Journal
IEEE TRANSACTIONS ON INFORMATION THEORY
Volume 59, Issue 1, Pages 588-602Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2012.2218573
Keywords
Belief propagation (BP); iterative algorithms; iterative decoding; message passing; parameter estimation
Funding
- WWTF [ICT10-066]
- FWF within the National Research Network SISE [S10603-N13]
- Renesas Mobile Corporation
- 4GMCT
- Intel Mobile Communications
- Agilent Technologies
- Aalborg University
- Danish National Advanced Technology Foundation
- project Wireless Hybrid Enhanced Mobile Radio Estimators 2 [ICT-248894]
- project SIDOC [POSDRU/88/1.5/S/60078]
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We present a joint message passing approach that combines belief propagation and the mean field approximation. Our analysis is based on the region-based free energy approximation method proposed by Yedidia et al. We show that the message passing fixed-point equations obtained with this combination correspond to stationary points of a constrained region-based free energy approximation. Moreover, we present a convergent implementation of these message passing fixed-point equations provided that the underlying factor graph fulfills certain technical conditions. In addition, we show how to include hard constraints in the part of the factor graph corresponding to belief propagation. Finally, we demonstrate an application of our method to iterative channel estimation and decoding in an orthogonal frequency division multiplexing system.
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