A sigma-delta modulator is provided for generating a digital output signal. The sigma-delta modulator includes a multi-stage loop filter, a quantizer, and a digital-to-analog converter. The multi-stage loop filter receives an analog input signal and generates an integrated output signal according to the analog input signal. Each stage of the multi-stage loop filter includes a feedback network. The quantizer receives the integrated output signal and quantizes the integrated output signal to generate the digital output signal. The digital-to-analog converter receives the digital output signal and converts the digital output signal to a compensation signal. The digital-to-analog converter provides the compensation signal to a plurality of internal nodes in the feedback network of the last stage of the multi-stage loop filter.