Deterministic boundary recognition and topology extraction for large sensor networks

We present a new framework for the crucial challenge of self-organization of a large sensor network. The basic scenario can be described as follows: Given a large swarm of immobile sensor nodes that have been scattered in a polygonal region, such as a street network. Nodes have no knowledge of size or shape of the environment or the position of other nodes. Moreover, they have no way of measuring coordinates, geometric distances to other nodes, or their direction. Their only way of interacting with other nodes is to send or to receive messages from any node that is within communication range. The objective is to develop algorithms and protocols that allow self-organization of the swarm into large-scale structures that reflect the structure of the street network, setting the stage for global routing, tracking and guiding algorithms.Our algorithms work in two stages: boundary recognition and topology extraction. All steps are strictly deterministic, yield fast distributed algorithms, and make no assumption on the distribution of nodes in the environment, other than sufficient density.

[1]  Sándor P. Fekete,et al.  Koordinatenfreies Lokationsbewusstsein (Localization without Coordinates) , 2005, it Inf. Technol..

[2]  Jan M. Rabaey,et al.  Robust Positioning Algorithms for Distributed Ad-Hoc Wireless Sensor Networks , 2002, USENIX Annual Technical Conference, General Track.

[3]  Leonidas J. Guibas,et al.  Locating and bypassing routing holes in sensor networks , 2004, IEEE INFOCOM 2004.

[4]  Roger Wattenhofer,et al.  Unit disk graph approximation , 2004, DIALM-POMC '04.

[5]  David Peleg,et al.  Distributed Computing: A Locality-Sensitive Approach , 1987 .

[6]  James Aspnes,et al.  On the Computational Complexity of Sensor Network Localization , 2004, ALGOSENSORS.

[7]  Erik D. Demaine,et al.  Anchor-Free Distributed Localization in Sensor Networks , 2003 .

[8]  David G. Kirkpatrick,et al.  Unit disk graph recognition is NP-hard , 1998, Comput. Geom..

[9]  Sándor P. Fekete,et al.  Shawn: A new approach to simulating wireless sensor networks , 2005, ArXiv.

[10]  Sándor P. Fekete,et al.  Neighborhood-Based Topology Recognition in Sensor Networks , 2004, ALGOSENSORS.

[11]  Roger Wattenhofer,et al.  Convergence to Equilibrium in Local Interaction Games , 2008, 2009 50th Annual IEEE Symposium on Foundations of Computer Science.

[12]  Michael Kaufmann,et al.  A New Approach for Boundary Recognition in Geometric Sensor Networks , 2005, CCCG.

[13]  Srdjan Capkun,et al.  GPS-free Positioning in Mobile Ad Hoc Networks , 2001, Proceedings of the 34th Annual Hawaii International Conference on System Sciences.

[14]  L. El Ghaoui,et al.  Convex position estimation in wireless sensor networks , 2001, Proceedings IEEE INFOCOM 2001. Conference on Computer Communications. Twentieth Annual Joint Conference of the IEEE Computer and Communications Society (Cat. No.01CH37213).

[15]  Parameswaran Ramanathan,et al.  Connectivity based location estimation scheme for wireless ad hoc networks , 2002, Global Telecommunications Conference, 2002. GLOBECOM '02. IEEE.

[16]  Lali Barrière,et al.  Robust position-based routing in wireless Ad Hoc networks with unstable transmission ranges , 2001, DIALM '01.