A wireless receiving apparatus includes a plurality of wireless receiving modules that receive a plurality of sub-streams constituting a video frame from a wireless transmitting apparatus and a data processing module that determine whether an error occurs in each of the plurality of sub-streams, in response to determining that an error does not occur in any of the plurality of sub-streams, merges the plurality of sub-streams to generate the video frame, transmits the video frame to a display electrically connected to the wireless receiving apparatus, and in response to determining that an error occurs in at least one of the plurality of sub-streams, transmits an immediately-preceding video frame to the display.