航空矢量重力测量中有限冲激响应低通数字滤波器的设计  

Design of FIR Lowpass Digital Filters for Airborne Vector Gravimetry

作　　者：周波阳[1,2] 罗志才[2,3] 宁津生[2,3] 肖玉刚[2] 

机构地区：[1]广东工业大学测绘工程系,广东广州510006 [2]武汉大学测绘学院,湖北武汉430079 [3]武汉大学地球空间环境与大地测量教育部重点实验室,湖北武汉430079

出　　处：《武汉大学学报（信息科学版）》2015年第6期772-778,共7页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金资助项目(41174062);国家973计划资助项目(2013CB733302);地球空间环境和大地测量教育部重点实验室开放基金资助项目(12-02-05)~~

摘　　要：基于窗函数法和切比雪夫逼近法设计了两类适用于航空矢量重力测量的有限冲激响应（FIR）低通数字滤波器。先采用模拟高度数据验证了滤波器的性能,然后对实测静态GPS数据进行了低通滤波处理,并详细分析了滤波器的相位延迟和边界效应等影响。结果表明：①在相同的设计指标下,依照切比雪夫逼近法所设计的滤波器比采用窗函数法设计的滤波器具有更好的低通滤波效果;②对于静态GPS测量数据,依照切比雪夫逼近法所设计的滤波器能以±（1-2）mGal（1 mGal=10^-5 m/s^2）的精度确定垂直加速度,以优于±1mGal的精度确定水平加速度。Two FIR lowpass digital filters were designed for airborne vector gravimetry using window function and Chebyshev approximation. Firstly, simulated heights were used to test the performance of the filters. Secondly, GPS static positioning data was processed using these two filters during data processing phase delay. The boundary effect is discussed explicitly and some conclusions are drawn as follows：① With the same design parameters, Chebyshev approximation gets better results than the window function; ② The accuracy of the accelerations derived from GPS static positioning data are about ±（1-2） mGal in the vertical direction and better than ±1 mGal in the horizontal direction when Chebyshev approximation is used.

关 键 词：航空重力矢量测量 FIR低通数字滤波器 窗函数法 切比雪夫逼近法 相位延迟 

分 类 号：P223.0[天文地球—大地测量学与测量工程]