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前言在处理重力及磁法数据时,常用滤波方法将区域场与局部场分开。现有滤波方法可分线性滤波与非线性滤波两大类。本文介绍一种非线性滤波方法,即带权系数的局部最小二乘光滑法。法国CGG公司高灵敏航磁工作指南所介绍的非线性滤波,只是本文所介绍的滤波方法的一个特例。线性滤波与非线性滤波线性滤波与非线性滤波是两种性质不同的滤波。前者因运算方便,已得到广泛应用。后者与前者有着内在的联系。因此,可由线性滤波转到非线性滤波。在设计非线性滤波时,可以充分利用有关线性滤波的知识。
Preface In the treatment of gravity and magnetic data, the commonly used filtering method to separate the regional field and local field. The existing filtering methods can be divided into linear filtering and nonlinear filtering two categories. This paper presents a nonlinear filtering method, that is, the local least squares smoothing method with weighted coefficients. The nonlinear filtering introduced by France CGG’s Highly Sensitive Aeromagnetic Propulsion Guide is just a special case of the filtering method described in this article. Linear and Nonlinear Filtering Linear and non-linear filtering are two different types of filtering. The former has been widely used due to the convenience of operation. The latter is intrinsically linked to the former. Therefore, it can be switched from linear filtering to nonlinear filtering. When designing nonlinear filtering, you can take full advantage of the knowledge about linear filtering.