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Sensors 2018, 18(1), 236; https://doi.org/10.3390/s18010236

Sum of the Magnitude for Hard Decision Decoding Algorithm Based on Loop Update Detection

College of Information & Communication Engineering, Harbin Engineering University, Harbin 150001, China
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Received: 8 November 2017 / Revised: 10 January 2018 / Accepted: 14 January 2018 / Published: 15 January 2018
(This article belongs to the Special Issue Green Wireless Networks in 5G-inspired Applications)
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Abstract

In order to improve the performance of non-binary low-density parity check codes (LDPC) hard decision decoding algorithm and to reduce the complexity of decoding, a sum of the magnitude for hard decision decoding algorithm based on loop update detection is proposed. This will also ensure the reliability, stability and high transmission rate of 5G mobile communication. The algorithm is based on the hard decision decoding algorithm (HDA) and uses the soft information from the channel to calculate the reliability, while the sum of the variable nodes’ (VN) magnitude is excluded for computing the reliability of the parity checks. At the same time, the reliability information of the variable node is considered and the loop update detection algorithm is introduced. The bit corresponding to the error code word is flipped multiple times, before this is searched in the order of most likely error probability to finally find the correct code word. Simulation results show that the performance of one of the improved schemes is better than the weighted symbol flipping (WSF) algorithm under different hexadecimal numbers by about 2.2 dB and 2.35 dB at the bit error rate (BER) of 10−5 over an additive white Gaussian noise (AWGN) channel, respectively. Furthermore, the average number of decoding iterations is significantly reduced. View Full-Text
Keywords: 5G; non-binary LDPC; hard decision decoding; reliability; loop detection; sum of magnitude 5G; non-binary LDPC; hard decision decoding; reliability; loop detection; sum of magnitude
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Meng, J.; Zhao, D.; Tian, H.; Zhang, L. Sum of the Magnitude for Hard Decision Decoding Algorithm Based on Loop Update Detection. Sensors 2018, 18, 236.

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