Amplifying matrix design for noncooperative SIMO relay networks under channel uncertainty

This paper presents an optimum diagonal amplifying relay matrix based on minimum mean square error (MMSE) criterion for noncooperative distributed wireless relay networks under channel uncertainty. A single-input multiple-output (SIMO) system with one-source M-destination N-relay nodes is considered. Bit error rate (BER) of the wireless relay network under both certain and uncertain channel conditions is simulated using the derived optimum diagonal amplifying relay matrices. For comparisons, the case of both perfect and imperfect channel conditions for single-input single-output (SISO) system with N relay nodes is also considered.