Journal Article

Optimal filters for the construction of the ensemble pulsar time

Alexander E. Rodin

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 387, issue 4, pages 1583-1588
Published in print July 2008 | ISSN: 0035-8711
Published online July 2008 | e-ISSN: 1365-2966 | DOI:
Optimal filters for the construction of the ensemble pulsar time

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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 σz= (0.8 ± 1.9) × 10−15. Based on the σz statistics of TT(BIPM06)−PTens, a new limit of the energy density of the gravitational wave background was calculated to be equal to Ωgh2∼ 3 × 10−9.

Keywords: methods: data analysis; pulsars: individual: PSR B1855+09; pulsars: individual: PSR B1937+21

Journal Article.  3436 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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