基于改进抗差模型固定低成本接收机PPP模糊度的方法研究

A Study on the Method of Fixing PPP Ambiguity for Low-cost Receivers Based on an Improved Robust Model

  • 摘要: 由于低成本接收机观测数据质量通常较低,主要表现为观测值中粗差发生率较高以及周跳发生频繁等,导致精密单点定位(precise point positioning,PPP)模糊度固定困难,且在定位过程中常出现重复收敛现象。针对这一问题,本文在经典IGGⅢ(institute of Geodesy&Geophysics Ⅲ)抗差模型的基础上,通过卡尔曼滤波验后残差进一步分析观测值质量并结合周跳信息识别异常值,提出一种改进IGGⅢ抗差模型。采用低成本SinoGNSS接收机采集的不同场景下静态数据,利用改进模型进行PPP部分模糊度固定,结果表明:与经典模型相比,开阔环境中GPS(global position system,GPS)和BDS(BeiDou navigation satellite system)单系统PPP定位精度在E、N方向分别改进了16.81%、38.33%和5.61%、1.39%;在GPS+BDS双系统PPP定位精度在E、N方向分别改进了11.46%、35.75%。遮挡环境中GPS单系统PPP在E、N、U方向的定位精度改进为11.23%、2.65%、23.14%,BDS单系统PPP在E、N、U方向的定位精度改进为14.96%、12.35%、5.76%,GPS+BDS双系统PPP定位精度在E、N、U方向的改进为12.52%、21.15%、8.21%。同时,在遮挡环境下,新模型改进了收敛特性。模糊度首次固定时间缩短了26.05%,模糊度固定率较经典模型也提升了13.61%,但在开阔环境中改进抗差模型对于模糊度收敛特性并无明显改善。

     

    Abstract: Objectives: Due to the generally lower quality of observation data from low-cost receivers, primarily characterized by a high occurrence rate of gross errors and frequent cycle slips in the measurements, fixing ambiguities for precise point positioning (PPP) is difficult. Furthermore, the positioning process often experiences repeated reconvergence. To address this issue, this paper proposes an improved IGGIII (Institute of Geodesy & Geophysics III) robust model. Building upon the classical IGGIII robust model, this improved model uses Kalman filter post-fit residuals to further analyze observation quality and incorporates cycle slip information to identify outliers. Methods: The improved IGGⅢ robust model was used to perform PPP partial ambiguity resolution experiments using static mode data collected by the SinoGNSS receiver in different scenarios. Results: The results indicate that the improved model significantly enhanced positioning accuracy in the horizontal direction in open environments. In occluded environments, it effectively improved positioning performance, reduced the time to first fix of ambiguity, and increased the ambiguity fix rate for both GPS (global positioning system) and BDS (BeiDou navigation satellite system), for both single-system and dual-system (GPS+BDS) PPP. Specifically, the improved model led to accuracy improvements of 16.81% (east) and 38.33% (north) for GPS, and 5.61% (east) and 1.39% (north) for BDS in single-system PPP. For the GPS+BDS dual-system PPP, the improvements reached 11.46% (east) and 35.75% (north). In occluded environments, positioning accuracy along the east, north, and up directions improved by 11.23%, 2.65%, and 23.14% for GPS, and by 14.96%, 12.35%, and 5.76% for BDS. For the dual-system solution, the respective improvements were 12.52% (east), 21.15% (north), and 8.21% (up). Additionally, the time to first fix of ambiguity was reduced by 26.05%, and the ambiguity fix rate increased by 13.61%. Conclusions: The improved model demonstrates enhanced performance in positioning accuracy and ambiguity resolution compared to the classical model. It proves effective in both open and occluded environments, especially in improving the robustness of single-system and dual-system PPP solutions. While convergence performance remains largely unchanged in open environments, the model shows notable advantages under challenging signal conditions.

     

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