Optimum network functions for the sampling of signals in noise

The paper examines the detection of a signal received upon a noise background, and determines the transfer functions of the networks which maximize (a) the ratio between the average amplitude of n successive samples of the output signal and the r.m.s. output noise, and (b) a continuous sample of the output. The optimum ratio is calculated when the input is a rectangular pulse upon white noise or a cosine pulse upon non-white noise.