Performance of Random Template Banks

Understand

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).