# Optimal Detection of UAV's Transmission with Beam Sweeping in Wireless Networks

## TL;DR

This paper proposes an optimal beam sweeping detection strategy using multiple antennas to identify UAV transmissions in wireless networks, deriving closed-form error probabilities and revealing an optimal sector number for improved detection accuracy.

## Contribution

It introduces a novel detection method based on beamforming and sector division, with a closed-form error probability and insights into optimal sector number for UAV detection.

## Key findings

- Existence of an optimal number of sectors for detection accuracy
- Closed-form expression for detection error probability
- Detection performance improves with optimal sector division

## Abstract

In this work, an detection strategy based on multiple antennas with beam sweeping is developed to detect UAV's potential transmission in wireless networks. Specifically, suspicious angle range where the UAV may present is divided into different sectors to potentially increase detection accuracy by using beamforming gain. We then develop the optimal detector and derive its detection error probability in a closed-form expression. We also utilize the Pinsker's inequality and Kullback-Leibler divergence to yield low-complex approximation for the detection error probability, based on which we obtain some significant insights on the detection performance. Our examination shows that there exists an optimal number of sectors that can minimize the detection error probability in some scenarios (e.g., when the number of measurements is limited). Intuitively, this can be explained by the fact that there exists an optimal accuracy of the telescope used to find an object in the sky within limited time period.