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A time-split method for simulating dynamic false contours (DFC) of motion images with random speed in color alternate-current plasma display panel (ACPDP) is developed. Splitting motion image with the certain speed according to the order of time into many pictures, Receiving the grey level distribute matrix that the all divided up pictures according to the primitive picture, and then the picture matrix of the vision is received according to integral characteristics of human eyes. And the dynamic false contours simulation calculation formula corresponding to sub field weight distribution is received finally by working mechanism of ACPDP. The simulation result shows that by simulation of motion images with random speed using the time-split method, finding the mechanism of DFC and the important relation between the sub-field code and DFC. And the simulation results provide a theoretical base for evaluating and promoting the display quality of motion images in ACPDP.