基于自适应陷波滤波器的频率和幅值估计

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.

Adaptive Notch Filter-based Frequency and Amplitude Estimation

Estimation of frequency and amplitude is widely used to accurately trace an unknown sinusoid. Two algorithms, 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 the steady state accuracy as well as the noise characteristics of the algorithms are investigated. The validity of the proposed estimators is verified by simulation results.