Solve the following problem:
The two equivalent low pass signals shown in Figure are used to transmit a binary sequence. The equivalent low-pass impulse response of the channel is h(t) = 4δ(t) - 2δ(t -T ). To avoid pulse overlap between successive transmissions, the transmission rate in bits/s is selected to be R = ½T. The transmitted signals are equally probable and are corrupted by additive zero-mean white Gaussian noise having an equivalent lowpass representation z(t) with an autocorrelation function
a. Sketch the two possible equivalent low pass noise-free received waveforms.
b. Specify the optimum receiver and sketch the equivalent low pass impulse responses of all filters used in the optimum receiver. Assume coherent detection of the signals.
