Title :
Frequency-domain conditions for cycle-slipping in discrete system with periodic nonlinearity
Author :
Smirnova, Vera B. ; Utina, Natalia V. ; Shepeljavyi, A.I.
Author_Institution :
Dept. of Math. and Mech., St. Petersburg State Univ., Russia
Abstract :
The property that the phase-error σ(t) increases at least by kΔ, where k is an integer and Δ is the period of the nonlinearity, when t tends to infinity, is called in communication systems "cycle-slipping". For the case of continuous synchronization systems this property is considered. In this paper we extend the analysis to discrete synchronization systems.
Keywords :
Lyapunov matrix equations; discrete systems; frequency-domain analysis; synchronisation; Lyapunov matrix equations; communication systems; continuous synchronization systems; cycle slipping; discrete synchronization systems; frequency domain conditions; periodic nonlinearity; phase error; Erbium; Frequency synchronization; Mathematics; Transfer functions;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1236902
