# Enhanced projectile path estimation using multi-vehicle FMCW radar sensors

**Authors:** Amgad A. Salama, Mahmoud A. Hussein

PMC · DOI: 10.1038/s41598-025-20772-6 · Scientific Reports · 2026-02-02

## TL;DR

This paper improves the accuracy of tracking projectile paths using radar sensors on multiple vehicles, which helps military systems respond more effectively to threats.

## Contribution

A multi-vehicle FMCW radar approach that reduces path estimation errors by 75% compared to single-vehicle systems.

## Key findings

- A four-vehicle formation reduces error in pass range, pass time, and velocity by about 75%.
- Multi-sensor triangulation improves estimation for projectiles with linear trajectories.
- The method is compatible with existing FMCW radar and data fusion algorithms for practical deployment.

## Abstract

This paper presents an enhanced approach to projectile path estimation using Frequency-Modulated Continuous Wave (FMCW) radar sensors distributed across multiple vehicles in a tactical formation. Building upon established FMCW radar signal processing techniques, we implement and analyze a multi-sensor approach that significantly improves the accuracy of key path parameters: pass range, pass time, and velocity. Through detailed simulation, we demonstrate that a four-vehicle formation achieves approximately 75% error reduction across all parameters compared to single-vehicle sensing. This improvement directly enhances the performance of active protection systems for military vehicles by enabling more precise threat assessment and countermeasure deployment. Our results validate theoretical predictions that triangulation from multiple sensing positions provides more robust parameter estimation, particularly for projectiles with linear trajectories. The methods described can be implemented with existing FMCW radar technology and standard data fusion algorithms, making this approach practical for near-term deployment.

## Full-text entities

- **Diseases:** Clutter (MESH:D013064)
- **Chemicals:** APS (-), diamond (MESH:D018130)

## Full text

_Full body text omitted from this summary view._ Fetch the complete paper as Markdown: https://tomesphere.com/paper/PMC12867980/full.md

## Figures

15 figures with captions in the complete paper: https://tomesphere.com/paper/PMC12867980/full.md

## References

1 references — full list in the complete paper: https://tomesphere.com/paper/PMC12867980/full.md

---
Source: https://tomesphere.com/paper/PMC12867980