基于高阶累积量Burg自适应算法的间谐波估计

Burg算法适合处理间谐波信号，但是在有噪声的环境下，会产生错误的谱估计结果。采用一种基于高阶累积量的Burg自适应算法估计间谐波信号，该方法不受高斯噪声的影响。首先，利用高阶累积量对高斯噪声不敏感的特性，改进Burg算法的预测误差标准。其次，为了降低引入高阶累积量而增加的计算量，反射系数的求取采用递推形式。最后，利用谐波信号的4阶累积量对角切片求取各成分的幅值。仿真结果表明，所提出的算法明显改进了Burg算法的谱估计性能，能够在噪声环境下获得准确的间谐波参数估计。

Inter-harmonic Estimation Using Burg Adaptive Algorithm Based on Higher-order Cumulant

The Burg algorithm is suitable for inter-harmonic estimation,but,in the presence of noise,the estimated spectral results will be biased or even erroneous.A new Burg adaptive algorithm based on the higher-order cumulant is put forward to estimate the inter-harmonic signals.First,this paper introduces the principle of Burg algorithm,and modifies the error prediction power of the algorithm based on the fact that higher-order cumulant is insensitive to Gaussian noise.Then,the recursive form is presented to calculate the reflectance so as to reduce the calculation workload brought about by the cumulant.Finally,the fourth-order cumulant diagonal slice of the inter-harmonic signal is proposed to estimate the amplitudes of various components.Simulation results show that the method proposed can markedly improve the spectral estimation performance while yielding accurate inter-harmonic frequency and amplitude even in a noisy environment.