Proposed Hybrid Sparse Adaptive Algorithms for System Identification

Abstract  For sparse system identification,recent suggested algorithms are  -norm Least Mean Square (  -LMS), Zero-Attracting LMS (ZA-LMS), Reweighted Zero-Attracting LMS (RZA-LMS), and p-norm LMS (p-LMS) algorithms, that have modified the cost function of the conventional LMS algorithm by addin...

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Autores principales: Mahmood A. K Abdulsattar, Samer Hussein Ali
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Publicado: Al-Khwarizmi College of Engineering – University of Baghdad 2017
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spelling oai:doaj.org-article:46aaaa0df3a44edc818af9ab771e98392021-12-02T05:38:10ZProposed Hybrid Sparse Adaptive Algorithms for System Identification10.22153/kej.2017.12.0031818-11712312-0789https://doaj.org/article/46aaaa0df3a44edc818af9ab771e98392017-12-01T00:00:00Zhttp://alkej.uobaghdad.edu.iq/index.php/alkej/article/view/350https://doaj.org/toc/1818-1171https://doaj.org/toc/2312-0789 Abstract  For sparse system identification,recent suggested algorithms are  -norm Least Mean Square (  -LMS), Zero-Attracting LMS (ZA-LMS), Reweighted Zero-Attracting LMS (RZA-LMS), and p-norm LMS (p-LMS) algorithms, that have modified the cost function of the conventional LMS algorithm by adding a constraint of coefficients sparsity. And so, the proposed algorithms are named  -ZA-LMS,  -RZA-LMS, p-ZA-LMS and p-RZA-LMS that are designed by merging twoconstraints from previous algorithms to improve theconvergence rate and steady state of MSD for sparse system. In this paper, a complete analysis was done for the theoretical operation of proposed algorithms by exited white Gaussian sequence for input signal. The discussion of mean square deviation (MSD) with regard to parameters of algorithms and system sparsity was observed. In addition, in this paper, the correlation between proposed algorithms and the last recent algorithms were presented and the necessary conditions of these proposed algorithms were planned to improve convergence rate. Finally, the results of simulations are compared with theoretical study (?), which is presented to match closely by a wide-range of parameters.. Keywords: Adaptive filter,  -LMS, zero-attracting, p-LMS, mean square deviation, Sparse system identification. Mahmood A. K AbdulsattarSamer Hussein AliAl-Khwarizmi College of Engineering – University of BaghdadarticleChemical engineeringTP155-156Engineering (General). Civil engineering (General)TA1-2040ENAl-Khawarizmi Engineering Journal, Vol 13, Iss 2 (2017)
institution DOAJ
collection DOAJ
language EN
topic Chemical engineering
TP155-156
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle Chemical engineering
TP155-156
Engineering (General). Civil engineering (General)
TA1-2040
Mahmood A. K Abdulsattar
Samer Hussein Ali
Proposed Hybrid Sparse Adaptive Algorithms for System Identification
description Abstract  For sparse system identification,recent suggested algorithms are  -norm Least Mean Square (  -LMS), Zero-Attracting LMS (ZA-LMS), Reweighted Zero-Attracting LMS (RZA-LMS), and p-norm LMS (p-LMS) algorithms, that have modified the cost function of the conventional LMS algorithm by adding a constraint of coefficients sparsity. And so, the proposed algorithms are named  -ZA-LMS,  -RZA-LMS, p-ZA-LMS and p-RZA-LMS that are designed by merging twoconstraints from previous algorithms to improve theconvergence rate and steady state of MSD for sparse system. In this paper, a complete analysis was done for the theoretical operation of proposed algorithms by exited white Gaussian sequence for input signal. The discussion of mean square deviation (MSD) with regard to parameters of algorithms and system sparsity was observed. In addition, in this paper, the correlation between proposed algorithms and the last recent algorithms were presented and the necessary conditions of these proposed algorithms were planned to improve convergence rate. Finally, the results of simulations are compared with theoretical study (?), which is presented to match closely by a wide-range of parameters.. Keywords: Adaptive filter,  -LMS, zero-attracting, p-LMS, mean square deviation, Sparse system identification.
format article
author Mahmood A. K Abdulsattar
Samer Hussein Ali
author_facet Mahmood A. K Abdulsattar
Samer Hussein Ali
author_sort Mahmood A. K Abdulsattar
title Proposed Hybrid Sparse Adaptive Algorithms for System Identification
title_short Proposed Hybrid Sparse Adaptive Algorithms for System Identification
title_full Proposed Hybrid Sparse Adaptive Algorithms for System Identification
title_fullStr Proposed Hybrid Sparse Adaptive Algorithms for System Identification
title_full_unstemmed Proposed Hybrid Sparse Adaptive Algorithms for System Identification
title_sort proposed hybrid sparse adaptive algorithms for system identification
publisher Al-Khwarizmi College of Engineering – University of Baghdad
publishDate 2017
url https://doaj.org/article/46aaaa0df3a44edc818af9ab771e9839
work_keys_str_mv AT mahmoodakabdulsattar proposedhybridsparseadaptivealgorithmsforsystemidentification
AT samerhusseinali proposedhybridsparseadaptivealgorithmsforsystemidentification
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