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Pre-Configured Error Pattern Ordered Statistics Decoding for CRC-Polar Codes.

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Entropy (Basel, Switzerland)
|October 28, 2023
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Summary
This summary is machine-generated.

We introduce a new Pre-configured Error Pattern Ordered Statistics Decoding (PEPOSD) algorithm for cyclic redundancy check (CRC)-polar codes. This method offers a superior balance between decoding accuracy and computational complexity compared to existing techniques.

Keywords:
GRANDOSDchannel decodingpolar code

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Area of Science:

  • Coding Theory
  • Information Theory
  • Digital Communications

Background:

  • Ordered Statistics Decoding (OSD) traditionally modifies reliable symbols.
  • Cyclic Redundancy Check (CRC) and polar codes are crucial for error detection and correction.

Purpose of the Study:

  • To introduce a novel Pre-configured Error Pattern Ordered Statistics Decoding (PEPOSD) algorithm.
  • To enhance the decoding performance for short CRC-polar codes.

Main Methods:

  • Developed a PEPOSD algorithm that tests error patterns instead of modifying symbols.
  • Utilized a pre-configurator inspired by Ordered Reliability Bits (ORB) GRAND for controlled error pattern testing.
  • Implemented an offline-online structure to accelerate decoding.
  • Introduced two optimized search orders for error pattern testing.

Main Results:

  • PEPOSD demonstrates improved performance over traditional OSD.
  • The algorithm achieves a better trade-off between accuracy and complexity compared to CRC-aided OSD and list decoding.
  • The pre-configurator effectively controls the range and order of error pattern tests.

Conclusions:

  • PEPOSD offers a promising advancement in decoding algorithms for CRC-polar codes.
  • The proposed method provides a more efficient and accurate decoding solution.
  • This algorithm is particularly beneficial for applications requiring a balance between performance and complexity.