Nonlinear Dynamics and Chaotic Behavior of the Sampling Phase-Locked Loop

Geza Kolumban, Béla Vizvári

Research output: Contribution to journalArticle

5 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)333-337
Number of pages5
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Issue number4
Publication statusPublished - Apr 1994

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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