Overlapping pulse trains
Abstract
An event happens the first time several periodic pulse trains all overlap (are all 'on') simultaneously. Assuming that all pulse trains are randomly located with respect to each other, it is argued that the time required is approximately an exponential random variable. A formula for the mean of this time and the results of some tests by computer simulation are given.
 Publication:

IEEE Transactions on Aerospace Electronic Systems
 Pub Date:
 May 1981
 DOI:
 10.1109/TAES.1981.309065
 Bibcode:
 1981ITAES..17..380W
 Keywords:

 Computerized Simulation;
 Probability Theory;
 Pulse Radar;
 Random Variables;
 Systems Simulation;
 Target Recognition;
 Exponential Functions;
 Radar Detection;
 Remote Sensors;
 Statistical Analysis;
 Stochastic Processes;
 Transmission Efficiency;
 Electronics and Electrical Engineering