On the stability of signal detection
Abstract
One of the basic problems in statistical communication theory is that of detecting, at the end of a communication channel, a signal imbedded in noise. The Gaussian model is a model for which the noise as well as the received signal are Gaussian processes with equivalent laws, so that the resulting detection problem is nonsingular. Unfortunately most solutions to problems involving signals in Gaussian noise are based on a knowledge of the autocorrection function or spectrum (if the noise is stationary). This document studies the probabilties of false alarm and false dismissal for sure signals embedded in additive noise. The noise is contaminated Gaussian, and the framework is such that continuoustime problems can be studied.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 May 1983
 Bibcode:
 1983STIN...8421785G
 Keywords:

 Communication Theory;
 Probability Theory;
 Signal Detection;
 Signal To Noise Ratios;
 Statistical Analysis;
 Covariance;
 Numerical Analysis;
 Random Noise;
 Signal Processing;
 Stability;
 Stochastic Processes;
 Communications and Radar