Reweighted Factor Selection for SLMS-RL1 Algorithm under Gaussian Mixture Noise Environments

The sign least mean square with reweighted L1-norm constraint (SLMS-RL1) algorithm is an attractive sparse channel estimation method among Gaussian mixture model (GMM) based algorithms for use in impulsive noise environments. The channel sparsity can be exploited by SLMS-RL1 algorithm based on appro...

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Main Authors: Tingping Zhang, Guan Gui
Format: Article
Language:English
Published: MDPI AG 2015-09-01
Series:Algorithms
Subjects:
Online Access:http://www.mdpi.com/1999-4893/8/4/799
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author Tingping Zhang
Guan Gui
author_facet Tingping Zhang
Guan Gui
author_sort Tingping Zhang
collection DOAJ
description The sign least mean square with reweighted L1-norm constraint (SLMS-RL1) algorithm is an attractive sparse channel estimation method among Gaussian mixture model (GMM) based algorithms for use in impulsive noise environments. The channel sparsity can be exploited by SLMS-RL1 algorithm based on appropriate reweighted factor, which is one of key parameters to adjust the sparse constraint for SLMS-RL1 algorithm. However, to the best of the authors’ knowledge, a reweighted factor selection scheme has not been developed. This paper proposes a Monte-Carlo (MC) based reweighted factor selection method to further strengthen the performance of SLMS-RL1 algorithm. To validate the performance of SLMS-RL1 using the proposed reweighted factor, simulations results are provided to demonstrate that convergence speed can be reduced by increasing the channel sparsity, while the steady-state MSE performance only slightly changes with different GMM impulsive-noise strengths.
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spelling doaj.art-700470398c9e45be8c0283443e2094de2022-12-22T01:54:32ZengMDPI AGAlgorithms1999-48932015-09-018479980910.3390/a8040799a8040799Reweighted Factor Selection for SLMS-RL1 Algorithm under Gaussian Mixture Noise EnvironmentsTingping Zhang0Guan Gui1School of Information Science and Engineering, Chongqing Jiaotong University, Chongqing 400074, ChinaDepartment Electronics and Information Systems, Akita Prefectural University, Akita 015-0055, JapanThe sign least mean square with reweighted L1-norm constraint (SLMS-RL1) algorithm is an attractive sparse channel estimation method among Gaussian mixture model (GMM) based algorithms for use in impulsive noise environments. The channel sparsity can be exploited by SLMS-RL1 algorithm based on appropriate reweighted factor, which is one of key parameters to adjust the sparse constraint for SLMS-RL1 algorithm. However, to the best of the authors’ knowledge, a reweighted factor selection scheme has not been developed. This paper proposes a Monte-Carlo (MC) based reweighted factor selection method to further strengthen the performance of SLMS-RL1 algorithm. To validate the performance of SLMS-RL1 using the proposed reweighted factor, simulations results are provided to demonstrate that convergence speed can be reduced by increasing the channel sparsity, while the steady-state MSE performance only slightly changes with different GMM impulsive-noise strengths.http://www.mdpi.com/1999-4893/8/4/799Sign least mean square (SLMS)reweighted L1-norm (RL1)reweighted factor selectionGaussian mixture model (GMM)sparse channel estimation
spellingShingle Tingping Zhang
Guan Gui
Reweighted Factor Selection for SLMS-RL1 Algorithm under Gaussian Mixture Noise Environments
Algorithms
Sign least mean square (SLMS)
reweighted L1-norm (RL1)
reweighted factor selection
Gaussian mixture model (GMM)
sparse channel estimation
title Reweighted Factor Selection for SLMS-RL1 Algorithm under Gaussian Mixture Noise Environments
title_full Reweighted Factor Selection for SLMS-RL1 Algorithm under Gaussian Mixture Noise Environments
title_fullStr Reweighted Factor Selection for SLMS-RL1 Algorithm under Gaussian Mixture Noise Environments
title_full_unstemmed Reweighted Factor Selection for SLMS-RL1 Algorithm under Gaussian Mixture Noise Environments
title_short Reweighted Factor Selection for SLMS-RL1 Algorithm under Gaussian Mixture Noise Environments
title_sort reweighted factor selection for slms rl1 algorithm under gaussian mixture noise environments
topic Sign least mean square (SLMS)
reweighted L1-norm (RL1)
reweighted factor selection
Gaussian mixture model (GMM)
sparse channel estimation
url http://www.mdpi.com/1999-4893/8/4/799
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