国际自由原子时原始权重算法初步分析

Preliminary analyses of the original weighting algorithm of the echelle atomique libre

自由原子时(EAL)是国际原子时(TAI)的基础,由分布在世界各地的实验室的数百台原子钟加权平均得到。本文研究讨论了EAL加权平均算法(ALGOS)中原始权重算法的权重问题。推导了原子钟频差方差的数学期望,在近似条件下给出了频差方差的数学分布的解析表达式,从理论上解释了ALGOS原始算法部分试验现象。通过仿真试验验证了理论分析的基本结论。

The echelle atomique libre(EAL)is the basis of international atomic time(TAI).It is a weighted average of several hundred atomic clocks of different laboratories spread worldwide.The weights of the original weighting algorithm of the weighted average algorithm(ALGOS)forming EAL is studied and discussed.The mathematical expectation values of the frequency deviation variances are derived.The mathematical distribution values of the frequency deviation variances are also derived with approximation.These expressions explain some experimental performances.Simulations validate the theoretical analyses.