The channel adds white Gaussian noise of spectral height to the transmitted signal.

- Draw and accurately label a block diagram of the optimum receiver, i.e., the receiver that minimizes the probability of a wrong decision.
- Find the appropriate signal space and indicate the decision regions of the optimum receiver.
- Compute the minimum probability of error attainable with this signal set.
- Repeat part (b) under the assumption that the amplitude of signal is increased to .
- Find another signal set with that achieves the same performance as the signal set sketched above.

2003-01-28