基于Burg算法的短序列谱估计研究

在频域对采集数据进行了分析，提出了一种基于修正伯格算法的短序列谱估计方法．该方法在阶数估计时引入收敛因子，从而更为有效地估计了阶数，同时未直接采用伯格算法计算反射系数，而是先求得二阶预测误差系数，再求出一阶反射系数，并最终求得高阶系数完成谱估计．这种算法减小了谱偏，提高了分辨率．

Research on short sequence power spectrum estimates based on the Burg algorithm

In practice, only finite data can be obtained so it is very necessary to use an efficient estimation algorithm to get exact characters of the short data sequence. This paper presnts an improved Burg algorithm and analyses the experimental data. The algorithm improves the order estimation by using a convergent factor. Otherwise, the first reflecting coefficient is not directly obtained by the Burg algorithm but by solving the coefficients of the second order PEF coefficients according to making the total output power minimum. After obtaining the coefficients of the second order PEF, the first order and the other higher order coefficients of PEF can be calculated. Results indicate that the peak shift of spectrum is reduced and the resolution is improved.