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Iran Workshop on Communication and Information Theory (IWCIT)

An iterative bit flipping based decoding algorithm for LDPC codes

Sajjad Imani, Reza Shahbazian, Seyed Ali Ghorashi

Published May 1, 2015• 1 citation
Publisher

Abstract

In this paper a new decoding algorithm for low density parity check (LDPC) codes based on bit flipping (BF) is proposed. In the proposed algorithm, the BF criterion benefits the data correlation between the decoded and received signal in current and previous stages. The proposed algorithm also degrades the decoding probability of one code word to another one in the same codebook. Simulation results confirm our theoretical formulation and show a good enhancement in code error rate and bit error rate of the proposed decoding algorithm compared to the conventional ones.

DOI
10.1109/iwcit.2015.7140214

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In this paper a new decoding algorithm for low density parity check (LDPC) codes based on bit flipping (BF) is proposed. In the proposed algorithm, the BF criterion benefits the data correlation between the decoded and received signal in current and previous stages. The proposed algorithm also degrades the decoding probability of one code word to another one in the same codebook. Simulation results confirm our theoretical formulation and show a good enhancement in code error rate and bit error rate of the proposed decoding algorithm compared to the conventional ones.
An improved iterative bit-flipping(BF) algorithm adapted for decoding low-density parity-check(LDPC) codes is proposed to improve the performance of the hard-decision BF decoding algorithm.The new algorithm uses an alternating threshold pattern to determine the bits whether to be flipped or not,and the flipping error probability is effectively decreased.Simulation results show that compared with BF algorithm,the improved BF algorithm improves both the error-correction performance and the convergence speed while maintaining the low computational complexity.
In this paper, a new method for improving hard-decision bit-flipping (BF) decoding is proposed for low-density parity-check codes. The flipping criterion is derived theoretically from the soft-decision belief-propagation decoding algorithm. The proposed BF decoding algorithm is channel independent and is improved by introducing a more efficient method for computing the reliability of the parity checks. Extensive simulations are provided to demonstrate the efficiency of the proposed algorithm. Simulation results show that the proposed algorithm can achieve about 1.5dB coding gain improvement at BER = 5×10−6while reducing up to 48% iterations for decoding and maintaining low decoding complexity, compared with the conventional weighted BF algorithm.
A new class of iterative bit flipping (BF) decoding algorithms adapted for low-density parity check (LDPC) convolutional codes is proposed. Compared with Gallager's original BF algorithm, the new BF algorithms improve both the coding gain and the error correction speed. At a bit error rate (BER) of 10 , the best of the new bit-flipping algorithms achieves, after only 6 iterations and with much simpler decoding hardware, a coding gain within 3.5 dB of that of the conventional min-sum belief propagation decoding algorithm.
A novel bit-flipping (BF) algorithm with low complexity for high-throughput decoding of low-density parity-check (LDPC) codes is presented. At each iteration, a novel threshold pattern is used to determine the code bits whether to be flipped or not, and the flipping error probability is effectively decreased. Compared with the weighted BF algorithm and its modifications, the modified BF algorithm has significantly lower complexity and decoding time. Through simulations the proposed BF algorithm is shown to achieve excellent performance and fast convergence speed while maintaining significantly low complexity thus facilitating high-throughput decoding.
An improved bit-flipping(BF) algorithm with low complexity for decoding structured low-density parity-check codes(LDPC) is proposed to improve the performance of the hard-decision BF algorithm.The hard-decision bits are divided into two groups based on the magnitudes of the received symbols,and at each iteration,the proposed algorithm can flip more than one bit with using two thresholds,and the flipping error probability is effectively decreased.The improved BF algorithm requires some real number comparisons before iterations and requires only logical operations during the iterations.Compared with the weighted bit-flipping algorithm and its modifications,the new method is with significantly lower complexity.Simulations show that the proposed algorithm is provided with very fast convergence speed and excellent performance with significantly low complexity.