Response to the following problem:
Consider an M-ary digital communication system where M = 2N , and N is the dimension of the signal space. Suppose that the M signal vectors lie on the vertices of a hypercube that is centered at the origin. Determine the average probability of a symbol error as a function of εb/N0 where Es is the energy per symbol, ½ N0 is the power spectral density of the AWGN, and all signal points are equally probable.