Convex Regularized Recursive Minimum Error Entropy Algorithm
It is well known that the recursive least squares (RLS) algorithm is renowned for its rapid convergence and excellent tracking capability. However, its performance is significantly compromised when the system is sparse or when the input signals are contaminated by impulse noise. Therefore, in this p...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-03-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/13/5/992 |
| _version_ | 1797264677108973568 |
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| author | Xinyu Wang Shifeng Ou Ying Gao |
| author_facet | Xinyu Wang Shifeng Ou Ying Gao |
| author_sort | Xinyu Wang |
| collection | DOAJ |
| description | It is well known that the recursive least squares (RLS) algorithm is renowned for its rapid convergence and excellent tracking capability. However, its performance is significantly compromised when the system is sparse or when the input signals are contaminated by impulse noise. Therefore, in this paper, the minimum error entropy (MEE) criterion is introduced into the cost function of the RLS algorithm in this paper, with the aim of counteracting the interference from impulse noise. To address the sparse characteristics of the system, we employ a universally applicable convex function to regularize the cost function. The resulting new algorithm is named the convex regularization recursive minimum error entropy (CR-RMEE) algorithm. Simulation results indicate that the performance of the CR-RMEE algorithm surpasses that of other similar algorithms, and the new algorithm excels not only in scenarios with sparse systems but also demonstrates strong robustness against pulse noise. |
| first_indexed | 2024-04-25T00:32:42Z |
| format | Article |
| id | doaj.art-e1298e7138964c9a9b637343f31b9074 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-04-25T00:32:42Z |
| publishDate | 2024-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-e1298e7138964c9a9b637343f31b90742024-03-12T16:42:51ZengMDPI AGElectronics2079-92922024-03-0113599210.3390/electronics13050992Convex Regularized Recursive Minimum Error Entropy AlgorithmXinyu Wang0Shifeng Ou1Ying Gao2School of Physics and Electronic Information, Yantai University, Yantai 264005, ChinaSchool of Physics and Electronic Information, Yantai University, Yantai 264005, ChinaSchool of Physics and Electronic Information, Yantai University, Yantai 264005, ChinaIt is well known that the recursive least squares (RLS) algorithm is renowned for its rapid convergence and excellent tracking capability. However, its performance is significantly compromised when the system is sparse or when the input signals are contaminated by impulse noise. Therefore, in this paper, the minimum error entropy (MEE) criterion is introduced into the cost function of the RLS algorithm in this paper, with the aim of counteracting the interference from impulse noise. To address the sparse characteristics of the system, we employ a universally applicable convex function to regularize the cost function. The resulting new algorithm is named the convex regularization recursive minimum error entropy (CR-RMEE) algorithm. Simulation results indicate that the performance of the CR-RMEE algorithm surpasses that of other similar algorithms, and the new algorithm excels not only in scenarios with sparse systems but also demonstrates strong robustness against pulse noise.https://www.mdpi.com/2079-9292/13/5/992minimum error entropyrecursive minimum error entropyconvex regularized recursive minimum error entropy |
| spellingShingle | Xinyu Wang Shifeng Ou Ying Gao Convex Regularized Recursive Minimum Error Entropy Algorithm Electronics minimum error entropy recursive minimum error entropy convex regularized recursive minimum error entropy |
| title | Convex Regularized Recursive Minimum Error Entropy Algorithm |
| title_full | Convex Regularized Recursive Minimum Error Entropy Algorithm |
| title_fullStr | Convex Regularized Recursive Minimum Error Entropy Algorithm |
| title_full_unstemmed | Convex Regularized Recursive Minimum Error Entropy Algorithm |
| title_short | Convex Regularized Recursive Minimum Error Entropy Algorithm |
| title_sort | convex regularized recursive minimum error entropy algorithm |
| topic | minimum error entropy recursive minimum error entropy convex regularized recursive minimum error entropy |
| url | https://www.mdpi.com/2079-9292/13/5/992 |
| work_keys_str_mv | AT xinyuwang convexregularizedrecursiveminimumerrorentropyalgorithm AT shifengou convexregularizedrecursiveminimumerrorentropyalgorithm AT yinggao convexregularizedrecursiveminimumerrorentropyalgorithm |