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Limit cycle behavior in the double-loop bandpass Σ-Δ A/D converter

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2 Author(s)
Mann, S.I. ; Dept. of Electr. & Electron. Eng., Canterbury Univ., Christchurch, New Zealand ; Taylor, D.P.

Hein and Zakhor analyzed the limit-cycle behavior of the low-pass double-loop converter. This brief demonstrates that the limit cycles in a bandpass Σ-Δ double-loop converter are identical to the low-pass case. It is shown that the double-loop converter can have two independent limit cycles occurring simultaneously. Simulations confirm that the bandpass converter state variables can be designed to stay within designed bounds, as in the low-pass (baseband) case, Hence, stability is improved as the likelihood of stages saturating and clipping is significantly reduced.

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Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on  (Volume:46 ,  Issue: 8 )