This paper presents a detailed analysis of the output signal-to-noise ratio for a correlator consisting of a multiplier followed by an

averager. Both the signal and the noise are assumed to be band-limited functions with Gaussian amplitude distribution; but no restrictions are imposed on either the input SNR or the product of the bandwidth and the time constant of the averager. A family of curves are plotted relating output and input SNR\´s for values of

ranging from 0.1 to 100. The dependence of output SNR characteristics on the relative values of bandwidth and center frequency is discussed.