Robust Sensor Network Positioning Based on Projections Onto Circular and Hyperbolic Convex Sets
Paper in proceedings, 2006

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.

Author

Mats Rydström

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

Erik Ström

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

Arne Svensson

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

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

4153916

Subject Categories

Signal Processing

DOI

10.1109/SPAWC.2006.346399

ISBN

078039710X

More information

Created

10/7/2017