A universal modified LMS algorithm with iteration order hybrid switching
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<1...
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| Published in | ISA transactions Vol. 67; pp. 67 - 75 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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Elsevier Ltd
01.03.2017
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| ISSN | 0019-0578 1879-2022 1879-2022 |
| DOI | 10.1016/j.isatra.2016.11.019 |
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| 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.
•A fractional order modified least square algorithm (FOMLMS) with (0<α<2) is proposed.•The performance of FOMLMS with α in two interval (0<α<1 or 1<α<2) is separately analyzed.•A hybrid switch law of α is developed to obtain a better convergence speed. |
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| AbstractList | 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.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. 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. 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. •A fractional order modified least square algorithm (FOMLMS) with (0<α<2) is proposed.•The performance of FOMLMS with α in two interval (0<α<1 or 1<α<2) is separately analyzed.•A hybrid switch law of α is developed to obtain a better convergence speed. |
| Author | Liang, Shu Wei, Yiheng Cheng, Songsong Wang, Yong Chen, Yuquan |
| Author_xml | – sequence: 1 givenname: Songsong surname: Cheng fullname: Cheng, Songsong organization: Department of Automation, University of Science and Technology of China, Hefei 230027, P.R. China – sequence: 2 givenname: Yiheng surname: Wei fullname: Wei, Yiheng organization: Department of Automation, University of Science and Technology of China, Hefei 230027, P.R. China – sequence: 3 givenname: Yuquan surname: Chen fullname: Chen, Yuquan organization: Department of Automation, University of Science and Technology of China, Hefei 230027, P.R. China – sequence: 4 givenname: Shu surname: Liang fullname: Liang, Shu organization: Key Laboratory of Systems and Control, Institute of Systems Science, Chinese Academy of Sciences, Beijing 100190, P.R. China – sequence: 5 givenname: Yong surname: Wang fullname: Wang, Yong email: yongwang@ustc.edu.cn organization: Department of Automation, University of Science and Technology of China, Hefei 230027, P.R. China |
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| SubjectTerms | Convergence speed Fractional order calculus Iteration order Modified least mean square Response speed Switching |
| Title | A universal modified LMS algorithm with iteration order hybrid switching |
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