An integrator circuit (110) is provided including an amplifier element (170) configured to receive an input signal at an input node, amplify the input signal, and provide an amplified input signal at an output node; a feedback capacitor element (175) connected between the output node and the input node; and a current matching circuit (120) connected to the output node, and configured to sense an output voltage of the amplifier element and to provide a supplemental current (I.sub.M) to the input node that is less than or equal to a feedback current (I.sub.F) charging the feedback capacitor element. This supplemental current is substantially equal and opposite in polarity to a feedback current when the output voltage satisfies a set criterion.