Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

IEEE Asia Pacific Conference on Circuits and Systems (APCCAS)

Reduced-latency scheduling scheme for min-max non-binary LDPC decoding

Xinmiao Zhang, Fang Cai

Published Dec 1, 2010• 4 citations
Publisher

Abstract

Compared to binary low-density parity-check (LDPC) codes, non-binary (NB) LDPC codes can achieve higher coding gain when the code length is moderate. On the other hand, the decoding of NB-LDPC codes is more complicated since a vector of messages instead of a single message is passed along each edge of the associated Tanner graph. Layered decoding can be employed to simplify LDPC decoding. However, there is extra latency between the decoding of layers caused by check node processing, message permutation and updating when applied to NB-LDPC codes. In this paper, a novel scheduling scheme is developed to eliminate the extra latency for the Min-max decoding of quasi-cyclic (QC) NB-LDPC codes using trellis-based check node processing. Assume that each row of sub-matrices in the parity check matrix of a QCNB-LDPC code is divided into two layers, the proposed scheme can reduce the decoding latency by a factor of around (2dc+ 5)/2dc, where dcis the check node degree. It leads to significant speedup when dcis not large. Moreover, the area overhead of the proposed scheme is less than 10%.

DOI
10.1109/apccas.2010.5774734

Related papers

Partial-parallel decoder architecture for quasi-cyclic non-binary LDPC codes

Xinmiao Zhang, Fang Cai

Non-binary low-density parity-check (NB-LDPC) codes can achieve better error-correcting performance than binary LDPC codes when the code length is moderate. For the first time, this paper proposes a partial-parallel decoder architecture based on the Min-max algorithm for quasi-cyclic NB-LDPC codes. A novel boundary tracking based scheme and corresponding architecture are developed to implement the elementary step of the check node processing. In addition, layered decoding is applied, and the hardware units are optimized to reduce the latency and area. This paper also introduces an overlapped method for the check node processing among different layers to further speed up the decoding. From complexity analysis, the proposed decoder with 5 iterations for a (837,726) code over GF(25) can easily achieve 60 Mbps throughput on ASIC devices. It is 40% more efficient than prior designs.

IEEE International Conference on Acoustics Speech and Signal Processing•Jan 1, 2010•24 citations

Reduced-complexity check node processing for non-binary LDPC decoding

Xinmiao Zhang, Fang Cai

Non-binary low-density parity-check (NB-LDPC) codes can achieve better error-correcting performance than their binary counterparts when the code length is moderate. Check node processing is one bottleneck in NB-LDPC decoding. Various techniques have been proposed to simplify the check node processing. Particularly, the computation complexity can be reduced by employing an iterative forward-backward scheme. However, this scheme requires large memory to store intermediate results. In this paper, a novel check node processing scheme and corresponding VLSI architectures are proposed for the Min-max NB-LDPC decoding. The proposed scheme first chooses a limited number of variable-to-check messages, then the check-to-variable messages to all connected variable nodes are generated independently. Employing the proposed architecture, the area requirement of the check node processing for an (837, 726) NB-LDPC code over GF (25) can be reduced to 22.5% of that of the previous work with the same processing speed and error-correcting performance.

SiPS ... design and implementation - IEEE Workshop on Signal Processing Systems•Oct 1, 2010•2 citations

Performance Analysis and Implementation for Nonbinary Quasi-Cyclic LDPC Decoder Architecture

Tony Tsang

Non-binary low-density parity check (NB-LDPC) codes are an extension of binary LDPC codes with significantly better performance.Although various kinds of low-complexity iterative decoding algorithms have been proposed, there is a big challenge for VLSI implementation of NBLDPC decoders due to its high complexity and long latency.In this brief, highly efficient check node processing scheme, which the processing delay greatly reduced, including Min-Max decoding algorithm and check node unit are proposed.Compare with previous works, less than 52% could be reduced for the latency of check node unit.In addition, the efficiency of the presented techniques is design to demonstrate for the (620, 310) NB-QC-LDPC decoder.

International Journal of Wireless & Mobile Networks•Aug 31, 2014•0 citations

Reduced-Complexity Decoder Architecture for Non-Binary LDPC Codes

Xinmiao Zhang, Fang Cai

Non-binary low-density parity-check (NB-LDPC) codes can achieve better error-correcting performance than binary LDPC codes when the code length is moderate at the cost of higher decoding complexity. The high complexity is mainly caused by the complicated computations in the check node processing and the large memory requirement. In this paper, a novel check node processing scheme and corresponding VLSI architectures are proposed for the Min-max NB-LDPC decoding algorithm. The proposed scheme first sorts out a limited number of the most reliable variable-to-check (v-to-c) messages, then the check-to-variable (c-to-v) messages to all connected variable nodes are derived independently from the sorted messages without noticeable performance loss. Compared to the previous iterative forward-backward check node processing, the proposed scheme not only significantly reduced the computation complexity, but eliminated the memory required for storing the intermediate messages generated from the forward and backward processes. Inspired by this novel c-to-v message computation method, we propose to store the most reliable v-to-c messages as “compressed” c-to-v messages. The c-to-v messages will be recovered from the compressed format when needed. Accordingly, the memory requirement of the overall decoder can be substantially reduced. Compared to the previous Min-max decoder architecture, the proposed design for a (837, 726) code overGF(25) can achieve the same throughput with only 46% of the area.

IEEE Transactions on Very Large Scale Integration (VLSI) Systems•May 12, 2010•83 citations

Efficient Partial-Parallel Decoder Architecture for Quasi-Cyclic Nonbinary LDPC Codes

Xinmiao Zhang, Fang Cai

Nonbinary low-density parity-check (NB-LDPC) codes constructed over GF(q) (q >; 2) can achieve higher coding gain than binary LDPC codes when the code length is moderate. A complete partial-parallel decoder architecture based on the Min-max algorithm is proposed for quasi-cyclic NB-LDPC codes in this paper. A novel scheme and corresponding architecture are developed to implement the elementary step of the check node processing. In our design, layered decoding is applied and only nm5) has also been synthesized on a Xilinx Virtex-2 Pro FPGA device. It can achieve a throughput of 9.30 Mbps when 15 decoding iterations are carried out.

IEEE Transactions on Circuits and Systems I Regular Papers•Nov 30, 2010•58 citations

Low-complexity Check Node Processing for Trellis Min-max Nonbinary LDPC Decoding

Huyen Pham Thi, Dao Tuan Hung, Le Dinh Trang Dang +2 more

Nonbinary low-density-parity-check (NB-LDPC) code outperforms their binary counterpart in terms of error-correcting performance when the code length is moderate. Check node processing is a bottleneck of the NB-LDPC decoding. In this paper, a novel half-row modified two-extra-column trellis min-max (HR-mTEC-TMM) algorithm is proposed for the check node processing to reduce not only the complexity but also the storage memory. The check node unit (CNU) 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 CNU architecture obtains a reduction of 28.3% for the area and 43.87% for the storage memory with an acceptable error-correcting performance loss, compared to existing work.

International Conference on Advanced Technologies for Communications•Oct 1, 2018•0 citations
Compared to binary low-density parity-check (LDPC) codes, non-binary (NB) LDPC codes can achieve higher coding gain when the code length is moderate. On the other hand, the decoding of NB-LDPC codes is more complicated since a vector of messages instead of a single message is passed along each edge of the associated Tanner graph. Layered decoding can be employed to simplify LDPC decoding. However, there is extra latency between the decoding of layers caused by check node processing, message permutation and updating when applied to NB-LDPC codes. In this paper, a novel scheduling scheme is developed to eliminate the extra latency for the Min-max decoding of quasi-cyclic (QC) NB-LDPC codes using trellis-based check node processing. Assume that each row of sub-matrices in the parity check matrix of a QCNB-LDPC code is divided into two layers, the proposed scheme can reduce the decoding latency by a factor of around (2dc+ 5)/2dc, where dcis the check node degree. It leads to significant speedup when dcis not large. Moreover, the area overhead of the proposed scheme is less than 10%.
Non-binary low-density parity-check (NB-LDPC) codes can achieve better error-correcting performance than binary LDPC codes when the code length is moderate. For the first time, this paper proposes a partial-parallel decoder architecture based on the Min-max algorithm for quasi-cyclic NB-LDPC codes. A novel boundary tracking based scheme and corresponding architecture are developed to implement the elementary step of the check node processing. In addition, layered decoding is applied, and the hardware units are optimized to reduce the latency and area. This paper also introduces an overlapped method for the check node processing among different layers to further speed up the decoding. From complexity analysis, the proposed decoder with 5 iterations for a (837,726) code over GF(25) can easily achieve 60 Mbps throughput on ASIC devices. It is 40% more efficient than prior designs.
Non-binary low-density parity-check (NB-LDPC) codes can achieve better error-correcting performance than their binary counterparts when the code length is moderate. Check node processing is one bottleneck in NB-LDPC decoding. Various techniques have been proposed to simplify the check node processing. Particularly, the computation complexity can be reduced by employing an iterative forward-backward scheme. However, this scheme requires large memory to store intermediate results. In this paper, a novel check node processing scheme and corresponding VLSI architectures are proposed for the Min-max NB-LDPC decoding. The proposed scheme first chooses a limited number of variable-to-check messages, then the check-to-variable messages to all connected variable nodes are generated independently. Employing the proposed architecture, the area requirement of the check node processing for an (837, 726) NB-LDPC code over GF (25) can be reduced to 22.5% of that of the previous work with the same processing speed and error-correcting performance.
Non-binary low-density parity check (NB-LDPC) codes are an extension of binary LDPC codes with significantly better performance.Although various kinds of low-complexity iterative decoding algorithms have been proposed, there is a big challenge for VLSI implementation of NBLDPC decoders due to its high complexity and long latency.In this brief, highly efficient check node processing scheme, which the processing delay greatly reduced, including Min-Max decoding algorithm and check node unit are proposed.Compare with previous works, less than 52% could be reduced for the latency of check node unit.In addition, the efficiency of the presented techniques is design to demonstrate for the (620, 310) NB-QC-LDPC decoder.
Non-binary low-density parity-check (NB-LDPC) codes can achieve better error-correcting performance than binary LDPC codes when the code length is moderate at the cost of higher decoding complexity. The high complexity is mainly caused by the complicated computations in the check node processing and the large memory requirement. In this paper, a novel check node processing scheme and corresponding VLSI architectures are proposed for the Min-max NB-LDPC decoding algorithm. The proposed scheme first sorts out a limited number of the most reliable variable-to-check (v-to-c) messages, then the check-to-variable (c-to-v) messages to all connected variable nodes are derived independently from the sorted messages without noticeable performance loss. Compared to the previous iterative forward-backward check node processing, the proposed scheme not only significantly reduced the computation complexity, but eliminated the memory required for storing the intermediate messages generated from the forward and backward processes. Inspired by this novel c-to-v message computation method, we propose to store the most reliable v-to-c messages as “compressed” c-to-v messages. The c-to-v messages will be recovered from the compressed format when needed. Accordingly, the memory requirement of the overall decoder can be substantially reduced. Compared to the previous Min-max decoder architecture, the proposed design for a (837, 726) code overGF(25) can achieve the same throughput with only 46% of the area.
Nonbinary low-density parity-check (NB-LDPC) codes constructed over GF(q) (q >; 2) can achieve higher coding gain than binary LDPC codes when the code length is moderate. A complete partial-parallel decoder architecture based on the Min-max algorithm is proposed for quasi-cyclic NB-LDPC codes in this paper. A novel scheme and corresponding architecture are developed to implement the elementary step of the check node processing. In our design, layered decoding is applied and only nm5) has also been synthesized on a Xilinx Virtex-2 Pro FPGA device. It can achieve a throughput of 9.30 Mbps when 15 decoding iterations are carried out.
Nonbinary low-density-parity-check (NB-LDPC) code outperforms their binary counterpart in terms of error-correcting performance when the code length is moderate. Check node processing is a bottleneck of the NB-LDPC decoding. In this paper, a novel half-row modified two-extra-column trellis min-max (HR-mTEC-TMM) algorithm is proposed for the check node processing to reduce not only the complexity but also the storage memory. The check node unit (CNU) 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 CNU architecture obtains a reduction of 28.3% for the area and 43.87% for the storage memory with an acceptable error-correcting performance loss, compared to existing work.