Mukkavilli, Krishna KiranSabharwal, AshutoshErkip, ElzaAazhang, Behnaam2007-10-312007-10-312003-07-202003-07-20K. K. Mukkavilli, A. Sabharwal, E. Erkip and B. Aazhang, "Beamformer Design with Feedback Rate Constraints : Criteria and Constructions," 2003.https://hdl.handle.net/1911/20118Conference paperIn this work, we provide a geometrical framework for the analysis and design of beamformer codebooks with finite number of beamformer vectors. We present a design criterion for good beamfomer codebooks and show the equivalence of the beamformer design problem to two other known problems. First, the beamformer design problem can be directly posed as a problem of packing <b><i>2</i></b> dimensional subspaces in a <b><i>2t</i></b> dimensional Grassmannian manifold, <b><i>t</i></b> being the number of transmit antennas. And second, under certain conditions, the beamformer design problem is equivalent to the construction of unitary space time constellations.engMultiple antennasMIMO systemsbeamformingquantizerfeedbackConference paperMultiple antennasMIMO systemsbeamformingquantizerfeedback