Detection of a determinate signal after random reflections
Abstract
A mathematical model of a known signal reflected randomly from an object (as in activedetection techniques such as radar and sonar or in geophysics) is developed. Probability distributions for the random signal are obtained, and the likelihood ratio is calculated for the case of Gaussian white noise. An optimum receiver comprising a matched filter, a series of filters are representing a nonlinear device, and a time integrator is described. It is shown that for the case of low signaltonoise ratio, the nonlinear device is well approximated by a linear and a quadratic filter.
 Publication:

Annales des Telecommunications
 Pub Date:
 August 1983
 Bibcode:
 1983AnTel..38..287P
 Keywords:

 Random Processes;
 Signal Detection;
 Signal Reflection;
 Approximation;
 Bandpass Filters;
 Nonlinear Filters;
 Probability Distribution Functions;
 White Noise;
 Communications and Radar