基于高次差法与多项式法的GPS周跳探测与修复  

GPS Cycle Slip Detection and Correction Based on High Order Difference and Polynomial Method

作　　者：胡辉[1] 陈艳[1] 纪兆云[1] 方练[1] 高明华[1] 

机构地区：[1]华东交通大学信息工程学院院, 南昌330013

出　　处：《河南师范大学学报（自然科学版）》2011年第2期47-50,共4页Journal of Henan Normal University(Natural Science Edition)

基　　金：江西省教育厅科学技术研究项目(GJJ10458);江西省工业支撑计划(赣财教[2010]229号)

摘　　要：在GPS数据处理中,整周跳变的探测与修复是GPS载波相位测量的核心问题之一.本文针对周跳产生的原因,以测量型GPS接收机接收的L1波段的载波相位观测数据为研究对象,MATLAB为实验平台,提出了利用高次差法来探测和修复大于2的大周跳,然后对比拉格朗日插值与切比雪夫拟合的方法来进行小周跳修复的组合算法.通过实验得出,该种组合算法能将最终的周跳修正到非常理想的效果,并且切比雪夫拟合的修复效果要优于拉格朗日插值,误差在1个周跳之内,而且修正了高次差法对小周跳不敏感的特性.The cycle-slip detection and correction is the one of the key problems of GPS carrier phase measurement in the GPS data processing.The paper takes the carrier phase observation data of L1 as the research object on the platform of MATLAB making an advanced study for cycle-slip detection and correction.It brings forward a combinational algorithm that takes the high order time difference to detect and correct the large cycle-slip which is more than 2 cycle-slips and then makes the Lagrange interpolation and the Chebyshev fitting correct the small cycle-slip.It gets a conclusion from the experiment and this combinational algorithm is very perfect which could correct small cycle-slip within the error of one cycle-slip.And the Chebyshev fitting is superior to the Lagrange interpolation.

关 键 词：GPS 载波相位 周跳 高次差法 拉格朗日插值 切比雪夫拟合 

分 类 号：N55[自然科学总论] G658.3[文化科学—教育学]