Template Lattices for a Cross-Correlation Search for Gravitational Waves from Scorpius X-1
| Autor: | Wagner, Katelyn J., Whelan, John T., Wofford, Jared K., Wette, Karl |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Class. Quantum Grav. 39 (2022) 075013 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1361-6382/ac5012 |
| Popis: | We describe the application of the lattice covering problem to the placement of templates in a search for continuous gravitational waves from the low-mass X-Ray binary Scorpius X-1. Efficient placement of templates to cover the parameter space at a given maximum mismatch is an application of the sphere covering problem, for which an implementation is available in the LatticeTiling software library. In the case of Sco X-1, potential correlations, in both the prior uncertainty and the mismatch metric, between the orbital period and orbital phase, lead to complications in the efficient construction of the lattice. We define a shearing coordinate transformation which simultaneously minimizes both of these sources of correlation, and allows us to take advantage of the small prior orbital period uncertainty. The resulting lattices have a factor of about 3 fewer templates than the corresponding parameter space grids constructed by the prior straightforward method, allowing a more sensitive search at the same computing cost and maximum mismatch. Comment: 21 pages, 8 figures |
| Databáze: | arXiv |
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