小波变换在模型参数拟合中的应用  

The Application of Wavelet in Estimating The Model Coefficients

作　　者：钱舒[1] 许梦杰[1] 

机构地区：[1]上海大学数学系,上海200436

出　　处：《应用数学与计算数学学报》2003年第1期54-58,共5页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金资助项目(项目编号10271072)

摘　　要：本文介绍了利用小波变换对实验数据进行预处理,然后根据去噪后的数据来建立更合适的数学模型并求解的新思路.文章以高阶亚正规熔体模型[1]的参数拟合问题为例,说明了小波变换在信息数据处理中的又一重要应用.This paper mainly introduces a new method to estimate the coefficients of the mathematic model. Firstly we do the pretreatment of the experimental data by means of the discrete wavelet to get rid of the noise. Then the model coefficients can be estimated by the treated data more properly than by the original data. We consider the problem of estimating the coefficients of SELF-SReM as an example to explain this new method.

关 键 词：离散小波变换 参数拟合 应用 去噪预处理 熔体模型 Shannon函数 TIKHONOV正则化 多分辨分析 隐式迭代法 

分 类 号：O241[理学—计算数学]