Simulate the multi-level QAM system of Problem 8.3.5. Estimate the probability of symbol error and the probability of bit error as a function of the noise variance σ2.
Problem 8.3.5
Suppose a user of the multilevel QPSK system needs to decode only the third bit k of the message ijk. For k = 0, 1, let Hk denote the hypothesis that the third bit was k. What are the acceptance sets A0 and A1? What is P[B3], the probability that the third bit is in error?