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Secure Semantic Communication over Wiretap Channel

Denis Kozlov, Mahtab Mirmohseni, Rahim Tafazolli

TL;DR

This paper characterize information-theoretic limits for the secure transmission of a semantic source over a wiretap channel and reduces the general region to the case of Gaussian source and Gaussian wiretap channel and provides numerical evaluations.

Abstract

Semantic communication is a new paradigm for information transmission that integrates the essential meaning (semantics) of the message into the communication process. However, like in classic wireless communications, the open nature of wireless channels poses security risks for semantic communications. In this paper, we characterize information-theoretic limits for the secure transmission of a semantic source over a wiretap channel. Under separate secrecy and distortion constrains for semantics and observed data, we present general inner and outer bounds on the rate-distortion-equivocation region. We also reduce the general region to the case of Gaussian source and Gaussian wiretap channel and provide numerical evaluations.

Secure Semantic Communication over Wiretap Channel

TL;DR

This paper characterize information-theoretic limits for the secure transmission of a semantic source over a wiretap channel and reduces the general region to the case of Gaussian source and Gaussian wiretap channel and provides numerical evaluations.

Abstract

Semantic communication is a new paradigm for information transmission that integrates the essential meaning (semantics) of the message into the communication process. However, like in classic wireless communications, the open nature of wireless channels poses security risks for semantic communications. In this paper, we characterize information-theoretic limits for the secure transmission of a semantic source over a wiretap channel. Under separate secrecy and distortion constrains for semantics and observed data, we present general inner and outer bounds on the rate-distortion-equivocation region. We also reduce the general region to the case of Gaussian source and Gaussian wiretap channel and provide numerical evaluations.
Paper Structure (11 sections, 9 theorems, 77 equations, 3 figures)

This paper contains 11 sections, 9 theorems, 77 equations, 3 figures.

Table of Contents

  1. Introduction
  2. Problem statement
  3. Main Results
  4. Gaussian Case
  5. System model
  6. Rate-distortion-equivocation region
  7. Numerical evaluation
  8. Conclusion
  9. Proof of Theorem \ref{['theorem:converse']}
  10. Proofs of Lemma \ref{['lemma:secrecy-capacity-dpi']} and Lemma \ref{['lemma:csiszar']}
  11. Proof of Theorem \ref{['theorem:direct']}

Key Result

Lemma 1

The rate-distortion function for discrete memoryless source (DMS) $U$ has the following form

Figures (3)

  • Figure 1: Information-theoretic system model for communication of semantic sources over a wiretap channel with two distortion constrains at the legitimate receiver and two equivocation constrains at the eavesdropper. Two different transmitter input cases are considered: access to both semantic part and observation, and access only to observation.
  • Figure 2: Converse bound for Gaussian system model with full semantic secrecy. The encoder has access only to the observed part.
  • Figure 3: Achievable bound for Gaussian system model with full semantic secrecy. The encoder has access to both semantic and observed part.

Theorems & Definitions (11)

  • Definition 1
  • Definition 2
  • Lemma 1: gamal2011
  • Lemma 2: elgamal1982
  • Lemma 3: liu2022indirect
  • Theorem 1
  • Theorem 2
  • Proposition 1: Gaussian Converse
  • Proposition 2: Gaussian Achievability
  • Lemma 4
  • ...and 1 more