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Issue:
Fractional Quaternion Fourier Transform and Its Applications
Author(s):
GUO Liqiang
,
WANG Xingdong
,
CHANG Liqiu
Pages:
182
-
186
Year:
2009
Issue:
3
Journal:
Journal of Huaiyin Teachers College(Natural Science Edition)
Abstract:
在缩减双四元数代数系统上定义了分数阶四元数傅立叶变换.这一变换可以看成是缩减双四元数傅立叶变换的推广.同时推导了分数阶四元数傅立叶变换的帕塞瓦尔定理和卷积定理,给出了分数阶四元数傅立叶变换的快速算法,最后讨论了分数阶四元数傅立叶变换域滤波器的设计.
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