%0 Journal Article
%T Bounds on the capacity regions of half-duplex Gaussian MIMO relay channels
%A Lennart Gerdes
%A Maximilian Riemensberger and Wolfgang Utschick
%J EURASIP Journal on Advances in Signal Processing
%D 2013
%I 
%R 10.1186/1687-6180-2013-43
%X This article considers uni- and bidirectional communication in the half-duplex Gaussian multiple- input multiple-output (MIMO) relay channel. Assuming perfect channel state information at all nodes and the use of time division duplex communications protocol to separate transmissions and recep- tions at all nodes, we propose a dual decomposition approach to efficiently determine upper and lower bounds on the capacity and the capacity region of the half-duplex relay channel and the restricted half- duplex two-way relay channel, respectively. Our approach allows to quantify the fundamental limits of the considered relay networks, and the obtained results may serve as benchmarks when studying different and/or suboptimal relay strategies or the impact of channel estimation errors. Furthermore, we discuss how our dual decomposition approach may be used for designing optimal resource alloca- tion protocols.
%U http://asp.eurasipjournals.com/content/2013/1/43/abstract