Diversity-Multiplexing Tradeoff of Double Scattering MIMO Channels

It is well known that the presence of double scattering degrades the performance of a MIMO channel, in terms of both the multiplexing gain and the diversity gain. In this paper, a closed-form expression of the diversity-multiplexing tradeoff (DMT) of double scattering MIMO channels is obtained. It is shown that, for a channel with n_T transmit antennas, n_R receive antennas. and n_S scatterers, the DMT only depends on the ordered version of the triple (n_T, n_S, n_R) , for arbitrary n_T, n_S and n_R. The condition under which the double scattering channel has the same DMT as the single scattering channel is also established.