Abstract

Information from a passive linear array sensor is related to the conic angle formed by a target and the sensor in three-dimensional (3D) space so that the target localization system using the sensor should be also designed in 3D space. This paper presents an observability study of a passive target localization system created using conic angle information. The study includes the analysis of the sensor maneuver requirement needed to achieve system observability and simulations to demonstrate the results of the analytic scheme. The proposed sensor maneuver requirements satisfy the system observability conditions by using the local linearization approach of the Fisher information matrix. It is also shown that this requirement can be mitigated for special cases in which the depth difference between the sensor and the target is given. Using the simulation, it is shown that sensors following the proposed scheme are able to obtain meaningful information that can be used to estimate 3D target states.

Highlights

  • Observability Study on Passive TargetAs passive sensors can detect a target without transmitting signals, they are widely used in surveillance areas where the sensor needs to be concealed

  • (BoTMA) is a representative type of the 2D target motion analysis (TMA), which assumes that the target and the sensor exist on the same plane used for estimating target states using in-plane azimuth information

  • Most previous TMA-related studies have focused on proposing estimation algorithms to overcome system nonlinearity or on analyzing system observability to prove the possibility of estimating target states using the given information

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Summary

Introduction

As passive sensors can detect a target without transmitting signals, they are widely used in surveillance areas where the sensor needs to be concealed. Most previous TMA-related studies have focused on proposing estimation algorithms to overcome system nonlinearity or on analyzing system observability to prove the possibility of estimating target states using the given information. This approach uses a Fisher information matrix (FIM) as an observability index and analyzes the nonsigularity condition of the FIM This condition relates to the relative state of the sensor and the target, and a sensor maneuver strategy is proposed to satisfy the system observability requirements. In the anti-ship submarine warfare, the relative depth of the submarine (operator’s own ship) from the surface combatant (target) is equal to the diving depth of the submarine, which is determined by the navigation instrumentation of the ship This information provides a significant advantage in establishing system observability, and this special CoTMA case is defined as conic angle with depth-supported TMA (CDTMA) in this paper. As the motivation of this paper, the influence of the vertical incidence angle for numerical experiments

The2 observability analysissystem of the
System
Target
Sensor
Conventional BoTMA Using the Conic Angle Measurements
Error Analysis for Single Scan
Error Analysis for Multiple Scans
Observability
Observability Analysis with Local Linearization
Practical
Observability Analysis for the CDTMA Systems
Numerical Experiments
Simulation I
Simulation
10. Simulation
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