变形信号与噪声的分离方法及其应用
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摘要
在对变形体进行监测的时候会得到一系列不同时间的观测结果,比如对滑坡的位移监测,得到一系列的坐标,通过与首期观测数据的比较可获得变形量,然而测量中不可避免的含有误差,如何将变形信息和观测噪声分离是一个需要解决的问题。本文在变形是一个连续过程的假设下,以给定的验前方差为约束条件,通过三次连续逼近样条函数建立变形曲线,达到变形信号与噪声分离的目的,文中通过对某滑坡多年监测数据的分析验证了该方法的可行性。
Observation results can be obtained with time series if conduct a continuous monitoring on a deformation structure.For example,a list of coordinates can be gotten during the monitoring for the displacement of a coast.Actually,the distortion value can be calculated by comparing the current observation with the previous observation.However,the observation error is inevitable because of different measurement circumstances.It is an important issue to distinguish distortion from observation noise.So under a hypothesis that the distortion is accordance with a continuous procedure,the solid distortion curve is established by using cubic spline approximating function in this paper.Then the distortion information can be extracted from error noise by using the given pretest variance error as a restriction condition.Finally,a case study is given by analyzing years of observation from a coast deformation monitoring,and the feasibility of the above method is proven.
Observation results can be obtained with time series if conduct a continuous monitoring on a deformation structure.For example,a list of coordinates can be gotten during the monitoring for the displacement of a coast.Actually,the distortion value can be calculated by comparing the current observation with the previous observation.However,the observation error is inevitable because of different measurement circumstances.It is an important issue to distinguish distortion from observation noise.So under a hypothesis that the distortion is accordance with a continuous procedure,the solid distortion curve is established by using cubic spline approximating function in this paper.Then the distortion information can be extracted from error noise by using the given pretest variance error as a restriction condition.Finally,a case study is given by analyzing years of observation from a coast deformation monitoring,and the feasibility of the above method is proven.
引文
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[2]寇刚,姚连璧.基坑水平位移监测方法的探讨[J].地矿测绘,2002,18(4).
[3]余学祥,等.GPS变形监测的SSDM方法的理论与实践[J].测绘科学,2006,31(2).
[4]石双忠,岳东杰,梅红.时序分析在变形监测数据处理中的应用[J].工程勘察,2004,(3).
[5]文鸿雁.小波多分辨分析在变形分析中的应用[J].地壳形变与地震,2000,20(3).
[6]陈继光,李光东,刘中波.大坝变形数据处理中的离散小波分析方法[J].水电能源科学,2003,(4).
[7]徐洪钟,吴中如,李雪江,施斌.基于小波分析的大坝观测数据异常值检测[J].水电能源科学,2002,20(4).
[8]樊功瑜.误差理论与测量平差[M].上海:同济大学出版社,1998.
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