Variable Is Better Than Invariable: Sparse VSS-NLMS Algorithms with Application to Adaptive MIMO Channel Estimation

Channel estimation problem is one of the key technical issues in sparse frequency-selective fading multiple-input multiple-output (MIMO) communication systems using orthogonal frequency division multiplexing (OFDM) scheme. To estimate sparse MIMO channels, sparse invariable step-size normalized leas...

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Main Authors: Guan Gui, Zhang-xin Chen, Li Xu, Qun Wan, Jiyan Huang, Fumiyuki Adachi
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/274897
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author Guan Gui
Zhang-xin Chen
Li Xu
Qun Wan
Jiyan Huang
Fumiyuki Adachi
author_facet Guan Gui
Zhang-xin Chen
Li Xu
Qun Wan
Jiyan Huang
Fumiyuki Adachi
author_sort Guan Gui
collection DOAJ
description Channel estimation problem is one of the key technical issues in sparse frequency-selective fading multiple-input multiple-output (MIMO) communication systems using orthogonal frequency division multiplexing (OFDM) scheme. To estimate sparse MIMO channels, sparse invariable step-size normalized least mean square (ISS-NLMS) algorithms were applied to adaptive sparse channel estimation (ACSE). It is well known that step-size is a critical parameter which controls three aspects: algorithm stability, estimation performance, and computational cost. However, traditional methods are vulnerable to cause estimation performance loss because ISS cannot balance the three aspects simultaneously. In this paper, we propose two stable sparse variable step-size NLMS (VSS-NLMS) algorithms to improve the accuracy of MIMO channel estimators. First, ASCE is formulated in MIMO-OFDM systems. Second, different sparse penalties are introduced to VSS-NLMS algorithm for ASCE. In addition, difference between sparse ISS-NLMS algorithms and sparse VSS-NLMS ones is explained and their lower bounds are also derived. At last, to verify the effectiveness of the proposed algorithms for ASCE, several selected simulation results are shown to prove that the proposed sparse VSS-NLMS algorithms can achieve better estimation performance than the conventional methods via mean square error (MSE) and bit error rate (BER) metrics.
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institution Kabale University
issn 2356-6140
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language English
publishDate 2014-01-01
publisher Wiley
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series The Scientific World Journal
spelling doaj-art-74307fd314d0400aa808d6826dd736732025-02-03T01:20:56ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/274897274897Variable Is Better Than Invariable: Sparse VSS-NLMS Algorithms with Application to Adaptive MIMO Channel EstimationGuan Gui0Zhang-xin Chen1Li Xu2Qun Wan3Jiyan Huang4Fumiyuki Adachi5Department of Electronics and Information Systems, Akita Prefectural University, Akita 015-0055, JapanDepartment of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaDepartment of Electronics and Information Systems, Akita Prefectural University, Akita 015-0055, JapanDepartment of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaDepartment of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaDepartment of Communications Engineering, Tohoku University, Sendai 980-8579, JapanChannel estimation problem is one of the key technical issues in sparse frequency-selective fading multiple-input multiple-output (MIMO) communication systems using orthogonal frequency division multiplexing (OFDM) scheme. To estimate sparse MIMO channels, sparse invariable step-size normalized least mean square (ISS-NLMS) algorithms were applied to adaptive sparse channel estimation (ACSE). It is well known that step-size is a critical parameter which controls three aspects: algorithm stability, estimation performance, and computational cost. However, traditional methods are vulnerable to cause estimation performance loss because ISS cannot balance the three aspects simultaneously. In this paper, we propose two stable sparse variable step-size NLMS (VSS-NLMS) algorithms to improve the accuracy of MIMO channel estimators. First, ASCE is formulated in MIMO-OFDM systems. Second, different sparse penalties are introduced to VSS-NLMS algorithm for ASCE. In addition, difference between sparse ISS-NLMS algorithms and sparse VSS-NLMS ones is explained and their lower bounds are also derived. At last, to verify the effectiveness of the proposed algorithms for ASCE, several selected simulation results are shown to prove that the proposed sparse VSS-NLMS algorithms can achieve better estimation performance than the conventional methods via mean square error (MSE) and bit error rate (BER) metrics.http://dx.doi.org/10.1155/2014/274897
spellingShingle Guan Gui
Zhang-xin Chen
Li Xu
Qun Wan
Jiyan Huang
Fumiyuki Adachi
Variable Is Better Than Invariable: Sparse VSS-NLMS Algorithms with Application to Adaptive MIMO Channel Estimation
The Scientific World Journal
title Variable Is Better Than Invariable: Sparse VSS-NLMS Algorithms with Application to Adaptive MIMO Channel Estimation
title_full Variable Is Better Than Invariable: Sparse VSS-NLMS Algorithms with Application to Adaptive MIMO Channel Estimation
title_fullStr Variable Is Better Than Invariable: Sparse VSS-NLMS Algorithms with Application to Adaptive MIMO Channel Estimation
title_full_unstemmed Variable Is Better Than Invariable: Sparse VSS-NLMS Algorithms with Application to Adaptive MIMO Channel Estimation
title_short Variable Is Better Than Invariable: Sparse VSS-NLMS Algorithms with Application to Adaptive MIMO Channel Estimation
title_sort variable is better than invariable sparse vss nlms algorithms with application to adaptive mimo channel estimation
url http://dx.doi.org/10.1155/2014/274897
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AT lixu variableisbetterthaninvariablesparsevssnlmsalgorithmswithapplicationtoadaptivemimochannelestimation
AT qunwan variableisbetterthaninvariablesparsevssnlmsalgorithmswithapplicationtoadaptivemimochannelestimation
AT jiyanhuang variableisbetterthaninvariablesparsevssnlmsalgorithmswithapplicationtoadaptivemimochannelestimation
AT fumiyukiadachi variableisbetterthaninvariablesparsevssnlmsalgorithmswithapplicationtoadaptivemimochannelestimation