MIMO. Lecture 7. Main Story. So far we have mainly considered single-input multi output (SIMO ) and multi-input single-output ( MISO) channels . They provide diversity and power gains but no degree-of freedom ( DoF ) gain. DoF gain is most useful in the high SNR regime.
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At high SNR, equal power allocation is optimal:
where k is the number of nonzero λi's, i.e. the rankof H.
The closer the condition number:
to 1, the higher the capacity.
Rank of H is always less than min(nr, nt): Max Degrees of Freedom.
A space-time coding scheme achieves a diversity multiplexing tradeoff curve d(r) if for each multiplexing gain r, simultaneously
The largest multiplexing gain is rmax, the DoFutilized by the scheme. The largest diversity gain is dmax = d(0), the classical diversity gain.