- Sketch the simplest possible block diagram of the optimum receiver and compute the probability of error attained by your receiver.
- For the remainder of the problem, assume that the channel has an impulse response

Further, to avoid problems with overlapping of signals (*intersymbol interference*), consecutive transmissions are spaced seconds.

Sketch the two possible received signals if the channel introduces no noise. - Compute the probability of error that your receiver from part (a) achieves if the channel impulse is as given above and the noise spectral height is .
- If the channel impulse response is known at the receiver, can you design a better receiver than the one in part (a)? If yes, draw a block diagram of the new receiver and compute the associated probability of error. If no, explain why not.

2003-01-28