A filter device (1) includes a main filter unit (10), such as a 2-D comb filter, implemented in hardware, with an input for receiving a video signal (.PHI.) and an output for providing a filtered video signal (.PHI.1), a controllable temporal noise reduction unit (20) receiving the filtered video signal (.PHI.1) from the main filter unit (10), to perform a noise reduction operation on the filtered video signal (.PHI.1), and a unit (14, 30, 40) for detecting a very low amount of motion in a video image of the filtered video signal (.PHI.1) and for controlling the controllable temporal noise reduction unit (20) on the basis of the detected very low amount of motion, so as to enable the filter device (1) to reduce cross-luminance and/or cross-color as well when only a very low amount of motion is present in the signal.