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Nonlinear-stability analysis of higher order ? –? modulators for DC and sinusoidal inputs\ud

By Jaswinder Lota, Mohammed Al-Janabi and Izzet Kale

Abstract

The maximum stable input limits for third-, fourth-and fifth-order Chebyshev Type II based ?-? modulators are established using the Describing Function Method for DC and sinusoidal inputs. Closed-form mathematical expressions for the gains of the quantizer for higher-order ?-? modulators whose inputs are two concurrent sinusoids are derived from first principles. The derived stability curves are shown to agree reasonably well with the simulation results for different types of input signals and amplitudes

Topics: UOW3
Publisher: IEEE
OAI identifier: oai:westminsterresearch.wmin.ac.uk:5299
Provided by: WestminsterResearch

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  1. (1992). A geometric view of Σ∆ modulation,”
  2. (1990). A higher order topology for interpolative modulators for oversampling
  3. (1987). An analysis of nonlinear behavior in delta–sigma modulators,”
  4. (1983). Design methodology for Σ∆ modulators,”
  5. (1982). Nonlinear Control Engineering: Describing Function Analysis and Design.
  6. (1975). Nonlinear systems,” in Benchmark Papers
  7. On the dual-input describing func-
  8. (1964). Response of nonlinear characteristics to several inputs and the use of the modified linearity concept in control systems,”
  9. (1988). Some remarks on the stability and performance of the noise shaper or sigma–delta modulator,”
  10. (1994). Stability analysis of the second-order Σ∆ modulator,” in
  11. (1992). Stability and scaling of double loop Σ∆ modulators,” in
  12. (1994). Stability predictions for high-order Σ∆ modulators based on quasilinear modeling,” in
  13. (1968). Vander Velde, Multiple-Input Describing Functions and Nonlinear System Design.
  14. (1991). Σ∆ modulation is a mapping,” in

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