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Simplex Complex Forms for Two-Sided Quaternion Linear Canonical Transform
作者:
Mawardi Bahri
DOI:
10.1088/1742-6596/1180/1/012013
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参考文章
(16)
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Artyom M. Grigoryan, Sos S. Agaian,
Tensor transform-based quaternion fourier transform algorithm
Information Sciences.
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2.
Eckhard Hitzer, Stephen J. Sangwine,
The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations
arXiv: Rings and Algebras.
pp. 15- 39 ,(2013) ,
10.1007/978-3-0348-0603-9_2
3.
T.A. Ell,
Quaternion-Fourier transforms for analysis of two-dimensional linear time-invariant partial differential systems
conference on decision and control.
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10.1109/CDC.1993.325510
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H. De Bie, N. De Schepper, T.A. Ell, K. Rubrecht, S.J. Sangwine,
Connecting spatial and frequency domains for the quaternion Fourier transform
Applied Mathematics and Computation.
,vol. 271, pp. 581- 593 ,(2015) ,
10.1016/J.AMC.2015.09.045
5.
Deyun Wei, Qiwen Ran, Yuanmin Li,
A Convolution and Correlation Theorem for the Linear Canonical Transform and Its Application
Circuits Systems and Signal Processing.
,vol. 31, pp. 301- 312 ,(2012) ,
10.1007/S00034-011-9319-4
6.
Mawardi Bahri, Ryuichi Ashino, Rémi Vaillancourt,
CONTINUOUS QUATERNION FOURIER AND WAVELET TRANSFORMS
International Journal of Wavelets, Multiresolution and Information Processing.
,vol. 12, pp. 1460003- ,(2014) ,
10.1142/S0219691314600030
7.
Mawardi Bahri, Armin Lawi, Naimah Aris, Muh. Saleh AF, Muh. Nur,
Relationships between Convolution and Correlation for Fourier Transform and Quaternion Fourier Transform
International Journal of Mathematical Analysis.
,vol. 7, pp. 2101- 2109 ,(2013) ,
10.12988/IJMA.2013.36157
8.
Mawardi Bahri,
A Modified Uncertainty Principle for Two-Sided Quaternion Fourier Transform
Advances in Applied Clifford Algebras.
,vol. 26, pp. 513- 527 ,(2016) ,
10.1007/S00006-015-0617-Y
9.
Eckhard Hitzer,
General two-sided quaternion Fourier transform, convolution and Mustard convolution
Advances in Applied Clifford Algebras.
,vol. 27, pp. 381- 395 ,(2017) ,
10.1007/S00006-016-0684-8
10.
Kit Ian Kou, Jianyu Ou, Joao Morais,
Uncertainty principles associated with quaternionic linear canonical transforms
Mathematical Methods in The Applied Sciences.
,vol. 39, pp. 2722- 2736 ,(2016) ,
10.1002/MMA.3724
来源期刊
Journal of Physics: Conference Series
IOP Publishing
2019 年,
Volume: 1180, Issue: 1,
Page: 012013
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