Solve the following problem:
Consider the equivalent lowpass (complex-valued) signal s1(t), 0 ≤ t ≤ T , with energy ε = ∫0T |s1(t)|2 dt
Suppose that this signal is corrupted by AWGN, which is represented by its equivalent lowpass form z(t). Hence, the observed signal is
rl(t) = s1(t) + z(t) , 0≤t≤T
The received signal is passed through a filter that has an (equivalent lowpass) impulse response h1(t). Determine h1(t) so that the filter maximizes the SNR at its output (at t = T ).