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变形测量异常数据处理中小波变换最佳级数的确定
引用本文:李宗春,邓勇,张冠宇,杨晓晖.变形测量异常数据处理中小波变换最佳级数的确定[J].武汉大学学报(信息科学版),2011(3).
作者姓名:李宗春  邓勇  张冠宇  杨晓晖
作者单位:信息工程大学测绘学院;
基金项目:河南理工大学矿山空间信息技术国家测绘局重点实验室开放研究基金资助项目(KLM201009)
摘    要:综合分析数据去噪效果的4个分项评价指标,即数据的均方根差变化量、互相关系数、信噪比及平滑度,将各分项评价指标归化到0,1后相加得到总体评价指标,将总体评价指标最大值所对应的级数定义为小波分解与重构的最佳级数。模拟和实测两个算例验证了此方法的有效性。

关 键 词:变形测量  小波变换  分解与重构  评价指标  最佳级数  

Determination of Best Grading of Wavelet Transform in Deformation Measurement Data Filtering
LI Zongchun DENG Yong ZHANG Guanyu YANG Xiaohui.Determination of Best Grading of Wavelet Transform in Deformation Measurement Data Filtering[J].Geomatics and Information Science of Wuhan University,2011(3).
Authors:LI Zongchun DENG Yong ZHANG Guanyu YANG Xiaohui
Institution:LI Zongchun1 DENG Yong1 ZHANG Guanyu1 YANG Xiaohui1 (1 Institute of Surveying and Mapping,Information Engineering University,66 Middle Longhai Road,Zhengzhou 450052,China)
Abstract:Wavelet transform is widely used in deformation measurement data filtering,but there is still no definite solution to determine the best grading of its decomposition and reconstruction.Firstly,four parameters,the gap of mean square error variances between two adjacent gradings,correlation coefficient,signal-noise ratio and flatness,are integrated in as evaluation indexes.Then they are transformed to according to their contributions to the best grading.Finally,these four transformed parameters are added up t...
Keywords:deformation measurement  wavelet transform  decomposition and reconstruction  evaluation index  best grading  
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