无约束频域自适应滤波算法最优步长控制  

Optimal step-size control of unconstrained frequency domain adaptive filter

作　　者：梁兆杰 田杰 杨飞然[2,3] LIANG Zhaojie;TIAN Jie;YANG Feiran(Shenzhen Power Supply Bureau Co.Ltd,Shenzhen 518000,Guangdong,China;Institute of Acoustics,Chinese Academy of Sciences,Beijing,100190,China;IOASONIC(Suzhou)Technologies Co.Ltd.,Suzhou 215163,Jiangsu,China)

机构地区：[1]深圳供电局有限公司,广东深圳518000 [2]中国科学院声学研究所,北京100190 [3]中科新声(苏州)科技有限公司,江苏苏州215163

出　　处：《声学技术》2023年第1期113-117,共5页Technical Acoustics

基　　金：国家自然科学基金(62171438);南方电网科技项目(090000KK52190062)。

摘　　要：频域自适应算法由于具有较低的计算复杂度和较快的收敛速度而被广泛应用。但是固定步长的频域自适应算法必须在收敛速度、稳态失调、跟踪速度和对噪声干扰的稳健性之间权衡。文章研究了无约束频域自适应滤波算法的最优步长控制问题。通过分析频域自适应算法的收敛特性,给出了最优步长的表达式,推导出了频域失调因子的递归变化关系并用来估计频域失调因子。在系统辨识和回声抵消应用中的计算机仿真结果表明,所提变步长算法能同时得到较快的收敛速度和较低的稳态失调,同时该算法对回声抵消应用中的双端对讲不敏感,因而不需要明确的双端对讲检测。The frequency domain adaptive filter(FDAF) has been widely used in practice due to its low complexity and good convergence performance. The choice of the fixed step size should be balanced between several factors, for instance, the initial convergence, the steady-state misadjustment, the tracking capability and the robustness to noise interference. The optimal step-size control of the unconstrained FDAF algorithm is studied in this paper. The convergence performance of the unconstrained FDAF is analyzed, which is then adopted to derive the optimal step size and estimate the misalignment factor. Computer simulations in system identification and echo cancellation show that the proposed algorithm can achieve both faster convergence and lower steady-state misadjustment than the fix stepsize version, and it is free of double-talk detector owing to the robustness to near-end interference.

关 键 词：频域自适应滤波 最优步长 系统辨识 回声抵消 

分 类 号：TN912[电子电信—通信与信息系统]