Concepts of Wireless Networking - Old Questions

3. The transmitted signal is given by:

g(t) = e-ut, 0 ≤ t ≤ T

where T is the symbol interval. The signal is corrupted by additive white Gaussian noise with zero mean and two-sided power spectral density none wat / Hz. The optimum detector is the matched filter.

a) Find the sketch impulse response of the filter which is matched to the original g(t).

b) Derive the output of the filter.(3+3)