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This paper studies the joint resource allocation problem of antenna, sub-channel, transmission power, and phase duration for the relay-enhanced bidirectional Multiple-Input Multiple-Output Orthogonal Frequency Division Multiplexing (MIMO-OFDM) networks. The goal of resource allocation is to minimize the transmission energy in the networks with multiple Relay Stations (RSs) under the data rate constraints of User Equipment (UE). The challenges of this resource allocation problem arise from the complication of multiple-phase assignments within a sub-channel since the RS can provide an additional transmission path from the base station to the UEs.
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