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

A user equipment, comprising:

• an antenna for a wireless communication with a transmitter;
• and
• a signal processor to receive and process a radio signal received at the antenna via a radio channel, the radio signal comprising information relating to a layout of a 3D-antenna array;
• wherein the user equipment is configured to construct a codebook table comprising a plurality of sets of beamforming weights for a plurality of directions using the information relating to a layout of the 3D-antenna array;
• wherein the user equipment is configured for constructing the codebook table to comprise a codebook matrix comprising array steering vectors for a precoder connected to a 3D-antenna array, each steering vector indicating a set of beamforming weights to be applied to a 3D-antenna array to form one or more transmit/receive beams with the 3D-antenna array, the beams pointing in directions of interest, wherein the user equipment is to:
• select the steering vectors for the directions of interest by sampling a response vector function of the 3D-antenna array at a plurality of values of azimuth and elevation angles comprised by the exponents of the complex exponentials of the response vector function;
• or
• select the steering vectors for directions of interest by sampling the response vector function of the 3D-antenna array at a plurality of values of trigonometric functions of the azimuth and elevation angles comprised by the exponents of the complex exponentials in the response vector function.