On the Diversity-Multiplexing Tradeoff of Multiuser Ampfliy & Forward Multihop Networks


Jörg Wagner and Armin Wittneben


Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, Nov. 2009.

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We consider an amplify & forward multihop network with n single-antenna nodes in the source and destination stage each, as well as n_R^(l), l in {1, . . . , L}, single-antenna relay nodes in the l-th relay stage. The relay gain allocation scheme proposed in [1] decouples this network into parallel single-input single-output (SISO) links between n source-destination pairs under certain conditions on the network topology. Hence, all degrees of freedom are achieved in a distributed fashion. We extend this as follows: for i.i.d. CN(0, 1) fading coefficients and SISO coding/decoding at source and destination nodes, we derive an upper-bound on the diversity-multiplexing tradeoff curve of the network. Moreover, we devise a scheme that we conjecture to achieve the bound, if the network can be decoupled and L \geq 2.

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