Response to the following problem:
Consider the signal
s(t) = { (A/T)t cos 2πfct 0≤t≤T
{0 otherwise
1. Determine the impulse response of the matched filter for the signal.
2. Determine the output of the matched filter at t = T.
3. Suppose the signal s(t) is passed through a correlator that correlates the input s(t) with s(t). Determine the value of the correlator output at t = T. Compare your result with that in part 2.