The Decision Statistics of the Gaussian Signal against Correlated Gaussian Interferences

Abstract

We introduce an approach to obtaining the approximations of the decision statistics of the fast-fluctuating Gaussian random signals. By means of the presented procedure, there can be found a new much simpler expression for the logarithm of the functional of the likelihood ratio of the Gaussian random process against white noise and correlated Gaussian interference. As a result, new simpler circuits for the receivers of random information process can be synthesized.