Novel uncertainty principles for two-sided quaternion linear canonical transform

YN Zhang, BZ Li - Advances in Applied Clifford Algebras, 2018 - Springer
The uncertainty principle, which offers information about a function and its Fourier transform
in the time-frequency plane, is particularly powerful in mathematics, physics and signal …

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 …

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 …

Quaternion Wigner–Ville distribution associated with the linear canonical transforms

XL Fan, KI Kou, MS Liu - Signal Processing, 2017 - Elsevier
The quaternion linear canonical transform (QLCT), a generalization of the classical 2D
Fourier transform, has gained much popularity in recent years because of its applications in …

Uncertainty principle for the two-sided quaternion windowed Fourier transform

B Kamel, E Tefjeni - Integral Transforms and Special Functions, 2019 - Taylor & Francis
Full article: Uncertainty principle for the two-sided quaternion windowed Fourier transform Skip
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

Uncertainty principle for the two sided quaternion windowed Fourier transform

K Brahim, E Tefjeni - Journal of Pseudo-Differential Operators and …, 2020 - Springer
In this paper, we study the quaternion windowed Fourier transform and prove the Beckner's
uncertainty principle in term of entropy, Lieb uncertainty principle and the Heisenberg …

Coupled fractional Wigner distribution with applications to LFM signals

AA Teali, FA Shah, AY Tantary, KS Nisar - Fractals, 2023 - World Scientific
The coupled fractional Fourier transform is a much recent ramification of the two-
dimensional fractional Fourier transform, wherein the kernel is not a tensor product of one …

Convolution and correlation theorems for Wigner-Ville distribution associated with linear canonical transform

M Bahri, R Ashino - 2015 12th International Conference on …, 2015 - ieeexplore.ieee.org
Generalized convolution and correlation theorems for the Wigner-Ville distribution
(transform) associated with linear canonical transform (WVD-LCT) are established. The …

The Wigner-Ville distribution associated with quadratic-phase Fourier transform

PB Sharma - American Institute of Physics Conference …, 2022 - ui.adsabs.harvard.edu
The generalization of the Wignar-Ville distribution to the quadratic-phase Fourier transform
so-called the Wigner-Ville distribution associated with quadratic-phase Fourier transform …

Biquaternion ambiguity function and associated uncertainty principles

O Ahmad, AA Dar - … Journal of Geometric Methods in Modern …, 2024 - shibata.yubetsu.com
Biquaternion ambiguity function and associated uncertainty principles - Yubetsu Shibata
Yubetsu Shibata logo About Browse For Publishers Contact 1.International Journal of …