A sensor signal processing circuit including a delta-sigma analog-to-digital converter (ADC) and a control circuit is disclosed. The circuit is configured to adaptively activate one or more segments of current elements for sequential sampling periods based on a digital signal input to a DAC, wherein less than N current elements are allocated to each segment, each current element in an active segment is enabled and either contributes to a feedback signal of the DAC or does not contribute to the feedback signal, and current elements not in an active segment are disabled. The circuit can be integrated with an acoustic or other sensor as part of a sensor assembly.