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**Harvard**

Rydström, M., Ström, E. och Svensson, A. (2006) *Robust Sensor Network Positioning Based on Projections Onto Circular and Hyperbolic Convex Sets*.

** BibTeX **

@conference{

Rydström2006,

author={Rydström, Mats and Ström, Erik G. and Svensson, Arne},

title={Robust Sensor Network Positioning Based on Projections Onto Circular and Hyperbolic Convex Sets},

booktitle={Proceedings IEEE Signal Processing Advances in Wireless Communications, Cannes, France},

abstract={We consider the problem of locating a signal-source node, using characteristic signals emitted by the node that are captured by a set of sensor nodes. This estimation problem has often been formulated as a weighted least-squares problem in the literature. Received signal strength and asynchronous time-of-arrival measurements, however,
give rise to objective functions with multiple local minima and saddle-points, complicating the optimization process. Recently, the method of projection onto convex sets (POCS) was suggested as a means to estimate source position, when received signal strength measurements are available. POCS has been shown to be robust to local minima in the objective function, is of low complexity, and is possible to distribute over the sensor nodes in the network. The
drawback of POCS, when convex sets bounded by circles are used, is its poor performance in locating source nodes outside the outer perimeter of sensor nodes. We propose an extension to the presented POCS algorithm, called hyperbolic POCS, that increases the performance of circular POCS, allows for positioning of source nodes outside the outer perimeter of sensor nodes, and is applicable also for the case of asynchronous time-of-arrival measurements. },

year={2006},

}

** RefWorks **

RT Conference Proceedings

SR Electronic

ID 22023

A1 Rydström, Mats

A1 Ström, Erik G.

A1 Svensson, Arne

T1 Robust Sensor Network Positioning Based on Projections Onto Circular and Hyperbolic Convex Sets

YR 2006

T2 Proceedings IEEE Signal Processing Advances in Wireless Communications, Cannes, France

AB We consider the problem of locating a signal-source node, using characteristic signals emitted by the node that are captured by a set of sensor nodes. This estimation problem has often been formulated as a weighted least-squares problem in the literature. Received signal strength and asynchronous time-of-arrival measurements, however,
give rise to objective functions with multiple local minima and saddle-points, complicating the optimization process. Recently, the method of projection onto convex sets (POCS) was suggested as a means to estimate source position, when received signal strength measurements are available. POCS has been shown to be robust to local minima in the objective function, is of low complexity, and is possible to distribute over the sensor nodes in the network. The
drawback of POCS, when convex sets bounded by circles are used, is its poor performance in locating source nodes outside the outer perimeter of sensor nodes. We propose an extension to the presented POCS algorithm, called hyperbolic POCS, that increases the performance of circular POCS, allows for positioning of source nodes outside the outer perimeter of sensor nodes, and is applicable also for the case of asynchronous time-of-arrival measurements.

LA eng

DO 10.1109/SPAWC.2006.346399

LK http://dx.doi.org/10.1109/SPAWC.2006.346399

OL 30