The Multivariate Normal Distribution as Applied to EMC Problems

Three basic techniques are presented for determining the probability that signal level and signal-to-interference ratio criterion values are met when the desired and interfering signals are jointly normal at the input to a receiver. In addition, several special case solutions and approximations are given that simplify the problem. These approaches are also applicable to determining the cumulative multivariate normal distribution function. Applications of the techniques to special EMC problems, including interference situations that arise in cosite installations, are briefly indicated. In addition, a discussion is given of the interpretation of the probability of meeting acceptance criteria as the probability of message reception by a human operator.