TY - GEN
T1 - Iterative approximate linear programming decoding of LDPC codes with linear complexity
AU - Burshtein, David
PY - 2008
Y1 - 2008
N2 - The problem of low complexity linear programming (LP) decoding of low-density parity-check (LDPC) codes is considered. An iterative algorithm for efficient approximate solution of this problem was proposed by Vontobel and Koetter. In this paper the convergence rate and computational complexity of this algorithm are studied. In particular we are interested in obtaining a feasible vector in the LP decoding problem, with objective function value whose distance to the minimum, normalized by the block length, can be made arbitrarily small. It is shown that such a feasible vector can be obtained in linear, in the block length, computational complexity. Combined with previous results, that have shown that the LP decoder can correct some fixed fraction of errors, we conclude that this error correction can be achieved with linear computational complexity.
AB - The problem of low complexity linear programming (LP) decoding of low-density parity-check (LDPC) codes is considered. An iterative algorithm for efficient approximate solution of this problem was proposed by Vontobel and Koetter. In this paper the convergence rate and computational complexity of this algorithm are studied. In particular we are interested in obtaining a feasible vector in the LP decoding problem, with objective function value whose distance to the minimum, normalized by the block length, can be made arbitrarily small. It is shown that such a feasible vector can be obtained in linear, in the block length, computational complexity. Combined with previous results, that have shown that the LP decoder can correct some fixed fraction of errors, we conclude that this error correction can be achieved with linear computational complexity.
UR - http://www.scopus.com/inward/record.url?scp=52349083204&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2008.4595237
DO - 10.1109/ISIT.2008.4595237
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AN - SCOPUS:52349083204
SN - 9781424422579
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1498
EP - 1502
BT - Proceedings - 2008 IEEE International Symposium on Information Theory, ISIT 2008
T2 - 2008 IEEE International Symposium on Information Theory, ISIT 2008
Y2 - 6 July 2008 through 11 July 2008
ER -