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Stability Analysis of Incremental ΣΔ Modulators using Mixed-Logic Dynamical Systems and Optimal Control Theory

, and . 2020 IEEE International Symposium on Circuits and Systems (ISCAS), page 1-5. (October 2020)
DOI: 10.1109/ISCAS45731.2020.9180952

Abstract

In this paper, we present a mixed-logic dynamical (MLD) system model that allows for an iron-clad prediction of the stability of Incremental Sigma Delta (I-ΣΔ) modulators. The model extends the mixed logic dynamical description of freely-running Sigma-Delta (ΣΔ) modulators with single-bit quantizers presented in 1 to the multibit case. Moreover, we use the derived model to compare I-ΣΔs with different loop filter orders and different number of quantizer levels concerning their stability.

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