Location of Repository

Nonlinear behaviors of bandpass sigma delta modulators with stable system matrices

By Wing-Kuen Ling, Yuk-Fan Ho, Joshua Reiss and Xinghuo Yu

Abstract

It has been established that a class of bandpass sigma delta modulators (SDMs) 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 paper, it is found that fractal patterns may also be exhibited in the phase plane when the system matrices are strictly stable. This occurs when the sets of initial conditions corresponding to convergent or limit cycle behavior do not cover the whole phase plane. Based on the derived analytical results, some interesting results are found. If the bandpass SDM exhibits periodic output, then the period of the symbolic sequence must equal the limiting period of the state space variables. Second, if the state vector converges to some fixed points on the phase portrait, these fixed points do not depend directly on the initial conditions

Topics: H310 Dynamics
Publisher: IEEE
Year: 2005
DOI identifier: 10.1109/ICASSP.2005.1415948
OAI identifier: oai:eprints.lincoln.ac.uk:3099

Suggested articles

Preview

Citations

  1. (2000). A 200-MHz IF 11-bit fourth-order bandpass ADC in SiGe,” doi
  2. (1997). A tutorial introduction to non-linear dynamics and chaos and their application to sigma-delta modulators,” doi
  3. (1999). Ana García Armada, “Effects of bandpass sigma-delta modulation on OFDM signals,” doi
  4. (1993). Exploiting chaos to suppress spurious tones in general double-loop doi
  5. (1999). Limit cycle behavior in the double-loop bandpass - doi
  6. (2001). The Analysis of Chaotic Time Series,"
  7. (1991). The effect of integrator leak in - modulation,” doi
  8. (1995). Theory of lowpass and bandpass sigma-delta modulation,” doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.