Abstract: An energy efficient transmission and optimization scheme was proposed for the link with multiple antennas. The channels were estimated by the receiver by using MMSE estimation with the trainings, and then were fed back to the estimated channels based on the codebook. Therefore, the transmitter transmitted data with beam forming by exploiting this feedback channel state information. To optimize the energy efficiency of the transmission, the statistics of the MMSE estimate, the estimation error, the quantized feedback value and feedback error were analyzed based on the statistical characteristic of channels. Subsequently, the statistics of energy efficiency was obtained and the optimization model of energy efficiency was also proposed, based on which the energy efficient training power and data power were given. Simulation results show that the proposed scheme can effectively improve the system energy efficiency in compared with the existing static power allocation scheme, and also can obtain the similar performance with the existing dynamic power allocation scheme in fast time varying channels but with very low complexity.