基于静态小波变换的趋势面构造  

THE CONSTRUCTION METHOD OF TREND SURFACE BASED ON STATIC WAVELET TRANSFORMATION

作　　者：蒋开明[1] 顾民[1] 葛良全[1] 顾莉 

机构地区：[1]成都理工大学核技术与自动化工程学院 [2]甘肃省金昌市职业技术学校

出　　处：《物探与化探》2011年第6期848-850,共3页Geophysical and Geochemical Exploration

基　　金：国家自然科学基金项目(40774063);国家863计划项目(2006AA06A207)资助

摘　　要：在勘查数据处理异常分离方面,针对多项式最小二乘拟合构造的趋势面存在拟合度无法调整以及会出现失真情况的不足,提出了基于静态小波变换的趋势面构造方法。经过小波变换得到的近似系数表征信号的趋势,不同尺度的近似系数代表不同尺度下的趋势,静态小波变换后的近似系数和细节系数没有进行下采样,近似系数和细节系数仍然和原信号的长度相同。这种方法能根据需要构造出不同拟合度的趋势面且失真度很低。In data processing of anomaly separation,the structure method of trend surface adopts the fitting of a polynomial.It has some shortcomings,for example,the degree of fitting cannot be adjusted and can even show distortion.This paper proposed the construction method of trend surface based on the wavelet transformation.This method can extract the information effectively from the signal.The approximate coefficient obtained after the wavelet transformation characterizes signal tendency,and approximate coefficients of different criteria represent tendencies of different criteria.The coefficient and the detail coefficient of the static wavelet do not experience low sampling,so they have the same length as the original signal.The method can construct trend surfaces of different fitting degrees according to the requirement and is of distortion degree.

关 键 词：静态小波变换 拟合度 趋势面 

分 类 号：P631[天文地球—地质矿产勘探]