文档介绍：第 36 卷第 1 期自动化学报 Vol. 36, No. 1
2010 年 1 月 ACTA AUTOMATICA SINICA January, 2010
基于自适应陷波滤波器的频率和幅值估计
储昭碧 1 张崇巍 1 冯小英 1
摘要估计正弦信号的频率和幅值以实现准确信号跟随具有广泛的应用. 本文采用三维自适应陷波滤波器分析正弦信号,
提出了非归一化和归一化两种频率估计方法, 两种算法都具有圆形周期轨道, 能够获得信号的频率和幅值的准确估计以及正
弦跟踪. 用 Lyapunov 定理和平均方法证明积分流形的存在性和一致渐近稳定性. 归一化算法改进了非归一化的收敛速度受
制于信号幅值的缺点. 分析了估计器的带宽参数和频率自适应增益参数对频率跟踪暂态速度和稳态精度以及噪声特性的影响.
通过仿真证实了算法的有效性.
关键词自适应陷波滤波器, 频率估计, 归一化频率估计, 稳定性分析, 积分流形
DOI .
Adaptive Notch Filter-based Frequency and Amplitude Estimation
CHU Zhao-Bi1 ZHANG Chong-Wei1 FENG Xiao-Ying1
Abstract Estimation of frequency and amplitude is widely used to accurately trace an unknown sinusoid. Two algo-
rithms, the non-normalized and the normalized frequency estimators, for analysis of sinusoid using 3-dimension adaptive
notch ﬁlter are presented in this paper. Both of them can achieve accurate estimates of the frequency and the amplitude
as well as the tracing of input sinusoid and have circular periodic orbits. The existence and the uniformly asymptotical
stability of the integral manifold are veriﬁed by Lyapunov stability theorem and the averaging method. The drawback
of the non-normalized estimator that the convergence speed is strongly dependent on signal amplitude is amended in the
normalized estimator. The eﬀects of the bandwidth parameter and the adaptive gain of estimators on the transient speed
and