title: A universal modified LMS algorithm with iteration order hybrid switching.
abstract: 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 α∈(0,2) is investigated. The performance of FOMLMS with the iteration order in different interval (0<α<1or1<α<2) is separately analyzed. It turns out that, both of a larger iteration order (0<α<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.
authors.affiliation: Department of Automation, University of Science and Technology of China, Hefei 230027, P.R. China.
authors.forename: Songsong
authors.initials: S
authors.lastname: Cheng
authors.affiliation: Department of Automation, University of Science and Technology of China, Hefei 230027, P.R. China.
authors.forename: Yiheng
authors.initials: Y
authors.lastname: Wei
authors.affiliation: Department of Automation, University of Science and Technology of China, Hefei 230027, P.R. China.
authors.forename: Yuquan
authors.initials: Y
authors.lastname: Chen
authors.affiliation: Key Laboratory of Systems and Control, Institute of Systems Science, Chinese Academy of Sciences, Beijing 100190, P.R. China.
authors.forename: Shu
authors.initials: S
authors.lastname: Liang
authors.affiliation: Department of Automation, University of Science and Technology of China, Hefei 230027, P.R. China. Electronic address: yongwang@ustc.edu.cn.
authors.forename: Yong
authors.initials: Y
authors.lastname: Wang
keywords: Convergence speed; Fractional order calculus; Iteration order; Modified least mean square; Response speed; Switching