Diversity and multiplexing tradeoff of multiple beamforming in MIMO channels

Following the pioneering work of Zheng and Tse, this paper derives the diversity and spatial multiplexing gain tradeoff for MIMO systems employing a multiple beamforming scheme. This result is obtained looking at the channel performance limits when both the SNR and the transmission rate tend to infinity, such that the relation between the rate and the capacity is constant. Assuming a uniform power allocation among eigenbeams, the optimal rate allocation policy in the sense of the best diversity and multiplexing tradeoff is obtained