一种基于熵权法的小波去噪复合评价指标  

A Kind of Wavelet De-Noising Composite Evaluation Index Based on Entropy Method

作　　者：王旭[1] 王昶[2] WANG Xu;WANG Chang(Forestry Institute,Liaoning Forestry Vocation-Technical College,College of Civil Engineering,University of Science and Technology Liaonin)

机构地区：[1]辽宁林业职业技术学院林学院,沈阳市枫杨路186号110101 [2]辽宁科技大学土木工程学院

出　　处：《大地测量与地球动力学》2018年第7期698-702,718,共6页Journal of Geodesy and Geodynamics

基　　金：辽宁林业职业技术学院院级科研课题(KJ201505)~~

摘　　要：传统的评价指标在真值未知的情况下不能满足小波去噪质量评价的要求。为此,借助变化率特征重新构建均方根误差变化量和平滑度变化量两个指标,利用熵权法定权将归一化后的两个指标线性组合,所得到的新指标即为复合评价指标。该方法借助指标的变化率随分解层数的增加表现出明显的收敛特性来确定去噪最优分解层数。实验表明,该方法能够在真值未知的情况下准确地指导小波分解,确定去噪最优分解层数,从而达到最优去噪效果。The traditional evaluation index cannot meet the requirements of wavelet de-noising quality evaluation if the truth value is unknown.Using rate-change characteristics,this paper proposes a new evaluation index that reconstructs the root mean square error variation evaluation index and smoothness variation evaluation index.We use the normalized entropy weight method to linearly combine the two normalized evaluation indices.This new index is the composite evaluation index.The method decides the optimal de-noising layer by means of the obvious change of the rate of change of the index as the number of decomposition layers increases.Experimental data analysis shows that this method can guide wavelet decomposition accurately,and accurately determines the optimal de-noising layer to achieve the optimal de-noising effect when the truth value is unknown.

关 键 词：变形监测 小波去噪 评价指标 熵权 GM(1 1)模型 

分 类 号：P258[天文地球—测绘科学与技术]