Provided is a communication system for a multi-cell cooperative communication. A serving base station and at least one neighboring base station may communicate with at least one terminal through mutual cooperation. Each of the serving base station and the at least one neighboring base station may shift a phase of at least one element among elements included in a precoding matrix, using a phase shift matrix, and precode at least one data symbol. A terminal may feed back preferred phase shift matrix information to the serving base station, so that the serving base station and the at least one neighboring base station may adaptively determine a phase shift matrix. The terminal may calculate the phase shift matrix with small calculation amounts. The serving base station, the at least one neighboring base station, and the terminal may pre-store a plurality of candidate matrices with respect to the phase shift matrix.