Verification-based decoding (VBD) is a simple yet powerful iterative (IT) decoding technique for codes operating on packets (vector-symbols) and channels that introduce packetwise errors. An example is given by the q-ary symmetric channel (qSC) for which a simple improvement of the VBD algorithm is proposed. It consists of performing a Gaussian elimination (GE)-based erasure decoding stage whenever VBD fails, i.e., whenever beta > 0 packets remain unverified. The modified decoder may recover the beta unverified packets with a complexity of O(beta(exp 3)) by making use of the inherent code structure. Numerical results on low-density parity-check (LDPC) codes and analytical expressions for the block error probability of linear random block codes show the benefit of the proposed algorithm.

B. Matuz, G. Liva, E. Paolini, M. Chiani (2013). Verification-Based Decoding with MAP Erasure Recovery. Berlino : VDE VERLAG GMBH.

Verification-Based Decoding with MAP Erasure Recovery

PAOLINI, ENRICO;CHIANI, MARCO
2013

Abstract

Verification-based decoding (VBD) is a simple yet powerful iterative (IT) decoding technique for codes operating on packets (vector-symbols) and channels that introduce packetwise errors. An example is given by the q-ary symmetric channel (qSC) for which a simple improvement of the VBD algorithm is proposed. It consists of performing a Gaussian elimination (GE)-based erasure decoding stage whenever VBD fails, i.e., whenever beta > 0 packets remain unverified. The modified decoder may recover the beta unverified packets with a complexity of O(beta(exp 3)) by making use of the inherent code structure. Numerical results on low-density parity-check (LDPC) codes and analytical expressions for the block error probability of linear random block codes show the benefit of the proposed algorithm.
2013
Proceedings of 2013 9th International ITG Conference on Systems, Communication and Coding (SCC)
1
6
B. Matuz, G. Liva, E. Paolini, M. Chiani (2013). Verification-Based Decoding with MAP Erasure Recovery. Berlino : VDE VERLAG GMBH.
B. Matuz; G. Liva; E. Paolini; M. Chiani
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/191351
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