Abstract
When searching for new gravitational-wave or electromagnetic sources, the signal parameters (masses, sky location, frequencies, etc.) are unknown. In practice, one hunts for signals at a discrete set of points in parameter space, called a template bank. These may be constructed systematically as a lattice or, alternatively, by placing templates at randomly selected points in parameter space. Here, we calculate the fraction of signals lost by an -dimensional random template bank (compared to a very finely spaced bank). This fraction is compared to the corresponding loss fraction for the best possible lattice-based template banks containing the same number of grid points. For dimensions , the lattice-based template banks significantly outperform the random ones. However, remarkably, for dimensions , the difference is negligible. In high dimensions, random template banks outperform the best known lattices.
- Received 5 March 2022
- Accepted 6 April 2022
DOI:https://doi.org/10.1103/PhysRevD.105.102003
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Open access publication funded by the Max Planck Society.
Published by the American Physical Society