Comparison of corrective codes of LDPC errors and polar codes in one channel of NAND MLC flash memory

Authors

DOI:

https://doi.org/10.29105/ingenierias27.97-957

Keywords:

Polar code, LDPC, flash memory channel, ECC, BAC

Abstract

Among the error correction codes extensively studied in scientific literature are the Low-Density Parity-Check (LDPC) codes and polar codes. Both encoding schemes also serve as effective tools in wireless technologies such as 5G. To address bit errors in NAND MLC flash memories, the Asymmetric Binary Channel (BAC) model is proposed, taking into account the asymmetry present in these errors. This study compares the average error probability vs. signal-to-noise ratio of LDPC codes and polar codes for a BAC channel model of NAND MLC flash memories, based on the Beta-Binomial probability distribution. For this channel model, an average error probability of 6.2 X 10-3 is obtained for LDPC codes after 10,000 programming and erasing cycles, while for polar codes it is 5.6 X 10-3.

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Author Biographies

Harairis Brunet Cesar, Universidad Autónoma de Nuevo León

Engineer in Telecommunications and Electronics in 2009 at the Universidad Tecnológica de La Habana. Master's student in Electrical Engineering Science at FIME, Universidad Autónoma de Nuevo León.

José Ramón Rodríguez Cruz, Universidad Autónoma de Nuevo León

He obtained the Master of Science in Electrical Engineering in 1995 from the University of Texas at Arlington and the Doctorate in Science in Electrical Engineering in 2000 from CINVESTAV-IPN. He was a full-time professor at ITESM from 2001 to 2011 and since then he has been a full professor A at the FIME of the UANL.

Miguel Angel Platas Garza, Universidad Autónoma de Nuevo León

Engineer in Electronics and Automation from the Universidad Autónoma de Nuevo León. Subsequently, at this same institution he received the degree of Master of Science and Doctorate in Electrical Engineering in 2008 and 2011, respectively. He is a member of the Mexican System of Researchers. It has a Prodep profile.

Ernesto Zambrano Serrano , Universidad Autónoma de Nuevo León

Doctor in Control and Dynamic Systems from IPICYT (2017). In 2018, he completed a postdoctoral stay at the FCE-BUAP. From 2019 to 2021, he completed a postdoctoral stay at FIME-UANL. He is currently a professor at FIME-UANL, member of SNI-CONAHCYT and the Mexican Association of Dynamic Systems and Complexity.

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Published

2024-07-25

How to Cite

Brunet Cesar, H., Rodríguez Cruz, J. R., Platas Garza, M. A., & Zambrano Serrano , E. (2024). Comparison of corrective codes of LDPC errors and polar codes in one channel of NAND MLC flash memory. Revista Ingenierías, 27(97), 28–42. https://doi.org/10.29105/ingenierias27.97-957

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