NXM Optimal Filter¶
Motivation¶
This is a generalization that merges the Cross-Talk and ND optimal filters. The idea is that we have N wires/ channels (such as Q-inner and Q-outer). For every pulse read in any of the N channels, we want to fit M templates \{A^{k}|k=1,2\cdots M\} with amplitudes \{a_{j}|j=1,2\cdots M\}. Hence the name NXM. This OF is intended for Charge channels and hence is simply 2x2.
Theory¶
Y. Liu and S. Oser worked out a new derivation in 2022. Refer to the pdf for details.