Title
Bayesian Equalization for LDPC Channel Decoding
Abstract
We describe the channel equalization problem, and its prior estimate of the channel state information (CSI), as a joint Bayesian estimation problem to improve each symbol posterior estimates at the input of the channel decoder. Our approach takes into consideration not only the uncertainty due to the noise in the channel, but also the uncertainty in the CSI estimate. However, this solution cannot be computed in linear time, because it depends on all the transmitted symbols. Hence, we also put forward an approximation for each symbol's posterior, using the expectation propagation algorithm, which is optimal from the Kullback–Leibler divergence viewpoint and yields an equalization with a complexity identical to the BCJR algorithm. We also use a graphical model representation of the full posterior, in which the proposed approximation can be readily understood. The proposed posterior estimates are more accurate than those computed using the ML estimate for the CSI. In order to illustrate this point, we measure the error rate at the output of a low-density parity-check decoder, which needs the exact posterior for each symbol to detect the incoming word and it is sensitive to a mismatch in those posterior estimates. For example, for QPSK modulation and a channel with three taps, we can expect gains over 0.5 dB with same computational complexity as the ML receiver.
Year
DOI
Venue
2012
10.1109/TSP.2012.2184098
IEEE Transactions on Signal Processing
Keywords
Field
DocType
bayesian methods,fading channel,linear time,graphical model,kullback leibler divergence,low density parity check,ldpc,decoding,modulation,bcjr algorithm,channel state information,error rate,channel coding,bayesian method,computational complexity,bayesian inference,channel equalization,ldpc code,intersymbol interference
BCJR algorithm,Intersymbol interference,Low-density parity-check code,Control theory,Algorithm,Communication channel,Theoretical computer science,Expectation propagation,Decoding methods,Bayes estimator,Mathematics,Channel state information
Journal
Volume
Issue
ISSN
60
5
1053-587X
Citations 
PageRank 
References 
6
0.48
17
Authors
3
Name
Order
Citations
PageRank
Luis Salamanca1285.63
Juan José Murillo-Fuentes218223.93
Fernando Pérez-Cruz374961.24