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Uniformly reweighted belief propagation for estimation and detection in wireless networks

: Wymeersch, H.; Penna, F.; Savic, V.


IEEE Transactions on Wireless Communications 11 (2012), Nr.4, S.1587-1595
ISSN: 1536-1276
Fraunhofer HHI ()

In this paper, we propose a new inference algorithm, suitable for distributed processing over wireless networks. The algorithm, called uniformly reweighted belief propagation (URW-BP), combines the local nature of belief propagation with the improved performance of tree-reweighted belief propagation (TRW-BP) in graphs with cycles. It reduces the degrees of freedom in the latter algorithm to a single scalar variable, the uniform edge appearance probability . We provide a variational interpretation of URW-BP, give insights into good choices of , develop an extension to higher-order potentials, and complement our work with numerical performance results on three inference problems in wireless communication systems: spectrum sensing in cognitive radio, cooperative positioning, and decoding of a low-density parity-check (LDPC) code.