Characteristics of the Energy-Like Detector of a Gaussian Signal Against the Background of Likhter Noise

We propose an energy-like detector of signals and analyze its efficiency by an example of detecting a Gaussian signal with zero mathematical expectation and uncorrelated readouts against the background of Likhter noise with independent readouts. Analytical expressions for the probability of correct detection are obtained and statistical simulation is performed. Using particular examples, we show that the energy-like detection characteristics can be much closer to the optimal ones than those of the energy detection.