Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Wen-Biao Gao"'
Autor:
Wen-Biao Gao
Publikováno v:
Fractal and Fractional, Vol 8, Iss 3, p 154 (2024)
In this paper, the discrete octonion linear canonical transform (DOCLCT) is defined. According to the definition of the DOCLCT, some properties associated with the DOCLCT are explored, such as linearity, scaling, boundedness, Plancherel theorem, inve
Externí odkaz:
https://doaj.org/article/d9a09651d3e4444fb358d275786fca16
Autor:
Zhen-Wei Li, Wen-Biao Gao
Publikováno v:
Axioms, Vol 12, Iss 6, p 554 (2023)
In this paper, we generalize the N-dimensional Heisenberg’s inequalities for the windowed linear canonical transform (WLCT) of a complex function. Firstly, the definition for N-dimensional WLCT of a complex function is given. In addition, the N-dim
Externí odkaz:
https://doaj.org/article/9d93be3f252f4202bcb9f5cec2633d1f
Publikováno v:
Mathematics, Vol 8, Iss 11, p 1928 (2020)
In this paper, the solvability of a class of convolution equations is discussed by using two-dimensional (2D) fractional Fourier transform (FRFT) in polar coordinates. Firstly, we generalize the 2D FRFT to the polar coordinates setting. The relations
Externí odkaz:
https://doaj.org/article/34d0e2a16b8149a9884d9a517133e160
Autor:
Wen‐Biao Gao, Bing‐Zhao Li
Publikováno v:
Mathematical Methods in the Applied Sciences. 46:321-338
Autor:
Wen‐Biao Gao, Bing‐Zhao Li
Publikováno v:
Mathematical Methods in the Applied Sciences.
Autor:
Wen-Biao Gao, Bing-Zhao Li
Publikováno v:
Circuits, Systems, and Signal Processing. 41:1324-1348
In this paper, we investigate the (two-sided) quaternion windowed linear canonical transform (QWLCT) and study the uncertainty principles associated with the QWLCT. Firstly, several important properties of the QWLCT such as bounded, shift, modulation
Autor:
Bing-Zhao Li, Wen-Biao Gao
Publikováno v:
IEEE Transactions on Signal Processing. 69:6386-6398
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 signals whose frequencies vary with time. In this paper, we utilize
Publikováno v:
Signal, Image and Video Processing. 15:103-110
The quaternion linear canonical transform (QLCT) has been investigated and used for many years by various research communities; it has been shown to be a powerful tool for signal processing. In this paper, a novel canonical convolution operator and a
Autor:
Wen-Biao Gao, Bing-Zhao Li
Publikováno v:
International Journal of Wavelets, Multiresolution and Information Processing. 20
The windowed offset linear canonical transform (WOLCT) can be identified as a generalization of the windowed linear canonical transform (WLCT). In this paper, we generalize several different uncertainty principles for the WOLCT, including Heisenberg
Autor:
Bing-Zhao Li, Wen-Biao Gao
Publikováno v:
Advances in Applied Clifford Algebras. 30
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 properties of newly defined QWLCT, such as bounded, shift, modulation, orthogo