On General Capacity-Distortion Formulas of Integrated Sensing and Communication

TL;DR

This paper derives general capacity-distortion formulas for integrated sensing and communication systems with various state and channel distributions, extending existing models and providing numerical insights.

Contribution

It introduces comprehensive capacity-distortion formulas for ISAC under broad conditions, including memory, mixed states, and rate-limited CSI, unifying and extending prior models.

Findings

Formulas applicable to point-to-point and Gel'fand-Pinsker channels

Numerical analysis on writing-on-dirty paper and fading channels

Coverage of memoryless, mixed, and rate-limited CSI scenarios

Abstract

The integrated sensing and communication (ISAC) problem with general state and channel distributions is investigated. General formulas of the capacity-distortion tradeoff for the ISAC problem under maximal and average distortion constraints are provided. The results cover some existing communication models such as the general point-to-point channel and Gel'fand-Pinsker channel. More details including memoryless states and channels, mixed states and channels, and rate-limited CSI at one side are considered. Numerical results focus on writing-on-dirty paper model and channel with ergodic/non-ergodic fading.