Component-based color video signals usually consist of one luminance (Y) and two chrominance or color-difference (U and V) components, which are obtained by multiplying the R, G and B components produced by the video camera by a 3 X 3 matrix. In order to compensate for the nonlinearity of the TV monitor on which the video signal will be displayed, the R, G, and B signals are usually first gamma-corrected before the matrix operation is applied. Due to this gamma correction, the Y component does not represent exactly the real luminance L of the recorded scene, and part of the real luminance information is carried by the U and V components. The introduction of errors into these chrominance components by, for example, video coding will therefore lead to perceivable errors in the luminance produced by the TV monitor on which the coded signal is eventually displayed. In this paper, we present a simple but effective method for avoiding this crosstalk of chrominance errors into the luminance. This method can be incorporated in most compression systems.