测绘学报

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基于抗差最小二乘估计的载体速度计算方法

范龙1,翟国君2,白鸽3   

  1. 1. 解放军信息工程大学测绘学院;海军海洋测绘研究所
    2. 海军海洋测绘研究所
    3. 北京大学
  • 收稿日期:2011-04-01 修回日期:1900-01-01 出版日期:2011-05-05 发布日期:2015-06-24
  • 通讯作者: 范龙

Calculating The Carrier Velocity Based on Robust Least Square Estimation

  • Received:2011-04-01 Revised:1900-01-01 Online:2011-05-05 Published:2015-06-24

摘要: 基于相位率计算载体速度的相位时序差分法的结果易受到载波相位观测值中周跳误差的影响,常用的周跳探测与修复方法可以修正大于一周的周跳,但对于小周跳却没有简便的方法进行处理。经过分析发现,小于一周的周跳误差可导致速度估值结果的精度最大降至dm/s的量级,在高精度的测速应用中有必要对其加以改正。针对相位率值的特点,本文引入抗差最小二乘估计进行速度计算,根据IGGⅢ方案选取合适的等价权因子来降低存在小周跳影响的观测值对结果的贡献,利用航空飞行实验的数据进行了计算分析,结果表明经过抗差后的速度仍可保持在mm/s的量级。

Abstract: The phase time-differential method, which is based on the phase rate observation to calculate the carrier velocity, is easily influenced by the cycle slips errors in carry phase observations. The widely used cycle slips processing method can correct the slips errors which are greater than 1 cycle, however there is not any easy and convenient method that can correctly solve the problems when slips are smaller than 1cycle. Through analyzing, this kind of error can lead to the accuracy magnitude of calculated velocity down to dm/s, the influence should be corrected in high accuracy velocity calculating application. Aiming at the characteristic of the phase rate observation, this paper calculated the carrier velocity by using the robust least square estimation, choosing the equivalent weight by IGGⅢ principle to lower the contribution of the observation that contain the gross error which is smaller than 1 cycle. By Calculating and analyzing the data acquired from a experiment of aviation flying, the result shows that the accuracy magnitude of velocity can keep on after RLS estimation.