A video decoder removes noise caused by a luminance signal component when separating a chrominance signal from a composite video baseband signal. The video decoder includes a first signal generator generating a first signal, a second signal generator generating a second signal, a third signal generator differentiating the first and second signals and performing a predetermined operation on the differentiated signals to generate a third signal, an operating unit performing a predetermined operation on the third signal to output the chrominance signal, a fourth signal generator performing a predetermined operation on the first and second signals to generate a fourth signal having a value corresponding to the amplitude of the chrominance signal, and a noise removal unit correcting the chrominance signal in response to the third and fourth signals to remove luminance component noise included in the chrominance signal.