Burst Error Identification Method for LDPC Coded Systems

In this work, we propose an erasure aware technique to mitigate the detrimental effects of the burst error in a low density parity check(LDPC) coded system. First, we generate the estimated error pattern based on tentative decision over the received symbols and parity check matrix, via computing the total number of unsatisfied check equations for each variable node. Second, we determine the occurrence of burst errors based on the weight of error pattern, and identify the position and length of the burst error using a sliding window search method. Furthermore, the closed-form expressions of the detection probability and false alarm probability for burst error detection was derived. Finally, numerical and simulation results demonstrated that the proposed erasure-aware technique based on estimated or empirically determined threshold achieves significant performance gain over the conventional erasure-agnostic one.