Mutual Synchronization of Spatially Distributed 24 GHz Oscillators up to Distances of 500 m
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
Abstract
This brief studies how mutual synchronization of oscillators can be achieved for cross-coupling time delays much larger than the period of the oscillations. Using the closed loop transfer function for a system of two mutually delay-coupled phase-locked loops (PLLs) and applying the Nyquist stability criterion, the critical time delay for which stable in- and anti-phase synchronized states become unstable is calculated. The analysis reveals the range of feed-forward loop gains for a given time delay value so that stable in- or anti-phase synchronized states can exist. These theoretical predictions are then verified by measurements with PLLs operating at 24GHz and for cross-coupling time delays ranging from the nano- to the microseconds domain. Such delays are equivalent to coupling at distances of up to 500m. The experimental results show a good agreement with the theoretical predictions. Hence, this brief shows how to setup a network of mutually delay-coupled PLLs and achieve stable synchronized states for a given time delay.
Details
Originalsprache | Englisch |
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Aufsatznummer | 9 |
Seiten (von - bis) | 3689-3693 |
Seitenumfang | 5 |
Fachzeitschrift | IEEE Transactions on Circuits and Systems II: Express Briefs |
Jahrgang | 69 |
Ausgabenummer | 9 |
Publikationsstatus | Veröffentlicht - 20 Mai 2022 |
Peer-Review-Status | Ja |
Externe IDs
Scopus | 85130483889 |
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Mendeley | eb0f62c5-7e88-377d-bc57-81c70727cb5a |
dblp | journals/tcasII/HoyerWPWJE22 |
unpaywall | 10.1109/tcsii.2022.3176827 |
WOS | 000848263100017 |
ORCID | /0000-0001-6778-7846/work/142240141 |
ORCID | /0000-0002-6200-4707/work/145698424 |
Schlagworte
Forschungsprofillinien der TU Dresden
ASJC Scopus Sachgebiete
Schlagwörter
- Synchronization, couplings, delay coupling, delay effects, delays, frequency synchronization, oscillator, phase locked loops, Delay effects, Frequency measurement, Phase locked loops, Voltage-controlled oscillators, Stability criteria, Delays