A filter device includes a vertical NR process portion, a vertical resolution conversion portion and a vertical NR process decision portion. The vertical NR process portion receives a horizontal NR processed signal and produces an NR processed signal. The vertical resolution conversion portion includes a plurality of resolution conversion filters and uses the NR processed signal to perform a vertical resolution conversion. The vertical NR process decision portion decides whether or not the vertical NR process portion should perform the vertical NR process on the horizontal NR processed signal in accordance with a resolution conversion filter selection signal for selecting one of plurality of resolution conversion filters for the vertical resolution conversion portion.