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Analysis of double-frequency jitter on time-delayed oscillators networks and perturbations adjustment in clock

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Abstract

The delay in signal transmission for oscillator networks influences in the synchronization, getting oscillatory behavior. The synchronization occurs by the phase-locked loops (PLL), synchronizing the local oscillator with a reference phase and frequency. The oscillators are implemented in data and telecommunications communication systems, as elements (nodes) for distribution of time signals (clock). In the work is implementated the time signal distribution network, with three nodes, in order to establish a common time base, with adjustment of disturbance in clock. The phase detection process generates a periodic oscillation called double-frequency jitter (DFJ). The DFJ is inevitable, appearing even with the PLL operating in the blocking range. Therefore, this work aims to study the effect of the double frequency oscillation on a network with signal transmission delay, its influence on the synchronous states of network, and the performance of oscillators to recover the common time base of clock, when disturbed.

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Notes

  1. \(\tau _{_j-1,j}\) represents the propagation delay from \(j-1\) to j node.

  2. R is the resistance and C is the capacitance.

  3. According with ITU-T Recomendation G.812 indicate the maximum number of slaves nodes \(j=10\) for a chain in synchronous telecommunication network [12].

  4. For any type of application, it is recommended not to exceed a 400 ms unilateral delay.

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Acknowledgements

We appreciate the commitment of the editors and reviewers of the journal. The corresponding author thanks the “Coordenação de Aperfeiçoamento de Pessoal de Nível Superior”—CAPES, by the financial assistance for the research.

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Authors and Affiliations

  1. Institute of Sciente and Technology, São Paulo State University-UNESP, Av. Três de Março 511, Sorocaba, SP, 18087-180, Brazil

    R. O. Felix & A. M. Bueno

  2. Fedeal University of ABC-UFABC, R. Arcturus 3, São Bernardo do Campo, SP, 09606-070, Brazil

    D. P. F. Correa

  3. School of Engineering, São Paulo State University-UNESP, Av. Eng. Luís Edmundo Carrijo Coube, 14-01, Bauru, SP, 17033-360, Brazil

    J. M. Balthazar

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  1. R. O. Felix
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  2. A. M. Bueno
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  3. D. P. F. Correa
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  4. J. M. Balthazar
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Correspondence to R. O. Felix.

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Felix, R.O., Bueno, A.M., Correa, D.P.F. et al. Analysis of double-frequency jitter on time-delayed oscillators networks and perturbations adjustment in clock. Eur. Phys. J. Spec. Top. 230, 3603–3608 (2021). https://doi.org/10.1140/epjs/s11734-021-00239-1

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