1. A method for reducing power consumption of a display, the method comprising: calculating an average linear amplitude for a frame of pixels to be displayed on the display; calculating a first scale factor proportional to the average linear amplitude; dimming a backlighting of the display by the first scale factor; calculating a second scale factor as a function of the average linear amplitude as well as a factor k that accounts for a reduction in brightness of the display due to clamping; and increasing values of the frame of pixels by the second scale factor.