Title :
Global nonlinear dynamics of second-order DPLL
Author :
Podgorny, Alexander ; Feely, Orla
Author_Institution :
Dept. of Electron. & Electr. Eng., Univ. Coll. Dublin, Ireland
Abstract :
A second-order digital phase-locked loop (DPLL) may exhibit different behavior depending on the initial values of the internal variables, In this work we examine the global nonlinear dynamics of a second-order PLL by means of bifurcation theory and numerical simulations. In particular we determine regions in the parameter plane for the existence and stability of different attractors and discuss how this influences the system behavior. We also study bifurcations of the attractors of the DPLL
Keywords :
bifurcation; circuit stability; digital phase locked loops; numerical analysis; attractors; bifurcation theory; digital PLL; digital phase-locked loop; global nonlinear dynamics; numerical simulations; parameter plane; second-order DPLL; stability; Bifurcation; Detectors; Difference equations; Educational institutions; Frequency; Phase detection; Phase locked loops; Quantization; Stability; Voltage-controlled oscillators;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.856037
