English

Secure Joint Source-Channel Coding for the AWGN Channel with Feedback: A Finite Blocklength Analysis

Information Theory 2026-01-15 v2 math.IT

Abstract

In the literature, it has been shown that the secrecy capacity of the additive white Gaussian noise (AWGN) wiretap channel with noise-free feedback equals the capacity of the same model without secrecy constraint, and the classical Schalkwijk-Kailath (SK) scheme achieves the secrecy capacity. In this paper, we show that in finite blocklength regime, the SK scheme is not optimal, and propose a modified SK scheme which may perform better than the classical one. Besides this, this paper establishes a finite blocklength converse for the AWGN wiretap channel with feedback, which can also be viewed as a converse for the same model without secrecy constraint. To the best of the authors' knowledge, this is the first paper to address such a problem, and the results of this paper are further explained via numerical examples.

Keywords

Cite

@article{arxiv.2601.07472,
  title  = {Secure Joint Source-Channel Coding for the AWGN Channel with Feedback: A Finite Blocklength Analysis},
  author = {Sheng Su and Yuhan Yang and Chao Qi and Xuan He and Bin Dai and Xiaohu Tang},
  journal= {arXiv preprint arXiv:2601.07472},
  year   = {2026}
}
R2 v1 2026-07-01T09:00:38.173Z