A delta-sigma modulator includes: a loop filter for processing an analog input signal and a feedback signal to generate a filtered signal; a noise coupler operable to generate a noise coupled signal based on the filtered signal and the feedback signal; a quantizer for quantizing the noise coupled signal to generate a digital output signal; and a digital-to-analog converter converting the digital output signal to the feedback signal. The noise coupler includes an amplifier that has an inverting input terminal receiving a difference between the filtered signal and the feedback signal, and a non-inverting output terminal outputting the noise coupled signal, and a capacitor coupled between the inverting input terminal and the non-inverting output terminal of the amplifier.