In order to save the frequency resource and have better anti-noise characteristics in multi-way relay wireless communication system, this paper proposes three adaptive network coding algorithms based on precoding technology which meet transmission capacity maximization of communication system. The three network coding algorithms proposed in this paper are the Beamforming (BM-NC), Space-multiplexing (SM-NC) and the Space-time (ST-NC) network coding. We also contrast the anti-noise performance of three network coding algorithms by communication system simulation experiment.
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