Performance of an -ary orthogonal communication system using stationary stochastic signals

This paper considers the performance of a communication system which transmits for seconds the real part of a sample function of one of stationary complex Gaussian processes whose spectral densities are all frequency translations of the function . At the receiver white Gaussian noise of one-sided density is added. The center frequencies of the processes are assumed to be sufficiently separated that the covariance functions are orthogonal over . Exponently tight bounds are obtained for the error probability of the maximum likelihood receiver. It is shown that the error probability approaches zero exponentially with for all rates up to which is shown to be the channel capacity. Similar results are obtained for the case of stochastic signals with specular components.