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Nonlinear dynamics and chaotic behavior of the sampling phase-locked loop

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2 Author(s)
Kolumban, G. ; RUTCOR, Rutgers Univ., New Brunswick, NJ, USA ; Vizvari, B.

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

Published in:

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:41 ,  Issue: 4 )

Date of Publication:

Apr 1994

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