1. A method in a second wireless communication transceiver of providing precoder selection feedback to a first wireless communication transceiver, as precoding information for said first transceiver, wherein said method includes determining channel conditions at the second transceiver and comprises:
when operating in a first feedback mode:
selecting a precoder from a predetermined set of precoders based on said channel conditions wherein at least some of the precoders in the predetermined set of precoders are based on a factorized precoder design comprising a conversion precoder with a block diagonal matrix structure and a tuning precoder with a double block diagonal matrix structure, and
sending a full-range index value, with the ability to indicate any of the precoders in the predetermined set, for the selected precoder to said first transceiver as said precoder selection feedback;
when operating in a second feedback mode:
selecting a precoder from a smaller, predetermined subset of precoders contained within the predetermined set of precoders based on said channel conditions wherein the predetermined subset of precoders is based on the factorized precoder design, and
sending a smaller-range index value, with the ability to only indicate precoders within the predetermined subset of precoders, for the selected precoder to said first transceiver as said precoder selection feedback; and
using a smaller signaling payload for sending smaller-range index values as compared to the signaling payload used to send full-range index values.', 'when operating in a first feedback mode:', 'selecting a precoder from a predetermined set of precoders based on said channel conditions wherein at least some of the precoders in the predetermined set of precoders are based on a factorized precoder design comprising a conversion precoder with a block diagonal matrix structure and a tuning precoder with a double block diagonal matrix structure, and', 'sending a full-range index value, with the ability to indicate any of the precoders in the predetermined set, for the selected precoder to said first transceiver as said precoder selection feedback;', 'when operating in a second feedback mode:', 'selecting a precoder from a smaller, predetermined subset of precoders contained within the predetermined set of precoders based on said channel conditions wherein the predetermined subset of precoders is based on the factorized precoder design, and', 'sending a smaller-range index value, with the ability to only indicate precoders within the predetermined subset of precoders, for the selected precoder to said first transceiver as said precoder selection feedback; and', 'using a smaller signaling payload for sending smaller-range index values as compared to the signaling payload used to send full-range index values.

2. The method of claim 1, wherein the second transceiver sends the precoder selection feedback at certain first times on a control channel and at certain second times the transceiver on a data channel, and wherein the method further comprises selecting said first feedback mode when sending the precoder selection feedback multiplexed together with data on the same physical channel and selecting said second feedback mode when sending the precoder selection feedback on the control channel.

3. The method of claim 2, wherein the first and second transceivers operate in accordance with Long Term Evolution, LTE, air interface standards, and wherein the control channel comprises the LTE Physical Uplink Control Channel, PUCCH, and said data channel comprises the LTE Physical Uplink Shared Channel, PUSCH.

4. The method of claim 1, further comprising using the smaller signaling payload to send the smaller-range index values as compared to the signaling payload used to send the full-range index values comprises using a smaller number of bits to represent the smaller-range index values as compared to the number of bits used to represent the full-range index values.

5. The method of claim 1, further comprising dynamically selecting either the first or the second feedback modes responsive to receiving control signaling from the first transceiver.

6. The method of claims 1, wherein the predetermined set of precoders comprises a predetermined set of DFT-based precoders providing a first spatial resolution for beam forming at the first transceiver, and wherein the predetermined subset of precoders contained within the predetermined set comprises a subset of the same DFT-based precoders providing a second spatial resolution for said beam forming at the first transceiver, said second spatial resolution being lower than said first spatial resolution.

7. The method of claims 1, wherein the predetermined set of precoders includes a number of DFT-based precoders representing a total of N DFT-based beams for transmission beamforming, and wherein the predetermined subset of precoders represents a total of M DFT-based beams for transmission beamforming and corresponds to every R-th one of said N DFT-based beams, where N, M, and R are integer values and M

8. The method of claim 7, wherein at least some of the precoders in the predetermined set of precoders correspond to a set of N different conversion precoders and a set of tuning precoders, and wherein each said conversion precoder comprises a block diagonal matrix in which each block comprises a DFT-based precoder that defines N different DFT-based beams for a subgroup in a group of NT transmit antenna ports at the first transceiver, and the predetermined subset of precoders represents every R-th one of said N DFT-based beams.

9. The method of claim 1, further comprising selecting said second feedback mode when sending precoder selection feedback as an unscheduled transmission, and selecting said first feedback mode when sending precoder selection feedback as a scheduled transmission

10. A wireless communication transceiver configured to provide precoder selection feedback to another wireless communication transceiver as precoding information for said other transceiver, said transceiver comprising a receiver configured to receive signals from said other transceiver and a channel estimator configured to estimate channel conditions at said transceiver with respect to signals received from said other transceiver, and wherein said transceiver comprises:
a transmitter configured to transmit signals to said other transceiver, including signals conveying said precoder selection feedback; and
a precoding feedback generator configured to determine whether to operate in a first feedback mode or a second feedback mode and further configured to:
when operating in the first feedback mode:
select a precoder from a predetermined set of precoders based on said channel conditions wherein at least some of the precoders in the predetermined set of precoders are based on a factorized precoder design comprising a conversion precoder with a block diagonal matrix structure and a tuning precoder with a double block diagonal matrix structure, and
send a full-range index value, with the ability to indicate any of the precoders in the predetermined set, for the selected precoder to said other transceiver as said precoder selection feedback; and
when operating in the second feedback mode:
select a precoder from a predetermined subset of precoders contained in said predetermined set of precoders based on said channel conditions wherein the predetermined subset of precoders is based on the factorized precoder design, and
send a smaller-range index value, with the ability to only indicate precoders within the predetermined subset of precoders, for the selected precoder to said other transceiver as said precoder selection feedback;
wherein said precoding feedback generator is configured to use a smaller signaling payload for sending smaller-range index values as compared to the signaling payload used to send full-range index values.', 'a transmitter configured to transmit signals to said other transceiver, including signals conveying said precoder selection feedback; and', 'a precoding feedback generator configured to determine whether to operate in a first feedback mode or a second feedback mode and further configured to:', 'when operating in the first feedback mode:', 'select a precoder from a predetermined set of precoders based on said channel conditions wherein at least some of the precoders in the predetermined set of precoders are based on a factorized precoder design comprising a conversion precoder with a block diagonal matrix structure and a tuning precoder with a double block diagonal matrix structure, and', 'send a full-range index value, with the ability to indicate any of the precoders in the predetermined set, for the selected precoder to said other transceiver as said precoder selection feedback; and', 'when operating in the second feedback mode:', 'select a precoder from a predetermined subset of precoders contained in said predetermined set of precoders based on said channel conditions wherein the predetermined subset of precoders is based on the factorized precoder design, and', 'send a smaller-range index value, with the ability to only indicate precoders within the predetermined subset of precoders, for the selected precoder to said other transceiver as said precoder selection feedback;', 'wherein said precoding feedback generator is configured to use a smaller signaling payload for sending smaller-range index values as compared to the signaling payload used to send full-range index values.11. The transceiver of claim 10, wherein the transceiver is configured to send said precoder selection feedback at certain first times on a control channel and at certain second times on a data channel, and wherein said precoding feedback generator is configured to select said first feedback mode when sending said precoder selection feedback multiplexed together with data on the same physical channel and to select said second feedback mode when sending said precoder selection feedback on said control channel.12. The transceiver of claim 11, wherein the transceiver and said other transceiver are configured to operate in accordance with Long Term Evolution, LTE, air interface standards, and wherein said control channel comprises the LTE Physical Uplink Control Channel, PUCCH, and said data channel comprises the LTE Physical Uplink Shared Channel, PUSCH.13. The transceiver of claim 10, wherein the transceiver is configured to use the smaller signaling payload for sending the smaller-range index values as compared to sending the full-range index values based on being configured to use a smaller number of bits to represent the smaller-range index values as compared to the number of bits used to represent the full-range index values.14. The transceiver of claim 10, wherein said transceiver is configured to dynamically select either the first or the second feedback mode in response to receiving control signaling from said other transceiver.15. The transceiver of claim 10, wherein said predetermined set of precoders comprises a predetermined set of DFT-based precoders providing a first spatial resolution for beam forming at said other transceiver, and wherein the predetermined subset of precoders contained within said predetermined set comprises a subset of the same DFT-based precoders providing a second spatial resolution for said beam forming at said other transceiver, said second spatial resolution being lower than said first spatial resolution.16. The transceiver of claim 10, wherein the predetermined set of precoders includes a number of DFT-based precoders representing a total of N DFT-based beams for transmission beamforming, and wherein the predetermined subset of precoders represents a total of M DFT-based beams for transmission beamforming and corresponds to every R-th one of said N DFT-based beams, where N, M, and R are integer values and Mreceiving precoder selection feedback from the second transceiver;
determining whether the precoder selection feedback comprises a first type of precoder selection feedback including a full-range index value, or a second type of precoder selection feedback including a smaller-range index value that is signaled by the second transceiver using a lower signaling overhead as compared to that used for signaling full-range index values;
if the precoder selection feedback is the first type of precoder selection feedback, identifying the precoder recommendation by identifying a precoder from a predetermined set of precoders indexed by the full-range index value included in the precoder selection feedback, wherein at least some of the precoders in the predetermined set of precoders are based on a factorized precoder design comprising a conversion precoder with a block diagonal matrix structure and a tuning precoder with a double block diagonal matrix structure;
if the precoder selection feedback is the second type of precoder selection feedback, identifying the precoder recommendation by identifying a precoder from a predetermined subset of precoders indexed by the smaller-range index value included in the precoder selection feedback, said predetermined subset of precoders including at least one precoder based on the factorized precoder design contained within the predetermined set of precoders; and
determining a precoding operation for precoding a transmission to the second transceiver based at least in part on the precoder recommendation.', 'receiving precoder selection feedback from the second transceiver;', 'determining whether the precoder selection feedback comprises a first type of precoder selection feedback including a full-range index value, or a second type of precoder selection feedback including a smaller-range index value that is signaled by the second transceiver using a lower signaling overhead as compared to that used for signaling full-range index values;', 'if the precoder selection feedback is the first type of precoder selection feedback, identifying the precoder recommendation by identifying a precoder from a predetermined set of precoders indexed by the full-range index value included in the precoder selection feedback, wherein at least some of the precoders in the predetermined set of precoders are based on a factorized precoder design comprising a conversion precoder with a block diagonal matrix structure and a tuning precoder with a double block diagonal matrix structure;', 'if the precoder selection feedback is the second type of precoder selection feedback, identifying the precoder recommendation by identifying a precoder from a predetermined subset of precoders indexed by the smaller-range index value included in the precoder selection feedback, said predetermined subset of precoders including at least one precoder based on the factorized precoder design contained within the predetermined set of precoders; and', 'determining a precoding operation for precoding a transmission to the second transceiver based at least in part on the precoder recommendation.

20. The method of claim 19, further comprising receiving said first type of precoder selection feedback on a data channel and receiving said second type of precoder selection feedback on a control channel.

21. The method of claim 20, wherein the first and second transceivers operate in accordance with Long Term Evolution, LTE, air interface standards, and wherein said control channel comprises the LTE Physical Uplink Control Channel, PUCCH, and said data channel comprises the LTE Physical Uplink Shared Channel, PUSCH.

22. The method of claim 19, further comprising sending control signaling to the second transceiver to control whether the second transceiver sends the first type or the second type of precoder selection feedback.

23. The method of claim 19, wherein said predetermined set of precoders comprises a predetermined set of DFT-based precoders providing a first spatial resolution for beam forming at said first transceiver, and wherein the predetermined subset of precoders contained within said predetermined set comprises a subset of the same DFT-based precoders providing a second spatial resolution for said beam forming at said first transceiver, said second spatial resolution being lower than said first spatial resolution.

24. The method of claim 19, wherein said predetermined set of precoders represents a total of N DFT-based beams for transmission beamforming by said transceiver, and wherein the predetermined subset of precoders represents a total of M DFT-based beams for transmission beamforming and corresponds to every R-th one of said N DFT-based beams, where N, M, and R are integer values and M

25. The method of claim 24, wherein said M precoders are selected from the N precoders to minimize distances on a Grassmanian manifold between the M precoders.

26. A wireless communication transceiver configured to determine a precoder recommendation from another wireless communication transceiver, said transceiver comprising:
a receiver configured to receive precoder selection feedback from the other transceiver;
a feedback processor configured to determine whether the precoder selection feedback comprises a first type of precoder selection feedback including a full-range index value, or a second type of precoder selection feedback including a smaller-range index value that is signaled by the other transceiver using a lower signaling overhead as compared to that used for signaling full-range index values;
said feedback processor configured to:
if the precoder selection feedback is the first type of precoder selection feedback, identify the precoder recommendation by identifying a precoder from a predetermined set of precoders indexed by the full-range index value included in the precoder selection feedback, wherein at least some of the precoders in the predetermined set of precoders are based on a factorized precoder design comprising a conversion precoder with a block diagonal matrix structure and a tuning precoder with a double block diagonal matrix structure; and
if the precoder selection feedback is the second type of precoder selection feedback, identify the precoder recommendation by identifying a precoder from a predetermined subset of precoders indexed by the smaller-range index value included in the precoder selection feedback, said predetermined subset of precoders including at least one precoder based on the factorized precoder design contained within the predetermined set of precoders; and

wherein said feedback processor or an associated precoding controller is configured to determine a precoding operation for precoding a transmission to the other transceiver based at least in part on the precoder recommendation.', 'a receiver configured to receive precoder selection feedback from the other transceiver;', 'a feedback processor configured to determine whether the precoder selection feedback comprises a first type of precoder selection feedback including a full-range index value, or a second type of precoder selection feedback including a smaller-range index value that is signaled by the other transceiver using a lower signaling overhead as compared to that used for signaling full-range index values;', 'said feedback processor configured to:
if the precoder selection feedback is the first type of precoder selection feedback, identify the precoder recommendation by identifying a precoder from a predetermined set of precoders indexed by the full-range index value included in the precoder selection feedback, wherein at least some of the precoders in the predetermined set of precoders are based on a factorized precoder design comprising a conversion precoder with a block diagonal matrix structure and a tuning precoder with a double block diagonal matrix structure; and
if the precoder selection feedback is the second type of precoder selection feedback, identify the precoder recommendation by identifying a precoder from a predetermined subset of precoders indexed by the smaller-range index value included in the precoder selection feedback, said predetermined subset of precoders including at least one precoder based on the factorized precoder design contained within the predetermined set of precoders; and', 'if the precoder selection feedback is the first type of precoder selection feedback, identify the precoder recommendation by identifying a precoder from a predetermined set of precoders indexed by the full-range index value included in the precoder selection feedback, wherein at least some of the precoders in the predetermined set of precoders are based on a factorized precoder design comprising a conversion precoder with a block diagonal matrix structure and a tuning precoder with a double block diagonal matrix structure; and', 'if the precoder selection feedback is the second type of precoder selection feedback, identify the precoder recommendation by identifying a precoder from a predetermined subset of precoders indexed by the smaller-range index value included in the precoder selection feedback, said predetermined subset of precoders including at least one precoder based on the factorized precoder design contained within the predetermined set of precoders; and', 'wherein said feedback processor or an associated precoding controller is configured to determine a precoding operation for precoding a transmission to the other transceiver based at least in part on the precoder recommendation.

27. The transceiver of claim 26, wherein said transceiver is configured to receive the first type of precoder selection feedback over a data channel between the transceivers, and is configured to receive the second type of precoder selection feedback over a control channel between the transceivers.

28. The transceiver of claim 27, wherein said transceiver is an eNodeB configured for operation a wireless communication network based on 3GPP Long Term Evolution (LTE) standards, and wherein the data channel comprises the LTE Physical Uplink Shared Channel, PUSCH, and the control channel comprises the LTE Physical Uplink Control Channel (PUCCH).

29. The transceiver of claim 26, wherein the predetermined set of precoders comprises a predetermined set of DFT-based precoders providing a first spatial resolution for beam forming at said transceiver, and wherein the predetermined subset of precoders contained within the predetermined set comprises a subset of the same DFT-based precoders providing a second spatial resolution for said beam forming at said transceiver, said second spatial resolution being lower than said first spatial resolution.

30. The transceiver of claim 26, wherein the predetermined set of precoders represents a total of N DFT-based beams for transmission beamforming by said transceiver, and wherein the predetermined subset of precoders represents a total of M DFT-based beams for transmission beamforming by said transceiver and corresponds to every R-th one of said N DFT-based beams, where N, M, and R are integer values and M