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An optimized initialization for LDPC decoding over GF(q) in impulsive noise environments.

Haoqiang Liu1, Hongbo Zhao1,2, Xiaowen Chen1

  • 1School of Electronic and Information Engineering, Beihang University, Beijing, P. R. China.

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|May 6, 2021
PubMed
Summary
This summary is machine-generated.

Optimized initialization improves non-binary low-density parity-check (LDPC) decoding for navigation systems facing impulsive noise. This method enhances reliability over traditional binary LDPC codes in additive white Class A noise (AWAN) channels.

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Area of Science:

  • Electrical Engineering
  • Information Theory
  • Satellite Communications

Background:

  • Navigation satellite communication relies on high transmitting rates, necessitating robust error correction like low-density parity-check (LDPC) codes.
  • Conventional LDPC decoding, optimized for additive white Gaussian noise (AWAN) channels, performs poorly in impulsive noise environments common in navigation systems.
  • Impulsive interference significantly degrades navigation signal reliability, making Gaussian noise assumptions inadequate.

Purpose of the Study:

  • To address the limitations of conventional LDPC decoding in impulsive noise environments.
  • To investigate the performance of non-binary LDPC codes over GF(q) for enhanced burst error resistance in navigation systems.
  • To propose and evaluate an optimized initialization method for non-binary LDPC decoding on additive white Class A noise (AWAN) channels.

Main Methods:

  • Developed an optimized initialization technique for non-binary LDPC decoding by calculating posterior probabilities of received symbols.
  • Conducted extensive experiments to evaluate the proposed method's convergence, validity, and robustness.
  • Compared the performance of the optimized non-binary LDPC decoding against conventional methods and binary LDPC codes on AWAN channels.

Main Results:

  • The proposed optimized initialization significantly enhances the performance of non-binary LDPC decoding on AWAN channels.
  • The decoding algorithm with optimized initialization demonstrates superior convergence, validity, and robustness compared to competing methods.
  • Non-binary LDPC codes with the optimized initialization outperform binary LDPC codes in the presence of AWAN.

Conclusions:

  • The optimized initialization method is effective for non-binary LDPC decoding in impulsive noise environments.
  • Non-binary LDPC codes offer a promising solution for improving the reliability of navigation satellite communication systems.
  • This research contributes to more robust and reliable navigation communication through advanced error correction coding techniques.