关于中值滤波的理论基础

在垂直地震剖面法(VSP)的资料处理中,为了分离上行波和下行波,除了用二维滤波等方法以外,还可以用中值滤波方法。本文简述此方法的实现过程,方法的特点,并阐明此法的理论基础。中值滤波方法实质就是中位数法(median),它不同于常用的最小平方方法,它是一种以误差的绝对值之和达到最小来确定参数的方法。

The basic theory of median filtering

Besides 2-D filtering etc，median filtering can also be used to separate upgoing waves from downgoing waves in VSP data processing How the method is performed is outlined, its behaviour and basic theory are also expounded, Median filtering is essentially a median method, Median filtering is different from the generally used least square method because it determines parameters on condition that the sum of absolute value errors is minimized.