In general, a linear receiver can be represented by the following block diagram:

- Assume that is chosen. How would you choose the constant such that the inner product is independent of the amplitude of the interfering signal.
- Assume now that . Find the distribution of the random variable for both cases, and is transmitted.
- How would you choose the threshold in the receiver above?
- Find the probability of error for this receiver. Which value does the probability of error approach if the amplitude of the interfering user approaches ?
- Indicate the decision boundary formed by this receiver in a suitably chosen and accurately labeled signal space.

2003-01-28