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Coding for channels with intermittent feedback and its security analysis
Jianwen Yang1, Qiang Huang1, Yating Lin2
1Geely University of China, Chengdu, China.
Plos One
|April 29, 2026
Summary
This study introduces new Schalkwijk-Kailath (SK) type schemes for communication channels with intermittent feedback. These schemes offer improved coding efficiency and secrecy, outperforming traditional LDPC codes.
Area of Science:
- Information Theory
- Coding Theory
- Wireless Communications
Background:
- The Schalkwijk-Kailath (SK) scheme is known for its capacity-achieving performance and low complexity in Additive White Gaussian Noise (AWGN) channels with perfect feedback.
- Extending the SK scheme to practical scenarios with imperfect feedback (intermittent or noisy) presents significant challenges.
- Existing codes like LDPC and Polar codes, while effective, have limitations in certain performance aspects compared to the ideal SK scheme.
Purpose of the Study:
- To design and analyze SK-type coding schemes for channels with intermittent, noise-free, and noisy feedback.
- To establish performance relationships between coding blocklength, decoding error probability, transmission rate, and secrecy level.
- To evaluate the achievable secrecy level using normalized equivocation as a metric.
Main Methods:
- Development of a modified SK scheme for AWGN channels with intermittent noise-free feedback.
- Extension of the proposed scheme to handle noisy intermittent feedback scenarios.
- Analytical characterization of achievable transmission rates and secrecy levels.
- Quantitative evaluation using normalized equivocation to measure secrecy performance.
Main Results:
- A novel SK-type scheme is proposed for channels with intermittent feedback, achieving a characterized achievable rate.
- The scheme is successfully extended to noisy intermittent feedback channels.
- Perfect weak secrecy is demonstrated to be achievable under specific conditions.
- Numerical results show lower SNR and shorter blocklengths compared to LDPC codes for a target error probability.
Conclusions:
- The proposed SK-type schemes offer an efficient approach for channels with intermittent feedback, balancing coding complexity, error probability, and secrecy.
- These schemes provide a viable alternative to existing codes like LDPC, especially in scenarios demanding high secrecy and efficiency.
- The research provides a foundation for constructing advanced coding schemes for practical communication systems with imperfect feedback.
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