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CRC-Aided Adaptive BP Decoding of PAC Codes.

Xianwen Zhang1, Ming Jiang1,2, Mingyang Zhu1

  • 1The National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China.

Entropy (Basel, Switzerland)
|August 26, 2022
PubMed
Summary
This summary is machine-generated.

This study enhances short polarization-adjusted convolutional (PAC) codes by integrating cyclic redundancy check (CRC) bits. The new CRC-aided adaptive belief propagation (CA-ABP) decoding improves error performance and reduces complexity for practical applications.

Keywords:
CRC-aidedPAC codesadaptive belief propagationlist decoding

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Area of Science:

  • Coding Theory
  • Information Theory
  • Digital Communications

Background:

  • Long polar codes achieve channel capacity, but short blocklength polar codes show suboptimal performance.
  • Polarization-adjusted convolutional (PAC) codes were introduced to improve short blocklength performance.
  • Cyclic redundancy check (CRC) codes are crucial for error detection in practical communication systems.

Purpose of the Study:

  • To enhance the performance of short PAC codes concatenated with CRC outer codes (CRC-PAC codes).
  • To develop an efficient decoding algorithm for CRC-PAC codes that balances performance and complexity.
  • To ensure robust error detection capabilities alongside improved error correction.

Main Methods:

  • Proposed an enhanced adaptive belief propagation (ABP) decoding algorithm utilizing CRC bits for PAC codes.
  • Derived joint parity-check matrices for CRC-PAC codes to facilitate iterative BP decoding.
  • Investigated the use of partial CRC bits within the CA-ABP decoding process.

Main Results:

  • The proposed CRC-aided ABP (CA-ABP) decoding algorithm significantly improves error performance for short CRC-PAC codes.
  • Effective error detection is maintained by the remaining CRC bits and adaptive decoding parameters.
  • The CA-ABP scheme offers a substantial reduction in computational complexity compared to conventional CRC-aided list (CA-List) decoding.

Conclusions:

  • The CA-ABP decoding algorithm provides a superior trade-off between performance and complexity for short CRC-PAC codes.
  • This approach enhances the practicality of PAC codes in applications requiring robust error detection.
  • The derived joint parity-check matrices support efficient iterative decoding.