改进的函数滤波器及其在航空重力测量中的应用  

Improved function filter and its application in airborne gravimetry

作　　者：柳林涛 梁星辉 郎骏健 石志敏 姚彦吉 胡辉雯 沈聪 LIU Lintao;LIANG Xinghui;LANG Junjian;SHI Zhimin;YAO Yanji;HU Huiwen;SHEN Cong(State Key Laboratory of Geodesy and Earth's Dynamics,Innovation Academy for Precision Measurement Science and Technology,Chinese Academy of Sciences,Wuhan 430077,China;University of Chinese Academy of Science,Beijing 101408,China)

机构地区：[1]中国科学院精密测量科学与技术创新研究院大地测量与地球动力学国家重点实验室,湖北武汉430077 [2]中国科学院大学,北京101408

出　　处：《测绘学报》2023年第5期706-713,共8页Acta Geodaetica et Cartographica Sinica

基　　金：国家重大科学仪器开发专项(2011YQ120045)。

摘　　要：本文构造了一种函数滤波器,该滤波器由一个参数化的高斯函数与一个尺度化的香农函数构成,可实现对时间序列的低通、带通和高通滤波处理。该滤波器的频率响应函数在滤波波段平坦且过渡带光滑。滤波器的截断频率与过渡带长度分别由香农函数的尺度参数和高斯函数的窗宽参数独立调节,这使得滤波器具有较好的设计灵活性,这也是本文的创新之处。由于滤波器是连续可导的,因此它可以适应于任意采样率序列的滤波,并且能够对原始时间序列进行求导滤波。模拟算例显示该滤波器具有很好的滤波准确度。应用该滤波器到航空重力测量数据滤波处理中,得到了分辨率7 km的航空重力测量结果。该滤波器使得滤波(低通、带通和高通)工作变得简明且高效。In this paper,a novel function filter is constructed,which is composed of a parameterized Gaussian function and a scaled Shannon function.It can realize low pass,band pass and high pass filtering for time series.The frequency response function of the filter is flat in the filtering band and the transition band is smooth.The innovation of this paper is that the truncation frequency and the length of the transition band of the function filter are controlled independently by the scale parameter of the Shannon function and the window width parameter of the Gaussian function,which makes the filter have good design flexibility.Because the filter is continuous and differentiable,it can be used to filter the random sampling rate time series.The simulation results show that the filter has good filtering accuracy.This filter is applied to the airborne gravimetry data filtering processing,and the airborne gravimetry results of the 7 km scale are obtained simply and accurately.The invention of this filter makes filtering(low pass,band pass and high pass)simple and efficient.

关 键 词：函数滤波器 航空重力测量 FIR滤波器 标准时频变换 航空重力仪 

分 类 号：P227[天文地球—大地测量学与测量工程]