基于Burg法的城市轨道交通快速线路轨道不平顺谱研究

基于多尺度小波分析方法与异常值处理算法进行轨检数据的预处理,比较小波基的选取差异,通过最优小波基获得满足轨道谱估计要求的基础数据。使用现代谱估计中的Burg法进行谱估计方法上的优化,结果表明,与直接法与Welch法相比,Burg法在方差性能与分辨率上均有优势。根据大量拟合公式的比选,结合非线性最小二乘法对估计的轨道谱进行拟合,得到城市轨道交通快速线路不平顺谱表达式与相关参数。将地铁快速线路谱与国内外其他轨道谱进行比较,结果表明地铁快速线路谱与上海地铁轨道谱差异较小,与高速铁路谱及干线谱等差异明显。

Study on Track Irregularity Spectrum of Fast Urban Rail Transit Line Based on Burg Method

Based on the multi-scale wavelet analysis method and the outlier processing algorithm,the pre processing of the rail inspection data was carried out.The basic data satisfying the requirements of the track spectrum estimation were obtained by the optimal wavelet basis through the comparison of wavelet bases.The Burg method was used to optimize the spectral estimation from the modern spectral estimation.The results show that the Burg method has advantages over the variance performance and resolution compared with the direct method and the Welch method.Through the comparison of a large number of fitting formulas,the nonlinear least squares method was used to fit the estimated track spectrum.Finally,the expression and related parameters of fast urban rail transit spectrum were obtained.The comparison shows that there is little difference between the Beijing fast subway line and Shanghai subway line,but significant difference compared with the high-speed railway spectrum and other main line spectrum.