Adaptive transmitting antenna arrays can increase the capacity of mobi
le radio networks by reusing a channel among several users. To reuse b
andwidth, a transmitting antenna array can exploit feedback informatio
n from the mobile receivers in order to track changes in the multipath
environment. When the mobile is moving rapidly, the required feedback
rates can become significant. We present a new method for transmissio
n beamforming, which, by exploiting the subspace structure present in
the spatial channel, requires much lower feedback data rates than prev
ious methods. We consider antenna arrays at the base only, and the mob
ile has a single omnidirectional antenna.