A communication method of a terminal in a mobile communication system, the method comprising: receiving through higher layer signaling, from a base station, first information indicating whether a double codebook for multiple-in-multiple-out, MIMO, transmission with four transmit antenna ports is used for deriving channel state information, CSI, and second information indicating a physical uplink control channel feedback mode for a periodic CSI reporting; identifying a codebook for the periodic CSI reporting based on the first information and the second information; and transmitting, to the base station, information on the CSI based on the identified codebook, the information on the CSI identified based on at least one precoding matrix indicator, PMI, and a rank indicator, RI, wherein at least one codebook index for the CSI is identified based on the identified codebook, the RI, and the at least one PMI, wherein in case the first information indicates that a double codebook for MIMO transmission with four transmit antenna ports is used for deriving the CSI and the second information indicates that the physical uplink control channel feedback mode is set to submode 2 of feedback mode 1-1, the information on the CSI includes 3 bits for a first PMI and 1 bits for a second PMI, and the first PMI indicates a first codebook index value among a predetermined set of indices {0, 2, 4, 6, 9, 11, 13, 15} or a predetermined set of indices {1, 3, 5, 7, 8, 10, 12, 14}, and wherein the predetermined set of indices {0, 2, 4, 6, 9, 11, 13, 15} or the predetermined set of indices {1, 3, 5, 7, 8, 10, 12, 14} is obtained based on a subsampling of a set of indices (n) ∈ {0, 1, 2, 3, 4,... 15} representing a first precoding matrix W 1 (n) = X n 0 0 X n, where X n = 1 1 1 1 e j 2 π 32 n e j 2 π 32 n + 8 e j 2 π 32 n + 16 e j 2 π 32 n + 24. receiving through higher layer signaling, from a base station, first information indicating whether a double codebook for multiple-in-multiple-out, MIMO, transmission with four transmit antenna ports is used for deriving channel state information, CSI, and second information indicating a physical uplink control channel feedback mode for a periodic CSI reporting; identifying a codebook for the periodic CSI reporting based on the first information and the second information; and transmitting, to the base station, information on the CSI based on the identified codebook, the information on the CSI identified based on at least one precoding matrix indicator, PMI, and a rank indicator, RI, wherein at least one codebook index for the CSI is identified based on the identified codebook, the RI, and the at least one PMI, wherein in case the first information indicates that a double codebook for MIMO transmission with four transmit antenna ports is used for deriving the CSI and the second information indicates that the physical uplink control channel feedback mode is set to submode 2 of feedback mode 1-1, the information on the CSI includes 3 bits for a first PMI and 1 bits for a second PMI, and the first PMI indicates a first codebook index value among a predetermined set of indices {0, 2, 4, 6, 9, 11, 13, 15} or a predetermined set of indices {1, 3, 5, 7, 8, 10, 12, 14}, and wherein the predetermined set of indices {0, 2, 4, 6, 9, 11, 13, 15} or the predetermined set of indices {1, 3, 5, 7, 8, 10, 12, 14} is obtained based on a subsampling of a set of indices (n) ∈ {0, 1, 2, 3, 4,... 15} representing a first precoding matrix W 1 (n) = X n 0 0 X n, where X n = 1 1 1 1 e j 2 π 32 n e j 2 π 32 n + 8 e j 2 π 32 n + 16 e j 2 π 32 n + 24.