Belief propagation decoding assisted on-the-fly Gaussian elimination for short LT codes

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 el...

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Veröffentlicht in:Cluster computing 2016-03, Vol.19 (1), p.309-314
Hauptverfasser: Cheong, Hoyoung, Eun, Jonwon, Kim, Hyuncheol, Kim, Kuinam J.
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Kim, Kuinam J.
description 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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subjects Algorithms
Codes
Computer Communication Networks
Computer Science
Decoding
Gaussian elimination
Operating Systems
Processor Architectures
Propagation
Symbols
title Belief propagation decoding assisted on-the-fly Gaussian elimination for short LT codes
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