A method and apparatus for automatic reduction of noise in video signals transmitted over conductors is presented. The present invention provides an adjustable amount of noise filtering matched to the amount of gain provided by an adjustable gain amplifier to a received video signal. One or more stages of a multi-stage discrete gain amplifier is provided with a corresponding noise filter circuit. The filter circuit is matched to the frequency response of and the amount of gain provided by the discrete gain amplifier stage. When the amplifier stage is applied to the received signal, the corresponding noise filter for that stage is invoked as well. In that manner, the amount of noise filtering applied to a video signal automatically varies with the amount of amplification provided to that signal.