Abstract

This paper investigates a sensor selection scheme for optimal target localization with three-dimensional (3-D) Angle of Arrival (AOA) estimation in Underwater Wireless Sensor Networks (UWSN). Specifically, we present a new 3-D AOA-based localization measurement model, which considers correlated noises and Gaussian priors. The trace of Cramer–Rao lower bound (CRLB) for the 3-D AOA measurement model is derived by introducing a special vector to denote the selected sensors with the azimuth and elevation angle measurements. Based on the presenting expressions of the CRLB, we formulate the sensor selection problem as an optimization problem, which has been transformed into the semidefinite problem program by convex relaxation, and a randomization method is adopted to improve the quality of the SDP solution. Simulation results illustrate that the proposed method receives better estimation performance over the reference methods and approaches the exhaustive search method.

Highlights

  • Eng. 2022, 10, 245. https://doi.org/Underwater Wireless Sensor Network (UWSN) has become an active research area in recent years [1,2] and it has many potential applications in underwater security [3], ocean resource exploration [4], etc

  • Motivated by the observations above, in this paper, we focus on the sensor selection problem using the 3-D AOA-based localization with correlated measurement noise in Underwater Wireless Sensor Networks (UWSN)

  • The trace of Cramer–Rao lower bound (CRLB) is used as the objective function when the number of selected sensors is fixed

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Summary

Introduction

Underwater Wireless Sensor Network (UWSN) has become an active research area in recent years [1,2] and it has many potential applications in underwater security [3], ocean resource exploration [4], etc. In 3-D space, the sensor selection problem becomes more challenging due to the increased size of the Fisher information matrix (two measurements: the azimuth angle and elevation angle), yet the existing AOA-based sensor selection method for 2-D space is not suitable for 3-D space [25]. Motivated by the observations above, in this paper, we focus on the sensor selection problem using the 3-D AOA-based localization with correlated measurement noise in UWSN. In order to solve the AOA-based sensor selection problem in 3-D space, we propose a novel sensor selection method and introduce one Boolean vector with the azimuth angle and elevation angle measurements under correlated noises.

Problem Formulation
Sensor Selection Method for the 3-D AOA-Based Localization
Semidefinite Relaxation for Sensor Selection Problem
Sensor Selection Based on Semidefinite Relaxation Method
Sensor Selection Based on Semidefinite Relaxation with Randomization Method
Complexity Analysis
Simulation Studies
Findings
Conclusions
Full Text
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