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Design of LT Codes with Equal and Unequal Erasure Protection over Binary Erasure Channels

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3 Author(s)
Iqbal Hussain ; Communication Theory Laboratory, School of Electrical Engineering, KTH Royal Institute of Technology and the ACCESS Linnaeus Center, Stockholm, Sweden ; Ming Xiao ; Lars K. Rasmussen

The erasure floor performance of Luby Transform (LT) codes is mainly determined by the minimum variable-node degree. Thus we propose a modified encoding scheme that maximizes the minimum variable-node degree for transmission over binary erasure channels. The proposed scheme leads to an almost-regular variable-node degree distribution. The encoding process is generalized to accommodate arbitrary variable-node degree distributions for additional improved performance. The asymptotic performance is investigated using density evolution and compared with a conventional LT code. The scheme is further extended to enable a higher level of unequal erasure protection.

Published in:

IEEE Communications Letters  (Volume:17 ,  Issue: 2 )