Chegg Consider the pulse signals
(t) ={A, 0 ≤ t ≤ T , and 0 otherwise.
A filter matched to this signal has the impulse response:
h0(t) = s(t0 − t) = {A, 0 ≤ t0 − t ≤ T or t0 − T ≤ t ≤ t0 and 0 otherwise,
where the parameter t0 will be fixed later. We note that if t0 < T, the filter will be noncausal, since it will have nonzero impulse response for t < 0.
The response of the filter to s(t) is .