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随机振动多窗口谱分析法模型建立及统计分析
Model Foundation and Statistical Analysis on Multi-taper Spectrum Analysis of Random Vibration
【摘要】 针对随机振动中谱估计算法,分析了周期图估计算法对噪声系列的功率谱相关系数及加窗造成的信息损失,在此基础上分析了由直接谱估计算法构建的多窗口谱分析法,建立了其噪声模型,推导了估计方差减小与参与运算的窗口数的关系。针对白噪声序列,得到MTSA估计器避免加窗而造成信息损失时窗口数与信号序列的关系,最后推出了MTSA估计器的统计特征。
【Abstract】 It is analyzed in the paper that of information loss caused by the correlation coefficient of the noise power spectral series used periodogram estimation algorithm and adding window for the spectrum estimation algorithm of random vibration.Based on this,the analysis by direct spectral estimation algorithm to construct the multi-window spectral analysis method is made with the setup of model of the noise,and the relationship is derived between reducing the estimation variance window and the involved computing the number.For white noise sequence,the number of relationships with the signal sequence is found when the information loss caused by adding window used MTSA estimator,and finally launched the statistical characteristics of MTSA estimator.
【Key words】 Spectrum estimation; Periodogram estimation; Multi-taper Spectrum Analysis;
- 【文献出处】 软件 ,Computer Engineering & Software , 编辑部邮箱 ,2011年02期
- 【分类号】TN911.7
- 【下载频次】96