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Symmetry
Volume 11
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10.3390/sym11050697
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Article

A Novel Generalized Group-Sparse Mixture Adaptive Filtering Algorithm

by
Yingsong Li
1,2,*,
Aleksey Cherednichenko
1,
Zhengxiong Jiang
1,
Wanlu Shi
1 and
Jinqiu Wu
3
1
College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China
2
Key Laboratory of Microwave Remote Sensing, National Space Science Center, Chinese Academy of Sciences, Beijing 100190, China
3
Beijing Institute of Control and Electronic Technology, Beijing 10038, China
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(5), 697; https://doi.org/10.3390/sym11050697
Submission received: 20 April 2019 / Revised: 15 May 2019 / Accepted: 16 May 2019 / Published: 21 May 2019
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Abstract

A novel adaptive filtering (AF) algorithm is proposed for group-sparse system identifications. In the devised algorithm, a novel mixed error criterion (MEC) with two-order logarithm error, p-order errors and group sparse constraint method is devised to give a resistant to the impulsive noise. The proposed group-sparse MEC can fully use the known group-sparse characteristics in the cluster sparse systems, and it is derived and analyzed in detail. Various simulations are presented and analyzed to give a verification on the effectiveness of the developed group-sparse MEC algorithms, and the simulated results shown that the developed algorithm outperforms the previously developed sparse AF algorithms for identifying the systems.
Keywords: system identification; group sparse constraint; mixed error criterion; impulsive noise environments system identification; group sparse constraint; mixed error criterion; impulsive noise environments

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MDPI and ACS Style

Li, Y.; Cherednichenko, A.; Jiang, Z.; Shi, W.; Wu, J. A Novel Generalized Group-Sparse Mixture Adaptive Filtering Algorithm. Symmetry 2019, 11, 697. https://doi.org/10.3390/sym11050697

AMA Style

Li Y, Cherednichenko A, Jiang Z, Shi W, Wu J. A Novel Generalized Group-Sparse Mixture Adaptive Filtering Algorithm. Symmetry. 2019; 11(5):697. https://doi.org/10.3390/sym11050697

Chicago/Turabian Style

Li, Yingsong, Aleksey Cherednichenko, Zhengxiong Jiang, Wanlu Shi, and Jinqiu Wu. 2019. "A Novel Generalized Group-Sparse Mixture Adaptive Filtering Algorithm" Symmetry 11, no. 5: 697. https://doi.org/10.3390/sym11050697

APA Style

Li, Y., Cherednichenko, A., Jiang, Z., Shi, W., & Wu, J. (2019). A Novel Generalized Group-Sparse Mixture Adaptive Filtering Algorithm. Symmetry, 11(5), 697. https://doi.org/10.3390/sym11050697

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