Thus, this signal set consists of signals.

- Draw and accurately label the signal constellation in an appropriately chosen signal space and indicate the decision boundaries formed by the optimum receiver.
- Compute the probability of error achieved by the optimum receiver.
- Assume that the energy of the transmitted signal can never exceed . Is it possible to modify the above signal set in such a way that the probability of error is reduced without exceeding the limit on the signal energy? Explain why or why not.

2003-01-28