Title | ||
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Phase jitter dynamics of first-order digital phase-locked loops with frequency-modulated input |
Abstract | ||
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Inherent to digital phase-locked loops is frequency quantization in the number-controlled oscillator which prevents the loop from locking exactly onto its reference signal and introduces unwanted phase jitter. This paper investigates the effect of frequency quantization in a first-order loop with a frequency-modulated input signal. Using tools of nonlinear dynamics, we show that, depending on the modulation amplitude, trajectories in the phase space eventually fall into either an invariant region or a trapping region, the boundaries of which give useful bounds on the steady-state phase jitter excursion. We also derive a sufficient condition for the maximum modulation amplitude to prevent loop cycle slipping. |
Year | DOI | Venue |
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2008 | 10.1109/ISCAS.2008.4541725 | Seattle, WA |
Keywords | Field | DocType |
digital phase locked loops,frequency modulation,jitter,phase locked oscillators,first-order digital phase-locked loops,frequency quantization,frequency-modulated input signal,loop cycle slipping,number-controlled oscillator,steady-state phase jitter excursion | Phase-locked loop,Computer science,Control theory,Phase space,Voltage-controlled oscillator,Electronic engineering,Modulation,Frequency modulation,Jitter,Quantization (signal processing),Amplitude | Conference |
ISSN | ISBN | Citations |
0271-4302 | 978-1-4244-1684-4 | 1 |
PageRank | References | Authors |
0.41 | 4 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Stefan Tertinek | 1 | 79 | 6.74 |
Alexey Teplinsky | 2 | 28 | 3.69 |
Orla Feely | 3 | 90 | 25.65 |