Two-sided fractional Clifford-Fourier transformation
Two-sided fractional Clifford-Fourier transformation
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两侧分数式 Clifford-Fourier 变换
DOI：
10.1080/17476933.2021.1916921
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发表时间：
2022
影响因子：
0.9
通讯作者：
Zunfeng Li
中科院分区：
文献类型：
--
作者：
Heju Yang;Haipan Shi;Zunfeng Li
本文定义了双边分数Clifford-Fourier变换（FrCFT），并给出了它的一些性质。首先，我们给出了双边FrCFT的定义，并讨论了双边Clifford-Fourier变换（CFT）与双边FrCFT之间的关系。然后给出了双边FrCFT的逆变换，并讨论了其时频特性。最后，我们研究了双边FrCFT的微分性质和Plancherel恒等式。
In this paper, the two-sided fractional Clifford–Fourier transformation (FrCFT) is defined and some of its properties are given. First, we give the definition of the two-sided FrCFT and discuss the relationship between the two-sided Clifford–Fourier transformation (CFT) and the two-sided FrCFT. Then, the inverse transformation of the two-sided FrCFT is given and the time–frequency properties are discussed. Finally, we study differential properties and the Plancherel identity of the two-sided FrCFT.