  We analyze two-user single-antenna fading interference channels with perfect
receive channel state information (CSI) and no transmit CSI. For the case of
very strong interference, we prove that decoding interference while treating
the intended signal as noise, subtracting the result out, and then decoding the
desired signal, a process known as "stripping", achieves the
diversity-multiplexing tradeoff (DMT) outer bound derived in Akuiyibo and
Leveque, Int. Zurich Seminar on Commun., 2008. The proof is constructive in the
sense that it provides corresponding code design criteria for DMT optimality.
For general interference levels, we compute the DMT of a fixed-power-split Han
and Kobayashi type superposition coding scheme, provide design criteria for the
corresponding superposition codes, and find that this scheme is DMT-optimal for
certain multiplexing rates.
