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Transmitter Actions for Secure Integrated Sensing and Communication

Truman Welling, Onur Günlü, Aylin Yener

TL;DR

This work models secure integrated sensing and communication (ISAC) as a state-dependent wiretap channel with action-driven states and perfect channel output feedback. The transmitter simultaneously sends a common and a secure message, with actions $A_i$ determined from $(M,Z^{i-1})$ to influence the state and improve the legitimate receiver’s advantage; security is enforced against an eavesdropper, and distortions in state estimation are controlled. Using the Output Statistics of Random Binning (OSRB) framework and block-Markov coding, the authors derive single-letter secrecy-distortion regions for physically-degraded and reversely-physically-degraded ISAC channels under partial secrecy and full secrecy, and provide corresponding rate regions for the full secrecy case. A binary, noiseless example demonstrates computable secrecy-distortion regions, illustrating practical implications for secure beamforming and sensing in ISAC systems.

Abstract

This work models a secure integrated sensing and communication (ISAC) system as a wiretap channel with action-dependent channel states and channel output feedback, e.g., obtained through reflections. The transmitted message is split into a common and a secure message, both of which must be reliably recovered at the legitimate receiver, while the secure message needs to be kept secret from the eavesdropper. The transmitter actions, such as beamforming vector design, affect the corresponding state at each channel use. The action sequence is modeled to depend on both the transmitted message and channel output feedback. For perfect channel output feedback, the secrecy-distortion regions are provided for physically-degraded and reversely-physically-degraded secure ISAC channels with transmitter actions. The corresponding rate regions when the entire message should be kept secret are also provided. The results are illustrated through characterizing the secrecy-distortion region of a binary example.

Transmitter Actions for Secure Integrated Sensing and Communication

TL;DR

This work models secure integrated sensing and communication (ISAC) as a state-dependent wiretap channel with action-driven states and perfect channel output feedback. The transmitter simultaneously sends a common and a secure message, with actions determined from to influence the state and improve the legitimate receiver’s advantage; security is enforced against an eavesdropper, and distortions in state estimation are controlled. Using the Output Statistics of Random Binning (OSRB) framework and block-Markov coding, the authors derive single-letter secrecy-distortion regions for physically-degraded and reversely-physically-degraded ISAC channels under partial secrecy and full secrecy, and provide corresponding rate regions for the full secrecy case. A binary, noiseless example demonstrates computable secrecy-distortion regions, illustrating practical implications for secure beamforming and sensing in ISAC systems.

Abstract

This work models a secure integrated sensing and communication (ISAC) system as a wiretap channel with action-dependent channel states and channel output feedback, e.g., obtained through reflections. The transmitted message is split into a common and a secure message, both of which must be reliably recovered at the legitimate receiver, while the secure message needs to be kept secret from the eavesdropper. The transmitter actions, such as beamforming vector design, affect the corresponding state at each channel use. The action sequence is modeled to depend on both the transmitted message and channel output feedback. For perfect channel output feedback, the secrecy-distortion regions are provided for physically-degraded and reversely-physically-degraded secure ISAC channels with transmitter actions. The corresponding rate regions when the entire message should be kept secret are also provided. The results are illustrated through characterizing the secrecy-distortion region of a binary example.
Paper Structure (10 sections, 5 theorems, 96 equations, 1 figure)

This paper contains 10 sections, 5 theorems, 96 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Problem Definition
  3. ISAC with Action-dependent States Under Partial Secrecy
  4. ISAC with Action-dependent States Under Full Secrecy
  5. Binary Noiseless Secure ISAC Channels with Action-dependent States
  6. Proof of Theorem \ref{['theo:PSPOFPhysDegraded']}
  7. Proof of Theorem \ref{['theo:PSPOFRevPhysDegraded']}
  8. Proof of Theorem \ref{['theo:PDfullsecrecy']}
  9. Proof of Theorem \ref{['theo:RPDfullsecrecy']}
  10. Proof of Lemma \ref{['lem:BinaryExample']}

Key Result

Theorem 1

(Physically-degraded): For a physically-degraded ISAC channel with strictly causal feedback available at the action and channel encoders, $\mathcal{R}_{\textnormal{PS,Act}}$ is the union over all joint distributions $P_{VAX}$ of the rate tuples $(R_{1}, R_{2},D_1,D_2)$ satisfying where we have and one can use the deterministic per-letter estimators $\mathsf{Est}_j(a,x,y_1,y_2)=~\hat{s}_j$ for $j

Figures (1)

  • Figure 1: Secure ISAC model with action-dependent states under partial secrecy, where $M=(M_1,M_2)$ and only $M_2$ should be kept secret from Eve, for $i~=~[1:n]$. The action, $A_i$, is a random function of $(M,Z_{i-1})$. The channel input, $X_i$, is a random function of $(M,Z_{i-1},A_i)$. We consider ISAC with perfect output feedback, where $Z_{i-1}=(Y_{1,i-1},Y_{2,i-1})$.

Theorems & Definitions (10)

  • Definition 1
  • Remark 1
  • Definition 2
  • Theorem 1
  • Remark 2
  • Theorem 2
  • Definition 3
  • Theorem 3
  • Theorem 4
  • Lemma 1