A device includes a memory storing a persistence bit for each of a plurality of pixels of a display device, the persistence bit having a first value when a corresponding pixel should be illuminated for displaying a persistent image, and having a second value when the corresponding pixel should not be illuminated for the persistent image; a pseudorandom pixel value generator which during each video frame receives a seed value and generates pseudorandom pixel values for the plurality of pixels, each pseudorandom pixel value being not greater than a specified variable persistence value; a frame value generator outputting a frame value for each video frame; and a match detector which, during each video frame, compares the frame value to the pseudorandom pixel values for the plurality of pixels, and for each pixel where the comparison indicates a match, makes the persistence bit for the corresponding pixel have the second value.