Nonbinary LDPC Code Decoder Architecture With Efficient Check Node Processing

2012 ◽  
Vol 59 (6) ◽  
pp. 381-385 ◽  
Author(s):  
Kai He ◽  
Jin Sha ◽  
Zhongfeng Wang
2021 ◽  
Vol 37 (2) ◽  
pp. 91-106
Author(s):  
The Cuong Dinh ◽  
Huyen Pham Thi ◽  
Hung Dao Tuan ◽  
Nghia Pham Xuan

Nonbinary low-density-parity-check (NB-LDPC) code outperforms their binary counterpart in terms of error-correcting performance and error-floor property when the code length is moderate. However, the drawback of NB-LDPC decoders is high complexity and the complexity increases considerably when increasing the Galois-field order. In this paper, an One-Minimum-Only basic-set trellis min-max (OMO-BS-TMM) algorithm and the corresponding decoder architecture are proposed for NBLDPC codes to greatly reduce the complexity of the check node unit (CNU) as well as the whole decoder. In the proposed OMO-BS-TMM algorithm, only the first minimum values are used for generating the check node messages instead of using both the first and second minimum values, and the number of messages exchanged between the check node and the variable node is reduced in comparison with the previous works. Layered decoder architectures based on the proposed algorithm were implemented for the (837, 726) NB-LDPC code over GF(32) using 90-nm CMOS technology. The implementation results showed that the OMO-BS-TMM algorithm achieves the almost similar error-correcting performance, and a reduction of the complexity by 31.8% and 20.5% for the whole decoder, compared to previous works. Moreover, the proposed decoder achieves a higher throughput at 1.4 Gbps, compared with the other state-of-the-art NBLDPC decoders.


Electronics ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 516
Author(s):  
Tram Thi Bao Nguyen ◽  
Tuy Nguyen Tan ◽  
Hanho Lee

This paper presents a pipelined layered quasi-cyclic low-density parity-check (QC-LDPC) decoder architecture targeting low-complexity, high-throughput, and efficient use of hardware resources compliant with the specifications of 5G new radio (NR) wireless communication standard. First, a combined min-sum (CMS) decoding algorithm, which is a combination of the offset min-sum and the original min-sum algorithm, is proposed. Then, a low-complexity and high-throughput pipelined layered QC-LDPC decoder architecture for enhanced mobile broadband specifications in 5G NR wireless standards based on CMS algorithm with pipeline layered scheduling is presented. Enhanced versions of check node-based processor architectures are proposed to improve the complexity of the LDPC decoders. An efficient minimum-finder for the check node unit architecture that reduces the hardware required for the computation of the first two minima is introduced. Moreover, a low complexity a posteriori information update unit architecture, which only requires one adder array for their operations, is presented. The proposed architecture shows significant improvements in terms of area and throughput compared to other QC-LDPC decoder architectures available in the literature.


2021 ◽  
Vol 336 ◽  
pp. 02023
Author(s):  
Runlu Tian ◽  
Kexian Gong ◽  
Peng Sun ◽  
Zhongyong Wang ◽  
Mengke Ren

Frame synchronization word (FSW) is an important basis in signal synchronization detection. In our work, the joint design of frame synchronization words and error correcting code are proposed which through regularly distributing the frame synchronization words among the information bits to improve the decoding performance of the LDPC. Frame synchronization word should be added to the information sequence corresponding to the position with the check matrix larger column weight which can guarantee that more Frame synchronization words are received by the check node in the decoding iteration. The frame synchronization word is known to the receiver which play an important role in decoding iteration. The results of simulation show that the algorithm makes an obvious improvement in decoding performance when the signal-noise ratio (SNR) is lower than 1 dB.


2020 ◽  
Vol 9 (01) ◽  
pp. 12-19
Author(s):  
Huyen Thi Pham ◽  
Hung Tuan Dao ◽  
Nghia Xuan Pham

Abstract— Nonbinary low-density-parity-check (NB-LDPC) code outperforms their binary counterpart in terms of error correcting performance and error-floor property when the code length is moderate. However, the drawback of NB-LDPC decoders is high complexity and the complexity increases considerably when increasing the Galois-field order. In this paper, a simplified basic-set trellis min-max (sBS-TMM) algorithm that is especially efficient for high-order Galois Fields, is proposed for the variable node processing to reduce the complexity of the variable node unit (VNU) as well as the whole decoder. The decoder architecture corresponding to the proposed algorithm is designed for the (837, 726) NB-LDPC code over GF(32). The implementation results using 90-nm CMOS technology show that the proposed decoder architecture reduces the gate count by 21.35% and 9.4% with almost similar error-correcting performance, compared to the up-to-date works.Tóm tắt— Các mã LDPC phi nhị phân (NB-LDPC) vượt trội so với các mã LDPC nhị phân về chất lượng sửa lỗi và thuộc tính lỗi san bằng khi chiều dài là trung bình. Tuy nhiên, nhược điểm của các bộ giải mã NB-LDPC là tính phức tạp cao và độ phức tạp tăng đáng kể khi bậc của trường Galois cao. Trong bài báo này, thuật toán Trellis Min-Max dựa trên tập cơ sở được đơn giản hóa được đề xuất cho xử lý nốt biến mà hiệu quả cho các trường Galois bậc cao để giảm độ phức tạp của khối nốt biến (VNU) cũng như cả bộ giải mã. Kiến trúc bộ giải mã tương ứng với thuật toán đề xuất được thiết kế cho mã NB-LDPC (837, 726) thông qua trường GF(32). Các kết quả thực hiện sử dụng công nghệ CMOS 90-nm chỉ ra rằng kiến trúc bộ giải mã được đề xuất giảm số lượng cổng logic 21,35% và 9,4% với chất lượng sửa lỗi gần như không thay đổi so với các nghiên cứu gần đây.


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