A white light-emitting microcavity light-emitting diode device, comprising a method for converting a red, green, and blue (RGB) input signal to a converted signal having RGB color signals and an additional saturated color signal, by calculating saturation of the additional saturated color in the RGB input signal to determine the proportion of the additional saturated color signal to the sum of the converted RGB color signals such that the proportion of the additional saturated color signal is constant or decreases as the saturation of the additional color in the RGB input signal increases.