适用于稀疏多径信道的稀疏自适应常模盲均衡算法

doi:10.11959/j.issn.1000-436x.2017017

通信学报 ›› 2017, Vol. 38 ›› Issue (1): 149-157.doi: 10.11959/j.issn.1000-436x.2017017

适用于稀疏多径信道的稀疏自适应常模盲均衡算法

马思扬,彭华,王彬

解放军信息工程大学，河南郑州 450001

修回日期:2016-11-07 出版日期:2017-01-01 发布日期:2017-01-23
作者简介:马思扬（1991-），女，浙江金华人，解放军信息工程大学硕士生，主要研究方向为通信信号处理、稀疏多径信道均衡。|彭华（1973-），男，江西萍乡人，博士，解放军信息工程大学教授、博士生导师，主要研究方向为通信信号处理、软件无线电。|王彬（1971-），女，河南郑州人，博士，解放军信息工程大学副教授、硕士生导师，主要研究方向为通信信号处理、信道均衡与辨识。
基金资助:
国家自然科学基金资助项目(61401511)

Sparse adaptive constant blind equalization algorithm for sparse multipath channel

Si-yang MA,Hua PENG,Bin WANG

PLA Information Engineering University,Zhengzhou 450001,China

Revised:2016-11-07 Online:2017-01-01 Published:2017-01-23
Supported by:
The National Natural Science Foundation of China(61401511)

摘要/Abstract

摘要：

为了提高稀疏多径信道盲均衡器的收敛速度，提出了一种适用于多进制相移键控（MPSK,M-order phase-shift keying）信号的l₀-范数约束的比例系数归一化最小均方常模盲均衡算法。该算法首先利用信号的常模特性和均衡器抽头系数的稀疏性，构造出基于l₀-范数约束的稀疏常模盲均衡代价函数，然后依据梯度下降法推导出均衡器抽头系数更新公式，并对迭代步长进行归一化和比例系数化。算法为每个抽头系数分配与其当前时刻的幅度成正比的步长参数，并自适应地对幅度极小系数做向零收缩微调。理论分析和仿真实验表明，与现有稀疏多径信道盲均衡算法相比，该算法在保持较低剩余符号间干扰的同时，能有效提高均衡器的收敛速度。

关键词: 稀疏多径信道, 快速盲均衡, l₀-范数约束, 比例系数因子

Abstract:

In order to improve the convergence rate of the blind equalizer for sparse multipath channel,a novel blind equalization approach called l₀-norm constraint proportionate normalized least mean square constant algorithm was proposed for M-order phase-shift keying (MPSK) signal.Based on the constant modulus characteristics of MPSK signal and the sparse property of equalizer,a new blind equalization cost function with the l₀-norm penalty on the equalizer tap coefficients was firstly constructed.Then the update formula of the tap coefficients was derived according to the gradient descent algorithm.Moreover,the iteration step was updated by drawing upon the normalized proportionate factor.The algorithm not only assigned step sizes proportionate to the magnitude of the current individual tap weights,but also attracted the inactive taps to zero adaptively.Theoretical analysis and simulation results show that the proposed algorithm outperforms the existing blind equalization algorithms for sparse channel in reducing ISI and improving convergence rate.

Key words: sparse multipath channel, fast convergence blind equalization, l₀-norm penalty, proportionate factor

中图分类号:

TN911.5

马思扬,彭华,王彬. 适用于稀疏多径信道的稀疏自适应常模盲均衡算法[J]. 通信学报, 2017, 38(1): 149-157.

Si-yang MA,Hua PENG,Bin WANG. Sparse adaptive constant blind equalization algorithm for sparse multipath channel[J]. Journal on Communications, 2017, 38(1): 149-157.

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算法	SNR=30 dB	SNR=15 dB
LMS-CMA	μ =0.4	μ =0.2
LMS-SCMA	μ =0.4，稀疏化处理门限0.01	μ =0.2，稀疏化处理门限0.01
l _p-LMS-CMA	μ =0.4	μ =0.2
l ₀-IPNLMS-CMA	μ =0.4,γ=0.001,η=25,δ=0.01,ε=0.01,κ=0.01	μ =0.2,γ=0.001,η=25,δ=0.01,ε=0.01,κ=0.01

适用于稀疏多径信道的稀疏自适应常模盲均衡算法

Sparse adaptive constant blind equalization algorithm for sparse multipath channel

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