Coincidence of Pulse Trains

摘要

New methods for determining the time fraction of coincidence of separate periodic pulse trains are considered. The analysis applies solely to pulse trains whose fundamental periods are commensurable. For two pulse trains, the coincidence fraction is easily determined. For three or more pulse trains, a method for determining the largest possible error resulting from direct use of elementary probability theory is developed. Hence the question: ``When does probability theory provide a close approximation to the coincidence fraction?'' is to some degree answered.