An apparatus for reading out a modulated time-continuous sensor output signal includes a loop filter, a sample-quantizer and a feedback circuit. The loop filter filters the sensor output signal to provide a filtered sensor output signal, and amplifies frequency proportions present in a frequency range. The sample-quantizer samples and quantizes the filtered sensor output signal to provide a time-discrete, quantized sensor output signal. The feedback circuit feeds a feedback signal based on the time-discrete, quantized sensor output signal back to the loop filter and provides a readout signal.