Title :
Nonlinear mathematical models of Costas Loop for general waveform of input signal
Author :
Kuznetsov, N.V. ; Leonov, G.A. ; Neittaanmaki, Pekka ; Seledzhi, S.M. ; Yuldashev, M.V. ; Yuldashev, R.V.
Author_Institution :
Dept. of Math. Inf. Technol., Univ. of Jyvaskyla, Jyväskylä, Finland
Abstract :
It is well known, that to effectively simulate and investigate PLL systems, nonlinear mathematical model has to be derived. This article provides mathematical model of Costas Loop circuit for wide range of signal waveforms. Investigation of Costas Loop in signal domain is reduced to nonlinear phase domain model of PLL with special phase detector characteristics. This allows to avoid a number of numerical problems in the simulation of Costas Loop in signal domain.
Keywords :
phase detectors; phase locked loops; Costas loop circuit; PLL nonlinear phase domain model; PLL system; input signal general waveform; nonlinear mathematical model; phase detector characteristics; signal domain; signal waveform; Detectors; Equations; Mathematical model; Modeling; Phase locked loops; Voltage-controlled oscillators;
Conference_Titel :
Nonlinear Science and Complexity (NSC), 2012 IEEE 4th International Conference on
Conference_Location :
Budapest
Print_ISBN :
978-1-4673-2702-2
Electronic_ISBN :
978-1-4673-2701-5
DOI :
10.1109/NSC.2012.6304729
