Estimation of Bit and Frame Error Rates of Low-Density Parity-Check Codes on Binary Symmetric Channels

dc.creatorXiao, Hua
dc.creatorBanihashemi, Amir H.
dc.date2006-12-03
dc.date2007-01-31
dc.date.accessioned2026-07-07T08:16:51Z
dc.date.available2026-07-07T08:16:51Z
dc.descriptionA method for estimating the performance of low-density parity-check (LDPC) codes decoded by hard-decision iterative decoding algorithms on binary symmetric channels (BSC) is proposed. Based on the enumeration of the smallest weight error patterns that can not be all corrected by the decoder, this method estimates both the frame error rate (FER) and the bit error rate (BER) of a given LDPC code with very good precision for all crossover probabilities of practical interest. Through a number of examples, we show that the proposed method can be effectively applied to both regular and irregular LDPC codes and to a variety of hard-decision iterative decoding algorithms. Compared with the conventional Monte Carlo simulation, the proposed method has a much smaller computational complexity, particularly for lower error rates.
dc.description15 pages, 5 figures, submitted to IEEE Transactions on Communications on Apr. 24, 2006, revised on Oct. 31, 2006 and Jan. 30, 2007
dc.identifierhttps://arxiv.org/abs/cs/0612011
dc.identifierhttp://arxiv.org/abs/cs/0612011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133929
dc.subjectInformation Theory
dc.titleEstimation of Bit and Frame Error Rates of Low-Density Parity-Check Codes on Binary Symmetric Channels
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