Computer Science – Information Theory
Scientific paper
2011-06-10
IEEE Transactions on Information Theory (Special Issue on Interference Networks), Vol. 57, No. 5, pp. 3016--3031 May 2011
Computer Science
Information Theory
Scientific paper
10.1109/TIT.2011.2120010
The multi-way relay channel is a multicast network where L users exchange data through a relay. In this paper, the capacity region of a class of multi-way relay channels is derived, where the channel inputs and outputs take values over finite fields. The cut-set upper bound to the capacity region is derived and is shown to be achievable by our proposed functional-decode-forward coding strategy. More specifically, for the general case where the users can transmit at possibly different rates, functional-decode-forward, combined with rate splitting and joint source-channel decoding, is proved to achieve the capacity region; while for the case where all users transmit at a common rate, rate splitting and joint source-channel decoding are not required to achieve the capacity. That the capacity-achieving coding strategies do not utilize the users' received signals in the users' encoding functions implies that feedback does not increase the capacity region of this class of multi-way relay channels.
Johnson Sarah J.
Kellett Christopher M.
Ong Lawrence
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