A continuous-time incremental analog-to-digital converter (100, 300), comprising: a delta-sigma modulator, performing delta-sigma modulation on an analog input signal to output a quantized signal; and a digital filter, receiving the quantized signal to generate a digital representation of the analog input signal, wherein: the delta-sigma modulator includes a quantizer, a digital-to-analog converter, and a loop filter; the quantizer outputs the quantized signal, wherein the quantizer is a multi-bit quantizer; the digital-to-analog converter is coupled to an output terminal of the quantizer and generates an estimate of the quantized signal; the loop filter operates according to a difference between the analog input signal and the estimate, and an output terminal (124, INT2) of the loop filter is coupled to an input terminal of the quantizer; and the loop filter has a preset circuit that presets the output terminal (124, INT2) of the loop filter during a reset phase of the incremental analog-to-digital converter, wherein the loop filter comprises a first analog integrator; the first analog integrator has a first operational amplifier and a first feedback capacitor coupled between an input terminal and an output terminal of the first operational amplifier; the preset circuit comprises a first switch and a first preset element connected in series between the input terminal and the output terminal of the first operational amplifier, the first preset element being a resistor; the first switch is closed during the reset phase of the incremental analog-to-digital converter to discharge the first feedback capacitor via the resistor to a non-zero preset value, and thereby preset the output terminal (124, INT2) of the loop filter to a non-zero preset value; and the quantizer is reset during the reset phase of the incremental analog-to-digital converter. a delta-sigma modulator, performing delta-sigma modulation on an analog input signal to output a quantized signal; and a digital filter, receiving the quantized signal to generate a digital representation of the analog input signal, wherein: the delta-sigma modulator includes a quantizer, a digital-to-analog converter, and a loop filter; the quantizer outputs the quantized signal, wherein the quantizer is a multi-bit quantizer; the digital-to-analog converter is coupled to an output terminal of the quantizer and generates an estimate of the quantized signal; the loop filter operates according to a difference between the analog input signal and the estimate, and an output terminal (124, INT2) of the loop filter is coupled to an input terminal of the quantizer; and the loop filter has a preset circuit that presets the output terminal (124, INT2) of the loop filter during a reset phase of the incremental analog-to-digital converter, wherein the loop filter comprises a first analog integrator; the first analog integrator has a first operational amplifier and a first feedback capacitor coupled between an input terminal and an output terminal of the first operational amplifier; the preset circuit comprises a first switch and a first preset element connected in series between the input terminal and the output terminal of the first operational amplifier, the first preset element being a resistor; the first switch is closed during the reset phase of the incremental analog-to-digital converter to discharge the first feedback capacitor via the resistor to a non-zero preset value, and thereby preset the output terminal (124, INT2) of the loop filter to a non-zero preset value; and the quantizer is reset during the reset phase of the incremental analog-to-digital converter. the delta-sigma modulator includes a quantizer, a digital-to-analog converter, and a loop filter; the quantizer outputs the quantized signal, wherein the quantizer is a multi-bit quantizer; the digital-to-analog converter is coupled to an output terminal of the quantizer and generates an estimate of the quantized signal; the loop filter operates according to a difference between the analog input signal and the estimate, and an output terminal (124, INT2) of the loop filter is coupled to an input terminal of the quantizer; and the loop filter has a preset circuit that presets the output terminal (124, INT2) of the loop filter during a reset phase of the incremental analog-to-digital converter, wherein the loop filter comprises a first analog integrator; the first analog integrator has a first operational amplifier and a first feedback capacitor coupled between an input terminal and an output terminal of the first operational amplifier; the preset circuit comprises a first switch and a first preset element connected in series between the input terminal and the output terminal of the first operational amplifier, the first preset element being a resistor; the first switch is closed during the reset phase of the incremental analog-to-digital converter to discharge the first feedback capacitor via the resistor to a non-zero preset value, and thereby preset the output terminal (124, INT2) of the loop filter to a non-zero preset value; and the quantizer is reset during the reset phase of the incremental analog-to-digital converter.