• Journal of the Institute of Electronics and Information Engineers
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• v.53 no.4
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• pp.48-58
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• 2016

This paper presents the high-throughput fully-parallel architecture for GF(64) (160,80) regular (2,4) non-binary LDPC (NB-LDPC) codes decoder based on the extended min sum algorithm. We exploit the NB-LDPC code that features a very low check node and variable node degree to reduce the complexity of decoder. This paper designs the fully-parallel architecture and allows the interleaving check node and variable node to increase the throughput of the decoder. We further improve the throughput by the proposed early sorting to reduce the latency of the check node operation. The proposed decoder has the latency of 37 cycles in the one decoding iteration and achieves a high throughput of 1402Mbps at 625MHz.

• Journal of Communications and Networks
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• v.17 no.4
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• pp.339-345
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• 2015

In this paper, we present an iterative reliability-based modified majority-logic decoding algorithm for two classes of structured low-density parity-check codes. Different from the conventional modified one-step majority-logic decoding algorithms, we design a turbo-like iterative strategy to recover the performance degradation caused by the simply flipping operation. The main computational loads of the presented algorithm include only binary logic and integer operations, resulting in low decoding complexity. Furthermore, by introducing the iterative set, a very small proportion (less than 6%) of variable nodes are involved in the reliability updating process, which can further reduce the computational complexity. Simulation results show that, combined with the factor correction technique and a well-designed non-uniform quantization scheme, the presented algorithm can achieve a significant performance improvement and a fast decoding speed, even with very small quantization levels (3-4 bits resolution). The presented algorithm provides a candidate for trade-offs between performance and complexity.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.39A no.3
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• pp.127-139
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• 2014

In this paper, we present two signal processing techniques for designing binary error correction codes for Multi-Level Cell(MLC) NAND flash memory. MLC NAND flash memory saves the non-binary symbol at each cell and shows asymmetric channel LLR l-density which makes it difficult to design soft-decision binary error correction codes such as LDPC codes and Polar codes. Therefore, we apply density mirroring and EM algorithm for approximating the MLC NAND flash memory channel to the binary-input memoryless channel. The density mirroring processes channel LLRs to satisfy roughly all-zero codeword assumption, and then EM algorithm is applied to l-density after density mirroring for approximating it to mixture of symmetric Gaussian densities. These two signal processing techniques make it possible to use conventional code design algorithms, such as density evolution and EXIT chart, for MLC NAND flash memory channel.