Analysis of a Switched-Capacitor Second-Order Delta–Sigma Modulator Using Integrator Multiplexing

This brief investigates a switched-capacitor (SC) second-order delta-sigma modulator using integrator multiplexing with respect to component imperfections. The two integration operations, which are characteristic for a second-order system are accomplished by multiplexing two integration capacitors C
_U
and C
_V
onto a single operational amplifier. The two feedback loops are implemented utilizing two capacitors C
_A
and C
_B
, which are charged and discharged periodically. Crosstalk between the two integration capacitors C
_U
and C
_V
due to parasitic capacitances introduces additive white noise. However, the influence can easily be limited using standard SC technology. A mismatch between C
_A
and C
_B
introduces a dc-offset and a gain error, as derived quantitatively. As a consequence, the robustness to component imperfections, which is typical for second-order delta-sigma modulators, is maintained. It is shown that in principle, integrator multiplexing can be generalized for higher order delta-sigma modulators