Method and system for transmitter beamforming

1. A method comprising:

observing a predetermined number of spatial signatures for a communications channel between a base station and a mobile terminal during a predetermined time period;

calculating a norm of errors between neighboring pairs of the observed spatial signatures;

generating at the base station one or more test spatial signatures from a previously observed spatial signature that form a vector space about the previously observed spatial signature based on statistical analysis of the observed predetermined number of spatial signatures, wherein generating the one or more test spatial signatures is based on the norm of errors, and such that the vector space is wider than a vector space associated with the observed predetermined number of spatial signatures; and

deriving beamforming weights based on the one or more test spatial signatures for beamforming a transmission to the mobile terminal via an antenna subsystem of the base station, wherein the beamforming weights are configured to generate a wider de-focused beam relative to a beam generated from the observed predetermined number of spatial signatures.

2. The method of claim 1 , wherein observing comprises observing the predetermined number of spatial signatures at the mobile terminal from downlink transmissions received at the mobile terminal from the base station, and further comprising sending data representing the predetermined number of spatial signatures from the mobile terminal to the base station.

3. The method of claim 1 , wherein observing comprises observing the predetermined number of spatial signatures at the base station from uplink transmissions received at the base station from the mobile terminal.

4. The method of claim 1 , wherein deriving comprises deriving the beamforming weights such that the beamforming weights satisfy the condition of when a square of a determinant of a Hermitian transpose matrix of the beamforming weights is individually multiplied by each of the test spatial signatures the result is greater than a predetermined beamforming performance factor.

5. The method of claim 1 , wherein deriving comprises deriving the beamforming weights to maximize a summation of a square of a determinant of a Hermitian transpose matrix of the beamforming weights individually multiplied by each of the test spatial signatures.

6. The method of claim 5 , further comprising multiplying each square by an individual weighting factor prior to adding the square to the summation.

7. The method of claim 1 , wherein generating comprises generating the test spatial signatures such that a Euclidian distance from any of the test spatial signatures to a most recently observed spatial signature is substantially equal to the calculated norm of errors.

8. The method of claim 1 , wherein generating comprises generating the test spatial signatures such that the test spatial signatures are evenly distributed in a vector space thereof in order to widen a beam when the beamforming weights are derived from test spatial signatures.

9. The method of claim 6 , and further comprising adjusting each individual weighting factor based on an accuracy of a corresponding test spatial signature.

10. An apparatus comprising:

a plurality of antennas;

a beamformer unit configured to combine signals of various phases and magnitudes for transmission via the plurality of antennas such that the signals are coherently combined at a mobile terminal and to perform an inverse operation for signals received from the mobile terminal;

a receiver configured to:

observe a first predetermined number of spatial signatures for uplink transmissions received via the plurality of antennas during a predetermined time period; and

recover a second predetermined number of spatial signatures for downlink transmissions observed at the mobile terminal during the predetermined time period when the observations are made at a mobile terminal and are transmitted from the mobile terminal to the base station;

a transmitter configured to:

calculate a norm of errors between neighboring pairs of the observed predetermined number of spatial signatures;

generate one or more test spatial signatures from a previously observed spatial signature that form a vector space about the previously observed spatial signature based on statistical analysis of the observed first and/or second predetermined number of spatial signatures in order to generate the vector space that is wider than a vector space associated with the observed predetermined number of spatial signatures, wherein the one or more test spatial signatures are generated based on the norm of errors; and

derive beamforming weights based on the generated test spatial signatures, wherein the beamforming weights are configured to generate a wider de-focused beam relative to a beam generated from the observed predetermined number of spatial signatures.

11. The apparatus of claim 10 , wherein the transmitter is configured to generate the test spatial signatures such that a Euclidian distance from any of the test spatial signatures to a most recently observed spatial signature is substantially equal to the calculated norm of errors.

12. The apparatus of claim 10 , wherein the transmitter is configured to derive the beamforming weights such that the beamforming weights satisfy the condition of when a square of a determinant of a Hermitian transpose matrix of the beamforming weights is individually multiplied by each of the test spatial signatures the result is greater than a predetermined beamforming performance factor.

13. The apparatus of claim 10 , wherein the transmitter is configured to derive the beamforming weights to maximize a summation of a square of a determinant of a Hermitian transpose matrix of the beamforming weights individually multiplied by each of the test spatial signatures.

14. The apparatus of claim 13 , wherein the transmitter is configured to derive the beamforming weights to maximize a summation of a square of a determinant of a Hermitian transpose matrix of the beamforming weights individually multiplied by each of the test spatial signatures.

15. The apparatus of claim 14 , wherein the transmitter is further configured to multiply each square by an individual weighting factor prior to adding the square to the summation.

16. The apparatus of claim 10 , wherein the transmitter is configured to generate the test spatial signatures such that a Euclidian distance from any of the test spatial signatures to a most recently observed spatial signature is substantially equal to the calculated norm of errors.

17. The apparatus of claim 10 , wherein the transmitter is configured to generate the test spatial signatures such that the test spatial signatures are evenly distributed in a vector space thereof in order to widen a beam when the beamforming weights are derived from test spatial signatures.