• DocumentCode
    1505246
  • Title

    Phase-jitter dynamics of digital phase-locked loops

  • Author

    Teplinsky, Alexey ; Feely, Orla ; Rogers, Alan

  • Author_Institution
    Inst. of Math., Kiev, Ukraine
  • Volume
    46
  • Issue
    5
  • fYear
    1999
  • fDate
    5/1/1999 12:00:00 AM
  • Firstpage
    545
  • Lastpage
    558
  • Abstract
    Recent work on the subject of digital phase-locked loops (DPLL´s) has examined the unwanted phase jitter that occurs in such systems due to frequency quantization in a number-controlled oscillator. In this paper, we show that the theory of nonlinear dynamics can provide an analytical explanation of this phase jitter, along with other features of the system behavior. In particular, we will describe the phase-jitter dynamics mathematically in terms of the well-known circle rotation map and area-preserving twist map
  • Keywords
    digital phase locked loops; jitter; nonlinear dynamical systems; area preserving twist map; circle rotation map; digital phase locked loop; frequency quantization; nonlinear dynamics; number controlled oscillator; phase jitter; Analytical models; Communication systems; Disk drives; Frequency; Jitter; Nonlinear dynamical systems; Oscillators; Phase locked loops; Quantization; Wireless communication;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.762920
  • Filename
    762920