Title :
Nonstationary moments of a random binary pulse train
Author :
Reed, David E. ; Wickert, Mark A.
Author_Institution :
Q-Dot Inc., Colorado Springs, CO, USA
fDate :
5/1/1989 12:00:00 AM
Abstract :
A method for finding the nonstationary moments of a random binary pulse train with arbitrary pulse shape is described and used to find the joint moments of the pulse train with a delayed version of itself. These moments are used in the analysis of nonlinear synchronization circuits. The method uses the moment generating function and a recursive relationship for moments and cumulants. Example derivations are given for moments up to eighth order
Keywords :
information theory; random processes; arbitrary pulse shape; cumulants; joint moments; moment generating function; nonlinear synchronization circuits; nonstationary moments; random binary pulse train; recursive relationship; Access protocols; Circuits; Computer networks; Delay; Pulse shaping methods; Shape; Signal generators; Springs; Testing; Time division multiple access;
Journal_Title :
Information Theory, IEEE Transactions on
