1. A system comprising: a substrate; a resistive touch sensor arranged across the substrate and comprising an array of sense electrode and drive electrode pairs; a force-sensing layer arranged over the resistive touch sensor opposite the substrate and comprising a force-sensitive material exhibiting variations in local bulk resistance responsive to local variations in applied force; a first shield electrode coupled to the force-sensing layer, extending across a first region of the force-sensing layer, and electrically coupled to the substrate; and a controller coupled to the substrate and configured to: during a first resistance scan cycle in a first sampling period: drive the first shield electrode to a virtual reference potential; and read resistance values across sense electrode and drive electrode pairs in the resistive touch sensor; and during a first processing cycle succeeding the first resistance scan cycle within the first sampling period: release the first shield electrode from the virtual reference potential; and transform resistance values read from sense electrode and drive electrode pairs in the force-sensing layer into a force touch image, the force touch image representing locations and force magnitudes of objects applied over the force-sensing layer.