Liquid crystal display

A liquid crystal display comprising:

• a backlight having a plurality of light sources, each of the light source being controllable respectively;
• a liquid crystal panel in front of the backlight to display a video in a display area;
• a luminance value calculator configured to calculate light source luminance values of the light sources based on an input video signal including signal values of a plurality of pixels;
• a luminance distribution calculator configured to calculate luminance distribution of light in illumination areas obtained by tentatively dividing the display area if the light sources emit light according to the light source luminance values;
• a representative value calculator configured to calculate, based on the input video signal, a representative luminance value in each of a plurality of divided areas obtained by tentatively dividing the display area;
• and
• a signal corrector configured to calculate a corrected video signal by correcting the input video signal according to a difference between a maximum value of the representative luminance values and an average value of the representative luminance values.