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 is characterized by: when operating in a first feedback mode, selecting a precoder from a predetermined set of precoders based on said channel conditions, 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, said first feedback mode is selected when sending the precoder selection feedback multiplexed together with data on a physical data channel; 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, 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, said second feedback mode is selected when sending the precoder selection feedback on a control channel; using a smaller signaling payload for sending smaller-range index values as compared to the signaling payload used to send full-range index values; and 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. when operating in a first feedback mode, selecting a precoder from a predetermined set of precoders based on said channel conditions, 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, said first feedback mode is selected when sending the precoder selection feedback multiplexed together with data on a physical data channel; 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, 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, said second feedback mode is selected when sending the precoder selection feedback on a control channel; using a smaller signaling payload for sending smaller-range index values as compared to the signaling payload used to send full-range index values; and 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.