Amplifying Matrix Design for Cooperative Relay Networks under Channel Uncertainty and Power Constraint

This paper presents an optimum amplifying relay matrix based on minimum mean square error (MMSE) criteria for the cooperative distributed wireless relay networks under channel uncertainty and total power constraint at the relay nodes. A one-source-one-destination pair node and �� relay nodes are considered, which can be extended for a general case. All relays are assumed to exchange their received signals with no errors for full cooperation. With the derived optimum amplifying relay matrix, bit error rate (BER) of the relay network under channel uncertainty is simulated and compared with that of the network under a certain channel condition to observe the degradation. Index Terms—AF, MMSE, channel-uncertainty, power-const- raint.

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