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针对根据微动信号频散特性研究地质构造的应用背景,提出了在数据外推的基础上利用相关法对微动信号进行谱估计的方法。该方法首先利用导数最小二乘法求解幂函数模型参数,然后对外推的自相关数据进行FFT运算,求出微动信号的功率谱。理论分析和实验结果表明,该算法与相关法和Burg法(最大熵谱估计)相比,具有更好的分辨率和方差,提高了谱估计算法的性能。
Aiming at the application background of studying the geological structure based on the dispersion characteristics of fretting signals, a method of spectrum estimation of the fretting signal based on extrapolation of data is proposed. The method first uses the derivative least square method to solve the power function model parameters, and then performs FFT operation on the extrapolated autocorrelation data to obtain the power spectrum of the fretting signal. Theoretical analysis and experimental results show that the proposed algorithm has better resolution and variance than the correlation method and the Burg method (maximum entropy spectrum estimation), and improves the performance of the spectral estimation algorithm.