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| 利用中心差分法进行GPS定速时最佳点数的选取 | |
| 引用本文： | 王潜心,徐天河,龚佑兴.利用中心差分法进行GPS定速时最佳点数的选取[J].武汉大学学报(信息科学版),2012,37(3):265-268,353. |
| 作者姓名： | 王潜心 徐天河 龚佑兴 |
| 作者单位： | 1. 中南大学地球科学与信息物理学院,长沙市麓山南路932号410083／中国测绘科学研究院,北京市莲花池西路28号100830 2. 西安测绘研究所,西安市雁塔中路1号,710054 3. 国防科学技术大学指挥军官基础教育学院,长沙市德雅路47号,410072 |
| 基金项目： | 国家863计划资助项目，国家自然科学基金资助项目，高等学校全国优秀博士学位论文作者专项资金资助项目，中国博士后科学基金资助项目 |
| 摘 要： | 分析了利用中心差分法进行GPS定速时的主要误差来源,证明了当数据采样率一定时,增加中心差分法的点数可减少微分过程中的截断误差,但同时会放大导出相位率的观测误差,得出中心差分法的最佳点数应使这两种误差之和最小的结论。实验结果表明,当数据采样间隔为1s、载体平均速度和加速度为20m.s-1和0.2m.s-2时,9个点的中心差分法定速精度最高。 |
| 关 键 词： | GPS定速 中心差分法 截断误差 误差传播 |
Optimal Points of Using Central Differences Method for GPS Velocity Determination |
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| WANG Qianxin,XU Tianhe,GONG Youxing.Optimal Points of Using Central Differences Method for GPS Velocity Determination[J].Geomatics and Information Science of Wuhan University,2012,37(3):265-268,353. | |
| Authors: | WANG Qianxin XU Tianhe GONG Youxing |
| Institution: | 1 School of Geosciences and Info-physics,Central South University,932 South Lushan Road, Changsha 410083,China)(2 Institute of Geodesy and Geodynamics,Chinese Academy of Surveying and Mapping,28 West Lianhuachi Road, Beijing 100830,China)(3 Xi’an Research Institute of Surveying and Mapping,1 Middle Yanta Road,Xi’an 710054,China)(4 School of Military Commanding Officer Basic Education,National University of Defense Technology, 47 Deya Road,Changsha 410072,China) |
| Abstract: | Three points central differences method(CDM) has been widely used in GPS velocity and acceleration determination.However,it will lead to a considerable error when the carrier has a strong maneuverability.We prove that the truncation errors will be decreased and observational errors will be increased when more points be used in CDM.For validation of our analysis,some airborne GPS data are used.The results show that if data interval is 1 Hz,average velocity and acceleration of carrier is 20 m·s-1,0.2 m·s-2 respectively,9 points CDM is the best.Comparing of common using 3 points CDM,the precision of velocity determination is improved about 40%.And the improved level is more significant when the carrier has a strong maneuverability. |
| Keywords: | GPS velocity determination central differences method truncation error propagation of error |
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