Analysis of chaotic synchronization of cascade coupled systems for phase-locked loop using wavelet analysis

Аннотация

A method for detection and study of chaotic synchronization of cascade coupled single ring continuous phase-locked-loop systems is based on the determination of the phase of chaotic signal using continuous wavelet transform and the subsequent monitoring of phases on time (frequency) scales. Morlet, Gauss, Shannon, and B-spline complex wavelets are studied. The results of mathematical simulation are presented. Signal-to-noise ratios that allow chaotic phase synchronization are estimated.