Non-Linear Mathematical Modelling for Phase Locked Loop

  • Authors

    • Prithiviraj R
    • Selvakumar J
    2018-10-02
    https://doi.org/10.14419/ijet.v7i4.10.20710
  • Phase Locked Loop, Nonlinear model, Stability

  • Design of Phase Locked Loop (PLL) plays a vital role in transceiver field. Phase Locked Loop comprises of three blocks, namely Phase and frequency detector, loop filter and voltage-controlled oscillator. The greater advancements in CMOS technology such as high frequency, high speed, low noise and phase error leads to low-cost PLL This work aims to develop higher order non-linear models of general Phase Locked Loop. The condition of stability and choice of loop filter is also determined. Based on the analysis, the transfer function for PLL is determined.

     

     

  • References

    1. [1] R. E. Best Phase-Lock Loops: Design, Simulation and Application, McGraw-Hill, 2007

      [2] G. A. Leonov and N. V. Kuznetsov, Nonlinear Mathematical Models Of Phase-Locked Loops. Stability and Oscillations, Cambridge Scientific Press, 2014.

      [3] N. Kuznetsov, G. Leonov, M. Yuldashev, and R. Yuldashev, IFAC Proceedings Volumes, “Phase-detector characteristic of classical PLL for general case of linear filter. 81vol. 19, no. 1, pp. 2013.

      [4] F. Gardner Phase–lock techniques John wiley 1996.

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  • How to Cite

    R, P., & J, S. (2018). Non-Linear Mathematical Modelling for Phase Locked Loop. International Journal of Engineering & Technology, 7(4.10), 81-84. https://doi.org/10.14419/ijet.v7i4.10.20710