New variable step-sizes minimizing mean-square deviation for the lms-type algorithms Zhao,S, Jones,DL, Khoo,S and Man,Z 2014, New variable step-sizes minimizing mean-square deviation for the lms-type algorithms, Circuits, systems, and signal processing, vol. 33, no. 7, pp. 2251-2265, doi: 10.1007/s00034-014-9744-2. Attached Files Name Description MIMEType Size Downloads Title New variable step-sizes minimizing mean-square deviation for the lms-type algorithms Author(s) Zhao,S Jones,DL Khoo,S orcid.org/0000-0003-0455-2710 Man,Z Journal name Circuits, systems, and signal processing Volume number 33 Issue number 7 Start page 2251 End page 2265 Total pages 15 Publisher Springer Place of publication Berlin, Germany Publication date 2014-02 ISSN 0278-081X 1531-5878 Keyword(s) Convergence Discrete transforms Least mean square algorithms Mean-square error Science & Technology Technology Engineering, Electrical & Electronic Engineering ADAPTIVE ALGORITHM NLMS ALGORITHM FILTERS PERFORMANCE Summary The least-mean-square-type (LMS-type) algorithms are known as simple and effective adaptation algorithms. However, the LMS-type algorithms have a trade-off between the convergence rate and steady-state performance. In this paper, we investigate a new variable step-size approach to achieve fast convergence rate and low steady-state misadjustment. By approximating the optimal step-size that minimizes the mean-square deviation, we derive variable step-sizes for both the time-domain normalized LMS (NLMS) algorithm and the transform-domain LMS (TDLMS) algorithm. The proposed variable step-sizes are simple quotient forms of the filtered versions of the quadratic error and very effective for the NLMS and TDLMS algorithms. The computer simulations are demonstrated in the framework of adaptive system modeling. Superior performance is obtained compared to the existing popular variable step-size approaches of the NLMS and TDLMS algorithms. © 2014 Springer Science+Business Media New York. Language eng DOI 10.1007/s00034-014-9744-2 Field of Research 090601 Circuits and Systems 090609 Signal Processing Socio Economic Objective 970109 Expanding Knowledge in Engineering HERDC Research category C1 Refereed article in a scholarly journal ERA Research output type C Journal article Copyright notice ©2014, Springer Persistent URL http://hdl.handle.net/10536/DRO/DU:30070524 Document type: Journal Article Collections: Faculty of Science, Engineering and Built Environment School of Engineering Related Links Link Description Connect to published version Go to link with your DU access privileges   Connect to Elements publication management system Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Versions Version Filter Type Wed, 11 Mar 2015, 08:38:24 EST Tue, 14 Apr 2015, 11:02:57 EST Thu, 16 Apr 2015, 05:00:22 EST Thu, 16 Apr 2015, 06:09:38 EST Tue, 21 Apr 2015, 13:07:44 EST Tue, 21 Apr 2015, 13:10:16 EST Filtered Full Citation counts:   Cited 10 times in TR Web of Science Cited 11 times in Scopus Search Google Scholar Access Statistics: 392 Abstract Views, 3 File Downloads  -  Detailed Statistics Created: Tue, 14 Apr 2015, 11:02:57 EST