アイテム詳細

要旨

When searching for new gravitational-wave or electromagnetic sources, the $n$
signal parameters (masses, sky location, frequencies,...) 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 $n$-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 $n<4$
the lattice-based template banks significantly outperform the random ones.
However, remarkably, for dimensions $n>8$, the difference is negligible. In
high dimensions, random template banks outperform the best known lattices.