Determine the value of the output of the matched filter

Question

Response to the following problem:

Consider the signal waveform

         n
s(t) = Σ  c₁P(t - iT_c)
         i=1

where p(t) is a rectangular pulse of unit amplitude and duration T_c. The {c_i} may be viewed as a code vector c = (c₁ c₂ ··· c_n), where the elements c_i = ±1. Show that the filter matched to the waveform s(t) may be realized as a cascade of a filter matched to p(t) followed by a discrete-time filter matched to the vector c. Determine the value of the output of the matched filter at the sampling instant t = n_Tc.