| GPS精密星历插值法与拟合法的精度分析 |
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| 引用本文： | 万亚豪,张书毕,侯东阳.GPS精密星历插值法与拟合法的精度分析[J].全球定位系统,2011,36(2):40-44. |
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| 作者姓名： | 万亚豪 张书毕 侯东阳 |
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| 作者单位： | 中国矿业大学环境与测绘学院,江苏,徐州,221008 |
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| 摘 要： | 介绍了拉格朗日多项式插值和切比雪夫多项式拟合的原理，阐述了插值和拟合的滑动式算法。通过算例分析了插值法和拟合法的精度，研究了多项式阶数以及节点数对精度的影响。结果表明：在一定范围内，多项式的阶数越高，插值和拟合的精度越高。当切比雪夫多项式拟合节点数选为拟舍阶数加上1时，拟合精度最高，其结果与拉格朗日插值结果有很高的一致性。
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| 关 键 词： | 精密星历 拉格朗日插值 切比雪夫拟合 精度 |
Accuracy Analysis on the Interpolation and Fitting of GPS Precise Ephemeris |
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| WAN Ya-hao,ZHANG Shu-bi,HOU Dong-yang.Accuracy Analysis on the Interpolation and Fitting of GPS Precise Ephemeris[J].Gnss World of China,2011,36(2):40-44. |
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| Authors: | WAN Ya-hao ZHANG Shu-bi HOU Dong-yang |
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| Institution: | WAN Ya-hao,ZHANG Shu-bi,HOU Dong-yang (School of Environmental Science and Spatial Informatics,China University of Mining and Technology,Xuzhou Jiangsu 221008,China) |
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| Abstract: | This paper introduces the theories of Lagrange interpolation and Chebyshev fitting,describes the sliding algorithm of interpolation and fitting.Then the accuracy of interpolation and fitting is analysed by examples,and the research on the influences of polynomial ranks and knots number is also done in the paper.The results showed that with a certain range,the higher the polynomial ranks,the more accurate the interpolation and fitting.The fitting accuracy achieves highest when the knots number of Chebyshev p... |
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| Keywords: | Precise ephemeris Lagrange interpolation Chebyshev fitting accuracy |
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