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Radio and communications technology

Research on LDPC Decoding Based on Modified Min-sum Algorithm

Mei Jin-jie

Published Jan 1, 2012• 1 citation
OpenAlex

Abstract

In order to make up for the performance defects of Min-sum decoding algorithm relative to LLR BP decoding algorithm and reduce implementation complexity of LLR-BP algorithm,a modified Min-sum decoding algorithm is proposed.When the check nodes process the message,parameters of the proposed algorithm are confirmed according to minimum mean square error rule,and the normalized BP-based decoding algorithm and the offset BP-based decoding algorithm are integrated effectively.At the same time,we introduce the correction factor and the offset factor into this algorithm reasonably.The simulation results show that decoding performance of modified Min-sum decoding algorithm is more effective than that of Min-sum decoding algorithm,normalized BP-based decoding algorithm and offset BP-based decoding algorithm under the same condition of bit error rate,and it approaches to the performance of LLR-BP decoding algorithm.

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In order to make up for the performance defects of Min-sum decoding algorithm relative to LLR BP decoding algorithm and reduce implementation complexity of LLR-BP algorithm,a modified Min-sum decoding algorithm is proposed.When the check nodes process the message,parameters of the proposed algorithm are confirmed according to minimum mean square error rule,and the normalized BP-based decoding algorithm and the offset BP-based decoding algorithm are integrated effectively.At the same time,we introduce the correction factor and the offset factor into this algorithm reasonably.The simulation results show that decoding performance of modified Min-sum decoding algorithm is more effective than that of Min-sum decoding algorithm,normalized BP-based decoding algorithm and offset BP-based decoding algorithm under the same condition of bit error rate,and it approaches to the performance of LLR-BP decoding algorithm.
In order to make up for the performance defects of UMP BP-Based decoding algorithm relative to LLR BP decoding algorithm, a modified UMP BP-Based decoding algorithm is proposed. Parameters of the proposed algorithm are confirmed according to minimum mean square error rule and it has the generality for decoding of all LDPC codes. The simulation results show that the LDPC decoding performance of modified UMP BP-Based decoding algorithm is more effective than that of UMP BP-Based decoding algorithm, Normalized BP-Based decoding algorithm and Offset BP-Based decoding algorithm under the same condition of bit error rate.
In order to make up for the performance defects of UMP BP-Based decoding algorithm relative to LLR BP decoding algorithm,this paper proposed a modified decoding algorithm.Parameters of the proposed algorithm which combined the advantage of Normalized BP-Based decoding algorithm and Offset BP-Based decoding algorithm were calculated according to minimum mean square error rule.The simulation results show that the LDPC decoding performance of modified UMP BP-Based decoding algorithm is more effective than that of UMP BP-Based decoding algorithm,Normalized BP-Based decoding algorithm and Offset BP-Based decoding algorithm under the same condition of bit error rate.
In this paper, a modified min-sum decoding algorithm based on classified correction is proposed for low density parity check (LDPC) codes. Different from the single correction in the normalized belief propagation (BP)-based and offset BP-based algorithms [4], the proposed algorithm utilizes two corrections for both minimum and sub-minimum magnitudes of input messages in check nodes. These two correction factors can be obtained by analyzing the offset of updated messages in check nodes between the BP and the min-sum algorithms associated with check node degree. Simulation results show that the proposed algorithm can achieve performance very close to that of the BP algorithm. Furthermore, the FPGA implementation of this algorithm can reach a throughput of 200 Mbps at BER=10-6with lower complexity and fewer resources than the BP algorithm.
A check node degree-based modified min-sum algorithm which classifies the codes was developed to reduce the complexity and improve the performance of decoding algorithm for low-density parity-check(LDPC) codes.The algorithm corrects both the minimum and sub-minimum absolute values of incoming messages in the check nodes.Two correction factors are obtained by calculating the offset between the belief propagation(BP) algorithm and the min-sum algorithm based on the check node degree.Simulations show that the algorithm achieves better performance than the BP algorithm at high signal noise ratio.The algorithm is also less complex than the BP algorithm and provides a good tradeoff between performance and complexity for any check node degree distribution in the LDPC codes.
In this paper a modified Offset Min-Sum decoding algorithm for Low-Density Parity Check Codes is presented. In this modified algorithm, the offset factor in the original Offset Min-Sum algorithm is adjusted iteratively with the assistance of the check-node computation outputs of the Normalized Min-Sum algorithm. As a result, the offset factor in our modified algorithm can be calculated adaptively and more efficiently according to the previous decoding procedure, which can minimize the decoding degradation compared with the Belief Propagation decoding algorithm. The simulation results show that, compared with the original Offset Min-Sum decoding algorithm, our modified algorithm can achieve noticeable performance improvement with minor extra hardware complexity. For example, when BER is 10−5, our algorithm can achieve 0.1dB and 0.2dB decoding gain over Offset Min-Sum algorithm for regular and irregular LDPC codes respectively.
A modified Min-Sum algorithm for low-density parity check codes is proposed in this paper. The inaccurate check node messages of the Min-Sum algorithm compared to the belief propagation (BP) algorithm are compensated by modified variable node messages, which is different from the normalized Min-Sum algorithm. The modified factor is obtained before decoding program and only one extra multiplication is needed in one cycle. So the increased complexity is fairly low. The simulation results show that the bit error rate (BER) and average number of iteration of the modified Min-Sum algorithm are very close to the BP algorithm, the modified algorithm can improve the BER performance compared to the Min-Sum algorithm while added complexity slightly.