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基于成比例的自适应鲁棒回声消除算法

Base on Proportionate Adaptive Robust Echo Cancellation Algorithm

【作者】 黄章梁

【导师】 张家树;

【作者基本信息】 西南交通大学 , 通信与信息系统, 2012, 硕士

【摘要】 在网络或是声学回声消除中,回声信道的脉冲响应很长且具备稀疏性,因此要用到阶数很长的自适应稀疏滤波器。自适应稀疏滤波器的核心便是成比例算法,成比例类的自适应算法利用了回声路径脉冲响应稀疏的结构特性,在回声消除领域有着广泛的应用。本文围绕回声消除问题和自适应成比例算法进行了详细的分析和研究,并对回声信道建模的方法进行了总结。本文改进了基于u准则MPNLMS算法的成比例因子计算方法,并采用新型的线性分段函数替代u压缩函数得到了收敛性能更好的改进型分段成比例归一化最小均方算法(ISMPNLMS)。为了获得抗冲击噪声性能,引入了M-估计的概念,采用Huber范数并结合新型的成比例控制矩阵计算方法得到一类成比例归一化最小均值M-估计算法,包括PNLMM和IPNLMM两种算法。在PNLMM类算法的启发下,采用新型的核函数得到PAPA-M类算法,包括PAPA-M、IPAPA-M和μ-PAPA-M三种算法。在仿真实验中,PNLMM类算法与PAPA-M类算法在冲击噪声环境中均具备良好的收敛性能。此外,引用了Geigel双通话侦测算法,验证了PNLMM类算法与PAPA-M类算法在双通话状态下回声消除的有效性。

【Abstract】 Sparse adaptive filters with lots of coeffcients are usually involved in both acoustic and network echo cancellation, because the impulse response of echo path is long and sparse. The core of the sparse adaptive filter is the proportionate-type algorithm which takes advantage of sparsity in impulse response, and has applied in echo cancellation widely. The problem of echo cancellation and proportionate-type algorithm are analysed in this thesis detailedly.In this thesis, we improved the update rule of proportionate matrix in MPNLMS, and used a new piecewise linear function instead of the logarithmic function, then get the improved segment MPNLMS(ISMPNLMS) has faster converge speed.In order to get the good performce in an impulsive noise environment, we proposed proportionate-type normalized least mean m-estimate algorithms (PNLMMs) by modified Huber function. Inspired by PNLMMs algorithm, we proposed a novel based M-estimation proportionate-type affine projection algorithm (PAPA-Ms) by a new score function. In the simulation, PNLMMs and PAPA-Ms show the good convergence performance in impulsive noise environments. In addition, verify the effectiveness of the PNLMMs and PAPA-Ms by Geigel double-talk detection during the double-talk.

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