摘要
导航接收机中通常采用开普勒轨道参数法计算卫星的三维位置和速度。这种算法计算量较大,在资源有限的廉价用户机或要求高频度输出卫星位置和速度的高动态接收机中会使处理器资源非常紧张。采用Lagrange插值算法可以获得相同精度的卫星位置和速度,且大大降低计算量。利用GPS数据对不同插值区间长度和插值阶数的Lagrange插值法的计算精度和处理时延进行了定量分析。结果表明,Lagrange插值算法计算卫星位置和速度可以使处理时延降低十几倍,这在每个历元的导航解算需要同时计算多颗卫星位置和速度的接收机中具有重要意义。
In satellite navigation receivers, satellite＇ s position and velocity was calculated by algorithm of Kepler orbit -parameters. It was difficult to realize in cheap receivers with limit resources and high dynamic receivers which was required for high frequency of satellite＇ s position and velocity output for the calculation quantity of this algorithm was great. Lagrange insert- value algorithm can reduce the calculation quantity greatly and the precision of satellite＇ s position and velocity will not be reduced. Lagrange analyzed with different insert - zone length and insert - value algorithm＇ s precision and processing time are quantitatively insert rank. The results indicates that the processing time can be reduced at least ten times by Lagrange insert - value algorithm, and it has great meaning in receiver＇ s navigation solution which must calculate several satellites＇ position and velocity at each epoch
出处
《航空计算技术》
2008年第4期14-17,共4页
Aeronautical Computing Technique
基金
新世纪优秀人才支持计划(NCET-04-0995)
关键词
LAGRANGE插值
卫星位置和速度
插值阶数
处理时延
lagrange insert- value algorithm
satellite＇s position and velocity
ranks of insert - value
processing delay
