• DocumentCode
    820129
  • Title

    Nonlinear Behaviors of Bandpass Sigma–Delta Modulators With Stable System Matrices

  • Author

    Ho, Charlotte Yuk-Fan ; Ling, Bingo Wing-Kuen ; Reiss, Joshua D. ; Yu, Xinghuo

  • Author_Institution
    Dept. of Electron. Eng., Queen Mary, Univ. of London
  • Volume
    53
  • Issue
    11
  • fYear
    2006
  • Firstpage
    1240
  • Lastpage
    1244
  • Abstract
    It has been established that a class of bandpass sigma-delta modulators may exhibit state space dynamics which are represented by elliptical or fractal patterns confined within trapezoidal regions when the system matrices are marginally stable. In this brief, it is found that fractal or irregular chaotic patterns may also be exhibited in the phase plane when the system matrices are strictly stable
  • Keywords
    chaos; sigma-delta modulation; state-space methods; transfer function matrices; bandpass modulators; fractal chaotic patterns; irregular chaotic patterns; nonlinear behaviors; sigma-delta modulators; stable system matrix; state space dynamics; Analog-digital conversion; Analytical models; Chaos; Fractals; Frequency; Limit-cycles; Noise shaping; Nonlinear dynamical systems; State-space methods; Transfer functions; Bandpass sigma–delta modulators (SDMs); chaos; fractals; stable system matrix;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems II: Express Briefs, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1549-7747
  • Type

    jour

  • DOI
    10.1109/TCSII.2006.882805
  • Filename
    4012384