| 基于滑动式傅里叶级数的BDS精密星历内插分析 |
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| 引用本文： | 廖怡平,邓健,陈润静,江泽霖.基于滑动式傅里叶级数的BDS精密星历内插分析[J].全球定位系统,2020,45(6):74-79. |
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| 作者姓名： | 廖怡平 邓健 陈润静 江泽霖 |
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| 作者单位： | 厦门理工学院,厦门361024;厦门理工学院,厦门361024;厦门理工学院,厦门361024;厦门理工学院,厦门361024 |
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| 基金项目： | 福建省自然科学基金（2019J01852，2018J01480） |
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| 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.
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| 关 键 词： | 精密星历 傅里叶级数 切比雪夫拟合 滑动式插值 |
| 收稿时间： | 2020-09-21 |
Interpolation analysis of BDS precision ephemeris based on sliding Fourier series |
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| Affiliation: | Xiamen University of Technology, Xiamen 361024, China |
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| 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. |
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