Abstract

All existing hybrid target localization algorithms using received signal strength (RSS) and angle of arrival (AOA) measurements in wireless sensor networks, to the best of our knowledge, assume a single target such that even in the presence of multiple targets, the target localization problem is translated to multiple single-target localization problems by assuming that multiple measurements in a node are identified with their originated targets. Herein, we first consider the problem of multi-target localization when each anchor node contains multiple RSS and AOA measurement sets of unidentified origin. We propose a computationally efficient method to cluster RSS/AOA measurement sets that originate from the same target and apply the existing single-target linear hybrid localization algorithm to estimate multiple target positions. The complexity analysis of the proposed algorithm is presented, and its performance under various noise environments is analyzed via simulations.

Highlights

  • Outstanding developments in linear estimation algorithms have been realized for the localization of a target using both received signal strength (RSS) and angle of arrival (AOA) measurements of sensors in Wireless sensor networks (WSNs), i.e., a feature that was not originally designed for target localization [9,10]

  • Most existing studies regarding multi-target detection in WSNs assume that the targets are sparsely located over networks and, each anchor node contains a single set of RSS/AOA measurements from a single target

  • In the presence of multiple targets, we assume that each anchor node receives signals from the targets, and the RSS, azimuth angle, and elevation angle are measured from these signals

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Summary

System Model and Problem Setting

In the presence of multiple targets, we assume that each anchor node receives signals from the targets, and the RSS, azimuth angle, and elevation angle are measured from these signals. Let us denote the RSS, azimuth angle, and elevation angle from the m-th received signal as Pim , φim , and αim , respectively. The RSS can be viewed as a function of the target and anchor node positions using a path-loss model. When every RSS/AOA measurement set ( Pim , φim , αim ) is identifiable by the originated target xm , the multi-target localization problem can be solved based on M single-target localization problems. When M RSS/AOA measurement sets in each anchor node are not identifiable by their originated targets, M linear equations corresponding to M targets cannot be established separately based on the measurements. We propose a computationally efficient multi-target localization method that exhibits total polynomial complexity of M and N

Proposed Method
Estimation of Initial Targets
Measurements Clustering Based on Initial Targets
Final Target Estimation Based on Measurements Clustering
Complexity Analysis
Simulation Results
Conclusions
Full Text
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