Solve the following problem:
A 4-kHz band pass channel is to be used for transmission of data at a rate of 9600 bits/s. If ½ N0 = 10-10 W/Hz is the spectral density of the additive zero-mean Gaussian noise in the channel, design a QAM modulation and determine the average power that achieves a bit error probability of 10-6.
Use a signal pulse with a raised cosine spectrum having a roll-off factor of at least 50 percent.