In accordance with embodiments of the present disclosure, a continuous-time incremental analog-to-digital converter (ADC) may include a plurality of resettable integrators and a feed-in gain element. Each integrator may be configured to convert a sum of signals received at its input to a signal indicative of an integral over time of the sum of signals. The plurality of integrators may include a first-stage integrator configured to receive at its input the baseband signal and a final-stage integrator configured to produce at its output a final-stage analog signal. The plurality of integrators may be arranged in a cascade configuration such that an output of each of the plurality of integrators other than the final-stage integrator is coupled to the input of a subsequent integrator. The feed-in gain element may be coupled between the input of the first-stage integrator and the input of another integrator of the plurality of integrators.