Transmitter, receiver, wireless communication network and methods for operating the same

A transmitter comprises a 3-dimensional antenna array comprising a plurality of antenna elements, each antenna element having a radiation pattern, wherein the radiation patterns overlap with respect to each other. The plurality of antenna elements is adapted for a coherent wireless communication in a wireless communication system. The 3D-antenna array comprises a first and a second and a third antenna element spanning a 2- dimensional antenna plane, and comprising a fourth antenna element being arranged outside the 2-dimensional antenna plane; or the 3D-antenna array comprises a first antenna element being configured to direct a transmitted signal into a first direction, and comprising a second antenna element being configured to direct a transmitted signal into a second direction and not into the first direction. The transmitter further comprises a precoder connected through the 3D-antenna array, to form one or more transmit beams and/or receive beams with the 3D-antenna array. The beams point in directions of interest. The precoder comprises a precoder matrix that is based on a beam-set matrix and a selection matrix and a power allocation matrix comprising power values that indicate a power to be allocated to the antenna elements of the 3D-antenna array. The power allocation matrix is adapted to selectively adjust the transmit power of individual antenna elements.