Communication schemes have been proposed for MIMO relay networks that
achieve the optimal diversity-multiplexing tradeoff, but at the price of
complex operations at the relays. On the other hand, simple
amplify-and-forward operation at the relays has been shown to be
suboptimal. In this talk, I will present a new linear relaying scheme that
achieves the optimal diversity-mutliplexing tradeoff for such networks.
The analysis of the scheme involves the study of the joint distribution of
random matrix subdeterminants.