Driving a display of an input-display device includes generating, during a first display frame, a first touch sensing waveform to be applied to a touch screen of the display, and generating, during a second display frame, a second touch sensing waveform to be applied to the touch screen. The first touch sensing waveform generates on the display a first touch-to-display noise pattern of touch-to-display noise artifacts. The second touch sensing waveform generates on the display a second touch-to-display noise pattern of touch-to-display noise artifacts. The second touch-to-display noise pattern mitigates the first touch-to-display noise pattern.