Abstract

In this paper, the target node localization problems based on hybrid RSS-AOA measurements in both noncooperative and cooperative three-dimensional (3-D) wireless sensor networks (WSNs) are discussed. By using novel error approximate expressions for both received signal strength (RSS) and angle-of-arrival (AOA) measurement models, new estimators based on the least squares (LS) criterion are proposed. These estimators can be transformed into mixed semi-definite programming (SDP) and second-order cone programming (SOCP) problems by applying convex relaxation techniques. In addition, the closed-form Cramer-Rao lower bound (CRLB) of the estimator on hybrid measurements in cooperative WSNs is also derived. Theoretical analysis and simulation results show that the Root Mean Square Error (RMSE) of the proposed hybrid RSS-AOA estimators is lower than that of the discussed estimators in both noncooperative and cooperative cases.

Highlights

  • Wireless sensor network is a distributed sensor network, which is generally composed of a large number of sensors

  • The Cramer-Rao lower bound (CRLB) on the Root Mean Square Error (RMSE) of any unbiased estimator is employed as a performance benchmark, and the RMSE is used as the main performance indicator of localization algorithms

  • In the noncooperative wireless sensor networks (WSNs), the models (1), (2), (3) are used to generate the received signal strength (RSS) and AOA measurements. We assume that both the target and the anchor nodes are randomly deployed in a region of size 15×15×15m3 in each Monte Carlo (Mc) run, the reference distance d0 = 1m, the path loss L0 = 40dB, and the path loss exponent (PLE) is fixed as γ = 2.5, similar to [20], the true PLE

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Summary

INTRODUCTION

Wireless sensor network is a distributed sensor network, which is generally composed of a large number of sensors. Q. Qi et al.: RSS-AOA-Based Localization via Mixed Semi-Definite and Second-Order Cone Relaxation in 3-D WSNs the location of the target node. Qi et al.: RSS-AOA-Based Localization via Mixed Semi-Definite and Second-Order Cone Relaxation in 3-D WSNs the location of the target node These methods proposed in [16]–[18] were derived only in noncooperative WSNs. In general, the noncooperative localization method has two disadvantages: 1) only one target node can be identified at a time, and 2) only the information transmitted by anchor nodes within the communication range can be utilized, which limits the application of algorithms in large-scale WSNs. In cooperative approaches, each sensor is required more power transmission and has a great dependence on the network structure [2]. 3) We derive the closed-form CRLB of the estimator on hybrid measurements in cooperative WSNs

NONCOOPERATIVE LOCALIZATION
COOPERATIVE LOCALIZATION
COMPLEXITY ANALYSIS
SIMULATION RESULTS
CONCLUSION
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