Optimal filters for the construction of the ensemble pulsar time |
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| Authors: | Alexander E Rodin |
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| Institution: | Pushchino Radio Astronomical Observatory, Pushchino, Moscow region, 142290, Russia |
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| Abstract: | An algorithm of the ensemble pulsar time based on the optimal Wiener filtration method has been constructed. This algorithm allows the separation of the contributions to the post-fit pulsar timing residuals of the atomic clock and the pulsar itself. Filters were designed using the cross- and auto-covariance functions of the timing residuals. The method has been applied to the timing data of millisecond pulsars PSR B1855+09 and B1937+21 and allowed the filtering out of the atomic-scale component from the pulsar data. Direct comparison of the terrestrial time TT(BIPM06) and the ensemble pulsar time PTens revealed that the fractional instability of TT(BIPM06)?PTens is equal to σ z = (0.8 ± 1.9) × 10?15 . Based on the σ z statistics of TT(BIPM06)?PTens, a new limit of the energy density of the gravitational wave background was calculated to be equal to Ωg h 2～ 3 × 10?9 . |
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| Keywords: | methods: data analysis pulsars: individual: PSR B1855+09 pulsars: individual: PSR B1937+21 |
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