Data transmission when the sampling frequency exceeds the Nyquist rate

We show that if a channel with a total spectral support of W Hz is sampled at a rate f/sub s/>2W Hz (exceeding the Nyquist condition), it is possible to find integers M, N such that only a certain subset, consisting of M members of the N integers, carries independent data which obey M/N/spl les/2W/f/sub s/. Not all integers M, N satisfying this inequality will work, and even for a working set of M and N, not every subset M of N integers will work. We derive the relation between M, N, f/sub s/, the spectral support of the channel, and the subset M of the N integers.