Template banks based on $\mathbb{Z}^n$ and $A_n^*$ lattices

Understand

Matched filtering is a traditional method used to search a data stream for signals.

• If the source (and hence its $n$ parameters) are unknown, many filters must be employed.
• These form a grid in the $n$-dimensional parameter space, known as a template bank.
• It is often convenient to construct these grids as a lattice.