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Semantic Channel Capacity of Rayleigh Fading Channels Based on Synonymous Mapping.

Yuxin Han1,2, Sen Wang3, Yaping Sun2

  • 1Key Laboratory of Universal Wireless Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China.

Entropy (Basel, Switzerland)
|June 26, 2026
PubMed
Summary

This study explores semantic information theory (SIT) for Rayleigh fading channels, enhancing communication limits using synonymous mapping. Researchers derived semantic capacity formulas and optimized partitions via neural networks, achieving 9.86 sebits/s/Hz.

Keywords:
Rayleigh fading channelsemantic channel capacitysemantic communicationsemantic information theory

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Area of Science:

  • Information Theory
  • Wireless Communications
  • Machine Learning

Background:

  • Classical information theory (CIT) focuses on syntactic accuracy.
  • Semantic information theory (SIT) evaluates communication fidelity via synonymous mapping.
  • Rayleigh fading channels present challenges in wireless communication.

Purpose of the Study:

  • Investigate semantic channel capacity in Rayleigh fading channels using synonymous mapping.
  • Derive semantic capacity formulas for channel gain and additive noise.
  • Optimize synonymous partitions for improved communication fidelity.

Main Methods:

  • Derived semantic capacity formulas and bounds using Jensen's inequality.
  • Formulated partition design as a constrained optimization problem.
  • Employed a neural network with the Adam optimizer for numerical solutions.

Main Results:

  • Established semantic capacity formulas for synonymous mapping of channel gain and additive noise.
  • Achieved a semantic capacity of 9.86 sebits/s/Hz at 20-dB SNR with K=8 and J=4 intervals.
  • Demonstrated the framework's compatibility with both CIT and SIT.

Conclusions:

  • Synonymous mapping enhances semantic channel capacity in Rayleigh fading channels.
  • The proposed neural network approach effectively optimizes synonymous partitions.
  • SIT offers a valuable perspective for optimizing wireless communication systems.