北斗观测量时间相关随机模型构建及评估

doi:10.13474/j.cnki.11-2246.2021.0111

测绘通报 ›› 2021, Vol. 0 ›› Issue (4): 60-63.doi: 10.13474/j.cnki.11-2246.2021.0111

北斗观测量时间相关随机模型构建及评估

李慧¹, 信泽宇², 刘学¹, 田迪迪¹, 贾春¹

1. 哈尔滨工程大学智能科学与工程学院, 黑龙江哈尔滨 150001;
2. 北方自动控制技术研究所, 山西太原 030006

收稿日期:2020-11-18 出版日期:2021-04-25 发布日期:2021-04-30
作者简介:李慧(1987-),女,博士,讲师,主要研究方向为GNSS精密定位与完好性监测。E-mail:lihuiheu@hrbeu.edu.cn
基金资助:
国家自然科学基金（61803115）；中国博士后科学基金（2020M681078）；山东省博士后创新项目（202003050）；青岛市博士后应用研究项目（QDBSHYYYJXM20200101）；黑龙江省重点实验室开放基金重点项目（HKL-2020-Z01）

Construction and evaluation of time-dependent stochastic model for BDS observation

LI Hui¹, XIN Zeyu², LIU Xue¹, TIAN Didi¹, JIA Chun¹

1. College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, China;
2. North Automatic Control Technology Institute, Taiyuan 030006, China

Received:2020-11-18 Online:2021-04-25 Published:2021-04-30

摘要/Abstract

摘要： 传统多历元累积观测量随机模型通常忽略各历元间观测量的时间相关性，导致其对观测量整体随机特性刻画不准确。考虑北斗系统中GEO卫星观测量的时间相关性较强，本文提出一种适用于多历元下北斗观测量的时间相关随机模型构建方法。在传统多历元随机模型的基础上，将时间相关系数直接引入随机模型，通过观测量站间差分残差计算各历元间观测量的时间相关系数，生成多历元下北斗观测量时间相关随机模型，并利用实际试验数据对其在整周模糊度解算中的表现进行评估。试验结果表明，时间相关随机模型在一定程度上解决了传统随机模型存在的整周模糊度PCF下限估值虚高的问题，提高了整周模糊度Ratio值，有助于整周模糊度顺利通过检验。此外，相比于传统随机模型，时间相关随机模型有效减少了整周模糊度漏检及误警的情况出现，提高了整周模糊度解算的可靠性。

关键词: 时间相关, 随机模型, 北斗, 整周模糊度, Ratio检验

Abstract: The traditional multi-epoch cumulative observational stochastic model usually ignores the time correlation of observations between epochs, which leads to its inaccurate characterization of the overall stochastic characteristics of observations. Considering the strong time correlation of GEO satellite observations in the BeiDou system, this paper proposes a method for constructing a time-dependent stochastic model suitable for BeiDou observations in multiple epochs. Based on the traditional multi-epoch stochastic model, the time correlation coefficient is directly introduced into the stochastic model, and the time correlation coefficient of each epoch observation is calculated by the residual after the difference between observation stations, and time-dependent stochastic model of BDS observation measurement under multi-epoch accumulation is generated, and its performance in integer ambiguity resolution is evaluated by actual experimental data. The experimental results show that the time-dependent stochastic model solves the problem of the overestimation of the lower limit of the PCF for the integer ambiguity in the traditional stochastic model to some extent, improves the Ratio value of integer ambiguity, and helps the integer ambiguity to pass the detection successfully. In addition, compared with the traditional stochastic model, the time-dependent stochastic model can effectively reduce the occurrence of missed detection and false alarm of integer ambiguity, and improves the reliability of integer ambiguity resolution.

Key words: time dependent, stochastic model, BeiDou, integer ambiguity, Ratio test

中图分类号:

P228

李慧, 信泽宇, 刘学, 田迪迪, 贾春. 北斗观测量时间相关随机模型构建及评估[J]. 测绘通报, 2021, 0(4): 60-63.

LI Hui, XIN Zeyu, LIU Xue, TIAN Didi, JIA Chun. Construction and evaluation of time-dependent stochastic model for BDS observation[J]. Bulletin of Surveying and Mapping, 2021, 0(4): 60-63.

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北斗观测量时间相关随机模型构建及评估

Construction and evaluation of time-dependent stochastic model for BDS observation

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