Decoding of NB-LDPC codes over Subfields

Wijekoon, V. B.; Viterbo, Emanuele; Hong, Yi

doi:10.1109/tcomm.2020.3036073

Cited by 3 publications

(1 citation statement)

References 24 publications

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“…68 Gb/s. The work in [343] investigated the decoding of nonbinary LDPC codes over subfields by adopting the method of expanding a non-binary Tanner graph over a finite field into a graph over a subfield, resulting in a reduction of decoding complexity. Moreover, the analysis of the trapping set and absorbing set for non-binary protograph LDPC codes is investigated in [344].…”

Section: J Decoding Of Non-binary Ldpc Codesmentioning

confidence: 99%

Channel Coding Toward 6G: Technical Overview and Outlook

Rowshan,

Qiu,

Xie

et al. 2024

IEEE Open J. Commun. Soc.

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Channel coding plays a pivotal role in ensuring reliable communication over wireless channels. With the growing need for ultra-reliable communication in emerging wireless use cases, the significance of channel coding has amplified. Furthermore, minimizing decoding latency is crucial for critical-mission applications, while optimizing energy efficiency is paramount for mobile and the Internet of Things (IoT) communications. As the fifth generation (5G) of mobile communications is currently in operation and 5G-advanced is on the horizon, the objective of this paper is to assess prominent channel coding schemes in the context of recent advancements and the anticipated requirements for the sixth generation (6G). In this paper, after considering the potential impact of channel coding on key performance indicators (KPIs) of wireless networks, we review the evolution of mobile communication standards and the organizations involved in the standardization, from the first generation (1G) to the current 5G, highlighting the technologies integral to achieving targeted KPIs such as reliability, data rate, latency, energy efficiency, spectral efficiency, connection density, and traffic capacity. Following this, we delve into the anticipated requirements for potential use cases in 6G. The subsequent sections of the paper focus on a comprehensive review of three primary coding schemes utilized in past generations and their recent advancements: lowdensity parity-check (LDPC) codes, turbo codes (including convolutional codes), and polar codes (alongside Reed-Muller codes). Additionally, we examine alternative coding schemes like Fountain codes (also known as rate-less codes), sparse regression codes, among others. Our evaluation includes a comparative analysis of error correction performance and the performance of hardware implementation for these coding schemes, providing insights into their potential and suitability for the upcoming 6G era. Lastly, we will briefly explore considerations such as higher-order modulations and waveform design, examining their contributions to enhancing key performance indicators in conjunction with channel coding schemes.

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Section: J Decoding Of Non-binary Ldpc Codesmentioning

confidence: 99%

Channel Coding Toward 6G: Technical Overview and Outlook

Rowshan,

Qiu,

Xie

et al. 2024

IEEE Open J. Commun. Soc.

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Momentum-Based Symbol Flipping Decoding Algorithms for Non-Binary LDPC Codes

Zhao

Jiao

et al. 2023

IEEE Trans. Veh. Technol.

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Design of Nonbinary LDPC Cycle Codes with Large Girth from Circulants and Finite Fields

Gao

et al. 2021

Wireless Communications and Mobile Computing

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In this paper, we study a class of nonbinary LDPC (NBLDPC) codes whose parity-check matrices have column weight 2, called NBLDPC cycle codes. We propose a design framework of 2 , ρ -regular binary quasi-cyclic (QC) LDPC codes and then construct NBLDPC cycle codes of large girth based on circulants and finite fields by randomly choosing the nonzero field elements in their parity-check matrices. For enlarging the girth values, our approach is twofold. First, we give an exhaustive search of circulants with column/row weight ρ and design a masking matrix with good cycle distribution based on the edge-node relation in undirected graphs. Second, according to the designed masking matrix, we construct the exponent matrix based on finite fields. The iterative decoding performances of the constructed codes on the additive white Gaussian noise (AWGN) channel are finally provided.

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Decoding of NB-LDPC codes over Subfields

Cited by 3 publications

References 24 publications

Channel Coding Toward 6G: Technical Overview and Outlook

Channel Coding Toward 6G: Technical Overview and Outlook

Momentum-Based Symbol Flipping Decoding Algorithms for Non-Binary LDPC Codes

Design of Nonbinary LDPC Cycle Codes with Large Girth from Circulants and Finite Fields

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