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Related Experiment Video

Updated: Sep 26, 2025

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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Higher-Order Belief Propagation Correction Decoder for Polar Codes.

Meng Zhang1, Zhuo Li1, Lijuan Xing1

  • 1The State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an 710071, China.

Entropy (Basel, Switzerland)
|April 23, 2022
PubMed
Summary
This summary is machine-generated.

A modified belief propagation correction (BPC) decoder improves polar code performance with reduced complexity and latency. Higher-order versions offer competitive block error rate (BLER) with lower latency overhead compared to existing methods.

Keywords:
belief propagation decodinghigher-order correctionpolar codepost-processing

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Area of Science:

  • Coding Theory
  • Information Theory
  • Digital Communications

Background:

  • Belief propagation (BP) decoding for polar codes offers parallelism but lags behind successive cancellation list (SCL) decoding in performance.
  • BP correction (BPC) decoding enhances BP by correcting prior knowledge, improving convergence but increasing latency.
  • Existing BPC decoders show better performance than BP-based bit-flipping decoders but suffer from higher latency.

Purpose of the Study:

  • To propose a modified BP correction (BPC) decoder that reduces decoding attempts and latency.
  • To introduce a new metric for effectively identifying corrected locations in BPC decoding.
  • To extend the modified BPC decoder to a higher-order version (MBPC-Ω) for improved performance.

Main Methods:

  • Redefining correction rules in the BPC decoder to minimize decoding attempts.
  • Designing a novel metric for accurate identification of bit correction locations.
  • Developing a higher-order modified BPC decoder (MBPC-Ω) with adjustable correction order.

Main Results:

  • The modified BPC decoder achieves a slight improvement in block error rate (BLER) with significantly reduced average complexity.
  • The higher-order MBPC-Ω decoder matches the BLER performance of multiple bit-flipping BP decoders at approximately half the latency.
  • The MBPC-2 decoder outperforms cyclic redundancy check-aided SCL (CA-SCL) with list size 4 and approaches CA-SCL with list size 8, with substantially lower latency.

Conclusions:

  • The modified BPC decoder effectively reduces latency while maintaining or slightly improving BLER performance.
  • Higher-order MBPC decoders provide a favorable trade-off between performance and latency, outperforming existing methods in specific scenarios.
  • The proposed MBPC-2 decoder presents a compelling alternative to CA-SCL decoders, especially when latency is a critical factor.