We propose two coding schemes combining decode-forward (DF) and noisy networkcoding (NNC) with different flavors. The first is a combined DF-NNC scheme forthe one-way relay channel which includes both DF and NNC as special cases byperforming rate splitting, partial block Markov encoding and NNC. The secondcombines two different DF strategies and layered NNC for the two-way relaychannel. One DF strategy performs coherent block Markov encoding at the sourceat the cost of power splitting at the relay, the other performs independentsource and relay encoding but with full relay power, and layered NNC allows adifferent compression rate for each destination. Analysis and simulation showthat both proposed schemes supersede each individual scheme and take fulladvantage of both DF and NNC.
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