- Draw and accurately label the simplest possible block diagram of the minimum probability of error receiver.
- Compute the probability of error for your receiver.
- For the remainder of the problem the following receiver is used:

The nonlinearity in the receiver above has the following characteristic:

and the decision device operates as follows:

Find the threshold in the non-linearity such that the probability that the receiver is ``undecided'' equals some constant . - Find the probability of error (do not consider an ``undecided'' decision as an error) as a function of .
- Illustrate the operation of this receiver in a suitably chosen and accurately labeled signal space diagram.
- Suggest a scenario where the proposed receiver might be useful.

2003-01-28