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本文基于递归预测误差原理，研究了用来估计谐波中基波频率的方法，并由此设计了一种具有任意窄带性能和希望形状的均匀切口的自适应陷波滤波器。由于算法非线性部分只涉及基波频率一个参数，使算法很易用于具有高次谐波的过程。而且由于利用了可变极点半径和忘却因子（ｆｏｒｇｅｔｔｉｎｇｆａｃｔｏｒ）因而算法对谐波频率的敏感性强，收敛速度快，并能跟踪频率时变的信号。仿真结果表明，本文研究的算法具有收敛速度快，精度高，运算量小等优点。
Based on the principle of recursive prediction error, this paper studies the method used to estimate the fundamental frequency of harmonics, and designs an adaptive notch filter with uniform notch with arbitrary narrowband performance and desired shape. Because the non-linear part of the algorithm involves only one parameter of the fundamental frequency, the algorithm is easy to use for processes with higher harmonics. And because of the use of variable pole radii and forgetting factors (forgettingfactor) and therefore the algorithm on the harmonic frequency sensitivity, convergence speed, and can track the time-varying frequency of the signal. Simulation results show that the algorithm studied in this paper has the advantages of fast convergence, high precision and small amount of computation.