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检索条件"主题词=Non-binary LDPC Codes"

共 73 条记录，以下是21-30 订阅

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Area-efficient TFM-based Stochastic Decoder Design for non-binary ldpc codes

Area-efficient TFM-based Stochastic Decoder Design for Non-b...

引用

IEEE International Symposium on Circuits and Systems (ISCAS)

作者： Yang, Chih-Wen Lee, Xin-Ru Chen, Chih-Lung Chang, Hsie-Chia Lee, Chen-Yi Natl Chiao Tung Univ Dept Elect Engn Hsinchu 300 Taiwan

ISBN: (纸本)9781479934324

This paper presents a non-binary ldpc decoder based on stochastic arithmetic. Although the previous stochastic works reduce the complexity of check node by transforming the convolution of the SPA algorithm to the finite field summation, the stochastic decoder still has a implementation bottleneck due to large storage introduced by the variable node process. Considering a balance between algorithm level and implementation level, we propose a shortened TFM architecture as well as its updating criterion. A compare-and-alter counter architecture is also proposed to avoid sorting among counters which decide the decoded codeword. With these features, the proposed (136, 68) fully-parallel stochastic NB-ldpc decoder over GF(32) implemented in UMC 90-nm can achieve 120 Mb/s throughput while operating under 455 MHz with 740 k gate counts which are only 10 % of the original TFM decoder.

关键词： TFM stochastic decoding non-binary ldpc codes

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Low-Complexity Probability Generation Algorithm for Stochastic Decoding of non-binary ldpc codes

Low-Complexity Probability Generation Algorithm for Stochast...

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6th International ICST Conference on Communications and Networking in China (CHINACOM)

作者： He, Guanghua Bai, Baoming Xidian Univ State Key Lab ISN Xian 710071 Peoples R China

ISBN: (纸本)9781457701016

non-binary ldpc codes offer higher performances than their binary counterpart but suffer from highest decoding complexity. A solution to reduce the decoding complexity is the use of stochastic decoding algorithm, but the computational complexity of probability generation in the first step is very high. In this paper, we propose a simple method to fast generate the probability especially in high-order modulation schemes. Simulation results show that the proposed algorithm causes negligible performance degradation with reduction in computational complexity for stochastic decoding of non-binary ldpc codes, which gives some advantages in hardware implementation of the decoders.

关键词： non-binary ldpc codes stochastic decoding demodulations probability approximations decoder

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A Cycle-based Rate-compatible Puncturing Technique for non-binary ldpc codes 11

A Cycle-based Rate-compatible Puncturing Technique for Non-b...

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11th International Conference on Signal Processing and Communications (SPCOM)

作者： Deka, Kuntal Rajesh, A. Bora, P. K. Indian Inst Informat Technol Guwahati Gauhati Assam India Indian Inst Technol Guwahati Gauhati Assam India

ISBN: (纸本)9781509017461

This paper presents a cycle-based rate-compatible puncturing technique for non-binary (NB) low-density parity-check (ldpc) codes. The proposed puncturing technique is based on the connectivity of the short non-binary (NB) cycles present in the Tanner graph. The connectivity of a cycle is measured by the extrinsic message degree (EMD). The short cycles with low values of EMD degrade the performance of iterative decoders significantly. The proposed technique selects the variable nodes for puncturing by reckoning their involvements in the short NB cycles with a low EMD. Simulations in different contexts are performed to check the efficiency of the proposed technique.

关键词： non-binary ldpc codes puncturing grouping algorithm cycle EMD

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Low Error-Floor Majority-Logic Decoding Based Algorithm for non-binary ldpc codes

Low Error-Floor Majority-Logic Decoding Based Algorithm for ...

引用

IEEE International Conference on Communications (ICC)

作者： Song, Liyuan Zhang, Mu Huang, Qin Wang, Zulin Beihang Univ Sch Elect & Informat Engn Beijing 100191 Peoples R China

ISBN: (纸本)9781467364324

The traditional majority-logic decoding (MLgD) based algorithms suffer error-floors for decoding non-binary ldpc codes with small column weights. This paper presents a bit-reliability based MLgD (BRB-MLgD) algorithm with low error-floors for non-binary ldpc codes. The proposed algorithm is carried out based on the binary representations of nonbinary symbols. The reliability update along each edge of the Tanner graph of a non-binary ldpc code is in terms of bits rather than symbols. Thus, its computational complexity and memory consumption are less than those of the existing MLgD based algorithms. Simulation results indicate that the proposed algorithm can significantly reduce error-floors with small performance degradation in the waterfall region.

关键词： non-binary ldpc codes majority-logic decoding bit-reliability error-floor

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A Novel Truncation Rule for the EMS Decoding of non-binary ldpc codes 12

A Novel Truncation Rule for the EMS Decoding of Non-binary L...

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12th International Conference on Signal Processing and Communications (SPCOM)

作者： Deka, Kuntal Rajesh, A. Bora, P. K. Indian Inst Technol Goa Farmagudi India Indian Inst Technol Guwahati Gauhati India

ISBN: (纸本)9781538638217

This paper presents a novel truncation rule for the extended min-sum (EMS) decoding of non-binary low-density parity-check (NB-ldpc) codes. The conventional NB-ldpc decoders involve vector-messages of length equal to the field size q. The complexity of these decoders increases significantly as q increases. In the EMS algorithm, the vector-messages are truncated by discarding the less-likely symbols. In this paper, we propose a truncation rule so that the lengths of the vector-messages are reduced to the so-far best limit without compromising on the error correction capability. We devise a proximity matrix which helps to identify the essential components of a vector-message for truncation. The proposed truncation rule has been applied to several NB-ldpc codes of different field sizes. Simulation results for these codes show that the proposed rule can achieve the maximum truncation with negligible performance loss.

关键词： non-binary ldpc codes min-sum algorithm EMS algorithm truncation rule

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Set Min-Sum Decoding Algorithm for non-binary ldpc codes

Set Min-Sum Decoding Algorithm for Non-Binary LDPC Codes

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IEEE International Symposium on Information Theory (ISIT)

作者： Song, Liyuan Huang, Qin Wang, Zulin Beihang Univ Sch Elect & Informat Engn Beijing Peoples R China Collaborat Innovat Ctr Geospatial Technol 129 Luoyu Rd Wuhan 430079 Peoples R China

ISBN: (纸本)9781509018062

This paper reduces the complexity of decoding non-binary low-density parity-check (ldpc) codes by set partition. In the check node update, the input vectors are partitioned into several sets such that different elements in the virtual matrix enjoy various computational strategies. As a result, the proposed algorithm achieves high computational efficiency by setting strategies according to the correct probability of these elements. Simulation results indicate that it significantly decreases the complexity of check node update with negligible performance loss.

关键词： non-binary ldpc codes check node update correct probability distribution set partition

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Coset Probability Based Majority-logic Decoding for non-binary ldpc codes

Coset Probability Based Majority-logic Decoding for Non-bina...

引用

IEEE Information Theory Workshop (ITW)

作者： Wijekoon, V. B. Liu, Shuiyin Viterbo, Emanuele Hong, Yi Micheloni, Rino Marelli, Alessia Monash Univ Clayton Vic Australia Holmes Inst Melbourne Vic Australia Microsemi Corp Milan Italy

ISBN: (纸本)9781538669006

This paper presents a majority-logic decoding (MLgD) algorithm for non-binary ldpc codes based on a novel expansion of the Tanner graph. The expansion introduced converts the Q-ary graph into a binary one, which makes the new MLgD algorithm more attractive for hardware implementations. Proposed algorithm performs significantly better than the existing MLgD algorithms in the waterfall region, and it shows a much lower error-floor as well. Algorithm only requires integer additions, comparisons, finite field operations and some binary operations. Thus, it offers an effective trade-off between performance and complexity in decoding non-binary ldpc codes.

关键词： non-binary ldpc codes Majority-logic decoding Graph expansion

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FOURIER DOMAIN DECODING ALGORITHM OF non-binary ldpc codes FOR PARALLEL IMPLEMENTATION

FOURIER DOMAIN DECODING ALGORITHM OF NON-BINARY LDPC CODES F...

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IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)

作者： Kasai, Kenta Sakaniwa, Koichi Tokyo Inst Technol Tokyo Japan

ISBN: (纸本)9781457705397

For decoding non-binary low-density parity-check (ldpc) codes, logarithm-domain sum-product (Log-SP) algorithms were proposed for reducing quantization effects of SP algorithm in conjunction with FFT. Since FFT is not applicable in the logarithm domain, the computations required at check nodes in the Log-SP algorithms are computationally intensive. What is worse, check nodes usually have higher degree than variable nodes. As a result, most of the time for decoding is used for check node computations, which leads to a bottleneck effect. In this paper, we propose a Log-SP algorithm in the Fourier domain. With this algorithm, the role of variable nodes and check nodes are switched. The intensive computations are spread over lower-degree variable nodes, which can be efficiently calculated in parallel. Furthermore, we develop a fast calculation method for the estimated bits and syndromes in the Fourier domain.

关键词： non-binary ldpc codes parallel implementation Galois field iterative decoding

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On the Performance of Moderate-Length non-binary ldpc codes for Space Communications

On the Performance of Moderate-Length Non-Binary LDPC Codes ...

引用

5th Advanced Satellite Multimedia Systems Conference / 11th Signal Processing for Space Communications Workshop (ASMS/SPSC)

作者： Costantini, Laura Matuz, Balazs Liva, Gianluigi Paolini, Enrico Chiani, Marco Univ Bologna DEIS WiLAB Via Venezia 52 I-47521 Cesena FC Italy German Aerosp Ctr DLR Inst Commun & Nav D-82234 Wessling Germany

ISBN: (纸本)9781424468331

In this paper, an overview of recent achievements in the design and decoding of non-binary low-density paritycheck (ldpc) codes is provided. non-binary constructions based on ultra-sparse matrices are compared with binary low-density parity-check codes and turbo codes from satellite communication standards, to show that larger coding gains ( outperforming the binary competitors by at least 0.3 dB) can be achieved on the AWGN channel, especially in the moderate/short block regimes. Thanks to this excellent performance, non-binary ldpc codes represent an appealing solution for space communications. Index Terms-Belief propagation, non-binary ldpc codes, space communications, satellite communications.

关键词： Belief propagation non-binary ldpc codes space communications satellite communications

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binary Diversity for non-binary ldpc codes over the Rayleigh Channel

Binary Diversity for Non-Binary LDPC Codes over the Rayleigh...

引用

IEEE Wireless Communications and Networking Conference (WCNC)

作者： Gorgoglione, Matteo Savin, Valentin Declercq, David CEA LETI Grenoble France

ISBN: (纸本)9781467304375;9781467304368

In this paper we analyze the performance of several bit-interleaving strategies applied to non-binary Low-Density Parity-Check (ldpc) codes over the Rayleigh fading channel. The technique of bit-interleaving used over fading channel introduces diversity which could provide important gains in terms of frame error probability and detection. This paper demonstrates the importance of the way of implementing the bit-interleaving, and proposes a design of an optimized bit-interleaver inspired from the Progressive Edge Growth algorithm. This optimization algorithm depends on the topological structure of a given ldpc code and can also be applied to any degree distribution and code realization. In particular, we focus on non-binary ldpc codes based on graph with constant symbol-node connection d(v) = 2. These regular (2, dc)-NB-ldpc codes demonstrate best performance, thanks to their large girths and improved decoding thresholds growing with the order of Finite Field. Simulations show excellent results of the proposed interleaving technique compared to the random interleaver as well as to the system without interleaver.

关键词： non-binary ldpc codes bit-interleaver Rayleigh fading channel Tanner Graph

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