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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 nT transmit antennas, nR receive antennas. and nS scatterers, the DMT only depends on the ordered version of the triple (nT, nS, nR) , for arbitrary nT, nS and nR. The condition under which the double scattering channel has the same DMT as the single scattering channel is also established.
Date of Publication: April 2011