Optimal Output Quantization of Binary Input AWGN Channel for Belief-Propagation Decoding of LDPC Codes

2012 ◽  
Author(s):  
Junho Cho ◽  
Jonghong Kim ◽  
Wonyong Sung
Keyword(s):  
Belief Propagation ◽  
Ldpc Codes ◽  
Optimal Output ◽  
Awgn Channel ◽  
Binary Input

An Improved Construction for Yielding Nonbinary LDPC Codes

2014 ◽  
Vol 556-562 ◽  
pp. 6307-6310
Author(s):  
Li Sheng Zhang ◽  
Zhi Peng Huang ◽  
Fan Xin Zeng
Keyword(s):  
Belief Propagation ◽  
Ldpc Codes ◽  
Construction Method ◽  
Decoding Algorithm ◽  
Construction Methods ◽  
Awgn Channel ◽  
Simulation Results ◽  
Nonbinary Ldpc Codes

In this paper, we investigate construction methods for producing nonbinary LDPC codes, and a family of nonbinary LDPC codes over is presented and its properties are derived. Compared to the second method presented by Ref. [5], simulation results show that the proposed LDPC codes perform well over the AWGN channel under belief propagation decoding algorithm and have an almost same BER curve as the ones in Ref. [5]. However, the resultant construction method is simpler than the latter’s.

scholarly journals Comprehensive Algorithmic Review and Analysis of LDPC Codes

2015 ◽  
Vol 16 (1) ◽  
pp. 111
Author(s):  
Waheed Ullah ◽  
Abid Yahya
Keyword(s):  
Belief Propagation ◽  
Ldpc Codes ◽  
Short Length ◽  
The Other ◽  
Comprehensive Review ◽  
Logarithmic Model ◽  
Awgn Channel ◽  
Propagation Algorithm ◽  
Belief Propagation Algorithm ◽  
First Time

Due to the increasing popularity of LDPC codes and its demand for future applications, first time in this paper, LDPC coding techniques have been systematically summarized and analyzed. The paper gives the comprehensive review of LDPC encoder, decoder and its architecture for simulation and implementation. The paper is specially intended for giving an insight of the algorithmic overview of the LDPC encoder, decoder and its architecture for research and practical purposes. The original belief propagation algorithm (BPA) , logarithmic model of BPA , and the other simplified form of the logarithmic sum product algorithms (SPA) has been elaborated and analyzed for medium and short length codes under AWGN channel

scholarly journals Threshold Computation for Spatially Coupled Turbo-Like Codes on the AWGN Channel

Entropy ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 240
Author(s):  
Muhammad Umar Farooq ◽  
Alexandre Graell i Amat ◽  
Michael Lentmaier
Keyword(s):  
Gaussian Noise ◽  
Belief Propagation ◽  
Additive White Gaussian Noise ◽  
Maximum A Posteriori ◽  
Prediction Methods ◽  
Threshold Analysis ◽  
A Posteriori ◽  
Awgn Channel ◽  
Efficient Prediction ◽  
Binary Erasure Channel

In this paper, we perform a belief propagation (BP) decoding threshold analysis of spatially coupled (SC) turbo-like codes (TCs) (SC-TCs) on the additive white Gaussian noise (AWGN) channel. We review Monte-Carlo density evolution (MC-DE) and efficient prediction methods, which determine the BP thresholds of SC-TCs over the AWGN channel. We demonstrate that instead of performing time-consuming MC-DE computations, the BP threshold of SC-TCs over the AWGN channel can be predicted very efficiently from their binary erasure channel (BEC) thresholds. From threshold results, we conjecture that the similarity of MC-DE and predicted thresholds is related to the threshold saturation capability as well as capacity-approaching maximum a posteriori (MAP) performance of an SC-TC ensemble.

Bounds on the Belief Propagation Threshold of Non-Binary LDPC Codes

2016 ◽  
Vol 62 (5) ◽  
pp. 2639-2657 ◽  
Author(s):  
Leonid Geller ◽  
David Burshtein
Keyword(s):  
Belief Propagation ◽  
Ldpc Codes

Multi-Round Belief Propagation Decoding With Impulsive Perturbation for Short LDPC Codes

2020 ◽  
Vol 9 (9) ◽  
pp. 1491-1494
Author(s):  
Hyunjae Lee ◽  
Yong-Sung Kil ◽  
Min Jang ◽  
Sang-Hyo Kim ◽  
Ok-Sun Park ◽  
...  
Keyword(s):  
Belief Propagation ◽  
Ldpc Codes
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