Provided are a wireless communication apparatus and a channel estimation methods of the wireless communication apparatus. The channel estimation methods includes receiving a first sub-frame and a second sub-frame, the first sub-frame including a plurality of first reference signals pre-coded based on a first pre-coding matrix and the second sub-frame including a plurality of second reference signals pre-coded based on a second pre-coding matrix; determining whether the first pre-coding matrix and the second pre-coding matrix are the same, based on a channel variation in the time domain; and performing, in response to determining that the first pre-coding matrix and the second pre-coding matrix are the same, channel estimation with respect to a resource element included in the second sub-frame based on at least of the plurality of first reference signals and at least one of the plurality of second reference signals.