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.