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In this paper, the authors propose a joint transmit/receive Frequency-Domain Equalization (FDE) based on Minimum Mean Square Error (MMSE) criterion for Multi-Input Multi-Output (MIMO) Analog Network Coding (ANC) in Single-Carrier (SC) bidirectional relay communications. In the proposed scheme, the Relay Station (RS) equipped with multiple antennas carries out antenna diversity and one-tap transmit FDE, and the Base Station (BS) and Mobile Terminal (MT) receivers, both equipped with single antenna, carry out one-tap receive FDE only. The FDE weights at RS, BS and MT are jointly optimized so as to minimize the end-to-end Mean Square Error (MSE).
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