The algebra of 2D Gabor quaternionic offset linear canonical transform and uncertainty principles: The algebra of 2D Gabor quaternionic offset LCT and uncertainty …
The Gabor quaternionic offset linear canonical transform (GQOLCT) is defined as a
generalization of the quaternionic offset linear canonical transform (QOLCT). In this paper …
generalization of the quaternionic offset linear canonical transform (QOLCT). In this paper …
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 …
Fractional vector-valued nonuniform MRA and associated wavelet packets on L 2 (R, CM)
A generalization of Mallat's classical multiresolution analysis, based on the theory of spectral
pairs, was considered in two articles by Gabardo and Nashed. In this setting, the associated …
pairs, was considered in two articles by Gabardo and Nashed. In this setting, the associated …
Wigner distribution and associated uncertainty principles in the framework of octonion linear canonical transform
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 …
canonical transform (OLCT) that has become popular in present era due to its applications in …
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 …
which is an extension of the linear canonical S-transform and study the uncertainty …
Uncertainty inequalities for 3D octonionic-valued signals associated with octonion offset linear canonical transform
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 of …
modulated version of the octonion linear canonical transform, a more general framework of …
[HTML][HTML] Quadratic phase S-Transform: Properties and uncertainty principles
In this paper, a novel quadratic phase S-transform (QPST) is proposed, by generalizing the
S-transform (ST) with five parameters a, b, c, d and e. QPST displays the time and quadratic …
S-transform (ST) with five parameters a, b, c, d and e. QPST displays the time and quadratic …
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 …
Quaternion offset linear canonical transform in one-dimensional setting
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 the …
square integrable functions. Moreover, we show that the proposed transform satisfies all the …