Abstract
Belief propagation (BP) decoding has been widely used for decoding Luby transform (LT) codes which perform very well for a large number of input symbols. However, in reality, small numbers of input symbols are often encountered. In this paper, an efficient BP decoding assisted on-the-fly Gaussian elimination (OFG) decoding process is proposed. Our algorithm exploits XOR operations to get a packet of degree one when the ripple is empty, which gives a small value of overhead. Simulation results show that the proposed algorithm gives a largely improved overhead, about a 0.25 or more, with respect to that of the conventional BP algorithm. The complexity of the proposed algorithm is notably reduced with respect to that of OFG, especially in case of \(k = 150\)–500, while guaranteeing the overhead nearly same as that of OFG.
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Funding for this paper was provided by Namseoul university.
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Cheong, H., Eun, J., Kim, H. et al. Belief propagation decoding assisted on-the-fly Gaussian elimination for short LT codes. Cluster Comput 19, 309–314 (2016). https://doi.org/10.1007/s10586-015-0522-0
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DOI: https://doi.org/10.1007/s10586-015-0522-0