汉克尔变换的数值计算与精度的对比  

RESEARCH AND APPLICATION ON NUMERICAL INTEGRATION OF HANKEL TRANSFORMS BY DIGITAL FILTERING

作　　者：张伟[1] 王绪本[1] 覃庆炎[1] 

机构地区：[1]成都理工大学地球探测与信息技术教育部重点实验室,四川成都610059

出　　处：《物探与化探》2010年第6期753-755,共3页Geophysical and Geochemical Exploration

基　　金：国家863高技术研究发展计划项目(2006AA06Z110)

摘　　要：汉克尔变换的数值解法是计算电磁测深正演理论曲线的有效工具。对基于数字滤波法的快速汉克尔变换算法进行了公式推导,并用Guptasama和Singh给出的线性滤波系数进行了计算,对比分析了该数值算法与理论解析式的误差分布特点。结果表明,该数值算法的计算结果连续一致逼近其理论值,且不存在振荡现象,计算精度高,在数值模拟研究中具有较大的实用价值。Numerical integration of Hankel transforms is effective tools for EM Sounding ’s forward numerical simulation,this paper made out formula derivation of numerical integration of Hankel transforms by digital filtering,and use digital coefficients to do numerical compute which was put forward by Guptasama and Singh,finally contrasted to theoretical resolve expression and analyzed this algorithm’s error distribution.The results show that the calculation of this algorithm continuously approximate its theoretical solution,it has no oscillation,high precision and great practical value in the numerical simulation study.

关 键 词：汉克尔变换 快速汉克尔变换 滤波系数 

分 类 号：P631[天文地球—地质矿产勘探]