Donoho-Stark's and Hardy's uncertainty principles for the short-time quaternion offset linear canonical transform
The quaternion offset linear canonical transform (QOLCT) which is time-shifted and
frequencymodulated version of the quaternion linear canonical transform (QLCT) provides a …
frequencymodulated version of the quaternion linear canonical transform (QLCT) provides a …
One dimensional quaternion linear canonical transform in probability theory
The quaternion linear canonical transform is considered as central piece in different fields
like applied mathematics, engineering, computer sciences, and statistics. In this work, we …
like applied mathematics, engineering, computer sciences, and statistics. In this work, we …
Convolution based quadratic-phase Stockwell transform: theory and uncertainty relations
In the field of optics and signal processing, the novel quadratic-phase Fourier transform
(QPFT) has emerged as a powerful tool. However, it has a drawback as it fails in locating the …
(QPFT) has emerged as a powerful tool. However, it has a drawback as it fails in locating the …
Probabilistic Entropy and Other Uncertainty Principles for the Multi-dimensional Special Affine Fourier Transform
Abstract The multi-dimensional Special Affine Fourier transform (MSAFT) is an intriguing
new addition to the integral transform class, which generalizes several popular unitary …
new addition to the integral transform class, which generalizes several popular unitary …
Linear canonical Hankel domain based Stockwell transform and associated Heisenberg's uncertainty principle
Linear canonical Hankel domain based Stockwell transform (LCHST) is the generalization of
Hankel-Stockwell transform. In this paper, we propose the definition of LCHST and then …
Hankel-Stockwell transform. In this paper, we propose the definition of LCHST and then …
Special affine stockwell transform: Theory, uncertainty principles and applications
In this paper, we combine the benefits of the well-known special affine Fourier and Stockwell
transforms into a novel integral transform dubbed as special affine Stockwell transform and …
transforms into a novel integral transform dubbed as special affine Stockwell transform and …
[HTML][HTML] Novel Uncertainty Principles Related to Quaternion Linear Canonical S-Transform
In this work, we introduce the quaternion linear canonical S-transform, which is a
generalization of the linear canonical S-transform using quaternion. We investigate its …
generalization of the linear canonical S-transform using quaternion. We investigate its …
Generalized sampling expansion for the quaternion linear canonical transform
The theory of quaternions has gained firm ground in recent times and is being widely
explored, with the field of signal and image processing being no exception. However, many …
explored, with the field of signal and image processing being no exception. However, many …
A mathematical survey on Fourier type integral transform and their offshoots: windowed Fourier transform, wavelet transform and Stockwell transform
This comprehensive review paper delves into the intricacies of advanced Fourier type
integral transforms and their mathematical properties, with a particular focus on fractional …
integral transforms and their mathematical properties, with a particular focus on fractional …
Clifford‐valued linear canonical wavelet transform and the corresponding uncertainty principles
S Rafiq, MY Bhat - Mathematical Methods in the Applied Sciences - Wiley Online Library
The present article establishes a novel transform known as Clifford‐valued linear canonical
wavelet transform which is intended to represent nn‐dimensional Clifford‐valued signals at …
wavelet transform which is intended to represent nn‐dimensional Clifford‐valued signals at …