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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Al-Khwarizmi College of Engineering – University of Baghdad
2017
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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) |
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Chemical engineering TP155-156 Engineering (General). Civil engineering (General) TA1-2040 |
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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 |
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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.
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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 |
_version_ |
1718400292886675456 |