Beamforming in MIMO radio networks
It is provided a method, including decomposing a channel matrix obtained from a reception channel from a sender to a reception antenna array into its singular vectors, wherein the singular vectors include left-singular vectors and right-singular vectors; allocating powers to the right-singular vectors to obtain power-allocated right-singular vectors; identifying maximum antenna gain directions based on a response function of the reception antenna array and all or a subset of the power-allocated right-singular vectors; calculating, for each of the maximum antenna gain directions or a subset thereof, a respective transmission beamforming vector based on a response function of a transmission antenna array; applying the transmission beamforming vectors or a subset thereof to a transmission via the transmission antenna array to the sender.
1. An apparatus, comprising
at least one non-transitory memory including computer program code;
at least one processor, wherein the at least one memory and the computer program code are arranged, when executed by the at least one processor, to cause the apparatus to be configured for:
decomposing a channel matrix obtained from a reception channel from a sender to a reception antenna array into its singular vectors, wherein the singular vectors include left-singular vectors and right-singular vectors;
allocating powers to the right-singular vectors to obtain power-allocated right-singular vectors;
identifying maximum antenna gain directions based on a response function of the reception antenna array and all or a subset of the power-allocated right-singular vectors;
calculating, for each of the maximum antenna gain directions or a subset thereof, a respective transmission beamforming vector based on a response function of a transmission antenna array; and
applying the transmission beamforming vectors or a subset thereof to a transmission signal via the transmission antenna array to the sender.
2. The apparatus according to claim 1 , wherein the calculating is configured such that the calculating of the transmission beamforming vectors comprises reducing side lobes of at least a subset of the transmission beamforming vectors.
3. The apparatus according to claim 2 , wherein the side lobes are reduced by tapering.
4. The apparatus according to claim 1 , wherein the calculating is configured such that the calculating of the transmission beamforming vectors comprises orthogonalizing the beamforming vectors.
5. The apparatus according to claim 1 , wherein
the allocating is configured to allocate the powers by a waterfilling algorithm.
6. The apparatus according to claim 1 , wherein
the allocating is configured to prune power-allocated vectors to which less power than a predetermined power threshold is allocated.
7. The apparatus according to claim 1 , wherein the reception antenna array is a same as the transmission antenna array.
8. An apparatus, comprising
at least one non-transitory memory including computer program code;
at least one processor, wherein the at least one memory and the computer program code are arranged, when executed by the at least one processor, to cause the apparatus to be configured for:
decomposing a channel matrix obtained from a reception channel from a sender to a reception antenna array into its singular vectors, wherein the singular vectors include normalized left-singular vectors and normalized right-singular vectors;
identifying maximum antenna gain directions based on a response function of the reception antenna array and the normalized right-singular vectors;
calculating, for each of the maximum antenna gain directions or a subset thereof, a respective transmission beamforming vector based on a response function of a transmission antenna array;
allocating powers to the transmission beamforming vectors to obtain power-allocated transmission beamforming vectors;
applying the power-allocated transmission beamforming vectors or a subset thereof to a transmission signal via the transmission antenna array to the sender.
9. Method, comprising
decomposing a channel matrix obtained from a reception channel from a sender to a reception antenna array into its singular vectors, wherein the singular vectors include left-singular vectors and right-singular vectors;
allocating powers to the right-singular vectors to obtain power-allocated right-singular vectors;
identifying maximum antenna gain directions based on a response function of the reception antenna array and all or a subset of the power-allocated right-singular vectors;
calculating, for each of the maximum antenna gain directions or a subset thereof, a respective transmission beamforming vector based on a response function of a transmission antenna array;
applying the transmission beamforming vectors or a subset thereof to a transmission signal via the transmission antenna array to the sender.
10. A computer program product comprising a non-transitory computer readable medium having a set of instructions which, when executed by an apparatus, is configured to cause the apparatus to carry out the method according to claim 9 .
11. Method, comprising
decomposing a channel matrix obtained from a reception channel from a sender to a reception antenna array into its singular vectors, wherein the singular vectors include normalized left-singular vectors and normalized right-singular vectors;
identifying maximum antenna gain directions based on a response function of the reception antenna array and the normalized right-singular vectors;
calculating, for each of the maximum antenna gain directions, a respective transmission beamforming vector based on a response function of a transmission antenna array;
allocating powers to the transmission beamforming vectors to obtain power-allocated transmission beamforming vectors;
applying the power-allocated transmission beamforming vectors or a subset thereof to a transmission signal via the transmission antenna array to the sender.
12. The method according to claim 11 , wherein the calculating of the transmission beamforming vectors comprises reducing side lobes of at least a subset of the transmission beamforming vectors.
13. The method according to claim 12 , wherein the side lobes are reduced by tapering.
14. The method according to claim 11 , wherein the calculating of the transmission beamforming vectors comprises orthogonalizing the beamforming vectors.
15. The method according to claim 11 , wherein
the powers are allocated by a waterfilling algorithm.
16. The method according to claim 11 , wherein
the allocating comprises pruning power-allocated vectors to which less power than a predetermined power threshold is allocated.
17. The method according to claim 11 , wherein the reception antenna array is the same as the transmission antenna array.
18. A computer program product comprising a non-transitory computer readable medium having a set of instructions which, when executed by an apparatus, is configured to cause the apparatus to carry out the method according to claim 11 .