Sketch the waveform (with properly markedaxes) at the output of a matched filter matched for a signal $S(t)$, of duration $T$, given by $$ S(t)= \begin{cases}\text { A } & \text { for } 0<t<\frac{2}{3} \mathrm{~T} \\ 6.22 & \text { for } \frac{2}{3} \mathrm{~T} \leq t<\mathrm{T}\end{cases} $$