Inter-Harmonics Spectral Estimation Based on Improved Burg Algorithm

Burg algorithm suitable for the inter-harmonics estimation, however, in the presence of noise, the obtained spectral estimates will be biased or even be erroneous. In this paper, an improved Burg adaptive algorithm based on higher-order cumulant is proposed to estimate the inter-harmonics signals. Firstly, this paper introduces the principle of Burg algorithm, and uses cumulant-based prediction error power in place of correlation-based prediction error power, based on the fact that higher-order cumulant is insensitive to Gaussian noise. Then, the steepest descent method is used to calculate the reflectance coefficient, so as to reduce the computational complexity brought by the higher-order cumulant. The simulating result shows that the proposed method improved spectral estimation performance obviously, and can get accurately inter-harmonics frequencies even in the noisy environment.