A method for transmitting channel state information from an user equipment in a wireless communication system is disclosed. The user equipment transmits a spatial channel matrix or a spatial channel covariance matrix irrespective of a feedback type. The user equipment is able to additionally transmit noise plus interference variance information of a whole bandwidth used for the channel state information. In this case, the user equipment is able to transmit normalized spatial channel matrix or spatial channel covariance matrix and normalized noise plus interference variance information for accurate and efficient transmission of the channel state information. The user equipment receives an allocation of an uplink resource from a base station and is then able to map the spatial channel matrix or the spatial channel covariance matrix to the allocated resource according to a specific pattern.