Behavioral model of a continuous current integrator with time discrete feedback and sampling

This paper proposes an analytical model for current integrator with a continuous current input signal, a continuous voltage output signal, with time discrete feedback and sampling. Such an integrator is suited as first integrator within a delta sigma (ΔΣ) modulator performing analog to digital conversion of a current input signal. Capacitive or current feedback can be used for keeping the integrator within the range of operation. The model considers slew-rate and bandwidth limited settling, parasitic capacitances, and non-linear effects. Simulink is used to explore the circuit design space for the first integrator of a 4th order hybrid incremental (I-ΔΣ) modulator.