A universal modified LMS algorithm with iteration order hybrid switching

doi:10.1016/j.isatra.2016.11.019

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	A universal modified LMS algorithm with iteration order hybrid switching
	Cheng, Songsong 1; Wei, Yiheng 1; Chen, Yuquan 1; Liang, Shu 2; Wang, Yong 1
	2017-03-01
发表期刊	ISA TRANSACTIONS
ISSN	0019-0578
卷号	67 页码:67-75
摘要	This paper presents a fractional order modified least square algorithm (FOMLMS), which involves an iteration order switch strategy, A FOMLMS scheme whose iteration order can be extended into alpha is an element of (0, 2) is investigated. The performance of FOMLMS with the iteration order in different interval (0 < alpha < 1 or 1 < alpha < 2) is separately analyzed. It turns out that, both of a larger iteration order (0 < alpha < 2) and iteration step size can always result in a faster response speed and convergence speed. Therefore, in order to obtain a satisfying convergence speed without sacrificing other performance, a hybrid switch law of iteration order is naturally developed. Finally, the validity of this proposed algorithm is illustrated by three numerical examples. (C) 2016 ISA. Published by Elsevier Ltd. All rights reserved.
关键词	Fractional order calculus Modified least mean square Response speed Convergence speed Iteration order Switching
DOI	10.1016/j.isatra.2016.11.019
语种	英语
资助项目	National Natural Science Foundation of China[61573332] ; National Natural Science Foundation of China[61601431] ; Fundamental Research Funds for the Central Universities[WK2100100028]
WOS研究方向	Automation & Control Systems ; Engineering ; Instruments & Instrumentation
WOS类目	Automation & Control Systems ; Engineering, Multidisciplinary ; Instruments & Instrumentation
WOS记录号	WOS:000397355900007
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25074
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Yong
作者单位	1.Univ Sci & Technol China, Dept Automat, Hefei 230027, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cheng, Songsong,Wei, Yiheng,Chen, Yuquan,et al. A universal modified LMS algorithm with iteration order hybrid switching[J]. ISA TRANSACTIONS,2017,67:67-75.
APA	Cheng, Songsong,Wei, Yiheng,Chen, Yuquan,Liang, Shu,&Wang, Yong.(2017).A universal modified LMS algorithm with iteration order hybrid switching.ISA TRANSACTIONS,67,67-75.
MLA	Cheng, Songsong,et al."A universal modified LMS algorithm with iteration order hybrid switching".ISA TRANSACTIONS 67(2017):67-75.