Nonlinear dynamics and chaotic behavior of the hybrid-type sampling phase-locked loop (SPLL) are studied. To perform the analysis correctly from a mathematical point of view, the nonlinear autonomous model of the SPLL has been formulated as a fixed point problem. If the loop-filter is omitted, bifurcations and chaotic behavior can be observed. If the SPLL has a loop-filter, more than one attractor has to be used to describe the acquisition properties of the circuit. One of them is the fixed-point to be achieved, but the others are periodic orbits, i.e., false locks. The regions of convergence for the different attractors are studied and plotted as a function of the loop parameters.
|Number of pages||5|
|Journal||IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications|
|Publication status||Published - Apr 1994|
ASJC Scopus subject areas
- Electrical and Electronic Engineering