郭莹,白艳梅.稳健的仿射投影符号自适应滤波算法[J].仪器仪表学报,2017,38(1):23-32
稳健的仿射投影符号自适应滤波算法
Robust affine projection sign adaptive filtering algorithm
  
DOI:
中文关键词:  自适应滤波  仿射投影符号算法  冲击噪声  步长函数  稀疏系统
英文关键词:adaptive filtering  affine projection sign algorithm  impulsive noise  step size function  sparse system
基金项目:辽宁省自然科学基金(2015020162,201602538)、辽宁省教育厅优秀人才项目(LJQ2014011)、辽宁省教育厅一般项目(L2014041)、沈阳工业大学第三批青年学术骨干教师项目(3029906)资助
作者单位
郭莹 沈阳工业大学信息科学与工程学院 沈阳110870 
白艳梅 沈阳工业大学信息科学与工程学院 沈阳110870 
AuthorInstitution
Guo Ying School of Information Science and Engineering, Shenyang University of Technology, Shenyang 110870, China 
Bai Yanmei School of Information Science and Engineering, Shenyang University of Technology, Shenyang 110870, China 
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中文摘要:
      非高斯的冲击噪声在现实世界广泛存在,严重影响了基于l2范数优化准则的自适应滤波算法的性能。在各类自适应滤波算法中仿射投影符号算法(APSA)结合了仿射投影算法(APA)良好的收敛特性和符号算法对非高斯冲击噪声干扰的抑制能力,因而其在非高斯冲击噪声条件下具有良好的性能。但是该算法的步长选择是固定的,且未考虑系统稀疏特性,因而在参数选择和收敛速度方面有一定的局限性。将变步长的方法和比例矩阵的思想融合到一起,引入步长函数,提出了一种稳健的仿射投影符号自适应滤波算法—变步长的改进比例仿射投影符号算法(VSS IPAPSA)。该算法不仅可以缓解收敛速度与稳态失调之间的矛盾,同时也可以增加其对系统的不同稀疏特性和噪声特性的适应性。理论分析和仿真实验结果验证了其稳健性和有效性。
英文摘要:
      Non Gaussian impulsive noises widely exist in real world, which seriously impacts on the performance of the adaptive filtering algorithms based on l2 norm optimization criterion. In various types of adaptive filtering algorithms, the affine projection sign algorithm (APSA) combines the good convergence feature of the affine projection algorithm (APA) and the suppression capability of the sign algorithm (SA) for non Gaussian impulsive noises. Thus, it has good performance in non Gaussian impulsive noise conditions. However, the step size of APSA is fixed and does not consider the system sparsity, so that there are certain limitation in parameter selection and convergence speed. Therefore, in this paper, the variable step size method and proportion matrix thought are combined together, the step size function is introduced, and a robust affine projection sign adaptive filtering algorithm the variable step size improved proportion affine projection sign algorithm (VSS IPAPSA) is proposed, which can not only alleviate the contradiction between convergence speed and steady state mis adjustment, but also increase the adaptability of the system to different sparsity and noise characteristics. Theoretical analysis and simulation results demonstrate the effectiveness and robustness of the algorithm.
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