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Modified UMP-BP decoding algorithm based on mean square error

N. Kim, H. Park
2004 Electronics Letters  
The modified uniformly most powerful belief-propagation (UMP-BP) decoding algorithm is proposed.  ...  This utilises a new normalisation factor to diminish the error introduced by approximation of the soft values.  ...  UMP BP-based algorithm in which the factor produces the minimum of mean square error.  ... 
doi:10.1049/el:20040551 fatcat:vr4nythd3zadxbfjmkmcl5wexi

Modified Min Sum Decoding Algorithm for Low Density Parity Check Codes

J Shrinidhi, P. Sri Krishna, Yamuna B, Pargunarajan K.
2020 Procedia Computer Science  
This paper proposes a modification to the MSA, based on the Wiener and Linear Minimum Mean Square Error (LMMSE) estimators for LDPC codes.  ...  This paper proposes a modification to the MSA, based on the Wiener and Linear Minimum Mean Square Error (LMMSE) estimators for LDPC codes.  ...  As the aim is to keep the sign unchanged, we modify the equation as: This algorithm optimizes this linear approximation error based on MMSE criterion.  ... 
doi:10.1016/j.procs.2020.04.230 fatcat:oxg6gxwnivaorm4mkbpavgoiu4

Low latency low power bit flipping algorithms for LDPC decoding

Mohamed Ismail, Imran Ahmed, Justin Coon, Simon Armour, Taskin Kocak, Joseph McGeehan
2010 21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications  
We also present a method for reducing power consumption by placing processing elements into a quiescent state based on a bit-local metric.  ...  For a small loss in bit error rate performance (0.5 dB) we show how the application of an early stopping criteria uses 89% fewer iterations compared to a similar published algorithm.  ...  ACKNOWLEDGEMENT The authors would like to thank Toshiba TRL and its directors for supporting this work.  ... 
doi:10.1109/pimrc.2010.5671820 dblp:conf/pimrc/IsmailACAKM10 fatcat:biq7poziv5ec7fsp763vgurfw4

LDPC Codes in Communications and Broadcasting

T. OHTSUKI
2007 IEICE transactions on communications  
The performance of LDPC codes largely depend on their code structure and decoding algorithm. In this paper, we present the basics of LDPC codes and their decoding algorithms.  ...  LDPC codes are promising for communications and broadcasting as well where the use of error correcting codes are essential.  ...  Maximum Likelihood Detection (MLD), Minimum Mean Square Error (MMSE), and so on) is performed in the first iteration.  ... 
doi:10.1093/ietcom/e90-b.3.440 fatcat:umyh6rrasre37f77cl6zqhbnge

Soft Syndrome Decoding of Quantum LDPC Codes for Joint Correction of Data and Syndrome Errors [article]

Nithin Raveendran, Narayanan Rengaswamy, Asit Kumar Pradhan, Bane Vasić
2022 arXiv   pre-print
Syndrome-based iterative belief propagation decoders are modified to utilize the syndrome-soft information to successfully correct both data and syndrome errors simultaneously, without repeated measurements  ...  In particular, the new BP decoder with noisy syndrome performs as good as the standard BP decoder under ideal syndrome.  ...  Like classical LDPC codes, QLDPC codes also employ decoders based on iterative BP or message-passing algorithms.  ... 
arXiv:2205.02341v1 fatcat:exvksbvifvhupc3goyjktuugky

Iterative detection and decoding for MIMO systems with knowledge-aided belief propagation algorithms

Jingjing Liu, Peng Li, Rodrigo C. de Lamare
2012 2012 Conference Record of the Forty Sixth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)  
The proposed IDD system consists of a soft-input soft-output parallel interference (PIC) cancellation scheme with linear minimum mean-square error (MMSE) receive filters and two novel belief propagation  ...  Simulation results show that when used to perform IDD for multi-antenna systems both proposed BP decoding algorithms can consistently outperform existing BP techniques with a small number of decoding iterations  ...  The proposed scheme consists of a SISO parallel interference cancellation (PIC) scheme with linear minimum mean-square error (MMSE) receive filters and two novel knowledge-aided (KA) belief propagation  ... 
doi:10.1109/acssc.2012.6489223 dblp:conf/acssc/LiuLL12 fatcat:ft53zvzdznc45jnibodyjrpadu

Iterative Detection and Decoding for MIMO Systems with Knowledge-Aided Message Passing Algorithms [article]

Jingjing Liu, Peng Li, Rodrigo C. de Lamare
2013 arXiv   pre-print
The proposed IDD system consists of a soft-input soft-output parallel interference (PIC) cancellation scheme with linear minimum mean-square error (MMSE) receive filters and two novel belief propagation  ...  Simulation results show that when used to perform IDD for multi-antenna systems both proposed BP decoding algorithms can consistently outperform existing BP techniques with a small number of decoding iterations  ...  The proposed scheme consists of a SISO parallel interference cancellation (PIC) scheme with linear minimum mean-square error (MMSE) receive filters and two novel knowledge-aided (KA) belief propagation  ... 
arXiv:1304.6152v1 fatcat:oztqeviq25bgtmfbs2vrmwkrj4

Full-Diversity Binary Frame-Wise Network Coding for Multiple-Source Multiple-Relay Networks Over Slow-Fading Channels

Jun Li, Jinhong Yuan, Robert Malaney, Ming Xiao, Wen Chen
2012 IEEE Transactions on Vehicular Technology  
Based on this criterion, we propose an algorithm to design low-complexity encoders for a BFNC scheme by exploiting quasi-cyclic lowdensity parity-check (LDPC) code structures.  ...  We also design practical decoders based on the belief propagation decoding principle with a focus on large block lengths.  ...  We have discussed a diversity-achieving criterion for the BFNC schemes with either an ML decoder or a BP decoder at the destination.  ... 
doi:10.1109/tvt.2012.2185966 fatcat:aiu5nw5rmjdl5n2u4utuhklxzu

Study of Knowledge-Aided Iterative Detection and Decoding for Multiuser MIMO Systems [article]

P. Li, R. C. de Lamare, J. Liu
2018 arXiv   pre-print
The proposed knowledge-aided IDD (KA-IDD) system employs a minimum mean-square error detector with refined iterative processing and a reweighted belief propagation (BP) decoding algorithm.  ...  Simulation results show that the proposed KA-IDD scheme and algorithms outperform prior art and require a reduced number of decoding iterations.  ...  The proposed KA-IDD scheme consists of a minimum meansquare error (MMSE) detector with soft interference cancelation, refined iterative processing and a reweighted BP decoding algorithm.  ... 
arXiv:1802.05960v1 fatcat:fvjblgignrhp5lydj5miaqii6q

LDMC design for low complexity MIMO detection and efficient decoding

Han Hai, Xue-Qin Jiang, Poongundran Selvaprabhu, Sunil Chinnadurai, Jia Hou, Moon Ho Lee
2018 EURASIP Journal on Wireless Communications and Networking  
In this paper, we present a new modified progressive edge-growth (PEG) algorithm to construct large girth LDMCs, which are referred to as PEG-LDMCs.  ...  Furthermore, we propose two new efficient iterative decoding algorithms for LDMCs, which are high speed serial decoding and fast convergence shuffled decoding.  ...  Funding This work was supported by National Natural Science Foundation of China (61671143,61631004,61571315), and the Initial Research Funds for Young Teachers of Donghua University.  ... 
doi:10.1186/s13638-018-1202-6 fatcat:dokxylhbnncu5khumrx5nhz5pq

Code construction and FPGA implementation of a low-error-floor multi-rate low-density Parity-check code decoder

Lei Yang, Hui Liu, C.-J.R. Shi
2006 IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications  
Furthermore, to suppress the error floor level, a characterization on the conditions for short cycles in a LDPC code matrix expanded from a small base matrix is presented, and a cycle elimination algorithm  ...  In this paper, a 9-k code length multi-rate LDPC decoder architecture is presented and implemented on a Xilinx field-programmable gate array device.  ...  Wang, Oregon State University, Corvallis, for several helpful discussions, and the anonymous reviewers for their constructive comments.  ... 
doi:10.1109/tcsi.2005.862074 fatcat:2o6d3mhl3zaffovus3rsltkfm4

Knowledge-aided iterative detection and decoding for multiuser multiple-antenna systems

Peng Li, Rodrigo C. de Lamare, Jingjing Liu
2018 IET Communications  
Additionally, two BP-based decoding algorithms are proposed for improved performance of the decoder.  ...  In this work, the authors assess the performance and latency of a receiver design for multiuser multiple-antenna systems using low-density parity-check (LDPC) codes with iterative detection and decoding  ...  In this study, further algorithms are considered with extensive simulation results.  ... 
doi:10.1049/iet-com.2017.0695 fatcat:elg2risoy5fkte3x2zwi7j77bi

A 5.79-Gb/s Energy-Efficient Multirate LDPC Codec Chip for IEEE 802.15.3c Applications

Shao-Wei Yen, Shiang-Yu Hung, Chih-Lung Chen, Hsie-Chia Chang, Shyh-Jye Jou, Chen-Yi Lee
2012 IEEE Journal of Solid-State Circuits  
After utilizing row-based layered scheduling, the normalized min-sum (NMS) algorithm can reduce half of the iteration number while maintaining similar performance.  ...  In addition, an adder-accumulator-shift register (AASR) circuit is proposed for the LDPC encoder to reduce hardware complexity.  ...  ACKNOWLEDGMENT The authors would like to thank National Chip Implement Center (CIC), Taiwan, and United Microelectronics Corporation (UMC), Taiwan, for technology support.  ... 
doi:10.1109/jssc.2012.2194176 fatcat:fpnbpkar2fcdbl4kgo3m7tergu

Loop Calculus Helps to Improve Belief Propagation and Linear Programming Decodings of Low-Density-Parity-Check Codes [article]

Michael Chertkov, Vladimir Y. Chernyak
2006 arXiv   pre-print
If the algorithm that minimizes the Bethe free energy fails we modify the free energy by accounting for a critical loop in a graphical representation of the code.  ...  We illustrate the utility of the recently developed loop calculus for improving the Belief Propagation (BP) algorithm.  ...  We further suggest an improved decoding scheme based on finding this critical loop correction (in the case of the bare BP failure) followed by correcting the error.  ... 
arXiv:cs/0609154v1 fatcat:c3mfvze7tbeznd2rqbru6sgfvy

Optimized Design for NB-LDPC-Coded High-Order CPM: Power and Iterative Efficiencies

Rui Xue, Tong Wang, Yanbo Sun, Huaiyu Tang
2020 Symmetry  
Secondly, a three-step method based on extrinsic information transfer (EXIT) and entropy theory is used to design NB-LDPC codes, which reduces the convergence threshold approximately 0.42 and 0.58 dB compared  ...  Firstly, the minimum squared normalized Euclidean distance and the 99% double-sided power bandwidth are introduced to design a competitive CPM, improving its power efficiency under a given code rate and  ...  Optimization Design for Iterative Efficiency LDPC decoding is an iterative detector using BP or a modified BP algorithm.  ... 
doi:10.3390/sym12081353 fatcat:ejubnmmgyrfipbvlws7ng3csu4
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