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1. Full Text Decoding Algorithms for Nonbinary LDPC Codes Over GF (q)
by Declercq, D and Fossorier, M
IEEE Transactions on Communications, ISSN 0090-6778, 04/2007, Volume 55, Issue 4, pp. 633 - 643
In this letter, we address the problem of decoding nonbinary low-density parity-check (LDPC) codes over finite fields GF(q), with reasonable complexity and... 
Fourier transforms | Medical services | Table lookup | iterative decoder | Galois fields | Computational complexity | Iterative decoding | nonbinary low-density parity-check (LDPC) codes | Tensile stress | Parity check codes | Iterative algorithms | Complexity reduction | Belief propagation | Nonbinary low-density parity-check (LDPC) codes | Iterative decoder | CAPACITY | DESIGN | PARITY-CHECK CODES | complexity reduction | TELECOMMUNICATIONS | GRAPHS | ENGINEERING, ELECTRICAL & ELECTRONIC | Analysis | Algorithms | Decoders | Studies | Codes | Low density parity check codes | Computer simulation | Mathematical analysis | Back propagation | EMS | Decoding | Offsets
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2. Full Text Decoding by Sampling - Part II: Derandomization and Soft-Output Decoding
by Wang, Zheng and Liu, Shuiyin and Ling, Cong
IEEE Transactions on Communications, ISSN 0090-6778, 11/2013, Volume 61, Issue 11, pp. 4630 - 4639
In this paper, a derandomized algorithm for sampling decoding is proposed to achieve near-optimal performance in lattice decoding. By setting a probability... 
iterative detection and decoding | Silicon carbide | Lattices | MIMO | lattice reduction | Complexity theory | sampling algorithms | Iterative decoding | Maximum likelihood decoding | Lattice decoding | soft-output decoding | Iterative detection and decoding | Sampling algorithms | Soft-output decoding | Lattice reduction | CAPACITY | SEARCH | DMT OPTIMALITY | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | LATTICE-REDUCTION | RADIUS | CHANNELS | POINT | Lattice theory | Research | Chaos theory | Maximum likelihood estimates (Statistics) | Analysis | MIMO communications | Operations research | Algorithms
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3. Full Text Shuffled iterative decoding
by Juntan Zhang and Fossorier, M.P.C
IEEE Transactions on Communications, ISSN 0090-6778, 02/2005, Volume 53, Issue 2, pp. 209 - 213
Shuffled versions of iterative decoding of low-density parity-check codes and turbo codes are presented. The proposed schemes have about the same computational... 
AWGN | Computational modeling | Very large scale integration | Code standards | Computational complexity | Iterative decoding | Processor scheduling | low-density parity-check (LDPC) codes | Belief propagation (BP) | scheduling | Turbo codes | Parity check codes | Belief propagation | Scheduling | Low-density parity-check (LDPC) codes | turbo codes | iterative decoding | CODES | belief propagation (BP) | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | Mobile communication systems | Wireless communication systems | Research | Schedules | Computer simulation | Computation | Decoding | Iterative methods | Standards | Complexity
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4. Full Text CRC-Aided Decoding of Polar Codes
by Kai Niu and Kai Chen
IEEE Communications Letters, ISSN 1089-7798, 10/2012, Volume 16, Issue 10, pp. 1668 - 1671
CRC (cyclic redundancy check)-aided decoding schemes are proposed to improve the performance of polar codes. A unified description of successive cancellation... 
Measurement | stack decoding | CRC | successive cancellation decoding | list decoding | Turbo codes | Complexity theory | Polar codes | Iterative decoding | Maximum likelihood decoding | REED-MULLER CODES | TELECOMMUNICATIONS | Noise levels | Lists | Redundancy | Cancellation | Stacks | Decoding | Channels | Decoders
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5. Full Text Reduced-complexity decoding of LDPC codes
by Jinghu Chen and Dholakia, A and Eleftheriou, E and Fossorier, M.P.C and Xiao-Yu Hu
IEEE Transactions on Communications, ISSN 0090-6778, 08/2005, Volume 53, Issue 8, pp. 1288 - 1299
Various log-likelihood-ratio-based belief-propagation (LLR-BP) decoding algorithms and their reduced-complexity derivatives for low-density parity-check (LDPC)... 
Algorithm design and analysis | reduced-complexity decoding | Computational modeling | Quantization | Iterative decoding | Delay | density evolution (DE) | low-density parity-check (LDPC) codes | Belief-propagation (BP) decoding | Approximation algorithms | Parity check codes | Iterative algorithms | Performance analysis | Sum product algorithm | Density evolution (DE) | Reduced-complexity decoding | Low-density parity-check (LDPC) codes | DENSITY EVOLUTION | iterative decoding | PARITY-CHECK CODES | BELIEF PROPAGATION | TELECOMMUNICATIONS | belief-propagation (BP) decoding | ENGINEERING, ELECTRICAL & ELECTRONIC | Iterative methods (Mathematics) | Algorithms | Communication | Codes | Low density parity check codes | Binary system | Approximation | Computation | Mathematical analysis | Decoding | Derivatives | Representations | Density
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6. Full Text Iterative decoding for MIMO channels via modified sphere decoding
by Vikalo, H and Hassibi, B and Kailath, T
IEEE Transactions on Wireless Communications, ISSN 1536-1276, 11/2004, Volume 3, Issue 6, pp. 2299 - 2311
In recent years, soft iterative decoding techniques have been shown to greatly improve the bit error rate performance of various communication systems. For... 
Convolutional codes | wireless communications | Bit error rate | low-density parity check (LDPC) codes | Iterative decoding | Least squares methods | space-time codes | sphere decoding | turbo codes | multiantenna systems | Convolution | Space time codes | Expected complexity | polynomial-time complexity | MIMO | Iterative algorithms | Polynomials | Signal to noise ratio | Space-time codes | Low-density parity check (LDPC) codes | Wireless communications | Turbo codes | Multiantenna systems | Polynomial-time complexity | Sphere decoding | PERFORMANCE | LATTICE CODE DECODER | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | iterative decoding | expected complexity | FADING CHANNELS | MODULATION | Studies | Codes | Algorithms | Wireless communication | Least squares method | Modulation | Decoding | Channels | Gain | Complexity
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7. Full Text Design of Spatially Coupled LDPC Codes Over GF (q) for Windowed Decoding
by Lai Wei and Mitchell, David G. M and Fuja, Thomas E and Costello, Daniel J
IEEE Transactions on Information Theory, ISSN 0018-9448, 09/2016, Volume 62, Issue 9, pp. 4781 - 4800
In this paper, we study spatially coupled lowdensity parity-check (SC-LDPC) codes over finite fields GF(q), q ≥ 2, and develop design rules for q-ary SC-LDPC... 
Convolutional codes | decoding latency | q -ary spatially coupled low-density parity-check codes"> q -ary spatially coupled low-density parity-check codes | decoding complexity | windowed decoding | Decoding | Complexity theory | iterative decoding thresholds | q -ary extrinsic information transfer analysis"> q -ary extrinsic information transfer analysis | Iterative decoding | protographs | q -ary density evolution"> q -ary density evolution | Couplings | binary-input additive white Gaussian noise channel | edge spreading | flooding-schedule decoding | binary erasure channel | Block codes | q-ary spatially coupled low-density parity-check codes | q-ary extrinsic information transfer analysis | q-ary density evolution | CAPACITY | COMPUTER SCIENCE, INFORMATION SYSTEMS | CONVOLUTIONAL-CODES | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Research | Chaos theory | Decoders | Back propagation | Iterative methods | Information theory | Reduction | Thresholds | Mathematical analysis | Error correcting codes | Channels | Gain | Complexity
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8. Full Text Soft-Input Soft-Output Single Tree-Search Sphere Decoding
by Studer, Christoph and Bölcskei, Helmut
IEEE Transactions on Information Theory, ISSN 0018-9448, 10/2010, Volume 56, Issue 10, pp. 4827 - 4842
Soft-input soft-output (SISO) detection algorithms form the basis for iterative decoding. The computational complexity of SISO detection often poses... 
Measurement | sphere decoding | Multiple-input multiple-output (MIMO) communication | iterative MIMO decoding | Detectors | soft-input soft-output (SISO) detection | MIMO | Decoding | Computational complexity | Iterative decoding | Multipleinput multipleoutput (MIMO) communication | softinput softoutput (SISO) detection | CAPACITY | V-BLAST | INFORMATION | LATTICE CODE DECODER | ALGORITHM | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | MAXIMUM-LIKELIHOOD DETECTION | COMPLEXITY | VLSI IMPLEMENTATION | SPACE-TIME CODES | FADING CHANNELS | Algorithms | Research | Management | Decoders | MIMO communications | Codes | Wireless communications | Antennas | Receivers & amplifiers | Information theory | Integrated circuits | Approximation | Wireless communication systems | Computation | Receivers | Complexity
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9. Full Text Dithered Belief Propagation Decoding
by Leduc-Primeau, Francois and Hemati, Saied and Mannor, Shie and Gross, Warren J
IEEE Transactions on Communications, ISSN 0090-6778, 08/2012, Volume 60, Issue 8, pp. 2042 - 2047
We introduce two dithered belief propagation decoding algorithms to lower the error floor with a minimal hardware overhead. One of the algorithms can... 
Algorithm design and analysis | Error analysis | error floor | Vectors | Decoding | Complexity theory | LDPC codes | Iterative decoding | belief propagation decoding | Signal to noise ratio | DECODERS | INFORMATION | PARITY-CHECK CODES | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC
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10. Full Text Decomposition Methods for Large Scale LP Decoding
by Barman, Siddharth and Xishuo Liu and Draper, Stark C and Recht, Benjamin
IEEE Transactions on Information Theory, ISSN 0018-9448, 12/2013, Volume 59, Issue 12, pp. 7870 - 7886
When binary linear error-correcting codes are used over symmetric channels, a relaxed version of the maximum likelihood decoding problem can be stated as a... 
error floors | belief propagation (BP) | low-density parity check (LDPC) codes | Vectors | parity polytope | Iterative decoding | Standards | Alternating direction method of multipliers (ADMM) | Maximum likelihood decoding | Convergence | decomposition methods | Euclidean projection | linear programming (LP) decoding | permutohedron | graphical models | iterative algorithms | error oors | LARGE GIRTH | DECODERS | COMPUTER SCIENCE, INFORMATION SYSTEMS | error floors | GRAPHS | ENGINEERING, ELECTRICAL & ELECTRONIC | BOUNDS | MATRICES | COMPLEXITY | PARITY-CHECK CODES | LDPC CODES | Error-correcting codes | Linear programming | Convergence (Mathematics) | Research | Analysis | Optimization algorithms | Codes | Euclidean space | Maximum likelihood method
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11. Full Text Low-Complexity Soft-Decoding Algorithms for Reed-Solomon Codes-Part II: Soft-Input Soft-Output Iterative Decoding
by Bellorado, J and Kavcic, A and Marrow, M and Li Ping
IEEE Transactions on Information Theory, ISSN 0018-9448, 03/2010, Volume 56, Issue 3, pp. 960 - 967
In this paper, we present a practical approach to the iterative decoding of Reed-Solomon (RS) codes. The presented methodology utilizes an architecture in... 
Reed-Solomon codes | reduced-density parity-check matrices | Reed-Solomon (RS) codes | Iterative algorithms | Parity check codes | Hardware | Sparse matrices | Iterative methods | Iterative decoding | Equations | Maximum likelihood decoding | Belief propagation | Reduced-density parity-check matrices | PARITY-CHECK CODES | COMPUTER SCIENCE, INFORMATION SYSTEMS | belief propagation | ENGINEERING, ELECTRICAL & ELECTRONIC | Algorithms | Research | Iterative methods (Mathematics) | Decoders | Codes | Data encryption | Simulation | Methods | Methodology | Mathematical analysis | Legacy | Back propagation | Decoding | Joints
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12. Full Text Iterative Decoding Threshold Analysis for LDPC Convolutional Codes
by Lentmaier, Michael and Sridharan, Arvind and Costello, Daniel J and Zigangirov, Kamil Sh and ELLIIT: the Linköping-Lund initiative on IT and mobile communication and Lund University and Lunds universitet and Institutionen för elektro- och informationsteknik and Department of Electrical and Information Technology
IEEE Transactions on Information Theory, ISSN 0018-9448, 10/2010, Volume 56, Issue 10, pp. 5274 - 5289
An iterative decoding threshold analysis for terminated regular LDPC convolutional (LDPCC) codes is presented. Using density evolution techniques, the... 
Convolutional codes | LDPC convolutional codes | Error probability | Message passing | low-density parity-check (LDPC) codes | density evolution | Decoding | Block codes | Iterative decoding | Belief propagation | threshold analysis | message passing | iterative decoding | CAPACITY | DESIGN | PERFORMANCE | BLOCK | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | DENSITY | BOUNDS | PARITY-CHECK CODES | Management | Research | Decoders | Codes | Convergence | Thresholds | Evolution | Density | Channels | Elektroteknik och elektronik | Engineering and Technology | Electrical Engineering, Electronic Engineering, Information Engineering | parity-check (LDPC) codes | low-density | Teknik
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13. Full Text On A^ Algorithms for Decoding Short Linear Block Codes
by Tien-Hui Chen and Kuan-Chen Chen and Mao-Chao Lin and Chia-Fu Chang
IEEE Transactions on Communications, ISSN 0090-6778, 10/2015, Volume 63, Issue 10, pp. 3471 - 3481
The A* algorithm for decoding linear block codes is an efficient tree-search method for decoding short linear block codes. The information contained in the... 
Measurement | Algorithm design and analysis | A algorithm | heuristic function | Magnetic resonance imaging | linear block code | Generators | Decoding | Block codes | soft decoding of block codes | Iterative decoding | Heuristic function | Linear block code | Soft decoding of block codes | A∗ algorithm | PRIORITY-1ST SEARCH | PERFORMANCE | PARITY-CHECK CODES | TELECOMMUNICATIONS | ORDERED STATISTICS | ENGINEERING, ELECTRICAL & ELECTRONIC
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14. Full Text Delayed Stochastic Decoding of LDPC Codes
by Naderi, A and Mannor, S and Sawan, M and Gross, W. J
IEEE Transactions on Signal Processing, ISSN 1053-587X, 11/2011, Volume 59, Issue 11, pp. 5617 - 5626
A new stochastic decoding algorithm, called Delayed Stochastic (DS) decoding, is introduced to implement low-density-parity-check (LDPC) decoders. The delayed... 
low-density parity-check code | stochastic decoding | Delayed stochastic decoding | Signal processing algorithms | Throughput | Hardware | Decoding | Iterative decoding | Equations | iterative decoding | DECODERS | OPTICAL COMMUNICATIONS | COMPLEXITY | PARITY-CHECK CODES | TRACKING FORECAST MEMORIES | ENGINEERING, ELECTRICAL & ELECTRONIC | Technology application | Usage | Stochastic processes | Innovations | Signal processing | Distribution (Probability theory) | Complementary metal oxide semiconductors | Decoders | CMOS | Noise levels | Algorithms | Silicon | Stochasticity
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15. Full Text Sequential Decoding of Polar Codes
by Miloslavkaya, V and Trifonov, P
IEEE Communications Letters, ISSN 1089-7798, 07/2014, Volume 18, Issue 7, pp. 1127 - 1130
The problem of efficient decoding of polar codes is considered. A low-complexity sequential soft decision decoding algorithm is proposed. It is based on the... 
Decoding | Complexity theory | Random variables | Heuristic algorithms | Arrays | Iterative decoding | successive cancellation | Polar codes | sequential decoding | TELECOMMUNICATIONS
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16. Full Text Motion-Aware Decoding of Compressed-Sensed Video
by Ying Liu and Ming Li and Pados, D. A
IEEE Transactions on Circuits and Systems for Video Technology, ISSN 1051-8215, 03/2013, Volume 23, Issue 3, pp. 438 - 444
Compressed sensing is the theory and practice of sub-Nyquist sampling of sparse signals of interest. Perfect reconstruction may then be possible with much... 
Correlation | compressive sampling | video codecs | Vectors | Decoding | Image reconstruction | Iterative decoding | dimensionality reduction | Streaming media | motion estimation | video streaming | Discrete cosine transforms | Compressed sensing | sparse representation | Dimensionality reduction | Motion estimation | Video streaming | Sparse representation | Compressive sampling | Video codecs | SIGNAL RECOVERY | ENGINEERING, ELECTRICAL & ELECTRONIC | Trigonometrical functions | Usage | Imaging systems | Innovations | Design and construction | Iterative methods (Mathematics) | Decoders
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17. Full Text Stochastic decoding of LDPC codes
by Sharifi Tehrani, S and Gross, W.J and Mannor, S
IEEE Communications Letters, ISSN 1089-7798, 10/2006, Volume 10, Issue 10, pp. 716 - 718
This letter presents the first successful method for iterative stochastic decoding of state-of-the-art low-density parity-check (LDPC) codes. The proposed... 
Circuits | Stochastic processes | Parity check codes | Iterative algorithms | Hardware | Error correction codes | Iterative methods | Iterative decoding | Belief propagation | Iterative stochastic decoding | LDPC codes | COMPUTATION | TELECOMMUNICATIONS | iterative stochastic decoding | State of the art | Simulation | Graphs | Decoding | Stochasticity | Viability | Complexity
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18. Full Text Fast Converging ADMM-Penalized Algorithm for LDPC Decoding
by Debbabi, Imen and Le Gal, Bertrand and Khouja, Nadia and Tlili, Fethi and Jego, Christophe
IEEE Communications Letters, ISSN 1089-7798, 04/2016, Volume 20, Issue 4, pp. 648 - 651
The alternate direction method of multipliers (ADMM) approach has been recently considered for LDPC decoding. It has been approved to enhance the error rate... 
layered scheduling | convergence | LDPC | Scheduling | linear programming | Decoding | Complexity theory | iterative process | Iterative decoding | Processor scheduling | flooding scheduling | Kernel | ADMM | TELECOMMUNICATIONS | Formulations | Errors | Algorithms | Computation | Error correction | Complexity | Electronics | Engineering Sciences
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19. Full Text A Fully-Parallel Turbo Decoding Algorithm
by Maunder, Robert G
IEEE Transactions on Communications, ISSN 0090-6778, 08/2015, Volume 63, Issue 8, pp. 2762 - 2775
This paper proposes a novel alternative to the Logarithmic Bahl-Cocke-Jelinek-Raviv (Log-BCJR) algorithm for turbo decoding, yielding significantly improved... 
Convolutional codes | Measurement | WiMAX | Turbo codes | Throughput | Decoding | Parallel algorithms | Iterative decoding | parallel algorithms | iterative decoding | throughput | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | Error-correcting codes | Coding theory | Algorithms | Research | Engineering research | Mathematical research | Graphs | Codes | Wireless communication | Serials | Interoperability | Standards | Complexity
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20. Full Text Braided Convolutional Codes With Sliding Window Decoding
by Min Zhu and Mitchell, David G. M and Lentmaier, Michael and Costello, Daniel J and Baoming Bai and ELLIIT: the Linköping-Lund initiative on IT and mobile communication and Communications Engineering and Lund University and Kommunikationsteknologi and Lunds universitet
IEEE Transactions on Communications, ISSN 0090-6778, 09/2017, Volume 65, Issue 9, pp. 3645 - 3658
In this paper, we present a novel sliding window decoding scheme based on iterative Bahl-Cocke-Jelinek-Raviv decoding for braided convolutional codes, a class... 
Convolutional codes | Schedules | decoding latency | Message passing | Braided convolutional codes | turbo-like codes | Decoding | Electronic mail | sliding window decoding | Iterative decoding | iterative decoding | CHANNEL | BLOCK | EXPANDER CODES | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Electronic mail systems | Iterative methods (Mathematics) | Codes | Binary system | Braiding | Sliding | Piercing | Complexity | Elektroteknik och elektronik | Kommunikationssystem | Engineering and Technology | Electrical Engineering, Electronic Engineering, Information Engineering | Communication Systems | Teknik
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