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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

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Published on: September 5, 2019

Adaptive List Flip Decoder for Polar Codes with High-Order Error Correction Capability and a Simplified Flip Metric.

Yansong Lv¹, Hang Yin², Zhanxin Yang²

¹The Engineering Research Center of the Digital Audio and Video Ministry of Education, Communication University of China, Beijing 100024, China.

Entropy (Basel, Switzerland)

|December 23, 2022

Summary

We developed an adaptive list flip (ALF) decoder to improve polar code performance. This new decoder simplifies calculations, maintaining efficiency without sacrificing error correction capabilities for limited code lengths.

Keywords:

adaptive list flip metric high-order error correction capability list flip decoder polar code

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Area of Science:

Coding Theory
Information Theory
Digital Communications

Background:

Efficient decoders are crucial for polar codes, especially with limited code lengths.
List flip decoders offer a balance between performance and complexity.
The dynamic successive cancellation list flip (D-SCLF) decoder shows promise but has computational limitations.

Purpose of the Study:

To design a more computationally efficient decoder for polar codes.
To address the complexity issues of the D-SCLF decoder's flip metric.
To maintain or improve the error correction performance of polar code decoders.

Main Methods:

Developed a novel heuristic simplified flip metric for the list flip decoder.
Replaced complex nonlinear operations with simpler linear operations.
Integrated an adaptive list decoding strategy with the list flip approach.

Main Results:

The proposed simplified flip metric in the adaptive list flip (ALF) decoder does not degrade performance compared to the D-SCLF decoder.
The ALF decoder effectively corrects high-order errors.
Theoretical analysis and simulations confirm reduced average complexity for the ALF decoder.

Conclusions:

The adaptive list flip (ALF) decoder offers a superior trade-off between performance and complexity for polar codes.
The simplified flip metric enhances the practical applicability of advanced list flip decoders.
The ALF decoder presents a viable solution for efficient polar code decoding in systems with limited code lengths.