An ensemble pulsar time algorithm using wavelet decomposition

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrometry: Time, Method: Numerical

Scientific paper

Pulsar time defined by single pulsar is influenced by several noise sources, to weaken these influence for gaining a more stable time scale, one can take an ensemble analysis method to singular pulsar time to obtain ensemble pulsar time. In this paper, two algorithms are introduced and are used in the two pulsar: PSR, B1855+09 and PSR B1937+21 .Firstly, classical weighted average algorithm is introduced, to gain the best long-term stability of ensemble pulsar time, one can choose the weight according to the long-term stability of each pulsars and the weight is inverse proportion to the long-term stability of each pulsar. The weight must be unitary. Secondly, for different pulsars have different rotation frequency, and the noise sources have different influence at different frequency to each pulsar, one can apply wavelet analysis algorithm to integrate the pulsar time, the weights are chosen according to reciprocal of wavelet average square error. The wavelet decomposition algorithm can hold the whole stability on different frequency, but the classical weight algorithm can't meet this point. So wavelet decomposition can effectively restrain the influence of noise on different frequency, and attain better result.

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