# Soft-decision decoding of linear block codes based on ordered statistics

@article{Fossorier1995SoftdecisionDO, title={Soft-decision decoding of linear block codes based on ordered statistics}, author={Marc P. C. Fossorier and Shu Lin}, journal={IEEE Trans. Inf. Theory}, year={1995}, volume={41}, pages={1379-1396} }

Presents a novel approach to soft decision decoding for binary linear block codes. The basic idea is to achieve a desired error performance progressively in a number of stages. For each decoding stage, the error performance is tightly bounded and the decoding is terminated at the stage where either near-optimum error performance or a desired level of error performance is achieved. As a result, more flexibility in the tradeoff between performance and decoding complexity is provided. The decoding…

## 490 Citations

Computationally efficient soft-decision decoding of linear block codes based on ordered statistics

- Computer ScienceIEEE Trans. Inf. Theory
- 1996

It is shown that two-stage decoding with the algorithm of Fossorier and Lin offers a large variety of choices, since the reprocessing order of each stage can be determined independently.

Fast Soft Decision Decoding of Linear Block Codes Using Partial Syndrome Search

- Computer Science2020 IEEE International Symposium on Information Theory (ISIT)
- 2020

Ordered statistics-based decoding (OSD) is a soft decision decoding algorithm for linear block codes, yielding near maximum likelihood decoding performance. The OSD algorithm first sorts the received…

New Approach to Order Statistics Decoding of Long Linear Block Codes

- Computer ScienceIEEE GLOBECOM 2007 - IEEE Global Telecommunications Conference
- 2007

The ALMLT algorithm outperforms the OSD(2) algorithm as illustrated by decoding the binary image of the (255, 239,17) RS code and has a lower mean number of tests, while using the same stopping criterion.

Ordered statistics-based list decoding techniques for linear binary block codes

- Computer ScienceEURASIP J. Wirel. Commun. Netw.
- 2012

Numerical examples show that, in some cases, the proposed decoding schemes are superior to the original OSD in terms of both the bit error rate performance as well as the decoding complexity.

On the reliability-order-based decoding algorithms for binary linear block codes

- Computer ScienceIEEE Transactions on Information Theory
- 2006

It is shown that any bounded-distance ROBDA is asymptotically optimal: the ratio between the probability of decoding error of a bounded- distance ROBDA and that of the maximum-likelihood (ML) decoding approaches 1 when the signal-to-noise ratio (SNR) approaches infinity.

Title On the reliability-order-based decoding algorithms for binary linear block codes

- Computer Science
- 2016

It is shown that any bounded-distance ROBDA is asymptotically optimal: the ratio between the probability of decoding error of a bounded- distance ROBDA and that of the maximum-likelihood (ML) decoding approaches 1 when the signal-to-noise ratio (SNR) approaches infinity.

Iterative soft-decision decoding of linear block codes

- Computer Science
- 2000

The authors show that for linear block codes defined over extensions of GF(2) a variant of the sub-optimal soft-decision Dorsch (1974) algorithm offers very good performance with low complexity and is exploited in an iterative decoding scheme for product codes.

NOMA Joint Decoding based on Soft-Output Ordered-Statistics Decoder for Short Block Codes

- Computer ScienceArXiv
- 2021

A low-complexity soft-output ordered-statistics decoding (LC-SOSD) based on a decoding stopping condition, derived from approximations of the a-posterior probabilities of codeword estimates, which has the similar mutual information transform property to the original SOSD with a significantly reduced complexity.

Efficient decoding of block turbo codes

- Computer Science, BusinessJournal of Communications and Networks
- 2018

The proposed algorithm can avoid a number of unnecessary hard-decision decoding operations by imposing two conditions on the Chase algorithm and provide a trade-off between the performance and the computational complexity of BTCs by properly selecting a decoding parameter.

Low-Complexity Decoding of Block Turbo Codes Based on the Chase Algorithm

- Computer Science, BusinessIEEE Communications Letters
- 2017

A low-complexity decoding algorithm for BTCs that first checks whether an algebraic hard-decision decoder outputs a codeword for a given decoder input vector, and then adaptively applies one of the two estimation rules.

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