Abstract：The algorithm for the international atomic time(TAI) is an important factor to guarantee the reliability, long-term frequency stability, frequency accuracy and accessibility of the scale. Several classical and most popular algorithms of atomic time scale were reviewed and introduced . ALGOS, Kalman, and AT1 algorithms were explained and mathematically analyzed. By comparing these three algorithms, it was concluded that main idea of ALGOS and AT1 is weighting average. AT1 is a real-time scale and ALGOS is a deferred-time scale. The influence of noises can be better dealt with by Kalman and Kalman is more applicable for satellite navigation system.
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