Xianglan Jin and Young-Han Kim
IEEE Transactions on Information Theory, vol. 63, no. 2, pp. 1167–1176, February 2017.
Preliminary results appeared in Proceedings of the IEEE International Symposium on Information Theory, pp. 2102–2106, Honolulu, Hawaii, July 2014.
Capacity bounds are studied for the multiple-antenna complex Gaussian
relay channel with transmitting antennas at the sender,
receiving and
transmitting antennas at the relay, and
receiving antennas at the receiver. It is shown that the partial
decode–forward coding scheme achieves within
bits from
the cutset bound and at least one half of the cutset bound,
establishing a good approximate characterization of the capacity. A
similar additive gap of
bits is shown to be
achieved by the compress–forward coding scheme. The corresponding
results for time-division half-duplex relay channels are also
established.