Multi-beam codebooks with further optimized overhead

A user equipment configured to transmit an indication of a precoder to a base station, the method comprising:

• processing circuitry configured to:
• determine from a codebook an indication of a precoder comprising a first beam phase parameter and a second beam phase parameter corresponding to a first beam and second beam, respectively;
• the first beam phase parameter taking on one of a first integer number of phase values;
• and
• the second beam phase parameter taking on one of a second integer number of phase values, the second beam having a lesser power than the first beam and the second integer number of phase values being less than the first integer number of phase values, each of the first and second beam phase parameters corresponding to a plurality of frequency subbands;
• and
• a transceiver configured to transmit the determined indication of the precoder to a base station.

A base station for receiving an indication of a precoder from a user equipment, the method comprising:

• processing circuitry configured to:
• receive an indication of a precoder comprising a first beam phase parameter and a second beam phase parameter corresponding to a first beam and second beam, respectively;
• the first beam phase parameter taking on one of a first integer number of phase values;
• and
• the second beam phase parameter taking on one of a second integer number of phase values, the second beam having a lesser power than the first beam and the second integer number of phase values being less than the first integer number of phase values, each of the first and second beam phase parameters corresponding to a plurality of frequency subbands;
• determine a precoder based on the received indication of the precoder;
• and
• generate the first and second beams based on the precoder.