Tracking of a Mobile Target Using Generalized Polarization Tensors

TL;DR

This paper presents a method for tracking a mobile target's position and orientation using generalized polarization tensors and an extended Kalman filter, analyzing stability issues related to limited-view measurements.

Contribution

The paper introduces a novel tracking algorithm leveraging generalized polarization tensors reconstructed from multistatic responses, with stability analysis under limited-view conditions.

Findings

Low order polarization tensors are robust to measurement noise.

The proposed method effectively tracks target location and orientation.

Limited-view effects impact tracking stability and efficiency.

Abstract

In this paper we apply an extended Kalman filter to track both the location and the orientation of a mobile target from multistatic response measurements. We also analyze the effect of the limited-view aspect on the stability and the efficiency of our tracking approach. Our algorithm is based on the use of the generalized polarization tensors, which can be reconstructed from the multistatic response measurements by solving a linear system. The system has the remarkable property that low order generalized polarization tensors are not affected by the error caused by the instability of higher orders in the presence of measurement noise.