HIGH-FREQUENCY ANALYSIS OF PHASE-LOCKED LOOP AND PHASE DETECTOR CHARACTERISTIC COMPUTATION

N. V. Kuznetsov, G. A. Leonov, P. Neittaanmäki, S. M. Seledzhi, M. V. Yuldashev, R. V. Yuldashev

2011

Abstract

Problems of rigorous mathematical analysis of PLL are discussed. An analytical method for phase detector characteristics computation is suggested and new classes of phase detector characteristics are computed. Effective methods for nonlinear analysis of PLL are discussed.

References

  1. Abramovitch D., Phase-Locked Loops: A control Centric Tutorial. Proceedings of the American Control Conference, Vol. 1, pp. 1-15, 2002.
  2. Abramovitch D., Phase-Locked Loops: A control Centric Tutorial. Proceedings of the American Control Conference, Vol. 1, pp. 1-15, 2002.
  3. Best R.E., Phase-Lock Loops: Design, Simulation and Application. McGraw Hill, 5ed, 2003.
  4. Best R.E., Phase-Lock Loops: Design, Simulation and Application. McGraw Hill, 5ed, 2003.
  5. De Bellescize H. La Reseption synchrone. Onde Electrique, Vol. 11, 1932.
  6. De Bellescize H. La Reseption synchrone. Onde Electrique, Vol. 11, 1932.
  7. Egan W.F., Frequency Synthesis by Phase Lock. John Wiley and Sons, 2ed, 2000.
  8. Egan W.F., Frequency Synthesis by Phase Lock. John Wiley and Sons, 2ed, 2000.
  9. Gardner F.M., Phase-lock techniques. John Wiley, New York, 1966.
  10. Gardner F.M., Phase-lock techniques. John Wiley, New York, 1966.
  11. Gubar' N.A., Investigation of a piecewise linear dynamical system with three parameters. J. Appl. Math. Mech, 25, pp. 1519-1535, 1961.
  12. Gubar' N.A., Investigation of a piecewise linear dynamical system with three parameters. J. Appl. Math. Mech, 25, pp. 1519-1535, 1961.
  13. Kudrewicz J. & Wasowicz S., Equations of Phase-Locked Loops: Dynamics on the Circle, Torus and Cylinder. World Scientific, Singapure, 2007.
  14. Kudrewicz J. & Wasowicz S., Equations of Phase-Locked Loops: Dynamics on the Circle, Torus and Cylinder. World Scientific, Singapure, 2007.
  15. Kuznetsov N.V., Leonov G.A., Neittaanmaki P., Seledzhi S.M., Yuldashev M.V., Yuldashev R.V., Nonlinear analysis of phase-locked loop. 4th International Workshop on Periodic Control Systems, 2010.
  16. Kuznetsov N.V., Leonov G.A., Neittaanmaki P., Seledzhi S.M., Yuldashev M.V., Yuldashev R.V., Nonlinear analysis of phase-locked loop. 4th International Workshop on Periodic Control Systems, 2010.
  17. Kuznetsov N.V., Leonov G.A., Seledzhi S.M., Nonlinear analysis of the Costas loop and phase-locked loop with squarer. Proceedings of the IASTED International Conference on Signal and Image Processing, SIP 2009, pp. 1-7, 2009.
  18. Kuznetsov N.V., Leonov G.A., Seledzhi S.M., Nonlinear analysis of the Costas loop and phase-locked loop with squarer. Proceedings of the IASTED International Conference on Signal and Image Processing, SIP 2009, pp. 1-7, 2009.
  19. Kuznetsov N.V., Leonov G.A., Seledzhi S.M., Neittaanmäki P., Analysis and design of computer architecture circuits with controllable delay line. ICINCO 2009, Proceedings, Vol. 3 SPSMC, pp. 221-224, 2009.
  20. Kuznetsov N.V., Leonov G.A., Seledzhi S.M., Neittaanmäki P., Analysis and design of computer architecture circuits with controllable delay line. ICINCO 2009, Proceedings, Vol. 3 SPSMC, pp. 221-224, 2009.
  21. Kuznetsov N.V., Leonov G.A. Lyapunov quantities, limit cycles and strange behavior of trajectories in twodimensional quadratic systems, Journal of Vibroengineering, Vol. 10, Iss. 4, pp. 460-467, 2008.
  22. Kuznetsov N.V., Leonov G.A. Lyapunov quantities, limit cycles and strange behavior of trajectories in twodimensional quadratic systems, Journal of Vibroengineering, Vol. 10, Iss. 4, pp. 460-467, 2008.
  23. Kuznetsov N.V., Leonov G.A., Seledzhi S.M. Phase Locked Loops Design And Analysis. ICINCO 2008 - 5th International Conference on Informatics in Control, Automation and Robotics, Proceedings SPSMC, pp. 114-118, 2008.
  24. Kuznetsov N.V., Leonov G.A., Seledzhi S.M. Phase Locked Loops Design And Analysis. ICINCO 2008 - 5th International Conference on Informatics in Control, Automation and Robotics, Proceedings SPSMC, pp. 114-118, 2008.
  25. Kroupa V. Phase Lock Loops and Frequency Synthesis. John Wiley & Sons, 2003.
  26. Kroupa V. Phase Lock Loops and Frequency Synthesis. John Wiley & Sons, 2003.
  27. Leonov G.A., Kuznetsov N.V., Vagaytsev V.I. Localization of hidden Chua's attractors. Physics Letters A, 2011 (doi:10.1016/j.physleta.2011.04.037)
  28. Leonov G.A., Kuznetsov N.V., Vagaytsev V.I. Localization of hidden Chua's attractors. Physics Letters A, 2011 (doi:10.1016/j.physleta.2011.04.037)
  29. Leonov G.A., Vagaitsev V.I., Kuznetsov N.V., Algorithm for localizing Chua attractors based on the harmonic linearization method // Doklady Mathematics, 82(1), pp. 663-666, 2010.
  30. Leonov G.A., Vagaitsev V.I., Kuznetsov N.V., Algorithm for localizing Chua attractors based on the harmonic linearization method // Doklady Mathematics, 82(1), pp. 663-666, 2010.
  31. Leonov G.A., Bragin V.O., Kuznetsov N.V., Algorithm for Constructing Counterexamples to the Kalman Problem. Doklady Mathematics, Vol. 82, No. 1, pp. 540- 542, 2010.
  32. Leonov G.A., Bragin V.O., Kuznetsov N.V., Algorithm for Constructing Counterexamples to the Kalman Problem. Doklady Mathematics, Vol. 82, No. 1, pp. 540- 542, 2010.
  33. Leonov G.A., Seledzhi S.M., Kuznetsov N.V., P. Neittaanmäki., Asymptotic analysis of phase control system for clocks in multiprocessor arrays, ICINCO 2010 - Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics, Vol. 3, pp. 99-102, 2010.
  34. Leonov G.A., Seledzhi S.M., Kuznetsov N.V., P. Neittaanmäki., Asymptotic analysis of phase control system for clocks in multiprocessor arrays, ICINCO 2010 - Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics, Vol. 3, pp. 99-102, 2010.
  35. Leonov G.A., Kuznetsov N.V., Seledzhi S.M. Nonlinear Analysis and Design of Phase-Locked Loops. pp. 89- 114. In Automation control - Theory and Practice, A.D. Rodic (ed.), In-Tech, 2009.
  36. Leonov G.A., Kuznetsov N.V., Seledzhi S.M. Nonlinear Analysis and Design of Phase-Locked Loops. pp. 89- 114. In Automation control - Theory and Practice, A.D. Rodic (ed.), In-Tech, 2009.
  37. Leonov G.A., Computation of phase detector characteristics in phase-locked loops for clock synchronization. Doklady Mathematics, 78(1), pp. 643-645, 2008.
  38. Leonov G.A., Computation of phase detector characteristics in phase-locked loops for clock synchronization. Doklady Mathematics, 78(1), pp. 643-645, 2008.
  39. Leonov G.A., Kuznetsov N.V., Time-Varying Linearization and the Perron effects. Int. J. of Bifurcation and Chaos, 17(4), pp. 1079-1107, 2007.
  40. Leonov G.A., Kuznetsov N.V., Time-Varying Linearization and the Perron effects. Int. J. of Bifurcation and Chaos, 17(4), pp. 1079-1107, 2007.
  41. Leonov G.A.. Phase synchronization: Theory and applications. Automation and remote control, 67(10), pp. 1573-1609, 2006.
  42. Leonov G.A.. Phase synchronization: Theory and applications. Automation and remote control, 67(10), pp. 1573-1609, 2006.
  43. Leonov G.A. & Seledghi S.M., Stability and bifurcations of phase-locked loops for digital signal processors. Int. J. of bifurcation and chaos, 15(4), pp. 1347-1360, 2005.
  44. Leonov G.A. & Seledghi S.M., Stability and bifurcations of phase-locked loops for digital signal processors. Int. J. of bifurcation and chaos, 15(4), pp. 1347-1360, 2005.
  45. Leonov G.A. & Seledzhi S.M., An astatic phase-locked system for digital signal processors: Circuit design and stability. Automation and Remote Control, 66(3), pp. 348-355, 2005.
  46. Leonov G.A. & Seledzhi S.M., An astatic phase-locked system for digital signal processors: Circuit design and stability. Automation and Remote Control, 66(3), pp. 348-355, 2005.
  47. Leonov G.A., Ponomarenko D., and Smirnova V., Frequency-Domain Methods for Nonlinear Analysis. Theory and Applications. World Scientific, Singapore, 1996.
  48. Leonov G.A., Ponomarenko D., and Smirnova V., Frequency-Domain Methods for Nonlinear Analysis. Theory and Applications. World Scientific, Singapore, 1996.
  49. Leonov G.A., Smirnova V.B., Stability and oscillations of solutions of integro-differential equations of pendulum-like systems. Mathematische Nachrichten, 177, pp. 157-181, 1996.
  50. Leonov G.A., Smirnova V.B., Stability and oscillations of solutions of integro-differential equations of pendulum-like systems. Mathematische Nachrichten, 177, pp. 157-181, 1996.
  51. Lindsey W., Synchronization systems in communication and control. Prentice-Hall. New Jersey, 1972.
  52. Lindsey W., Synchronization systems in communication and control. Prentice-Hall. New Jersey, 1972.
  53. Margaris N.I., Theory of the Non-Linear Analog Phase Locked Loop. Springer Verlag, 2004.
  54. Margaris N.I., Theory of the Non-Linear Analog Phase Locked Loop. Springer Verlag, 2004.
  55. Razavi B., Phase-Locking in High-Performance Systems: From Devices to Architectures. John Wiley & Sons, 2003.
  56. Razavi B., Phase-Locking in High-Performance Systems: From Devices to Architectures. John Wiley & Sons, 2003.
  57. Shakhgil'dyan V.V.& Lyakhovkin A.A., Sistemy fazovoi avtopodstroiki chastoty (Phase Locked Systems). Svyaz', Moscow, 1972. (in Russian)
  58. Shakhgil'dyan V.V.& Lyakhovkin A.A., Sistemy fazovoi avtopodstroiki chastoty (Phase Locked Systems). Svyaz', Moscow, 1972. (in Russian)
  59. Suarez A. & Quere R., Stability Analysis of Nonlinear Microwave Circuits. Artech House, 2003.
  60. Suarez A. & Quere R., Stability Analysis of Nonlinear Microwave Circuits. Artech House, 2003.
  61. Tricomi F., Integrazione di differeziale presentasi in electrotechnica. Annali della Roma Schuola Normale Superiore de Pisa, Vol. 2, N2, pp. 1-20, 1993.
  62. Tricomi F., Integrazione di differeziale presentasi in electrotechnica. Annali della Roma Schuola Normale Superiore de Pisa, Vol. 2, N2, pp. 1-20, 1993.
  63. Viterbi A.J., Principles of coherent communications. McGraw-Hill, New York, 1966.
  64. Viterbi A.J., Principles of coherent communications. McGraw-Hill, New York, 1966.
  65. Wendt K.R. & Fredentall G.L., Automatic frequency and phase control of synchronization in TV receivers. Proceedings IRE, 31, N1, 1943.
  66. Wendt K.R. & Fredentall G.L., Automatic frequency and phase control of synchronization in TV receivers. Proceedings IRE, 31, N1, 1943.
Download


Paper Citation


in Harvard Style

V. Kuznetsov N., A. Leonov G., Neittaanmäki P., M. Seledzhi S., V. Yuldashev M. and V. Yuldashev R. (2011). HIGH-FREQUENCY ANALYSIS OF PHASE-LOCKED LOOP AND PHASE DETECTOR CHARACTERISTIC COMPUTATION . In Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8425-74-4, pages 272-278. DOI: 10.5220/0003522502720278


in Harvard Style

V. Kuznetsov N., A. Leonov G., Neittaanmäki P., M. Seledzhi S., V. Yuldashev M. and V. Yuldashev R. (2011). HIGH-FREQUENCY ANALYSIS OF PHASE-LOCKED LOOP AND PHASE DETECTOR CHARACTERISTIC COMPUTATION . In Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8425-74-4, pages 272-278. DOI: 10.5220/0003522502720278


in Bibtex Style

@conference{icinco11,
author={N. V. Kuznetsov and G. A. Leonov and P. Neittaanmäki and S. M. Seledzhi and M. V. Yuldashev and R. V. Yuldashev},
title={HIGH-FREQUENCY ANALYSIS OF PHASE-LOCKED LOOP AND PHASE DETECTOR CHARACTERISTIC COMPUTATION},
booktitle={Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2011},
pages={272-278},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003522502720278},
isbn={978-989-8425-74-4},
}


in Bibtex Style

@conference{icinco11,
author={N. V. Kuznetsov and G. A. Leonov and P. Neittaanmäki and S. M. Seledzhi and M. V. Yuldashev and R. V. Yuldashev},
title={HIGH-FREQUENCY ANALYSIS OF PHASE-LOCKED LOOP AND PHASE DETECTOR CHARACTERISTIC COMPUTATION},
booktitle={Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2011},
pages={272-278},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003522502720278},
isbn={978-989-8425-74-4},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - HIGH-FREQUENCY ANALYSIS OF PHASE-LOCKED LOOP AND PHASE DETECTOR CHARACTERISTIC COMPUTATION
SN - 978-989-8425-74-4
AU - V. Kuznetsov N.
AU - A. Leonov G.
AU - Neittaanmäki P.
AU - M. Seledzhi S.
AU - V. Yuldashev M.
AU - V. Yuldashev R.
PY - 2011
SP - 272
EP - 278
DO - 10.5220/0003522502720278


in EndNote Style

TY - CONF
JO - Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - HIGH-FREQUENCY ANALYSIS OF PHASE-LOCKED LOOP AND PHASE DETECTOR CHARACTERISTIC COMPUTATION
SN - 978-989-8425-74-4
AU - V. Kuznetsov N.
AU - A. Leonov G.
AU - Neittaanmäki P.
AU - M. Seledzhi S.
AU - V. Yuldashev M.
AU - V. Yuldashev R.
PY - 2011
SP - 272
EP - 278
DO - 10.5220/0003522502720278