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Construction of irregular LDPC codes with low error floors

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4 Author(s)
Tao Tian ; Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA ; Jones, C. ; Villasenor, J.D. ; Wesel, R.D.

This work explains the relationship between cycles, stopping sets, and dependent columns of the parity check matrix of low-density parity-check (LDPC) codes. Furthermore, it discusses how these structures limit LDPC code performance under belief propagation decoding. A new metric called extrinsic message degree (EMD) measures cycle connectivity in bipartite graph. Using an easily computed estimate of EMD, we propose a Viterbi-like algorithm that selectively avoids cycles and increases stopping set size. This algorithm yields codes with error floors that are orders of magnitude below those of girth-conditional codes.

Published in:

Communications, 2003. ICC '03. IEEE International Conference on  (Volume:5 )

Date of Conference:

11-15 May 2003