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Joint timing recovery and decoding algorithms for non-binary ldpc coded systems

DIGITAL SIGNAL PROCESSING 2013年第4期23卷 1115-1120页

作者： Huang, Kechao Zhang, Dalong Zhao, Shancheng Ma, Xiao Sun Yat Sen Univ Dept Elect & Commun Engn Guangzhou 510275 Guangdong Peoples R China Inst Informat Sci & Technol Dept Commun Engn Zhengzhou 450002 Peoples R China

In this paper, we present two joint timing recovery and decoding algorithms for non-binary lowdensity parity-check (ldpc) coded systems. To estimate the timing offset, the first algorithm utilizes the percentage of the satisfied check nodes (SCNs), while the second algorithm utilizes the soft decision metrics (SDMs). Both SCNs and SDMs are fed back from the ldpc decoder, which can be implemented by either the well-known q-ary sum-product algorithm (QSPA) or other low complexity algorithms, such as the X-EMS algorithms. Simulation results show that the proposed algorithms suffer from a little performance degradation compared with the perfect timing system. Simulation results also show that X-EMS algorithms aided by the timing recovery algorithm using SDMs outperform QSPA aided by the timing recovery algorithm using SCNs, but with a much lower complexity. This implies that the performance is mainly affected by the timing recovery algorithms. (C) 2013 Elsevier Inc. All rights reserved.

关键词： Iterative timing recovery non-binary ldpc codes Q-ary sum-product algorithm (QSPA) X-EMS algorithms

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FFT-SPA non-binary ldpc DECODING ON GPU

FFT-SPA NON-BINARY LDPC DECODING ON GPU

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

作者： Andrade, J. Falcao, G. Silva, V. Kasai, Kenta Univ Coimbra Dept Elect & Comp Eng Inst Telecomunicacoes P-3000 Coimbra Portugal Tokyo Inst Technol Grad Sch Sci & Engn Dept Comm & Integrated Syst Tokyo Japan

ISBN: (纸本)9781479903566

It is well known that non-binary ldpc codes outperform the BER performance of binary ldpc codes for the same code length. The superior BER performance of non-binary codes comes at the expense of more complex decoding algorithms that demand higher computational power. In this paper, we propose parallel signal processing algorithms for performing the FFT-SPA and the corresponding decoding of non-binary ldpc codes over GF(q). The constraints imposed by the complex nature of associated subsystems and kernels, in particular the Check Nodes, present computational challenges regarding multicore systems. Experimental results obtained on GPU for a variety of GF(q) show throughputs in the order of 2 Mbps, which is far above from the minimum throughput required, for example, for real-time video applications that can benefit from such error correcting capabilities.

关键词： non-binary ldpc codes GF(q) Communications Error correcting codes GPU

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non-binary Quasi-Cyclic Quantum ldpc codes

Non-Binary Quasi-Cyclic Quantum LDPC Codes

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IEEE International Symposium on Information Theory (ISIT)

作者： Kasai, Kenta Hagiwara, Manabu Imai, Hideki Sakaniwa, Kohichi Tokyo Inst Technol Dept Commun & Integrated Syst Tokyo 1528550 Japan Natl Inst Adv Ind Sci & Technol Res Ctr Informat Secur Tokyo 101 Japan Chuo Univ Dept Elect Elect & Commun Engn Fac Sci & Engn Tokyo 112 Japan

ISBN: (纸本)9781457705953

In this paper, we propose a construction method for two-level quantum error-correcting codes via non-binary ldpc codes over an extended field of order 2(p), p an integer p > 1. The proposed quantum error-correcting codes are based on binary quasi-cyclic ldpc codes which have almost achieved a "Bounded Distance Decoding (BDD)" limit but have not surpassed the limit yet. Quantum codes constructed from the proposed method surpass the BDD limit. Furthermore the codes outperform the efficiently-decodable state-of-the-art quantum codes.

关键词： ldpc code non-binary ldpc codes belief propagation Galois field iterative decoding CSS codes quantum error-correcting codes

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FFT-SPA non-binary ldpc DECODING ON GPU

FFT-SPA NON-BINARY LDPC DECODING ON GPU

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IEEE International Conference on Acoustics, Speech, and Signal Processing

作者： J. Andrade G. Falcao V. Silva Kenta Kasai Instituto de Telecomunica??es Dept. of Electrical and Computer Eng. University of Coimbra Portugal Dept. of Comm. and Integrated Systems Graduate School of Science and Eng. Tokyo Institute of Technology Japan

ISBN: (纸本)9781479903573

关键词： non-binary ldpc codes GF(q) Communications Error correcting codes GPU

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Low-Complexity Channel-Likelihood Estimation for non-binary codes and QAM

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IEEE COMMUNICATIONS LETTERS 2012年第6期16卷 801-804页

作者： He, Guanghua Sarkis, Gabi Hemati, Saied Gross, Warren J. Bai, Baoming Xidian Univ State Key Lab Integrated Serv Networks Xian 710071 Peoples R China McGill Univ Dept Elect & Comp Engn Montreal PQ H3A 2A7 Canada

An approximate channel-likelihood estimation algorithm is introduced for non-binary coded, square quadrature-amplitude-modulated systems. It is shown that the proposed approximation greatly simplifies the calculation of channel-likelihoods and yet provides results close to those based on exact calculations for non-binary low-density parity-check codes over the additive white Gaussian noise channel.

关键词： Channel-likelihoods non-binary ldpc codes QAM

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non-binary protograph low-density parity-check codes for space communications

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INTERNATIONAL JOURNAL OF SATELLITE COMMUNICATIONS AND NETWORKING 2012年第2期30卷 43-51页

作者： Costantini, Laura Matuz, Balazs Liva, Gianluigi Paolini, Enrico Chiani, Marco Deutsch Zentrum Luft & Raumfahrt DLR Inst Commun & Nav D-82234 Wessling Germany SkyTechnol Srl I-20147 Milan Italy Univ Bologna DEIS WiLAB I-47521 Cesena FC Italy

Protograph-based non-binary low-density parity-check (ldpc) codes with ultra-sparse parity-check matrices are compared with binary ldpc and turbo codes (TCs) from space communication standards. It is shown that larger coding gains are achieved, outperforming the binary competitors by more than 0.3?dB on the additive white Gaussian noise channel (AWGN). In the short block length regime, the designed codes gain more than 1?dB with respect to the binary protograph ldpc codes recently proposed for the next generation up-link standard of the Consultative Committee for Space Data Systems. Copyright (c) 2012 John Wiley & Sons, Ltd.

关键词： belief propagation non-binary ldpc codes protographs space communications

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nonbinary ldpc-coded OFDM over four/eight-mode fibers with mode-dependent loss

Nonbinary LDPC-coded OFDM over four/eight-mode fibers with m...

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25th IEEE Photonics Conference (IPC)

作者： Lin, Changyu Djordjevic, Ivan B. Zou, Ding Arabaci, Murat Cvijetic, Milorad Univ Arizona Dept Elect & Comp Engn Tucson AZ 85721 USA Univ Arizona Coll Opt Sci Tucson AZ 85721 USA

We propose a non-binary ldpc coded mode-multiplexed coherent optical OFDM system suitable for transmission of 1.28 Tb/s 16-QAM signals over 2000 km of few-mode fiber with mode dependent loss, in strong coupling regime.

ISBN: (纸本)9781457707339

关键词： OFDM few-mode fiber non-binary ldpc codes

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Analysis of Stopping Constellation Distribution for Irregular non-binary ldpc Code Ensemble

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IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES 2011年第11期E94A卷 2153-2160页

作者： Nozaki, Takayuki Kasai, Kenta Sakaniwa, Kohichi Tokyo Inst Technol Dept Commun & Integrated Syst Tokyo 1528550 Japan

The fixed points of the belief propagation decoder for non-binary low-density parity-check (ldpc) codes are referred to as stopping constellations. In this paper, we give the stopping constellation distributions for the irregular non-binary ldpc code ensembles defined over the general linear group. Moreover, we derive the exponential growth rate of the average stopping constellation distributions in the limit of large code-length.

关键词： non-binary ldpc codes stopping constellation

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A Systolic LLR Generation Architecture for non-binary ldpc Decoders

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IEEE COMMUNICATIONS LETTERS 2011年第8期15卷 851-853页

作者： Al Ghouwayel, Ali Boutillon, Emmanuel Univ Europeenne Bretagne Lab STICC CNRS UBS F-56100 Lorient France

non-binary ldpc codes offer higher performances than their binary counterpart but suffer from higher decoding complexity. A solution to reduce the decoding complexity is to use the Extended Min-Sum algorithm. The first step of this algorithm requires the generation of the first n(m) largest Log-Likelihood Ratio (LLR), sorted in increasing order, of each received symbol. In the case where GF(q) symbols are transmitted using a BPSK modulation, we propose a simple systolic architecture that generates the sorted list of symbols.

关键词： non-binary ldpc codes Extended Min-Sum algorithm systolic architecture

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Variable-Rate Equal-Power Waterfilling for non-binary ldpc Coded Multicarrier systems

Variable-Rate Equal-Power Waterfilling for Non-Binary LDPC C...

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21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC)

作者： Boccolini, Gabriele Fijalkow, Inbar Univ Cergy Pontoise ENSEA CNRS ETIS F-95000 Cergy Pontoise France

ISBN: (纸本)9781424480166

This paper presents a link adaptation strategy for non-binary ldpc code over a time-variant frequency-selective channel. The algorithm is based first on the adoption of waterfilling technique to wisely adapt the transmitted power. It is shown that as long as best subchannels are identified with the waterfilling algorithm, an equal power distribution can be applied with performance comparable to the ideal power adaptation. What it is more important is to decide which are the subchannels that should not be used in order to increase the energy efficiency of the system. The throughput is increased with the adoption of multilevel modulations that changes the rate of each subchannel depending on the channel-to-noise ratio and the quality of service required. The Galois Field GF(64) code symbols are mapped into four modulation schemes (BPSK, 4QAM, 16QAM, 64QAM) and the channel is assumed to be constant over six OFDM symbols. Simulation results are presented when a perfect channel state information is available at the transmitter and at the receiver side. In real dynamic channel environments, the performance of the system degrades due to the delay and the approximation of the feedback information. Simulation of partial channel state information scenario is also reported.

关键词： non-binary ldpc codes adaptive modulation multilevel waterfilling frequency selective channel link adaptation

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