Adaptive linear programming for decoding LDPC codes

A Sarıduman, AE Pusane… - 2014 22nd Signal …, 2014 - ieeexplore.ieee.org
2014 22nd Signal Processing and Communications Applications …, 2014ieeexplore.ieee.org
When linear programming is used to decode low-density parity-check (LDPC) codes, the
outcome is a codeword or a pseudocodeword that contains fractional symbol values. It is
possible to make pseudocodewords infeasible and increase the performance of linear
programming decoders by generating redundant parity check equations. In this paper,
redundant parity check equations that can eliminate pseudocodewords are searched using
an integer programming based optimization approach. We show that the generated parity …
When linear programming is used to decode low-density parity-check (LDPC) codes, the outcome is a codeword or a pseudocodeword that contains fractional symbol values. It is possible to make pseudocodewords infeasible and increase the performance of linear programming decoders by generating redundant parity check equations. In this paper, redundant parity check equations that can eliminate pseudocodewords are searched using an integer programming based optimization approach. We show that the generated parity check equations increase the performance of the adaptive linear programming decoder and that its performance can converge that of a maximum-likelihood decoder.
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