Modeling opamp-induced harmonic distortion for switched-capacitor ΣΔ modulator design

This communication reports a new modeling of opamp-induced harmonic distortion in SC ΣΔ modulators, which is aimed at the optimum design of this kind of circuit for high-performance applications. We analyze incomplete transfer of charge in a SC integrator and use power expansion and nonlinear fitting to obtain analytical models to represent harmonic distortion as function of the opamp finite gain-bandwidth (GB), slew-rate (SR) and nonlinear DC gain. Calculated models apply for all modulator architectures where harmonic distortion is dominated by the first integrator in the chain. We show that results provided by the new analytical models fit well to that obtained by simulation in time domain and have accuracy levels much larger than that provided by previously reported modeling approaches