1. A method for filtering a video frame signal with a predetermined temporal cutoff frequency to achieve a temporal band limitation in an image coding apparatus having a filter and an encoder for eliminating redundancy in the filtered video frame signal in order to compress the video frame signal to a manageable size for the transmission thereof, wherein the video frame signal has one or more object moving in a high velocity, which comprises the steps of: (a) determining a motion vector which represents the movement of the moving object between a current video frame signal and its previous video frame signal; and (b) performing a filtering operation of the video frame signal in the spatial domain with a spatial cutoff frequency which changes adaptively with the determined motion vector in order to achieve the temporal band limitation, wherein the motion vector includes a velocity component and a direction component, and the spatial cutoff frequency f.sub.v is represented as follows: ##EQU7## wherein ft is the predetermined temporal cutoff frequency; and V is the velocity component.