Interpolation analysis of BDS precision ephemeris based on sliding Fourier series
-
摘要: 精密星历的内插是全球卫星导航系统（GNSS）高精度定位数据处理的重要工作之一，其内插的精度也直接影响着定位精度.本文综合滑动式插值理论与傅里叶级数算法，通过采用不同阶数的傅里叶级数和9阶切比雪夫多项式拟合内插北斗卫星导航系统（BDS）中的地球同步轨道（GEO）卫星、倾斜地球同步轨道（IGSO）卫星、中圆轨道（MEO）卫星精密星历，来分析傅里叶级数插值在BDS精密星历内插中的插值效果.实验表明，不同阶数，傅里叶级数内插效果不同.其中，采用3阶傅里叶级数GEO卫星与IGSO卫星精密星历内插精度最高，达到毫米级精度，MEO卫星在采用4阶傅里叶级数时内插精度最高，达到厘米级精度.对比两种不同内插算法，9阶切比雪夫拟合更适用于GEO卫星与IGSO卫星，而MEO卫星使用傅里叶级数插值精度更高.Abstract: The interpolation of precise ephemeris is one of the important tasks of GNSS data processing, and its interpolation accuracy also directly affects the positioning accuracy. This paper integrates sliding interpolation theory and Fourier series algorithm, and uses different orders of Fourier series and 9th-order Chebyshev polynomials to fit and interpolate The precision ephemeris of GEO satellite, IGSO satellite, MEO satellite in BDS so as to analyze the interpolation effect of Fourier series interpolation in BDS precision ephemeris interpolation. Experiments show that GEO satellites and IGSO satellites have the highest degree of accuracy when the order of Fourier series is 3, reaching millimeter accuracy. And MEO satellites have the highest accuracy when the order is 4, reaching centimeter accuracy. Compared result shows that 9-order chebyshev fitting in precise ephemeris of GEO satellites and IGSO satellites has higher accuracy, while Fourier series interpolation in that of MEO satellites has higher accuracy.
-
Key words:
- precision ephemeris /
- Fourier series /
- Chebyshev fitting /
- sliding interpolation
-
[1] 李征航,黄劲松. GPS测量与数据处理[M].3版.武汉:武汉大学出版社,2016. [2] 李天驰,王果.多模GNSS卫星轨道插值方法研究[J].河南工程学院学报(自然科学版),2020,32(2):38-44. [3] 鹿德凯,姜本朋,曹景庆,等. 基于拉格朗日多项式的精密星历坐标插值[J].北京测绘,2015(2):59-62. [4] 付英,秦长坤.两种IGS精密星历插值方法的精度探究[J].测绘与空间地理信息,2018,41(10):160-162. [5] 刘刚,邵楠.两种IGS精密星历多项式插值方法的比较分析[J].城市勘测,2012(1):107-109,119. [6] 苏怡婷,肖琴琴.利用精密星历计算北斗卫星坐标的方法探讨[J].湖南城市学院学报(自然科学版),2018,27(6):57-62. [7] 李振昌,李仲勤.滑动式切比雪夫多项式拟合法在BDS精密星历内插中的应用[J].测绘工程,2019,28(4):49-53. [8] 赵娜.一种新的GPS精密星历插值方法[J].北京测绘,2018,32(2):186-189 [9] 从建锋,刘智敏,刘盼,等.基于非滑动式与滑动式BDS精密星历内插及其精度分析[J].测绘工程,2019,28(6):22-29 [10] 李彤,魏自来.滑动式切比雪夫插值算法在精密星历内插中的研究[J]. 测绘与空间地理信息, 2019, 42(3):158-161. -
点击查看大图
计量
- 文章访问数: 617
- HTML全文浏览量: 212
- PDF下载量: 21
- 被引次数: 0
下载:
