Performance and Stability Characterization of a 3rd Order Continuous-Time Delta-Sigma Modulator with Active Time-Constant Tuning

We present the results of an extensive characterization of the performance and stability of a third-order continuous-time delta-sigma modulator with active coefficient error compensation. Using our previously published coefficient tuning technique, process variation induced R-C time-constant (TC) errors in the forward signal path can be compensated indirectly using continuously tunable DACs in the feedback path. To validate our technique experimentally with a range of real TC variations, we designed a modulator with discretely configurable integration capacitor arrays in a 0:35-mu m CMOS process. We configured the capacitors of the fabricated device for a range of total TC variations from to +19:3% and measured the signal-to-noise ratio (SNR) as a function of the input amplitude before and after compensating the variations electrically using the feedback DACs. The results show that our tuning technique is capable of restoring the desired nominal modulator performance over the entire parameter variation range, including the system's nominal maximum stable amplitude (MSA).