A Robust Adaptive Filter for a Complex Hammerstein System
The Hammerstein adaptive filter using maximum correntropy criterion (MCC) has been shown to be more robust to outliers than the ones using the traditional mean square error (MSE) criterion. As there is no report on the robust Hammerstein adaptive filters in the complex domain, in this paper, we deve...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-02-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/21/2/162 |
| _version_ | 1818008377206243328 |
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| author | Guobing Qian Dan Luo Shiyuan Wang |
| author_facet | Guobing Qian Dan Luo Shiyuan Wang |
| author_sort | Guobing Qian |
| collection | DOAJ |
| description | The Hammerstein adaptive filter using maximum correntropy criterion (MCC) has been shown to be more robust to outliers than the ones using the traditional mean square error (MSE) criterion. As there is no report on the robust Hammerstein adaptive filters in the complex domain, in this paper, we develop the robust Hammerstein adaptive filter under MCC to the complex domain, and propose the Hammerstein maximum complex correntropy criterion (HMCCC) algorithm. Thus, the new Hammerstein adaptive filter can be used to directly handle the complex-valued data. Additionally, we analyze the stability and steady-state mean square performance of HMCCC. Simulations illustrate that the proposed HMCCC algorithm is convergent in the impulsive noise environment, and achieves a higher accuracy and faster convergence speed than the Hammerstein complex least mean square (HCLMS) algorithm. |
| first_indexed | 2024-04-14T05:28:30Z |
| format | Article |
| id | doaj.art-ad4b7be42dcd4b36b8f1d61bd734b507 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T05:28:30Z |
| publishDate | 2019-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-ad4b7be42dcd4b36b8f1d61bd734b5072022-12-22T02:09:53ZengMDPI AGEntropy1099-43002019-02-0121216210.3390/e21020162e21020162A Robust Adaptive Filter for a Complex Hammerstein SystemGuobing Qian0Dan Luo1Shiyuan Wang2College of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing 400715, ChinaCollege of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing 400715, ChinaCollege of Electronic and Information Engineering, Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing 400715, ChinaThe Hammerstein adaptive filter using maximum correntropy criterion (MCC) has been shown to be more robust to outliers than the ones using the traditional mean square error (MSE) criterion. As there is no report on the robust Hammerstein adaptive filters in the complex domain, in this paper, we develop the robust Hammerstein adaptive filter under MCC to the complex domain, and propose the Hammerstein maximum complex correntropy criterion (HMCCC) algorithm. Thus, the new Hammerstein adaptive filter can be used to directly handle the complex-valued data. Additionally, we analyze the stability and steady-state mean square performance of HMCCC. Simulations illustrate that the proposed HMCCC algorithm is convergent in the impulsive noise environment, and achieves a higher accuracy and faster convergence speed than the Hammerstein complex least mean square (HCLMS) algorithm.https://www.mdpi.com/1099-4300/21/2/162complexHammersteinadaptive filtersimpulsive noisestability |
| spellingShingle | Guobing Qian Dan Luo Shiyuan Wang A Robust Adaptive Filter for a Complex Hammerstein System Entropy complex Hammerstein adaptive filters impulsive noise stability |
| title | A Robust Adaptive Filter for a Complex Hammerstein System |
| title_full | A Robust Adaptive Filter for a Complex Hammerstein System |
| title_fullStr | A Robust Adaptive Filter for a Complex Hammerstein System |
| title_full_unstemmed | A Robust Adaptive Filter for a Complex Hammerstein System |
| title_short | A Robust Adaptive Filter for a Complex Hammerstein System |
| title_sort | robust adaptive filter for a complex hammerstein system |
| topic | complex Hammerstein adaptive filters impulsive noise stability |
| url | https://www.mdpi.com/1099-4300/21/2/162 |
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