Comments on “Fractional LMS algorithm”
The purpose of this note is to point out that the recently proposed fractional least mean squares (FLMS) algorithm, whose derivation is based on fractional derivative, is not suitable for adaptive signal processing. Our claims are verified via extensive simulation results with comparison with the le...
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| Published in | Signal processing Vol. 133; pp. 219 - 226 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.04.2017
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0165-1684 1872-7557 |
| DOI | 10.1016/j.sigpro.2016.11.009 |
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| Abstract | The purpose of this note is to point out that the recently proposed fractional least mean squares (FLMS) algorithm, whose derivation is based on fractional derivative, is not suitable for adaptive signal processing. Our claims are verified via extensive simulation results with comparison with the least mean squares (LMS) algorithm, indicating that the new method does not have any advantages over the classical one. |
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| AbstractList | The purpose of this note is to point out that the recently proposed fractional least mean squares (FLMS) algorithm, whose derivation is based on fractional derivative, is not suitable for adaptive signal processing. Our claims are verified via extensive simulation results with comparison with the least mean squares (LMS) algorithm, indicating that the new method does not have any advantages over the classical one. |
| Author | Wen, Fuxi So, Hing Cheung Bershad, Neil J. |
| Author_xml | – sequence: 1 givenname: Neil J. surname: Bershad fullname: Bershad, Neil J. email: bershad@ece.uci.edu organization: Department of Electrical Engineering and Computer Science, University of California-Irvine, USA – sequence: 2 givenname: Fuxi surname: Wen fullname: Wen, Fuxi email: wenfuxi@hotmail.com organization: Information Systems Technology and Design, Singapore University of Technology and Design, Singapore – sequence: 3 givenname: Hing Cheung surname: So fullname: So, Hing Cheung email: hcso@ee.cityu.edu.hk organization: Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China |
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| CitedBy_id | crossref_primary_10_1016_j_sigpro_2021_108405 crossref_primary_10_1140_epjp_s13360_021_01482_0 crossref_primary_10_1016_j_apacoust_2020_107561 crossref_primary_10_1016_j_ymssp_2018_10_031 crossref_primary_10_1109_TCSII_2021_3113465 crossref_primary_10_3389_fenrg_2024_1467637 crossref_primary_10_1016_j_ymssp_2021_108056 crossref_primary_10_1007_s00034_020_01410_0 crossref_primary_10_1016_j_neucom_2022_10_038 crossref_primary_10_1007_s00034_021_01715_8 crossref_primary_10_1007_s11071_020_05850_w crossref_primary_10_1109_TNNLS_2019_2899219 crossref_primary_10_1109_TSP_2022_3215735 crossref_primary_10_1007_s00034_019_01091_4 crossref_primary_10_1007_s00202_021_01438_8 |
| Cites_doi | 10.1016/j.sigpro.2015.08.005 10.1016/j.sigpro.2014.04.012 10.1007/s11071-014-1748-8 10.1016/j.sigpro.2015.06.001 10.1016/j.sigpro.2015.04.015 10.1007/s11071-015-2279-7 10.1016/j.sigpro.2014.06.015 |
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| References | Chaudhary, Raja (bib5) 2015; 79 Chaudhary, Raja, Khan (bib4) 2015; 82 Raja, Qureshi (bib1) 2009; 35 Chaudhary, Raja (bib6) 2015; 116 Aslam (bib8) 2016; 119 Raja, Chaudhary (bib2) 2015; 107 Aslam (bib7) 2015; 117 Aslam, Raja (bib3) 2015; 107 Raja (10.1016/j.sigpro.2016.11.009_bib1) 2009; 35 Raja (10.1016/j.sigpro.2016.11.009_bib2) 2015; 107 Aslam (10.1016/j.sigpro.2016.11.009_bib7) 2015; 117 Aslam (10.1016/j.sigpro.2016.11.009_bib3) 2015; 107 Chaudhary (10.1016/j.sigpro.2016.11.009_bib4) 2015; 82 Chaudhary (10.1016/j.sigpro.2016.11.009_bib5) 2015; 79 Aslam (10.1016/j.sigpro.2016.11.009_bib8) 2016; 119 Chaudhary (10.1016/j.sigpro.2016.11.009_bib6) 2015; 116 |
| References_xml | – volume: 107 start-page: 433 year: 2015 end-page: 443 ident: bib3 article-title: A new adaptive strategy to improve online secondary path modeling in active noise control systems using fractional signal processing approach publication-title: Signal Process. – volume: 107 start-page: 327 year: 2015 end-page: 339 ident: bib2 article-title: Two-stage fractional least mean square identification algorithm for parameter estimation of CARMA systems publication-title: Signal Process. – volume: 82 start-page: 1811 year: 2015 end-page: 1830 ident: bib4 article-title: Design of modified fractional adaptive strategies for Hammerstein nonlinear control autoregressive systems publication-title: Nonlinear Dyn. – volume: 116 start-page: 141 year: 2015 end-page: 151 ident: bib6 article-title: Design of fractional adaptive strategy for input nonlinear Box–Jenkins systems publication-title: Signal Process. – volume: 79 start-page: 1385 year: 2015 end-page: 1397 ident: bib5 article-title: Identification of Hammerstein nonlinear ARMAX systems using nonlinear adaptive algorithms publication-title: Nonlinear Dyn. – volume: 117 start-page: 279 year: 2015 end-page: 280 ident: bib7 article-title: Comments on “Two-stage fractional least mean square identification algorithm for parameter estimation of CARMA systems” publication-title: Signal Process. – volume: 119 start-page: 169 year: 2016 end-page: 173 ident: bib8 article-title: Comments on “Design of fractional adaptive strategy for input nonlinear Box–Jenkins systems” publication-title: Signal Process. – volume: 35 start-page: 14 year: 2009 end-page: 21 ident: bib1 article-title: A modified least mean square algorithm using fractional derivative and its application to system identification publication-title: Eur. J. Sci. Res. – volume: 119 start-page: 169 year: 2016 ident: 10.1016/j.sigpro.2016.11.009_bib8 article-title: Comments on “Design of fractional adaptive strategy for input nonlinear Box–Jenkins systems” publication-title: Signal Process. doi: 10.1016/j.sigpro.2015.08.005 – volume: 107 start-page: 433 year: 2015 ident: 10.1016/j.sigpro.2016.11.009_bib3 article-title: A new adaptive strategy to improve online secondary path modeling in active noise control systems using fractional signal processing approach publication-title: Signal Process. doi: 10.1016/j.sigpro.2014.04.012 – volume: 79 start-page: 1385 issue: 2 year: 2015 ident: 10.1016/j.sigpro.2016.11.009_bib5 article-title: Identification of Hammerstein nonlinear ARMAX systems using nonlinear adaptive algorithms publication-title: Nonlinear Dyn. doi: 10.1007/s11071-014-1748-8 – volume: 117 start-page: 279 year: 2015 ident: 10.1016/j.sigpro.2016.11.009_bib7 article-title: Comments on “Two-stage fractional least mean square identification algorithm for parameter estimation of CARMA systems” publication-title: Signal Process. doi: 10.1016/j.sigpro.2015.06.001 – volume: 116 start-page: 141 year: 2015 ident: 10.1016/j.sigpro.2016.11.009_bib6 article-title: Design of fractional adaptive strategy for input nonlinear Box–Jenkins systems publication-title: Signal Process. doi: 10.1016/j.sigpro.2015.04.015 – volume: 82 start-page: 1811 issue: 4 year: 2015 ident: 10.1016/j.sigpro.2016.11.009_bib4 article-title: Design of modified fractional adaptive strategies for Hammerstein nonlinear control autoregressive systems publication-title: Nonlinear Dyn. doi: 10.1007/s11071-015-2279-7 – volume: 35 start-page: 14 issue: 1 year: 2009 ident: 10.1016/j.sigpro.2016.11.009_bib1 article-title: A modified least mean square algorithm using fractional derivative and its application to system identification publication-title: Eur. J. Sci. Res. – volume: 107 start-page: 327 year: 2015 ident: 10.1016/j.sigpro.2016.11.009_bib2 article-title: Two-stage fractional least mean square identification algorithm for parameter estimation of CARMA systems publication-title: Signal Process. doi: 10.1016/j.sigpro.2014.06.015 |
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| Title | Comments on “Fractional LMS algorithm” |
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