基于凸组合的同步长最大均方权值偏差自适应滤波算法

doi:1000-436X(2012)03-0028-07

通信学报 ›› 2012, Vol. 33 ›› Issue (3): 28-34.doi: 1000-436X(2012)03-0028-07

基于凸组合的同步长最大均方权值偏差自适应滤波算法

芮国胜¹,苗俊²,张洋²,王林²

¹ 海军航空工程学院电子信息工程系，山东烟台 264001
² 海军航空工程学院研究生管理大队，山东烟台 264001

出版日期:2012-03-25 发布日期:2017-07-18
基金资助:
泰山学者建设专项基金资助项目

Maximum mean square deviation adaptive filtering algorithm with the same step-size via convex combination

Guo-sheng RUI¹,Jun MIAO²,Yang ZHANG²,Lin WANG²

¹ Department of Electronic Information Engineering,Naval Aeronautical and Astronautical University,Yantai264001,China
² Graduate Students’ Brigade,Naval Aeronautical and Astronautical University,Yantai 264001,China

Online:2012-03-25 Published:2017-07-18
Supported by:
Taishan Scholar Construction Fund

摘要/Abstract

摘要：

针对NLMS和PNLMS滤波器对时变信道跟踪能力差的缺点，提出了一种同步长凸组合最大均方权值偏差（MSD,mean square deviation）算法。该算法将同步长的NLMS和PNLMS 2种不同类型的自适应滤波器进行凸组合，以最大均方权值偏差为准则，使新的滤波器能够在外界信道特性（稀疏、非稀疏和模糊态）时变的情况下，保持良好的随动性能，并在收敛的各个阶段均保持快速且稳定的均方特性。理论推导和仿真实验表明：该算法与NLMS、PNLMS和IPNLMS算法相比，在稀疏和非稀疏状态时能够保持四者中最快的收敛速度，并且在模糊状态时算法性能优于其余三者。另外，该算法仍保持较好的稳态均方性能。

关键词: 自适应滤波器, 凸组合, 系数比例自适应算法, 最大均方权值偏差

Abstract:

Aimed at poor tracking performance of NLMS filter and filter under time-varying channel,a same step-size convex combination of the maximum mean square deviation algorithm was presented.The algorithm convexly combined two different adaptive filters with the same step-size based on a criterion of maximum mean square deviation.So the proposed filter could keep good dynamic performance in the time-varying channel and stability of mean square characteristics in convergence stage.Theoretical analysis and simulation results show that in the sparse and non-sparse state the proposed algorithm indicates the fastest convergence rate compared with NLMS,PNLMS and IPNLMS algorithm.In the fuzzy state,the performance of proposed algorithm is superior to the above three.Additionally,the steady-state performance of mean square also keeps well.

Key words: adaptive filters, convex combination, proportionate NLMS algorithm, maximum mean square deviation

芮国胜,苗俊,张洋,王林. 基于凸组合的同步长最大均方权值偏差自适应滤波算法[J]. 通信学报, 2012, 33(3): 28-34.

Guo-sheng RUI,Jun MIAO,Yang ZHANG,Lin WANG. Maximum mean square deviation adaptive filtering algorithm with the same step-size via convex combination[J]. Journal on Communications, 2012, 33(3): 28-34.

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参考文献 11

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算法	运行参数	算法参数
算法	N	L	μ	SNR	d	?	d₀	μ ⁺a	a⁺	e	?
NLMS	1 000	127	0.1	20	0.01/L	—	—	—	—	—	—
PNLMS	1 000	127	0.1	20	0.01/L	2/L	0.01	—	—	—	—
IPNLMS	1 000	127	0.1	20	0.005/L	—	—	—	—	—	0
本文算法	1 000	127	0.1	20	0.01/L	2/L	0.01	200	4	0.01	—

基于凸组合的同步长最大均方权值偏差自适应滤波算法

Maximum mean square deviation adaptive filtering algorithm with the same step-size via convex combination

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