Extended beamforming for satellite communication
In beamforming with an antenna for satellite communications, the antenna includes an array of radiating elements. The beamforming method includes: formulating a matrix based on responses from all elements of the antenna to each of a number of users of a first satellite; augmenting the matrix by adding responses from the elements of the antenna to other users served by a different satellite; from the augmented matrix, generating a beamforming matrix; and with the beamforming matrix, beamforming a beam from the antenna.
1 . A method of beamforming with an antenna for satellite communications, the antenna comprising an array of radiating elements, the method comprising:
formulating a matrix based on responses from all elements of the antenna to each of a number of users of a first satellite;
augmenting the matrix by adding responses from the elements of the antenna to other users served by a different satellite;
from the augmented matrix, generating beam weight vectors for a beamforming matrix; and
with the beamforming matrix, beamforming a beam from the antenna.
2 . The method of claim 1 , wherein augmenting the matrix comprises adding to the matrix a response from the elements of the antennae of a set of other users served by a different satellite who are in proximity, within a threshold, to users of the first satellite such that interference that degrades communication can occur.
3 . The method of claim 1 , wherein generating the beamforming matrix further comprises discarding rows or columns from the augmented matrix that correspond to the other users served by the different satellite.
4 . The method of claim 3 , further comprising renormalizing the beamforming to account for discarding the rows or columns from the augmented matrix that correspond to the other users served by the different satellite.
5 . The method of claim 1 , wherein generating the beamforming matrix comprises using Minimum Mean Square Error (MMSE).
6 . The method of claim 1 , wherein the antenna is an antenna on the first satellite.
7 . The method of claim 1 , wherein the antenna is an antenna of a user terminal for communication with the first satellite.
8 . The method of claim 1 , wherein the first satellite and the different satellite are Low Earth Orbit satellites.
9 . The method of claim 1 , wherein the responses from all elements of the antenna to one of the number of users of a first satellite is given as a channel vector.
10 . A beamforming system for an antenna for satellite communications, the antenna comprising an array of radiating elements, the system comprising:
a processor programmed to receive channel vectors representing responses from all elements of the antenna to each of a number of users of a first satellite and augment a matrix formulated from the channel vectors with a number of additional channel vectors representing responses from elements of antennae of other users served by a different satellite, the processor to generate a beam weight vector for each channel vector by jointly maximizing a signal to noise and interference ratio (SINR); and
a beamformer to generate a beamforming matrix from the beam weight vectors and use the beamforming matrix to drive the elements of the antenna to beamform a beam from the antenna.
11 . The system of claim 10 , wherein the processor is programmed to augment the matrix by adding channel vectors representing responses from the elements of the antennae of the set of other users served by a different satellite who are in proximity, within a pre-determined threshold, to users of the first satellite such that interference that degrades communication can occur.
12 . The system of claim 10 , wherein the beamformer, when generating the beamforming matrix, is programmed to discard rows or columns from the augmented matrix that correspond to the other users served by a different satellite.
13 . The system of claim 12 , wherein the beamformer is configured to renormalize to account for discarding the rows or columns from the augmented matrix that correspond to the other users served by a different satellite.
14 . The system of claim 10 , wherein generating the beamforming matrix comprises using Minimum Mean Square Error (MMSE).
15 . The system of claim 10 , wherein the antenna is an antenna on the first satellite.
16 . The system of claim 10 , wherein the antenna is an antenna of a user terminal for communication with the first satellite.
17 . The system of claim 10 , wherein the first satellite and the different satellite are Low Earth Orbit satellites.
18 . The system of claim 10 , wherein the responses from all elements of the antenna to one of the number of users of a first satellite is given as a channel vector.
19 . A method of beamforming with an antenna of a first satellite, the antenna comprising an array of radiating elements, the method comprising:
beamforming a beam of the antenna by taking into account responses of the elements to users of the first satellite; and
further adjusting the beamforming by taking into account responses of the elements to a set of users of a second satellite, where the users of the second satellite are in terrestrial proximity to the users of the first satellite such that interference that degrades communications can occur.
20 . The method of claim 19 , further comprising:
formulating a matrix based on the responses from all elements of the antenna to each of the users of a first satellite;
augmenting the matrix by adding responses from the elements of the antenna to the set of users of the second satellite;
discarding rows or columns from the augmented matrix that correspond to the set of users of the second satellite;
from the augmented matrix, generating a beamforming matrix; and
with the beamforming matrix, beamforming a beam from the antenna.