The antenna sensitivity to burst signals


\begin{displaymath}
h \simeq \frac{1}{\tau_g} \sqrt{\frac{2 S_h}{ \pi \delta f}}
\end{displaymath}

where: This formula is approximated, since it is valid in the approximation of constant strain sensitivity over the frequency bandwidth of the detector. The exact formula is derived in Extract from LNF internal report, 1996

Another useful formula relates $h$ and the noise effective temperature $T_{eff}$, that is the noise after applying to the GW data a filter matched to delta-like signals.

\begin{displaymath}
h \simeq \frac{L}{\tau_g v^2} \sqrt{\frac{kT_{eff}}{M}}
\end{displaymath}

where: