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We consider the role of Wyner-Ziv binning in compress-forward for relaychannels. In the one-way relay channel, we analyze a compress-forward schemewithout Wyner- Ziv binning but with joint decoding of both the message andcompression index. It achieves the same rate as the original compress-forwardscheme with binning and successive decoding. Therefore, binning helps reducedecoding complexity by allowing successive decoding, but has no impact onachievable rate for the one-way relay channel. On the other hand, no binningsimplifies relay operation. By extending compress-forward without binning tothe two-way relay channel, we can achieve a larger rate region than theoriginal compress-forward scheme when the channel is asymmetric for the twousers. Binning and successive decoding limits the compression rate to match theweaker of the channels from relay to two users, whereas without binning, thisrestriction no longer applies. Compared with noisy network coding,compress-forward without binning achieves the same rate region in certainGaussian channel configurations, and it has much less delay. This work is astep toward understanding the role of Wyner-Ziv binning in compress-forwardrelaying.

Compress-Forward without Wyner-Ziv Binning for the One-Way and Two-Way Relay Channels