A new design framework for LT codes over noisy channels
Date
2014
Authors
Hussain, I.
Land, I.
Chan, T.H.
Xiao, M.
Rasmussen, L.
Editors
Wan, Y.
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Conference paper
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IEEE International Symposium on Information Theory - Proceedings, 2014 / Wan, Y. (ed./s), pp.2162-2166
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2014 International Symposium on Information Theory (29 Jun 2014 - 4 Jul 2014 : Honolulu, Hawaii)
Abstract
Luby transform (LT) codes are a class of rateless codes that automatically adapt their rate to the quality of the communication channel. In the original LT codes, fixed checknode degree distributions are used to combine variable nodes uniformly at random to extend the code graph and produce code bits. Here we propose a different approach: we design a sequence of rate-compatible degree distributions, and develop an algorithm that produces code bits in a manner such that the resulting degree distributions follow the designed sequence. Using this new design framework, we develop low-complexity LT codes suitable for time-varying noisy channels. Performance and complexity of the proposed LT codes are measured in terms of bit error rate and average number of edges per information and coded bit, respectively. Numerical examples illustrate the resulting trade-off between performance and complexity of the designed LT codes.
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Copyright 2014 IEEE