A beamformer generates a null data packet (NDP) that includes various long training fields (LTFs). The beamformer generates the NDP based on a spatial mapping matrix that is a product of two matrices. One matrix has a number of rows equal to a number of antennas of the beamformer, and a number of columns equal to a number of LTFs in the NDP. Further, the other matrix has a number of rows and a number of columns equal to the number of LTFs in the NDP. The number of LTFs in the NDP is greater than a number of antennas of the beamformer. Further, the beamformer transmits the NDP to a beamformee to obtain channel state information associated with a channel between the beamformer and the beamformee, and enable beamforming therebetween.