20202026
most citedWigner Distribution and associated uncertainty principles in the framework of octonion Linear Canonical Transform

12 citations · 17 across the 14 of their papers we have counts for

collaborators

14 papers

math.FA2026

New Fractional Ambiguity Function Integrated with CNN-Based Machine Learning for Signal Classification

Aamir H. Dar, Prakhar Kumar Sonkar, Neeraj Kumar Sharma

A new fractional ambiguity function (NFrAF) derived from the fractional Fourier transform is introduced as a generalization of the classical ambiguity function. The fundamental ana…

math.FA2025

Advanced Wigner Distribution and Ambiguity Function in the Quadratic-phase Fourier Transform Domain: Mathematical Foundations and Practical Applications

Aamir H. Dar, Neeraj Kumar Sharma

In non-stationary signal processing, prior work has incorporated the quadratic-phase Fourier transform (QPFT) into the ambiguity function (AF) and Wigner distribution (WD) to enhan…

math.FA2024

Discrete Quaternion Quadratic Phase Fourier Transform

Aamir Hamid Dar

A novel addition to the family of integral transforms, the quadratic phase Fourier transform (QPFT) embodies a variety of signal processing tools, including the Fourier transform (…

eess.SP2023★ 1 cited

Special Affine Stockwell Transform Theory, Uncertainty Principles and Applications

Aamir Hamid Dar, Mohammad Younus Bhat

In this paper, we study the convolution structure in the special affine Fourier transform domain to combine the advantages of the well known special affine Fourier and Stockwell tr…

math.FA2022★ 12 cited

Wigner Distribution and associated uncertainty principles in the framework of octonion Linear Canonical Transform

Aamir H. Dar, M. Younus Bhat

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…

eess.SP2022★ 1 cited

Uncertainty Principles for the Short-time Free Metaplectic Transform

M. Younus Bhat, Aamir H. Dar

The free metaplectic transformation (FMT) has gained much popularity in recent times because of its various application in signal processing, paraxial optical systems, digital algo…

eess.SP2022

Octonion Spectrum of 3D Short time LCT Signals

Mohd Younus Bhat, Aamir Hamid Dar

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…

eess.SP2022

Quadratic phase wave packet transform

Mohd Younus Bhat, Aamir Hamid Dar, Didar Urynbassarova +1

The quadratic phase Fourier transform has gained much popularity in recent years because of its applications in image and signal processing. However, the QPFT is inadequate for loc…

eess.SP2021★ 2 cited

Uncertainty Inequalities for 3D Octonionic-valued Signals Associated with Octonion Offset Linear Canonical Transform

Mohammad Younus Bhat, Aamir Hamid Dar

he octonion offset linear canonical transform can be defined as a time shifted and frequency modulated version of the octonion linear canonical transform, a more general framework…

eess.SP2021

Quaternion Offset Linear Canonical Transform in One dimensional Setting

Mohammad Younus Bhat, Aamir Hamid Dar

In this paper, we introduce quaternion offset linear canonical transform of integrable and square integrable functions. Moreover, we show that the proposed transform satisfies all…

cs.IT2021

Donoho Starks and Hardys Uncertainty Principles for the Shortotime Quaternion Offset Linear Canonical Transform Donoho-Stark's and Hardy's Uncertainty Principles for the Short-time Quaternion Offset Linear Canonical Transform

Mohammad Younus Bhat, Aamir Hamid Dar

The quaternion offset linear canonical transform (QOLCT) which is time shifted and frequency modulated version of the quaternion linear canonical transform (QLCT) provides a more g…

math.FA2021

Uncertainty Principles for Quaternion Linear Canonical S Transform

Mohammad Younus Bhat, Aamir Hamid Dar

In this paper, we introduce the notion of Quaternion Linear Canonical Stockwell Transform which is an extension of the Linear Canonical Transform. We establish some inequalities li…

eess.SP2021

Convolution and Correlation Theorems for Wigner-Ville Distribution Associated with the Quaternion Offset Linear Canonical Transform

Mohammad Younus Bhat, Aamir Hamid Dar

The quaternion offset linear canonical transform(QOLCT) has gained much popularity in recent years because of its applications in many areas, including color image and signal proce…

math.FA2020★ 1 cited

Vector valued nonuniform multiresolution analysis associated with linear canonical transform

Mohd Younus Bhat, Aamir Hamid Dar

A multiresolution analysis associated with linear canonical transform was defined by Shah and Waseem for which the translation set is a discrete set which is not a group. In this p…