Reduced biquaternion canonical transform, convolution and correlation

	Reduced biquaternion canonical transform, convolution and correlation
其他题名	论文其他题名
	Guo L. Q.; Zhu M.; Ge X. H.
	2011
发表期刊	Signal Processing
ISSN	0165-1684
卷号	91 期号:8 页码:2147-2153
摘要	The reduced biquaternion canonical transform (RBCT) is defined in this paper, which is the generalization of reduced biquaternion Fourier transform (RBFT). The Parseval's theorem related to RBCT is investigated. The concepts of reduced biquaternion canonical convolution (RBCCV) and reduced biquaternion canonical correlation (RBCCR) are defined, then the convolution and correlation theorem of RBCT are developed in this paper. All these theorems can also be seen as the generalizations of the corresponding theorem related to RBFT. Finally, the discrete form and fast algorithm of RBCT are presented, and the computation complexity is similar to FFT. (C) 2011 Elsevier B.V. All rights reserved.
收录类别	SCI ; EI
语种	英语
文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/26051
专题	中科院长春光机所知识产出
推荐引用方式 GB/T 7714	Guo L. Q.,Zhu M.,Ge X. H.. Reduced biquaternion canonical transform, convolution and correlation[J]. Signal Processing,2011,91(8):2147-2153.
APA	Guo L. Q.,Zhu M.,&Ge X. H..(2011).Reduced biquaternion canonical transform, convolution and correlation.Signal Processing,91(8),2147-2153.
MLA	Guo L. Q.,et al."Reduced biquaternion canonical transform, convolution and correlation".Signal Processing 91.8(2011):2147-2153.

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