Circuits, methods, and apparatus that provide sampling networks that avoid undesired transient voltages. One example provides a sampling network that includes a switch such that charge is transferred to an integrator in two separate steps instead of one. This switch connects the first side of a capacitor to an intermediate voltage after it is connected to an input voltage and before it is connected to a reference voltage, where the reference voltage is the output of a one-bit digital-to-analog converter. This intermediate switching allows charge to be transferred from a sampling capacitor to an integrating capacitor in two steps, thus avoiding undesirable transient voltages.