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A Generalized Algebraic Approach to Optimizing SC-LDPC Codes
[article]
2017
arXiv
pre-print
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In this paper, we unify all existing SC-LDPC code construction methods under a new generalized description of SC-LDPC codes based on algebraic lifts of graphs. ...
We present an improved low-complexity counting method for the special case of (3,3)-absorbing sets for array-based SC-LDPC codes, which we then use to optimize permutation assignments in SC-LDPC code construction ...
SC-LDPC Codes from Algebraic Lifts In the protograph approach to SC-LDPC code construction, a base Tanner graph is copied and coupled to form the SCprotograph. ...
arXiv:1710.03619v1
fatcat:5qgv6hjwkncyng6iszpzcyr2eu
Spatially-coupled codes for optical communications: state-of-the-art and open problems
2015
2015 Opto-Electronics and Communications Conference (OECC)
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We give a brief survey of a particularly interesting class of codes, called spatially-coupled codes, which are strong candidates for future optical communication systems. ...
We discuss some recent research on this class of codes in the area of optical communications, and summarize some open research problems. ...
In practice, however, SC-LDPC codes need to be terminated to operate with a finite block length. ...
doi:10.1109/oecc.2015.7340116
fatcat:xh4zbyh3srgqvgdeyefcns2obq
Algebraic Optimization of Binary Spatially Coupled Measurement Matrices for Interval Passing
[article]
2018
arXiv
pre-print
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As a consequence, IPA-based reconstruction with SC measurement matrices is able to provide an almost error free reconstruction for significantly denser signal vectors compared to uncoupled AB LDPC measurement ...
The IPA is known to fail due to the presence of harmful sub-structures in the Tanner graph of a binary sparse measurement matrix, so called termatiko sets. ...
Note that AB SC LDPC codes can be constructed via an edge-spreading process applied to a base Tanner graph of the LDPC block code (BC), yielding an SC protograph. ...
arXiv:1809.05647v1
fatcat:d4akvtlaebf2vi643ejn2nchki
Memory Efficient Decoders using Spatially Coupled Quasi-Cyclic LDPC Codes
[article]
2013
arXiv
pre-print
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In this paper we propose the construction of Spatially Coupled Low-Density Parity-Check (SC-LDPC) codes using a periodic time-variant Quasi-Cyclic (QC) algorithm. ...
It is shown that the proposed QC SC-LDPC code (with optimization) can be stored with reasonable logic resources and without the need of block memory in the FPGA. ...
The staircase structure of the SC-LDPC codes offers a unique opportunity to optimize the QC based technique to further reduce the hardware resources required for the decoder. ...
arXiv:1305.5625v2
fatcat:v7oilymhovcalc55lg2dshd4ta
Message from the general chairs
2008
2008 International Symposium on a World of Wireless, Mobile and Multimedia Networks
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A unified approach to optimization of LDPC codes for various communication scenarios A unified approach to construct and optimize codes determined by their sparse parity-check matrices is presented. ...
Several algebraic methods for constructing non-binary LDPC codes are presented. ...
doi:10.1109/wowmom.2008.4594797
dblp:conf/wowmom/JainK08
fatcat:ziu25issdvga7cmqjgbtqtdu7q
Nested Array-Based Spatially Coupled LDPC Codes
[article]
2021
arXiv
pre-print
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In this paper, we consider nested array-based spatially coupled low-density parity-check (SC-LDPC) codes and propose a line-counting based optimization scheme for minimizing the number of dominant absorbing ...
To tackle these constraints, a multi-step optimization process is applied first to one of the nested codes, then sequential optimization of the remaining nested codes is carried out based on the constraints ...
Hence, the optimized nested QC-SC-LDPC codes are expected to have better error-floor performance when constructed via Method 1 or 2 compared to randomly generated QC-SC-LDPC codes. VI. ...
arXiv:2102.10623v1
fatcat:om5zrxdtjjf4lpv6babqusd4fa
FPGA implementation of rate-adaptive spatially coupled LDPC codes suitable for optical communications
2019
Optics Express
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The implemented unified structure can be employed for any template QC-LDPC code to achieve a spatially-coupling based code-rate adaptation scheme. K K QC J J J K ...
In this paper, we propose a unified field-programmable gate array (FPGA) structure for a rate-adaptive forward error correction (FEC) scheme based on spatially coupled (SC) LDPC codes derived from quasi-cyclic ...
A simple approach to construct a LDPC-CC from a standard LDPC block code (LDPC-BC) was given. ...
doi:10.1364/oe.27.003422
fatcat:rpoawzaxsreelkdftjrdpkbekm
Spatially coupled codes and optical fiber communications: An ideal match?
2015
2015 IEEE 16th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)
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2015 pre-print arXiv:1505.05405v1 fatcat:p25p4bdygbbsxmb632f2r4u5r4
We first demonstrate how to optimize irregular spatially coupled LDPC codes for their use in optical communications with limited decoding hardware complexity and then present simulation results with an ...
We demonstrate that SC codes can be employed as universal, channel-agnostic coding schemes. ...
The block code, which has a matrix that has been optimized for low error floors, is outperformed by both SC-LDPC codes. ...
doi:10.1109/spawc.2015.7227080
dblp:conf/spawc/SchmalenSRALB15
fatcat:rzzxtqewxndizenfxw5jdnrigm
Improving soft FEC performance for higher-order modulations via optimized bit channel mappings
2014
Optics Express
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The optimization is applied to the AR4JA protograph family, and further extended to protograph-based spatially coupled LDPC codes assuming a windowed decoder. ...
In this paper, we study the optimization of the mapping of the coded bits to the modulation bits for a polarization-multiplexed fiber-optical system without optical inline dispersion compensation. ...
Spatially coupled LDPC codes SC-LDPC codes have parity-check matrices with a band-diagonal structure (for a general definition see, e.g., [12] ). ...
doi:10.1364/oe.22.014544
pmid:24977550
fatcat:7g7vuqgd45gktkvnpu3fjctihi
Guest Editorial Recent Advances in Capacity Approaching Codes
2016
IEEE Journal on Selected Areas in Communications
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The encoding method is shown to be equivalent to spatial coupling of the generator matrix, and performance comparisons to SC-LDPC codes and ARJA-type LDPC block codes indicate excellent waterfall region ...
SPATIALLY COUPLED CODES The paper by Liu et al. introduces a new algebraic construction method for spatially coupled (convolutional) LDPC (SC-LDPC) codes, called replicate-and-mask (R&M). ...
doi:10.1109/jsac.2015.2508219
fatcat:pq7svpzseza7ljrrz6rlzl2fw4
Performance Analysis of LDPC-Coded Diversity Combining on Rayleigh Fading Channels With Impulsive Noise
2017
IEEE Transactions on Communications
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A detector based on the bi-parameter Cauchy-Gaussian mixture model is used and shows near-optimal performance with a significant reduction in complexity when compared with the optimal detector. ...
Noise added at each branch of the diversity combiner is generally assumed to be additive white Gaussian noise, but there are many applications where the received signal is impaired by noise with a non-Gaussian ...
Alternatively, a simulation-based approach can be used to find the pdf of a egc using a histogram method. For MRC, a different approach is used to find the pdf of the initial LLR. ...
doi:10.1109/tcomm.2017.2683485
fatcat:zhx3fyk4jnfm3a2zejrhx6znae
Coded Cooperation for Multiway Relaying in Wireless Sensor Networks
2015
Sensors
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To obtain good performance with practical codes, we choose spatially-coupled LDPC (SC-LDPC) codes for the coded cooperation. ...
Due to the capacity-achieving property of the SC-LDPC codes, we prove that the capacity region can theoretically be achieved by the proposed MET SC-LDPC codes. ...
Acknowledgments This work was supported in part by the National Natural Science Foundation of China The authors would like to thank the editors and the anonymous reviewers for their valuable comments and ...
doi:10.3390/s150715265
pmid:26131675
pmcid:PMC4541830
fatcat:ctsdukok4jgkdozm5zpjks4lnm
Performance Analysis of Block Markov Superposition Transmission of Short Codes
[article]
2015
arXiv
pre-print
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with the generator matrices of short codes (referred to as basic codes) coupled. ...
Then, we present a performance comparison of BMST codes and SC low-density parity-check (SC-LDPC) codes on the basis of equal decoding latency. ...
ACKNOWLEDGMENT The authors would like to thank Prof. Daniel J. Costello, Jr. for his helpful comments, polishing this paper, and invaluable ...
arXiv:1504.02978v1
fatcat:qqdzlet6jbhlloeq43usquhica
Physical-Layer Network Coding for Wireless Cooperative Networks
2010
EURASIP Journal on Wireless Communications and Networking
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As the (sparse) mixing operation of network coding finds natural connection to low-density parity-check (LDPC) codes, both make essential use of the LDPC coding structure. ...
The inception of network coding provides a powerful remedy for improving the spectral efficiency and opens new possibilities for achieving the end-to-end throughput optimality by allowing intermediate ...
doi:10.1155/2010/693158
fatcat:lij2bybct5al5p2z3oy54r2ici
Systematic Convolutional Low Density Generator Matrix Code
[article]
2020
arXiv
pre-print
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The SC-LDGM codes are easily configurable in the sense that any rational code rate can be realized without complex optimization. ...
To improve the waterfall performance, we construct the systematic convolutional LDGM (SC-LDGM) codes by a random splitting process. ...
An important feature of SC-LDPC codes is the threshold saturation [14] that the decoding performance of SC-LDPC codes under BP decoding approaches the MAP decoding performances of uncoupled LDPC block ...
arXiv:2001.02854v1
fatcat:omdiglj4vnazlpqdt5y4alxvqq
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