Chebyshev多项式在PPP卫星钟内插计算中的应用研究

Analysis of Chebyshev polynomial fitting GPS satellite clock error product in precise point positioning

在精密单点定位中,卫星星历、观测值和卫星钟钟差需要达到时间上的同步。运用Chebyshev多项式对卫星钟差产品进行内插计算。4~10阶Chebyshev多项式内插结果可以达到亚纳秒级别,且9阶时精度最高,然后将内插结果应用到精密单点定位中。实验结果表明：利用Chebyshev多项式内插计算得到的钟差产品可以满足精密单点定位的需要。

In precise point positioning,satellite ephemeris product,observations and satellite clock error product need to achieve synchronization of time. Using the chebyshev polynomial,we interpolate satellite clock error product,4 to 10 order chebyshev polynomial interpolation results reach the level of nanoseconds,and when the order is 9,the precision is the highest. Then the interpolation results applied to the precise point positioning. Experiments show that the chebyshev polynomial interpolation to calculate the clock error product can completely meet the needs of precise point positioning.