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Adaptive linear programming (ALP) decoders are mainly used for decoding low-density parity-check (LDPC) codes. The principle of ALP decoders is based on generating redundant-parity check equations, which could eliminate fractional solutions of linear programming (LP) decoders. These generated redundant parity check equations increase the error rate performance of decoder. In this paper, LP model is...
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...
Near codewords of low-density parity-check (LDPC) codes are known to be one of the main reasons of errors that occur in decoding. For high signal-to-noise ratios, these codewords cause error floors in decoding and they are called trapping sets. Especially, trapping sets with small size devastate the performance of communication systems that use LDPC codes. Unfortunately, trapping sets are difficult...
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