Distribution-Preserving Integrated Sensing and Communication with Secure Reconstruction

TL;DR

This paper explores a novel distribution-preserving approach to integrated sensing and communication systems, balancing communication rate, distortion, and security while maintaining the statistical properties of channel states.

Contribution

It introduces a new distribution-preserving capacity-distortion framework and provides bounds and special cases, including secure reconstruction against eavesdroppers.

Findings

Derived inner bounds for the capacity-distortion region.

Demonstrated the tradeoff between rate, distortion, and distribution preservation.

Presented a capacity-achieving case with security considerations.

Abstract

Distribution-preserving integrated sensing and communication with secure reconstruction is investigated in this paper. In addition to the distortion constraint, we impose another constraint on the distance between the reconstructed sequence distribution and the original state distribution to force the system to preserve the statistical property of the channel states. An inner bound of the distribution-preserving capacity-distortion region is provided with some capacity region results under special cases. A numerical example demonstrates the tradeoff between the communication rate, reconstruction distortion and distribution preservation. Furthermore, we consider the case that the reconstructed sequence should be kept secret from an eavesdropper who also observes the channel output. An inner bound of the tradeoff region and a capacity-achieving special case are presented.