[图书][B] Quaternion and Clifford Fourier Transforms
E Hitzer - 2021 - taylorfrancis.com
Quaternion and Clifford Fourier Transforms describes the development of quaternion and
Clifford Fourier transforms in Clifford (geometric) algebra over the last 30 years. It is the first …
Clifford Fourier transforms in Clifford (geometric) algebra over the last 30 years. It is the first …
Directional uncertainty principle for quaternion Fourier transform
EMS Hitzer - Advances in Applied Clifford Algebras, 2010 - Springer
This paper derives a new directional uncertainty principle for quaternion valued functions
subject to the quaternion Fourier transformation. This can be generalized to establish …
subject to the quaternion Fourier transformation. This can be generalized to establish …
Quaternion windowed linear canonical transform of two-dimensional signals
WB Gao, BZ Li - Advances in Applied Clifford Algebras, 2020 - Springer
We investigate the 2D quaternion windowed linear canonical transform (QWLCT) in this
paper. Firstly, we propose the new definition of the QWLCT, and then several important …
paper. Firstly, we propose the new definition of the QWLCT, and then several important …
Some properties of windowed linear canonical transform and its logarithmic uncertainty principle
M Bahri, R Ashino - International Journal of Wavelets …, 2016 - World Scientific
Based on the relationship between the Fourier transform (FT) and linear canonical transform
(LCT), a logarithmic uncertainty principle and Hausdorff–Young inequality in the LCT …
(LCT), a logarithmic uncertainty principle and Hausdorff–Young inequality in the LCT …
The two‐sided short‐time quaternionic offset linear canonical transform and associated convolution and correlation
In this paper, we introduce the two‐dimensional short‐time quaternion offset linear
canonical transform (ST‐QOLCT), which is a generalization of the classical short‐time offset …
canonical transform (ST‐QOLCT), which is a generalization of the classical short‐time offset …
Uncertainty principle for the two-sided quaternion windowed linear canonical transform
WB Gao, BZ Li - Circuits, Systems, and Signal Processing, 2022 - Springer
In this paper, we investigate the (two-sided) quaternion windowed linear canonical transform
(QWLCT) and study the uncertainty principles associated with the QWLCT. First, several …
(QWLCT) and study the uncertainty principles associated with the QWLCT. First, several …
Two-dimensional quaternion wavelet transform
M Bahri, R Ashino, R Vaillancourt - Applied Mathematics and Computation, 2011 - Elsevier
In this paper we introduce the continuous quaternion wavelet transform (CQWT). We
express the admissibility condition in terms of the (right-sided) quaternion Fourier transform …
express the admissibility condition in terms of the (right-sided) quaternion Fourier transform …
Sharp Hausdorff-Young inequalities for the quaternion Fourier transforms
P Lian - Proceedings of the American Mathematical Society, 2020 - ams.org
The quaternion Fourier transforms are powerful tools in modern data analysis, in particular
for color image processing. At present, there are mainly three different quaternion Fourier …
for color image processing. At present, there are mainly three different quaternion Fourier …
History of quaternion and Clifford-Fourier transforms and wavelets
F Brackx, E Hitzer, SJ Sangwine - Quaternion and Clifford Fourier …, 2013 - Springer
The development of hypercomplex Fourier transforms and wavelets has taken place in
several different threads, reflected in the overview of the subject presented in this chapter …
several different threads, reflected in the overview of the subject presented in this chapter …
Octonion short-time Fourier transform for time-frequency representation and its applications
WB Gao, BZ Li - IEEE Transactions on signal processing, 2021 - ieeexplore.ieee.org
The octonion Fourier transform (OFT) is a useful tool for signal processing and analysis.
However, due to the lack of time localization information, it is not suitable for processing …
However, due to the lack of time localization information, it is not suitable for processing …