Data Transmission When the Sampling Frequency Exceeds the Nyquist Rate

In this letter we show that if a channel with a total spectral support of W Hz is sampled at a rate f(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 <= 2 W/f(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(s), the spectral support of the channel, and the subset M of the N integers.