An improved method and apparatus for Mobile Transmit Diversity (MTD), or Uplink Transmit Diversity (ULTD) is disclosed. The mobile device either selects the best antenna at any given time, or transmits from both antennas using the best beam forming phase without feedback from the base station on which antenna to transmit from or which phase to use if using two antennas. Essentially operating in Open Loop MTD, a Hybrid Phase Sweeping algorithm requires testing of a fraction of phase hypotheses resulting in improved base station performance and higher data rates for the user.