Efficient Design and Decoding of Polar Codes

@article{Trifonov2012EfficientDA,
  title={Efficient Design and Decoding of Polar Codes},
  author={Peter Trifonov},
  journal={IEEE Transactions on Communications},
  year={2012},
  volume={60},
  pages={3221-3227}
}
Polar codes are shown to be instances of both generalized concatenated codes and multilevel codes. It is shown that the performance of a polar code can be improved by representing it as a multilevel code and applying the multistage decoding algorithm with maximum likelihood decoding of outer codes. Additional performance improvement is obtained by replacing polar outer codes with other ones with better error correction performance. In some cases this also results in complexity reduction. It is… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 258 CITATIONS

Polar codes for optical communications

VIEW 5 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

Multilevel Polar Coded-Modulation for Wireless Communications

VIEW 6 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

Throughput-Based Design for Polar-Coded Modulation

VIEW 5 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

Design of Generalized Concatenated Codes Based on Polar Codes With Very Short Outer Codes

VIEW 11 EXCERPTS
CITES METHODS, BACKGROUND & RESULTS
HIGHLY INFLUENCED

Iterative multistage decoding of polar code based multilevel codes

VIEW 7 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

On the puncturing patterns for punctured polar codes

VIEW 4 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

BER Evaluation Based SCFlip Algorithm for Polar Codes Decoding

VIEW 4 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

Performance Bounds of Concatenated Polar Coding Schemes

VIEW 5 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

Polar Codes and Their Quantum-Domain Counterparts

VIEW 4 EXCERPTS
CITES METHODS
HIGHLY INFLUENCED

Cluster Pairwise Error Probability and Construction of Parity-Check-Concatenated Polar Codes

VIEW 9 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

FILTER CITATIONS BY YEAR

2011
2020

CITATION STATISTICS

  • 18 Highly Influenced Citations

  • Averaged 58 Citations per year from 2017 through 2019

  • 22% Increase in citations per year in 2019 over 2018

References

Publications referenced by this paper.
SHOWING 1-10 OF 20 REFERENCES

Channel Polarization: A Method for Constructing Capacity-Achieving Codes for Symmetric Binary-Input Memoryless Channels

  • Erdal Arıkan
  • Computer Science, Mathematics
  • IEEE Transactions on Information Theory
  • 2009
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Multilevel codes: Theoretical concepts and practical design rules

VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

How to Construct Polar Codes

VIEW 2 EXCERPTS

An empirical scaling law for polar codes

VIEW 1 EXCERPT

Improving successive cancellation decoding of polar codes by usage of inner block codes

VIEW 1 EXCERPT

Non-binary polar codes using Reed-Solomon codes and algebraic geometry codes

VIEW 1 EXCERPT

Performance and construction of polar codes on symmetric binary-input memoryless channels

VIEW 1 EXCERPT

Polar Codes: Characterization of Exponent, Bounds, and Constructions

VIEW 2 EXCERPTS

Two-dimensional polar coding

  • E. Arikan, G. Markarian
  • Proc. 2009 Int. Symp. Commun. Theory Appl.
  • 2009
VIEW 1 EXCERPT