Transmitting device for supporting reduced feedback in a channel sounding procedure, the transmitting device being configured to: select at least one of a plurality of feedback types, wherein each feedback type is used for indicating a receiving device to provide feedback with a reduced size, and the feedback type comprises an antenna selection feedback type, and/or a wideband precoder feedback type, and/or a combination of wideband precoder and narrowband precoder feedback type; determine a feedback indication format, wherein the feedback indication format comprises the selected at least one feedback type and a feedback dependent field based on the selected feedback type; provide the feedback indication format to the receiving device; and obtain feedback data from the receiving device, wherein the feedback data bases on the determined feedback indication format sent to the receiving device; wherein, if the feedback type is the antenna selection feedback type, a first field of the feedback dependent field indicates a number of antennas to be selected by the receiving device in a set of antennas of the transmitting device; and a second field of the feedback dependent field comprises a set of factors, each factor indicating a number of tones for a different subset of antennas in the set of antennas; wherein, if the feedback type is the wideband precoder feedback format, a first field of the feedback dependent field indicates a maximum allowed number of tones for each of a plurality of determined wideband precoder calculations; and a second field of the feedback dependent field indicates that a per-tone precoder data is not required; wherein, if the feedback type is a combination of wideband precoder and narrowband precoder feedback type, a first field of the feedback dependent field indicates a maximum allowed number of tones for each of a plurality of determined wideband precoder calculations; and a second field of the feedback dependent field indicates that a per-tone precoder data is required. select at least one of a plurality of feedback types, wherein each feedback type is used for indicating a receiving device to provide feedback with a reduced size, and the feedback type comprises an antenna selection feedback type, and/or a wideband precoder feedback type, and/or a combination of wideband precoder and narrowband precoder feedback type; determine a feedback indication format, wherein the feedback indication format comprises the selected at least one feedback type and a feedback dependent field based on the selected feedback type; provide the feedback indication format to the receiving device; and obtain feedback data from the receiving device, wherein the feedback data bases on the determined feedback indication format sent to the receiving device; wherein, if the feedback type is the antenna selection feedback type, a first field of the feedback dependent field indicates a number of antennas to be selected by the receiving device in a set of antennas of the transmitting device; and a second field of the feedback dependent field comprises a set of factors, each factor indicating a number of tones for a different subset of antennas in the set of antennas; wherein, if the feedback type is the wideband precoder feedback format, a first field of the feedback dependent field indicates a maximum allowed number of tones for each of a plurality of determined wideband precoder calculations; and a second field of the feedback dependent field indicates that a per-tone precoder data is not required; wherein, if the feedback type is a combination of wideband precoder and narrowband precoder feedback type, a first field of the feedback dependent field indicates a maximum allowed number of tones for each of a plurality of determined wideband precoder calculations; and a second field of the feedback dependent field indicates that a per-tone precoder data is required.