Systems and methods for providing forced full orthogonality for beams in a mu/mimo radio system

A radio system, comprising:

• an antenna system comprising:
• a plurality of antenna elements;
• and
• a plurality of transmit branches coupled to the plurality of antenna elements, respectively, and/or a plurality of receive branches coupled to the plurality of antenna elements, respectively;
• and
• a processing unit associated with the antenna system the processing unit being adapted to:
• determine an initial set of null locations for a particular transmit or receive beam based on an initial set of beam weighting factors for the particular transmit or receive beam;
• change one or more null locations in the initial set of null locations for the particular transmit or receive beam based on one or more other transmit or receive beams to be used simultaneously with the particular transmit or receive beam, thereby providing a new set of null locations for the particular transmit or receive beam, wherein, in order to change the one or more null locations in the initial set of null locations to thereby provide the new set of null locations, the processing unit is further adapted to, for each other transmit or receive beam of the one or more other transmit or receive beams to be used simultaneously with the particular transmit or receive beam:
• find an initial null location from the initial set of null locations that is closest to a beam direction of the other transmit or receive beam;
• change the initial null location to a new null location that is at the beam direction of the other transmit or receive beam;
• and
• change an additional initial null location from the initial set of null locations that is near the initial null location to a value that is in accordance with a filtering effect;
• compute a new set of beam weighting factors for the particular transmit or receive beam based on the new set of null locations for the particular transmit or receive beam;
• and
• utilize the new set of beam weighting factors to transmit or receive, via at least a subset of the plurality of antenna elements, on the particular transmit or receive beam.