浅析Vondrak滤波的平滑度  

Analysis of the smoothness of Vondrak filter

作　　者：陈青[1] 吴芸芸 

机构地区：[1]星子县国土资源局,江西九江332800 [2]星子县建设规划局,江西九江332800

出　　处：《工程勘察》2015年第11期83-86,共4页Geotechnical Investigation & Surveying

摘　　要：对Vondrak滤波准则函数中的平滑度进行了深刻的探讨,解释采用平滑值三阶差分的平方和形式作为平滑度的原因;在满足平滑度很小的情况下,得到的平滑曲线对应的每一点的曲率函数都是连续变化的,说明得到的平滑值是位于一条光滑的曲线上;最后实际算例说明了Vondrak滤波器可以作为很好的滤波器,从而最大程度地去除噪声保留有用的信号。This paper studies the smoothness of the criteria functions for Vondrak filter. The reason of using the square sum of the third-order finite difference as the smoothness is explained. Curvature of the filter curve is continuous in low smoothness and without breakpoint and sharp point. At last,real examples are given to demonstrate that Vondrak filter can be used as a good digital filter to separate the signal and noise successfully.

关 键 词：VONDRAK滤波 平滑度 拟合度 频率响应 信号分离 

分 类 号：P227[天文地球—大地测量学与测量工程]