Steering matrix derivation

1. A method comprising:

obtaining first beamforming feedback from a station based on first sounding signals from a first set of antennas selected from multiple antennas of an access point;

obtaining second beamforming feedback from the station based on second sounding signals from a second set of antennas selected from the multiple antennas of the access point;

using the first beamforming feedback and the second beamforming feedback, determining correlational relationships between pairs of the multiple antennas of the access point, the determining comprising:

obtaining beamforming feedback, including the first and second beamforming feedback, until feedback is obtained for at least each potential pairing of antennas of the multiple antennas;

deriving first portions of a correlational matrix corresponding to relationships between antennas in the first set of antennas; and

deriving second portions of the correlational matrix corresponding to relationships between antennas in the second set of antennas; and

deriving a beamforming steering matrix from the correlational relationships.

2. The method of claim 1 , further comprising:

transmitting the first sounding signals and the second sounding signals from the access point; and

transmitting data packets to the station, the data packets beamformed according to the beamforming steering matrix.

3. The method of claim 2 , wherein the first sounding signals and the second sounding signals are transmitted in parallel and with different tones.

4. The method of claim 3 , wherein the correlational relationships between pairs of the multiple antennas are adjusted based on the different tones of the first sounding signals and the second sounding signals.

5. The method of claim 2 , wherein the first sounding signals and the second sounding signals are transmitted at different times and with a same tone.

6. The method of claim 1 , further comprising accounting for redundancy in the correlational matrix based on overlap between pairs of antennas in the first set of antennas and the second set of antennas such that after accounting for the redundancy, the correlational matrix includes a single value for each of the pairs of antennas.

7. The method of claim 1 , wherein deriving the beamforming steering matrix comprises:

determining eigenvectors of the correlational matrix; and

discarding lowest value eigenvectors until dimensions of the beamforming steering matrix correspond to transmission capabilities of the station.

8. The method of claim 1 , wherein deriving the steering matrix is independent of phase rotations between the first beamforming feedback and the second beamforming feedback.

9. A wireless access point including a plurality of antennas, comprising:

one or more processors; and

one or more non-transitory computer-readable media containing instructions that, when executed by the one or more processors, are configured to cause the wireless access point to perform operations, the operations comprising:

obtain first beamforming feedback from a station based on first sounding signals from a first set of antennas selected from the plurality of antennas;

obtain second beamforming feedback from the station based on second sounding signals from a second set of antennas selected from the plurality of antennas;

determine correlational relationships between pairs of the plurality of antennas based on the first beamforming feedback and the second beamforming feedback, the determining comprising:

obtain beamforming feedback, including the first and second beamforming feedback, until feedback is obtained for at least each potential pairing of antennas of the plurality of antennas;

derive first portions of a correlational matrix corresponding to relationships between antennas in the first set of antennas; and

derive second portions of the correlational matrix corresponding to relationships between antennas in the second set of antennas;

derive a beamforming steering matrix from the correlational relationships; and

send a transmission to the station, the transmission beamformed according to the beamforming steering matrix.

10. The wireless access point of claim 9 wherein the operations further comprise transmit the first sounding signals and the second sounding signals.

11. The wireless access point of claim 10 , wherein the first sounding signals and the second sounding signals are transmitted in parallel and with different tones.

12. The wireless access point of claim 11 , wherein the correlational relationships between pairs of the plurality of antennas are adjusted based on the different tones of the first sounding signals and the second sounding signals.

13. The wireless access point of claim 10 , wherein the first sounding signals and the second sounding signals are transmitted at different times and with a same tone.

14. The wireless access point of claim 11 , wherein the operations further comprise account for redundancy in the correlational matrix based on a first pair of antennas being in the first set of antennas and the second set of antennas, such that after accounting for the redundancy, the correlational matrix includes a single value for the first pair of antennas.

15. The wireless access point of claim 11 , wherein the operation of deriving the beamforming steering matrix includes the operations:

determine eigenvectors of the correlational matrix; and

select a number of eigenvectors of the correlational matrix corresponding to transmission capabilities of the station.

16. One or more non-transitory computer-readable media containing instructions that, when executed by one or more processors, are configured to cause a system to perform operations, the operations comprising:

obtain first beamforming feedback from a station based on first sounding signals sent from a first set of antennas selected from a plurality of antennas of an access point;

obtain second beamforming feedback from the station based on second sounding signals sent from a second set of antennas selected from the plurality of antennas;

determine correlational relationships between pairs of the plurality of antennas based on the first beamforming feedback and the second beamforming feedback, the determining comprising:

obtain beamforming feedback, including the first and second beamforming feedback, until feedback is obtained for at least each potential pairing of antennas of the plurality of antennas;

derive first portions of a correlational matrix corresponding to relationships between antennas in the first set of antennas; and

derive second portions of the correlational matrix corresponding to relationships between antennas in the second set of antennas; and

derive a beamforming steering matrix from the correlational relationships.

17. The non-transitory computer-readable media of claim 16 , wherein the operations further comprise account for redundancy in the correlational matrix based on a first pair of antennas being in the first set of antennas and the second set of antennas, such that after accounting for the redundancy, the correlational matrix includes a single value for the first pair of antennas.