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

doi:10.11947/j.AGCS.2020.20190170

Abstract

Abstract: 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.

Key words: echelle atomique libre (EAL), ALGOS algorithm, atomic clock, weighted average, weight

CLC Number:

P228

WU Yiwei. Preliminary analyses of the original weighting algorithm of the echelle atomique libre[J]. Acta Geodaetica et Cartographica Sinica, 2020, 49(4): 415-422.

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