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A universal modified LMS algorithm with iteration order hybrid switching
Cheng, Songsong1; Wei, Yiheng1; Chen, Yuquan1; Liang, Shu2; Wang, Yong1
2017-03-01
Source PublicationISA TRANSACTIONS
ISSN0019-0578
Volume67Pages:67-75
AbstractThis 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.
KeywordFractional order calculus Modified least mean square Response speed Convergence speed Iteration order Switching
DOI10.1016/j.isatra.2016.11.019
Language英语
Funding ProjectNational Natural Science Foundation of China[61573332] ; National Natural Science Foundation of China[61601431] ; Fundamental Research Funds for the Central Universities[WK2100100028]
WOS Research AreaAutomation & Control Systems ; Engineering ; Instruments & Instrumentation
WOS SubjectAutomation & Control Systems ; Engineering, Multidisciplinary ; Instruments & Instrumentation
WOS IDWOS:000397355900007
PublisherELSEVIER SCIENCE INC
Citation statistics
Cited Times:17[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/25074
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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