A circuit includes a cross-talk compensation component including a power profile reconstruction component for reconstructing the power profile of a digital microphone coupled to a microelectromechanical (MEMS) device, wherein the power profile represents power consumption of the digital microphone over time between at least two operational modes of the digital microphone, and a reconstruction filter for modeling thermal and/or acoustic properties of the digital microphone; and a subtractor having a first input for receiving a signal from the digital microphone, a second input coupled to the cross-talk compensation component, and an output for providing a digital output signal.