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A Joint Optimization Technique for Multi-Edge Type LDPC Codes [article]

Sachini Jayasooriya, Mahyar Shirvanimoghaddam, Lawrence Ong, Sarah J. Johnson
2016 arXiv   pre-print
This joint optimization is particularly important for MET-LDPC codes as it is not clear a priori which structures will be good.  ...  We propose an algorithm to jointly optimize the node degree distribution and the multi-edge structure of MET-LDPC codes for given values of the maximum number of edge-types and maximum node degrees.  ...  Multi-edge type lowdensity parity-check (MET-LDPC) codes, introduced by Richardson and Urbanke [8] , provide a very powerful and general framework for the standard LDPC codes.  ... 
arXiv:1605.04664v1 fatcat:a5k3yan63bfx5nm33uddgemwra

Analysis and design of Raptor codes using a multi-edge framework [article]

Sachini Jayasooriya, Mahyar Shirvanimoghaddam, Lawrence Ong, Sarah J. Johnson
2017 arXiv   pre-print
In this regard, we first represent the Raptor code as a multi-edge type low-density parity-check (METLDPC) code.  ...  We consider a joint decoding scheme based on the belief propagation (BP) decoding for Raptor codes in the multi-edge framework, and analyze the convergence behavior of the BP decoder using MET-DE.  ...  Problem statement for Raptor code optimization in the multi-edge framework For the Raptor code optimization, we consider a Raptor code as a MET-LDPC code, and formulate the optimization problem to maximize  ... 
arXiv:1701.02415v1 fatcat:xpp72gr5jjaple7lwbrxc26iwq

Design of network-coding based multi-edge type LDPC codes for multi-source relaying systems [article]

Jun Li, Marwan H. Azmi, Robert. Malaney, Jinhong Yuan
2009 arXiv   pre-print
In this paper, we propose a network coded multi-edge type LDPC (NCMET-LDPC) scheme for the multi-source scenario.  ...  However, such a direct application is not optimal due to the lack of potential joint processing gain.  ...  In the following section, we focus on the network coded multiedge type LDPC code for the multi-source system. III. MULTI-EDGE TYPE LDPC FOR MULTI-SOURCE SYSTEM A.  ... 
arXiv:0910.1145v1 fatcat:xpfug7f4dngfndkxzimp67cdoy

Reliability Analysis of the Joint LDPC Decoding Algorithms over the Multiple Access Channels

Mahdi Nangir
2021 Journal of Information Systems and Telecommunication  
The joint Low Density Parity-Check (LDPC) decoding schemes iteratively decode the received data from multiple channels.  ...  An analysis on the reliability of the Bit Error Rate (BER) performance of the Joint Sum-Product (JSP) decoding algorithm is presented for a two-link case, which can be extended to higher number of links  ...  In general, a multi-edge type LDPC code is an extension of the classical LDPC code.  ... 
doi:10.52547/jist.9.36.33 fatcat:6omclvnc6fcnhf5g47khdbkq34

Optimization of Graph Based Codes for Belief Propagation Decoding [article]

Sachini Jayasooriya, Sarah J. Johnson, Lawrence Ong, Regina Berretta
2016 arXiv   pre-print
This technique is applied to the design of good irregular LDPC codes and multiedge type LDPC codes.  ...  Density evolution is an efficient method to analyze the performance of the belief propagation decoding algorithm for a particular LDPC code ensemble, enabling the determination of a decoding threshold.  ...  Multi-edge type LDPC (MET-LDPC) codes [4] are a generalization of LDPC codes.  ... 
arXiv:1605.04661v1 fatcat:wx77pbwyerfqrfjiqkmq5dvirq

Raptor Codes for Higher-Order Modulation Using a Multi-Edge Framework [article]

Sachini Jayasooriya, Mahyar Shirvanimoghaddam, Lawrence Ong, Sarah J. Johnson
2017 arXiv   pre-print
In this paper, we represent Raptor codes as multi-edge type low-density parity-check (MET-LDPC) codes, which gives a general framework to design them for higher-order modulation using MET density evolution  ...  We consider a joint decoding scheme based on belief propagation for Raptor codes and also derive an exact expression for the stability condition.  ...  [7] designed multi-edge type low-density parity-check (MET-LDPC) codes for MLC modulation for 16-quadrature amplitude modulation (16-QAM) and showed that the spectral efficiency can be improved when  ... 
arXiv:1701.03880v1 fatcat:xtc5senokradzggh4xmioc4vee

Joint optimisation technique for multi-edge type low-density parity-check codes

Sachini Jayasooriya, Mahyar Shirvanimoghaddam, Lawrence Ong, Sarah J. Johnson
2017 IET Communications  
This joint optimisation is particularly important for MET-LDPC codes as it is not clear a priori which structures will be good.  ...  The authors propose an algorithm to jointly optimise the node degree distribution and the multi-edge structure of MET-LDPC codes for given values of the maximum number of edge-types and maximum node degrees  ...  Multi-edge type LDPC (MET-LDPC) codes, introduced by Richardson and Urbanke [7] provide a very powerful and general framework for the standard LDPC codes.  ... 
doi:10.1049/iet-com.2016.0287 fatcat:dtzblbw7hfhhnecd75auecynie

A Survey on Protograph LDPC Codes and Their Applications

Yi Fang, Guoan Bi, Yong Liang Guan, Francis C. M. Lau
2015 IEEE Communications Surveys and Tutorials  
As a type of promising structured LDPC codes, the protograph LDPC codes not only inherit the advantage of conventional LDPC codes, i.e., excellent error performance, but also possess simple representations  ...  Moreover, the applications of protograph LDPC codes to joint sourceand-channel coding (JSCC) and joint channel-and-physical-layernetwork coding (JCPNC) are reviewed and studied.  ...  The main idea of such codes is "multi-edge type", which means that there exist multiple edge types in a MET-LDPC code and each type may contain multiple edges.  ... 
doi:10.1109/comst.2015.2436705 fatcat:fdq7i74t2vc4rdgmjamhpydokq

Information-theoretic limits of two-dimensional optical recording channels

Paul H. Siegel, Ryuichi Katayama, Tuviah E. Schlesinger
2007 Optical Data Storage 2006  
This paper provides an overview of some recently developed techniques for determining analytical bounds and simulation-based estimates for achievable densities of such 2D recording channels, as well as  ...  Channel architectures incorporating powerful codes, such as turbo codes and low-density parity-check codes, have been shown to achieve performance very close to the information-theoretic limits.  ...  Wolf for their technical contributions to this paper. He also acknowledges valuable input from Mark Ayres, Kevin Curtis, Adrian Hill, and Kumar Bhagavatula.  ... 
doi:10.1117/12.685223 fatcat:pom67rdguja35p2r3jvf2wyacu

Design of Joint Sparse Graph for OFDM System

Lei Wen, Razieh Razavi, Muhammad Ali Imran, Pei Xiao
2015 IEEE Transactions on Wireless Communications  
In this paper, we construct a joint sparse graph combining the single graphs of LDS-OFDM and LDPC codes, namely joint sparse graph for OFDM (JSG-OFDM).  ...  Low density signature orthogonal frequency division multiplexing (LDS-OFDM) and low density parity-check (LDPC) codes are multiple access and forward error correction (FEC) techniques, respectively.  ...  ACKNOWLEDGMENT The authors would like to thank Jing Lei, Jibo Wei and Dandan Liang for their constructive and insightful comments.  ... 
doi:10.1109/twc.2014.2373379 fatcat:zfwhhhebyzbbboyb4trid6knli

Design and performance of a novel low-density parity-check code for distributed video coding

Joao Ascenso, Catarina Brites, Fernando Pereira
2008 2008 15th IEEE International Conference on Image Processing  
The proposed LDPC codes reach a good performance for a wide range of source correlations and achieve a better RD performance when compared to the popular turbo codes.  ...  In this paper, new ways to design LDPC codes for the DVC paradigm are proposed and studied.  ...  This guarantees that no multi-edges exist, i.e. two or more edges connecting a cnode to a v-node. b.  ... 
doi:10.1109/icip.2008.4711955 dblp:conf/icip/AscensoBP08 fatcat:wwyjeb3mw5akxehiqwhlwts3ee

On iterative LDPC-based joint decoding scheme for binary input Gaussian multiple access channel

Alexey Frolov, Pavel Rybin, Fedor Ivanov
2016 2016 XV International Symposium Problems of Redundancy in Information and Control Systems (REDUNDANCY)  
For the case of 2 users we use a known scheme and analyze it by means of simulations. We found the optimal relation between the number of inner and outer iterations.  ...  In this paper we consider an iterative LDPCbased joint decoding scheme suggested in [1] .  ...  The matrices for R = 0.1 and 0.2 are constructed with use of a Raptor-like technique. For K = 1 we use optimal degree distributions. III.  ... 
doi:10.1109/red.2016.7779328 fatcat:y2q247c6h5a2hkzmltvqivnnhm

On Design Of Protograph LDPC Codes For Large-Scale MIMO Systems

Hieu D. Vu, Thuy V. Nguyen, Diep N. Nguyen, Hieu T. Nguyen
2020 IEEE Access  
The proposed LS-MIMO-PEXIT algorithm plays a vital role in the optimization process of designing new protograph LDPC codes, tailored for LS-MIMO communications systems.  ...  However, how to effectively evaluate and design protograph LDPC codes for LS-MIMO systems remains a challenging yet critical problem, especially for low-latency applications.  ...  However, how to effectively evaluate and design protograph LDPC codes for multi-input multi-output (MIMO) systems with a large number of antennas (referred to as large-scale MIMO or LS-MIMO) remains a  ... 
doi:10.1109/access.2020.2979156 fatcat:22hh5cbc65fmzga6yk5vbpz7vq

Multi-edge-type LDPC code design with G-EXIT charts for continuous-variable quantum key distribution [article]

Hossein Mani, Tobias Gehring, Christoph Pacher, Ulrik Lund Andersen
2020 arXiv   pre-print
Multilevel coding (MLC) combined with multistage decoding (MSD) can solve this challenge in combination with multi-edge-type low-density parity-check (MET-LDPC) codes which are ideal for low code rates  ...  In comparison to the traditional density evolution method, G-EXIT charts offer a simple and fast asymptotic analysis tool for MET-LDPC codes.  ...  The authors thank the Quantum Innovation Center Qubiz funded by the Innovation Fund Denmark for support.  ... 
arXiv:1812.05867v2 fatcat:ssbksa5z2rda3kzb6ovqauetnm

Protograph LDPC Code Design For LS-MIMO 1-bit ADC Systems

Thuy Van Nguyen, Hung Ngoc Dang
2021 REV Journal on Electronics and Communications  
Hence, we perform a re-design of the P-LDPC codes for the above systems in this paper.  ...  However, we observed that previously reported P-LDPC codes might not have good performance for LS-MIMO systems with 1-bit ADC.  ...  Joint MIMO Detection and Protograph LDPC Decoding The joint MIMO detection and protograph LDPC decoding algorithm, [13, 19] , is a promising solution for the massive MIMO coded communication systems because  ... 
doi:10.21553/rev-jec.266 fatcat:cobjgbhegrckdm62yksmqkd6gi
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