Nonlinear analysis of correlative tracking systems using renewal process theory
Abstract
The theory of renewal Markov processes is used to develop a method for analyzing correlative tracking systems having either periodic or nonperiodic nonlinearities. It is shown that the stationary probability density function, the mean time between two cycles of the phase process, and the average number of cycles to the right or left for an (N+1)order loop can be obtained by solving a single FokkerPlanck equation of the renewal process. The method is applied to phaselocked loop (PLL) systems.
 Publication:

NASA STI/Recon Technical Report A
 Pub Date:
 February 1975
 Bibcode:
 1975STIA...7521555M
 Keywords:

 FokkerPlanck Equation;
 Markov Processes;
 Nonlinear Systems;
 Phase Locked Systems;
 Probability Density Functions;
 Tracking Filters;
 Correlation Detection;
 Feedback Control;
 Phase Error;
 Signal Processing;
 Signal To Noise Ratios;
 Communications and Radar