Some results on the detection of sinusoidal signals by zero crossing method in the presence of band limited Gaussian noise

Abstract

An experimental investigation has been undertaken on the detection of sinusoidal signals in noise band by the zero crossing method. It is observed that a signal can easily be detected if its frequency is near to the upper band limit of the noise. A theoretical explanation is given on the basis of Rice's formula for the expected number of zero crossings per unit time. An empirical formula for the detectability is given in a simple form which contains both the factors, the signal to noise ratio, and the ratio of signal frequency to the noise bandwidth. © 1969, Walter de Gruyter. All rights reserved.