测绘学报 ›› 2016, Vol. 45 ›› Issue (6): 663-669.doi: 10.11947/j.AGCS.2016.20150481

• 大地测量学与导航 • 上一篇    下一篇

航空重力GPS测速多粗差探测方法

郑凯1, 刘站科1,2, 肖学年2, 张小红1   

  1. 1. 武汉大学测绘学院, 湖北 武汉 430079;
    2. 国家测绘地理信息局第一大地测量队, 陕西 西安 710054
  • 收稿日期:2015-09-18 修回日期:2016-02-13 出版日期:2016-06-20 发布日期:2016-06-29
  • 通讯作者: 张小红 E-mail:xhzhang@sgg.whu.edu.cn E-mail:xhzhang@sgg.whu.edu.cn
  • 作者简介:郑凯(1990-),男,硕士,研究方向为GNSS精密测速及加速度。E-mail:zhengkai@whu.edu.cn
  • 基金资助:
    公益性行业科研专项(201512002);国家自然科学基金(41474025)

Method of Multi-dimensional Gross Errors Snooping of GPS Velocity Estimation in Airborne Gravimetry

ZHENG Kai1, LIU Zhanke1,2, XIAO Xuenian2, ZHANG Xiaohong1   

  1. 1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;
    2. The First Geodetic Surveying Brigade of National Administration of Surveying, Mapping and Geoinformation, Xi'an 710054, China
  • Received:2015-09-18 Revised:2016-02-13 Online:2016-06-20 Published:2016-06-29
  • Supported by:
    The Special Scientific Research Fund for Public Welfare Profession of China (No. 201512002);National Natural Science Foundation of China (No. 41474025)

摘要: GPS速度测量在航空重力测量中具有重要的作用。根据飞机平稳飞行的状态,建立了严密的状态方程,利用常加速度模型的速度预测值,构建了观测值验前残差检验量Q,并给出其误差源:观测误差与速度预测误差,根据检验量Q的统计特性结合IGG Ⅲ抗差方案,对含粗差的观测值作降权处理。采用静态数据分析观测误差的统计特性,并给出其模型参数,同时分析了理想运动状态下的速度预测精度以及数据采样率与新方法粗差探测能力之间的关系。通过静态和动态算例表明,新方法能有效探测出小于1周的粗差。

关键词: 航空重力测量, 常加速度模型, GPS测速, IGG Ⅲ方案, 多粗差探测

Abstract: Precision velocity plays an important role in airborne gravimetry. Since the aircraft in a state of stable flight, we could establish a strict state equation with constant acceleration model for it, then obtained predicted velocity which was used for constructing a priori residual Q to detect the gross errors. Theoretical research showed that Q was influenced by the accuracy of predicted velocity and the measurement errors. According to the statistical features of Q combined with IGG Ⅲ principle, we could lower the contribution of the observation that contained the gross errors. Static testing was used for analyzing the characteristic of measurement errors as well as the accuracy of predicted velocity under the simulated ideal flight environment where the acceleration was approximate to a constant, the results also showed the relationship between the sampling rate and the ability of detecting gross errors. Both the static and kinematic tests demonstrate that new method can well detect the gross error smaller than 1 cycle.

Key words: airborne gravimetry, constant acceleration model, GPS velocity estimation, IGG Ⅲ scheme, detection for multi-dimensional gross error

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