Considering second-harmonic terms in the operation of the phase detector for second-order phase-locked loop

We study the influence of the double-frequency term in the operation of the nonlinear second-order phase-locked loop (PLL). We show that oscillations around the synchronous state obtained from simplified models are unavoidable and we give, in analytical and graphical form, an approximated expression...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. 1, Fundamental theory and applications Vol. 50; no. 6; pp. 805 - 809
Main Authors Piqueira, J.R.C., Monteiro, L.H.A.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.06.2003
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Circuits
Detectors
Differential equations
Frequency synchronization
Low pass filters
Phase detection
Phase locked loops
Signal generators
Telecommunication control
Voltage-controlled oscillators
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Summary:We study the influence of the double-frequency term in the operation of the nonlinear second-order phase-locked loop (PLL). We show that oscillations around the synchronous state obtained from simplified models are unavoidable and we give, in analytical and graphical form, an approximated expression of how the amplitude of the oscillations depends on the normalized loop gain. Numerical simulations confirm the results providing some hints about how to set the PLL gain.
ISSN:1057-7122
1558-1268
DOI:10.1109/TCSI.2003.812612