比例NLMS算法的暂态和稳态特性分析

K. Wagner, M. Doroslovački
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引用次数: 4

摘要

利用合理的近似方法,分析了白平稳输入信号下比例归一化最小均方算法的特性。这项工作将应用于简化PNLMS算法的思想扩展到PNLMS算法。特别是,该分析结合了PNLMS算法所使用的最大函数,而这在简化的PNLMS算法中是不存在的。对PNLMS的暂态和稳态特性进行了预测。给出了稳态下平均权值偏差的表达式。将理论期望值与数值模拟结果进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analytical analysis of transient and steady-state properties of the proportionate NLMS algorithm
Using reasonable approximations we do analytical analysis of properties of the proportionate normalized least mean square algorithm (PNLMS) in the case of white and stationary input signal. This work extends ideas applied to the simplified-PNLMS algorithm to the PNLMS algorithm. In particular, the analysis incorporates the max function employed by the PNLMS algorithm which is not present in the simplified-PNLMS algorithm. The properties of the PNLMS are predicted for both the transient and steady state. An expression for the mean weight deviation in steady state is also presented. Theoretical expectations are compared with results obtained by numerical simulations.
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