基于全通最小相位估计的自适应IIR数字滤波器

J. Okello, Y. Itoh, I. Nakanishi, Y. Fukui
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引用次数: 1

摘要

本文提出了一种新的无限脉冲响应自适应数字滤波器(ADF),该滤波器由全通系统级联模块和最小相位系统级联模块串联而成。全通部分采用二阶全通系统串联实现,而最小相位系统的所有极点均位于原点。使用LMS算法的简化版本更新系数。通过考虑未知系统与自适应数字滤波器具有相同的结构,证明了当输入为平稳白信号时,自适应数字滤波器的极点收敛于未知系统的极点。计算机模拟证实了我们的分析。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An adaptive IIR digital filter based on estimation of allpass and minimum-phase system
In this paper, a new infinite impulse response (IIR) adaptive digital filter (ADF) which is composed of a cascade block of allpass system and a block of minimum-phase system connected in series is proposed. The allpass section is implemented using a series connection of second order allpass systems, while the minimum phase system has all its poles at the origin. The coefficients are updated using a simplified version of the LMS algorithm. By considering the unknown system to be having the same structure as that of the adaptive digital filter, it is proven that the poles of the ADF converges to the poles of the unknown system when the input is a stationary white signal. Computer simulation confirms our analysis.
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