Robust Power Allocation for UAV-aided ISAC Systems with Uncertain Location Sensing Errors

TL;DR

This paper develops robust power allocation schemes for UAV-assisted ISAC systems, optimizing location sensing accuracy and communication performance under uncertain sensing errors using advanced optimization techniques.

Contribution

It introduces three novel robust power allocation methods tailored for different location sensing error models in UAV-aided ISAC systems, addressing non-convex optimization challenges.

Findings

Proposed robust schemes outperform non-robust designs in simulations.

The methods effectively balance communication and sensing trade-offs.

Robustness against sensing errors is significantly improved.

Abstract

Unmanned aerial vehicle (UAV) holds immense potential in integrated sensing and communication (ISAC) systems for the Internet of Things (IoT). In this paper, we propose a UAV-aided ISAC framework and investigate three robust power allocation schemes. First, we derive an explicit expression of the Cram\'er-Rao bound (CRB) based on time-of-arrival (ToA) estimation, which serves as the performance metric for location sensing. Then, we analyze the impact of the location sensing error (LSE) on communications, revealing the inherent coupling relationship between communication and sensing. Moreover, we formulate three robust communication and sensing power allocation problems by respectively characterizing the LSE as an ellipsoidal distributed model, a Gaussian distributed model, and an arbitrary distributed model. Notably, the optimization problems seek to minimize the CRB, subject to data rate and total power constraints. However, these problems are non-convex and intractable. To address the challenges related to the three aforementioned LSE models, we respectively propose to use the ${\cal{S}}$-Procedure and alternating optimization (${\cal{S}}$-AO) method, Bernstein-type inequality and successive convex approximation (BI-SCA) method, and conditional value-at-risk (CVaR) and AO (CVaR-AO) method to solve these problems. Finally, simulation results demonstrate the robustness of our proposed UAV-aided ISAC system against the LSE by comparing with the non-robust design, and evaluate the trade-off between communication and sensing in the ISAC system.