Antenna array codebook with beamforming coefficients adapted to an arbitrary antenna response of the antenna array

A method, comprising:

• receiving and processing, at a receiver comprising an antenna for a wireless communication with a transmitter, a radio signal received at the antenna via a radio channel;
• calculating, at the receiver, one or more characteristic matrices based on a model of a transmitter antenna array of the transmitter using
• (a) received position data of antenna elements of the transmitter antenna array and a preferred polarization of each antenna element, and/or
• (b) structural and/or geometrical data of the transmitter antenna array;
• and
• constructing a codebook at the receiver, the codebook comprising a plurality of sets of beamforming weights for a plurality of directions, the beamforming weights in the codebook being based on a first antenna array response matrix of the transmitter antenna array, and the transmitter selecting a set of beamforming weights from the codebook to form by the transmitter antenna array a transmit/receive beam pointing in a selected direction,
• wherein the codebook is constructed using a second antenna array response matrix and the one or more calculated characteristic matrices,
• wherein the first antenna array response matrix comprises, for a plurality of directions, first array response vectors of the transmitter antenna array, the second antenna array response matrix comprises, for one or more of the plurality of directions, second array response vectors of another antenna array, the other antenna array being different from the transmitter antenna array, and the one or more characteristic matrices describing one or more characteristics of the transmitter antenna array, and
• wherein the first antenna array response matrix is modeled using the second antenna array response matrix and the one or more characteristic matrices, each of the first array response vectors being a product of a characteristic matrix and corresponding second array response vectors.

A non-transitory digital storage medium having stored thereon a computer program for performing a method, the method comprising:

• receiving and processing, at a receiver comprising an antenna for a wireless communication with a transmitter, a radio signal received at the antenna via a radio channel;
• calculating, at the receiver, one or more characteristic matrices based on a model of a transmitter antenna array of the transmitter using
• (a) received position data of antenna elements of the transmitter antenna array and a preferred polarization of each antenna element, and/or
• (b) structural and/or geometrical data of the transmitter antenna array;
• and
• constructing a codebook at the receiver, the codebook comprising a plurality of sets of beamforming weights for a plurality of directions, the beamforming weights in the codebook being based on a first antenna array response matrix of the transmitter antenna array, and the transmitter selecting a set of beamforming weights from the codebook to form by the transmitter antenna array a transmit/receive beam pointing in a selected direction,
• wherein the codebook is constructed using a second antenna array response matrix and the one or more calculated characteristic matrices,
• wherein the first antenna array response matrix comprises, for a plurality of directions, first array response vectors of the transmitter antenna array, the second antenna array response matrix comprises, for one or more of the plurality of directions, second array response vectors of another antenna array, the other antenna array being different from the transmitter antenna array, and the one or more characteristic matrices describing one or more characteristics of the transmitter antenna array, and
• wherein the first antenna array response matrix is modeled using the second antenna array response matrix and the one or more characteristic matrices, each of the first array response vectors being a product of a characteristic matrix and corresponding second array response vectors,
• when said computer program is run by a computer.