Tighter Uncertainty Principles Associated with the Non-isotropic Angular Stockwell Transform
X Wang, S Zheng - Circuits, Systems, and Signal Processing, 2024 - Springer
In this paper, we study several tighter uncertainty principles (UPs) for the non-isotropic
angular Stockwell transform (NAST). By employing the polar coordinate representation of …
angular Stockwell transform (NAST). By employing the polar coordinate representation of …
Biquaternion ambiguity function and associated uncertainty principles
Biquaternion ambiguity function and associated uncertainty principles - Yubetsu Shibata
Yubetsu Shibata logo About Browse For Publishers Contact 1.International Journal of …
Yubetsu Shibata logo About Browse For Publishers Contact 1.International Journal of …
Special Affine Wigner–Ville Distribution in Octonion Domains: Theory and Applications
YA Bhat, NA Sheikh - Optik, 2023 - Elsevier
Wigner–Ville distribution (WVD) is considered as a promising tool in signal processing and
optics. Owing to the distinguishing features of the octonion algebra and more degrees of …
optics. Owing to the distinguishing features of the octonion algebra and more degrees of …
Lp‐theory of linear canonical transforms and related uncertainty principles
X Chen, P Dang, W Mai - Mathematical Methods in the Applied …, 2024 - Wiley Online Library
In this paper, we revisit some fundamental properties of linear canonical transform
(abbreviated as LCT). In particular, we prove the additive property rigorously for LCT in the …
(abbreviated as LCT). In particular, we prove the additive property rigorously for LCT in the …
Novel quaternionic fractional wavelet transform
TA Sheikh, NA Sheikh - International Journal of Applied and …, 2022 - Springer
In this paper, we introduce the notion of a novel quaternionic fractional wavelet transform
(FRWT). Firstly, we establish the inversion formula and Parseval theorem for the new …
(FRWT). Firstly, we establish the inversion formula and Parseval theorem for the new …
Biquaternion Windowed Linear Canonical Transform
In this paper, we introduce the notion of windowed linear canonical transform in
biquaternion setting namely Biquaternion Windowed Linear Canonical Transform …
biquaternion setting namely Biquaternion Windowed Linear Canonical Transform …
Short time quadratic-phase quaternionic Fourier transform and associated uncertainty principle
TA Sheikh, NA Sheikh - São Paulo Journal of Mathematical Sciences, 2023 - Springer
In this work, we introduce quadratic-phase quaternionic Fourier transform (QFT) and short
time quadratic phase QFT. Quadratic phase QFT lead us to Plancherel theorem and …
time quadratic phase QFT. Quadratic phase QFT lead us to Plancherel theorem and …
[引用][C] Biquaternion linear canonical stockwell transform and associated uncertainty principles
The intersection of geometric methods and signal processing has led to significant
advancements in various fields, including physics, engineering, and mathematics. In recent …
advancements in various fields, including physics, engineering, and mathematics. In recent …
[引用][C] Revisit of uncertainty principles via OPS method approach in the framework of quaternion quadratic phase Fourier transform
S Varghese, M Kundu - … Journal of Geometric Methods in Modern …, 2024 - World Scientific
In this paper, we explore various uncertainty principles within the framework of the
quaternion quadratic phase Fourier transform (QQPFT), which is the quaternion extension of …
quaternion quadratic phase Fourier transform (QQPFT), which is the quaternion extension of …