Article
Engineering, Electrical & Electronic
Chieh-Fang Teng, An-Yeu (Andy) Wu
Summary: Polar codes have been chosen for 5G communications due to their capacity-achieving abilities and low complexity, with belief propagation (BP) as the decoding algorithm. While BP decoding has worse error performance than CRC-aided successive cancellation list (CA-SCL), CNN-BF has been introduced to improve error rates and decoding latency. A new CNN-Tree-MBF mechanism is proposed in this work to explore multiple-bits BF, reducing flipping attempts by 89% and achieving comparable BLER as CA-SCL.
IEEE TRANSACTIONS ON SIGNAL PROCESSING
(2021)
Article
Engineering, Electrical & Electronic
Avi Caciularu, Nir Raviv, Tomer Raviv, Jacob Goldberger, Yair Be'ery
Summary: This paper discusses the importance of error correction codes in communication applications, proposes a data-driven framework for permutation selection, and achieves significant improvements.
IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS
(2021)
Article
Computer Science, Information Systems
Diogo Cruz, Francisco A. Monteiro, Bruno C. Coutinho
Summary: This paper investigates the construction and decoding methods for quantum error correction codes (QECCs) that can achieve the maximum performance in the finite blocklength regime. By extending the classical decoding strategy called GRAND to quantum systems, efficient decoding of QECCs is achieved. Furthermore, a quantum-GRAND algorithm is proposed that utilizes quantum noise statistics to enable adaptive code membership testing and efficient syndrome decoding.
Article
Engineering, Electrical & Electronic
Marvin Geiselhart, Ahmed Elkelesh, Moustafa Ebada, Sebastian Cammerer, Stephan ten Brink
Summary: RM codes are known for their good maximum likelihood performance in the short block-length regime, but finding a low complexity soft-input decoding scheme remains an open problem. We have presented a versatile decoding architecture for RM codes based on their rich automorphism group, which can be seen as a generalization of multiple-bases belief propagation.
IEEE TRANSACTIONS ON COMMUNICATIONS
(2021)
Article
Computer Science, Information Systems
Jian Gao, Dexin Zhang, Jincheng Dai, Kai Niu, Chao Dong
Summary: This letter introduces a ResNet-like BP architecture and applies trainable damping factors to enhance standard polar BP decoding, showing improved error correction performance and accelerated convergence.
IEEE WIRELESS COMMUNICATIONS LETTERS
(2021)
Review
Telecommunications
Ahmet Cagri Arli, Orhan Gazi
Summary: This article discusses the potential of using polar codes as forward error correction technology in 5G wireless communication systems, along with belief propagation based decoding methods, and explores topics such as simplifying decoders, early detection, and scheduling.
CHINA COMMUNICATIONS
(2021)
Article
Telecommunications
Shangpeng Deng, Zhiyuan Xiao, Jin Sha, Zhongfeng Wang
Summary: This letter proposes an adaptive Chase-Pyndiah algorithm to improve the error correction performance of Turbo Product Codes (TPCs) with negligible complexity increase. The algorithm adaptively adjusts the weighting factor and reliability factor based on the analog weight of the decision codeword for a component code. Simulation results demonstrate that the proposed algorithm achieves a signal-to-noise ratio (SNR) gain of 0.16 to 0.18 dB at a bit-error-rate (BER) of 10(-6) over additive white Gaussian noise (AWGN) channels.
IEEE COMMUNICATIONS LETTERS
(2023)
Article
Engineering, Electrical & Electronic
Mingyang Zhu, Ming Jiang, Chunming Zhao
Summary: This paper proposes a modified adaptive belief propagation (ABP) algorithm, called the random ABP (R-ABP) algorithm, for decoding short channel codes used in 5G NR wireless systems. By incorporating the cyclic redundancy check (CRC) bits into the iterative R-ABP decoding, the error correction performance can be improved while maintaining error detection capability through a proposed threshold-based acceptance criterion. The simulation results demonstrate that the proposed algorithm outperforms existing decoding algorithms for 5G LDPC and polar codes.
IEEE TRANSACTIONS ON COMMUNICATIONS
(2022)
Article
Computer Science, Information Systems
Nikolas P. Breuckmann, Vivien Londe
Summary: In this study, we construct and analyze a family of low-density parity check (LDPC) quantum codes with a linear encoding rate and distance scaling. We propose efficient decoding schemes based on tessellations of closed, four-dimensional, hyperbolic manifolds. Our contribution lies in the construction of suitable manifolds using finite presentations of Coxeter groups and their linear representations over Galois fields. We establish a lower bound on the encoding rate and show its tightness for the constructed examples. Numerical simulations indicate that parallelizable decoding schemes with low computational complexity achieve high performance, even in the presence of syndrome noise.
IEEE TRANSACTIONS ON INFORMATION THEORY
(2022)
Article
Engineering, Electrical & Electronic
Yusha Liu, Luping Xiang, Robert G. Maunder, Lie-Liang Yang, Lajos Hanzo
Summary: Reduced-complexity hybrid detection and decoding (HDD) schemes are proposed for improving the performance of Turbo-coded Sparse Code Multiple Access (SCMA) by analysing EXIT charts. These schemes outperform state-of-the-art joint detector and decoder (JDD) while reducing system complexity. Additionally, an adaptive Turbo-coded SCMA system is introduced to enhance system throughput under favorable channel conditions and adaptable for other channel coding schemes.
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY
(2021)
Article
Telecommunications
Weigang Chen, Ting Wang, Changcai Han, Jinsheng Yang
Summary: The study introduces the use of high-rate Reed-Solomon (RS) codes as outer codes to construct LDPC-RS product codes, aiming to eliminate the error floor phenomenon of LDPC codes and effectively utilize the erasure-correction capability through a hybrid error-erasure-correction decoding algorithm for the outer code. The overall performance of product codes is enhanced by iteration between outer and inner codes.
CHINA COMMUNICATIONS
(2021)
Article
Computer Science, Information Systems
Huan Li, Jingxuan Huang, Ce Sun
Summary: This paper proposes an improved decoding algorithm for polar codes, which achieves comparable bit error ratio performance to the successive cancellation list decoding scheme while maintaining low decoding latency and high parallelism.
Article
Computer Science, Information Systems
Mummadi Swathi, Bhawana Rudra
Summary: This paper discusses the concept of asymmetric quantum error correction (AQEC) and proposes an efficient approach for AQEC with increased fidelity to 85.89% and reduced circuit depth to 48%.
Article
Computer Science, Information Systems
Daryus Chandra, Soon Xin Ng, Lajos Hanzo
Summary: This study proposes a novel quantum Turbo short-block code design that achieves multiple quantum coding rates. The design uses multiple-rate quantum short-block codes as the outer codes and a quantum unity-rate code as the inner code. Simulation results show that the proposed design performs close to the ultimate limit of the quantum hashing bound.
Article
Engineering, Electrical & Electronic
Houren Ji, Yifei Shen, Wenqing Song, Zaichen Zhang, Xiaohu You, Chuan Zhang
Summary: The paper proposed an advanced BPF (A-BPF) scheme that reduces decoding latency and improves error-correction performance with the help of a critical bit and a joint detection criterion. At the hardware level, an optimized sorting network is applied to improve area efficiency.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2021)