地动噪声RMS值计算方法的适用性及误差概率分析  

Applicability and Error Probability Analysis for the Calculation Method of RMS of Background Noise

作　　者：李小军[1,2] 袁松湧 杨大克[3,2] 谢剑波 马洁美[3,2] 李冬圣 LI Xiaojun;YUAN Songyong;YANG Dake;XIE Jianbo;MA Jiemei;LI Dongsheng(Hebei Earthquake Agency,262 Huaizhong Road,Shijiazhuang 050021,China;Institute of Geophysics,CEA,5 South-Minzudaxue Road,Beijing 100081,China;Guangdong Earthquake Agency,81 Mid-Xianlie Road,Guangzhou 510070,China;E-Institute of Earthquake Observation Technology,5 South-Minzudaxue Road,Beijing 100081,China)

机构地区：[1]河北省地震局,石家庄市槐中路262号050021 [2]中国地震局地震观测技术研究院,北京市民族大学南路5号100081 [3]中国地震局地球物理研究所,北京市民族大学南路5号100081 [4]广东省地震局,广州市先烈中路81号510070

出　　处：《大地测量与地球动力学》2019年第5期447-451,共5页Journal of Geodesy and Geodynamics

基　　金：河北省地震局星火计划(DZ20160621074);河北省地震局测震专业仪器系统检测评估与观测场地遴选创新团队项目;2016年度人力资源和社会保障部择优资助项目~~

摘　　要：对比两种计算RMS值的方法,结合误差概率统计给出结果的误差概率分布。在使用有限脉冲响应(FIR)带通滤波器进行滤波并计算RMS值的过程中,滤波器窗口函数和阶数是影响计算结果误差的主要因素,其中阶数的作用更大。通过计算功率谱密度(PSD)反算RMS值的误差主要受pwelch函数的窗口函数类型、窗口长度及重叠率等参数影响,其中窗口长度作用更大。从同等误差水平的概率分布看,在合理设置参数的前提下,使用PSD反算RMS值的方法更优。Combined with error probability statistics,this paper compares two main methods for calculating RMS value and gives the distribution of error probability.The results show that the result error for RMS calculated from waveform filtered by FIR bandpass filter is mostly dependent on the types of window function and filter order,with filter order playing a more import role.In addition,the error probability of RMS calculated from PSD depends on the parameter combinations of window function type,window length,and overlap ratio related to the pwelch function,mainly on the window length,and will reach a steady status with a certain number of sample waveforms.The distribution of error probability indicates that the second method is better than the first.

关 键 词：均方根值 功率谱密度 FIR滤波器 误差概率分布 参数组合 

分 类 号：P315[天文地球—地震学]