频域自适应滤波器凸组合算法的稳态性能分析

侯鑫; 林斌; 安玉坤

doi:10.16411/j.cnki.issn1006-7736.2020.03.015

大连海事大学学报 >

2020 , Vol. 46 >Issue 3: 124 - 130

DOI: https://doi.org/10.16411/j.cnki.issn1006-7736.2020.03.015

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频域自适应滤波器凸组合算法的稳态性能分析

侯鑫 ,
林斌 ,
安玉坤

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（大连海事大学信息科学技术学院，辽宁大连 116026）

侯鑫（1995 — ），女，硕士生，E-mail：hxlg1120@dlmu.edu.cn.

收稿日期: 2020-03-02

修回日期: 2020-06-11

网络出版日期: 2020-06-11

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Steady-state performance analysis of the convex combination algorithm of frequency-domain adaptive filters

HOU Xin ,
LIN Bin ,
AN Yu-kun

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(College of Information Engineering, Dalian Maritime University, Dalian 116026, China)

Received date: 2020-03-02

Revised date: 2020-06-11

Online published: 2020-06-11

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摘要

为进一步研究频域自适应滤波器的凸组合（COSFDAF）算法的稳态性能，介绍一种针对频域自适应滤波器的性能分析方法.与传统利用平均权重误差向量和权重误差协方差矩阵的状态递归方程对自适应滤波算法进行性能分析的方式不同，通过推导频域自适应滤波器的能量守恒关系，并利用分离假设，得到COSFDAF算法的稳态均方误差（MSE）的封闭解析表达式.仿真结果表明，无论是在高斯噪声输入还是在相关高斯噪声输入的情况下，COSFDAF算法的稳态MSE的仿真值与理论值均有较好的匹配度，验证了理论分析的准确性.

关键词： 自适应滤波器; 频域自适应滤波器凸组合算法（COSFDAF）算法; 能量守恒; 稳态性能; 均方误差

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侯鑫 , 林斌 , 安玉坤 . 频域自适应滤波器凸组合算法的稳态性能分析[J]. 大连海事大学学报, 2020 , 46(3) : 124 -130 . DOI: 10.16411/j.cnki.issn1006-7736.2020.03.015

Abstract

In order to further study the steady-state performance of the convex combination algorithm of frequency-domain adaptive filters (COSFDAF), a method to analyze the performance of the frequency-domain adaptive filtering (FDAF) was proposed. Different from the traditional method of using average weight error vector and state recursive equation of weight error covariance matrix to analyze the performance of adaptive algorithm, the closed analytic expression of steady state mean square error (MSE) of COSFADAF algorithm was obtained by deducing the energy conservation relationship of frequency domain adaptive filter and using separation hypothesis. The simulation results show that the simulation value of the steady MSE of COSFDAF algorithm matches the theoretical value well whether in the case of Gaussian noise input or correlated Gaussian noise input, which verifies the accuracy of the theoretical analysis.

Key words： adaptive filter; convex combination algorithm of frequencydomain adaptive filter( COSFDAF); energy conservation; steady-state performance; mean square error（MSE）

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