Proceedings ArticleDOI
Knowledge-aided reweighted belief propagation decoding for regular and irregular LDPC codes with short blocks
Jingjing Liu,Rodrigo C. de Lamare +1 more
- pp 984-988
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TLDR
In this article, a new message passing algorithm, which takes advantage of both tree-based reparameterization and the knowledge of short cycles, is introduced for the purpose of decoding LDPC codes with short block lengths.Abstract:
In this paper a new message passing algorithm, which takes advantage of both tree-based re-parameterization and the knowledge of short cycles, is introduced for the purpose of decoding LDPC codes with short block lengths. The proposed algorithm is called variable factor appearance probability belief propagation (VFAP-BP) algorithm and is suitable for wireless communications applications, where both good decoding performance and low-latency are expected. Our simulation results show that the VFAP-BP algorithm outperforms the standard BP algorithm and requires a significantly smaller number of iterations than existing algorithms when decoding both regular and irregular LDPC codes.read more
Citations
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Fifteen Years of Quantum LDPC Coding and Improved Decoding Strategies
TL;DR: This paper conceive a modified non-binary decoding algorithm for homogeneous Calderbank-Shor-Steane-type QLDPC codes, which is capable of alleviating the problems imposed by the unavoidable length-four cycles.
Journal ArticleDOI
An exponential factor appearance probability belief propagation algorithm for regular and irregular LDPC codes
TL;DR: A modified version of the belief propagation algorithm for regular and irregular LDPC codes with two new features, one in the strategy for reweighting check nodes in tanner graph and another for exploiting the existence of short cycles with an exponential function for the determination of the factor appearance probability.
Dissertation
Short-length Low-density Parity-check Codes: Construction and Decoding Algorithms
TL;DR: A knowledge-aided approach is developed based on message reliabilities and residuals to allow fast convergence and significant improvements in error rate performance.
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A fast LDPC encoder/decoder for small/medium codes
TL;DR: Simulation results in a PLC-like environment that confirm the good performance of the proposed LDPC coder/decoder are presented, highlighting the importance of assuring low encoding/decoding latency with maintaining high throughput.
Posted Content
Optimizing Reweighted Belief Propagation for Likelihood Consensus Problems.
TL;DR: Through a linear formulation of BP, this work is able to analytically derive convergence conditions for certain types of graphs and optimize the convergence speed, and compares with standard belief consensus and observes significantly faster convergence.
References
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Low-Density Parity-Check Codes
TL;DR: A simple but nonoptimum decoding scheme operating directly from the channel a posteriori probabilities is described and the probability of error using this decoder on a binary symmetric channel is shown to decrease at least exponentially with a root of the block length.
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Factor graphs and the sum-product algorithm
TL;DR: A generic message-passing algorithm, the sum-product algorithm, that operates in a factor graph, that computes-either exactly or approximately-various marginal functions derived from the global function.
Proceedings ArticleDOI
Near Shannon limit error-correcting coding and decoding: Turbo-codes. 1
TL;DR: In this article, a new class of convolutional codes called turbo-codes, whose performances in terms of bit error rate (BER) are close to the Shannon limit, is discussed.
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Knowledge-Aided Reweighted Belief Propagation Decoding with Regular and Irregular LDPC Codes for Short Blocks
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