A communications system uses unipolar NRZ signals to transmit '1' and '0' bits: s 1 (t) =
Question:
A communications system uses unipolar NRZ signals to transmit '1' and '0' bits: s1(t) = A, 0 < t < T, for a '1' bit and s0(t) = 0, 0 < t < T, for a '0' bit. The received signal is the transmitted signal corrupted by the addition of a white Gaussian noise (AWGN) with zero mean and power spectral density equal to N0/2 W/Hz.
a) Determine the impulse response of the matched filter at s1(t) and draw the optimal receiver for this system. b) Draw the output y(t) of the matched filter when s1(t) is passed and when s0(t) is passed. c) Calculate Eb, the average energy per symbol. d) Determine the error probability of this system in terms of A, T and N0. e) Suggest how the error probability can be improved by changing the signal s0(t) (without changing s1(t)).