测绘科学技术学报2025，Vol.41Issue(2)：140-145,6.DOI:10.3969/j.issn.1673-6338.2025.02.005
BDS-3伪距随机模型适用性分析
Assessment of the Suitability of the BDS-3 Pseudorange Stochastic Model
摘要
Abstract
This paper establishes a method for analyzing the applicability of the BDS-3 pseudorange stochastic mod-el in single point positioning.Firstly,the variations of pseudorange noise with respect to satellite elevation angle and signal-to-noise ratio(SNR)are analyzed,revealing a significant correlation between pseudorange noise and both elevation angle and SNR.Secondly,the least squares fitting method is employed to refine stochastic models based on sine functions,cosine functions,piecewise functions,exponential functions,and improved SNR func-tions,in order to obtain the fitting coefficients and errors for different stochastic models.Finally,the analysis of fit-ting errors and the accuracy of pseudorange single point positioning is conducted to identify the suitable pseudor-ange stochastic model for BDS-3.Experimental results indicate that the pseudorange observation accuracy of BDS-3 is closely related to the elevation angle and signal-to-noise ratio.Within different ranges of elevation angles and SNR,there are differences in the precision description capabilities of the two types of stochastic models for pseud-orange noise.The improvement effects of the stochastic models on positioning performance,ranked from best to worst,are as follows:exponential function,sine function,SNR function,cosine function,and piecewise function.The exponential function model exhibits the smallest fitting error and the highest positioning accuracy compared to the other four stochastic models.The exponential function model shows an average improvement rate in positioning accuracy of 14.80%,14.01%,and 13.88%in the East,North,and Up directions,respectively,compared to the piecewise function.The maximum difference in positioning accuracy can reach 2.394 6 meters,with an average difference of 0.682 2 meters.关键词
北斗三号卫星导航系统/随机模型/信噪比/定位精度/拟合误差Key words
BeiDou-3 satellite navigation system/stochastic model/SNR(signal-to-noise ratio)/positioning accu-racy/fitting error分类
测绘与仪器引用本文复制引用
张展鹏,刘长建,王敏,张熙,孙爽..BDS-3伪距随机模型适用性分析[J].测绘科学技术学报,2025,41(2):140-145,6.基金项目
国家自然科学基金项目(42304043 （）
41374041) （）
智慧地球重点实验室基金资助项目(KF2023YB01-11). （KF2023YB01-11）
