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Stabilization of third-order, single-stage Sigma-Delta modulators

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Abstract

The issue of stability of higher-order, single-stage Sigma-Delta (ΣΔ) modulators is addressed using a method from nonlinear system theory. As a result, theoretical bounds for the quantizer input of the modulators are derived. A new method for stabilizing the ΣΔ modulators is then presented. It uses the quantizer input bound for possible instability detection. Upon detection of such a state, the highest-order integrator is cut off, effectively reducing the order of the modulator, and thus resulting in a stable system. The method is easily implemented and results in a very good signal-to-noise ratio (SNR) and fast return to normal operation compared to other stabilization methods.

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Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, Imperial College of Science, Technology and Medicine, Exhibition Road, SWT 2BT, London, UK

    A. Pneumatikakis & A. G. Constantinides

  2. Electronics Laboratory Department of Physics, University of Patras, 26500, Patras, Greece

    T. Deliyannis & G. Bourdopoulos

Authors
  1. A. Pneumatikakis
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  2. A. G. Constantinides
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  3. T. Deliyannis
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  4. G. Bourdopoulos
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Additional information

Financial support from General Secretariat for Research and Technology of Greece under contract PENED 95/1729.

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Pneumatikakis, A., Constantinides, A.G., Deliyannis, T. et al. Stabilization of third-order, single-stage Sigma-Delta modulators. Circuits Systems and Signal Process 18, 149–168 (1999). https://doi.org/10.1007/BF01206680

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  • DOI: https://doi.org/10.1007/BF01206680

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