Precise Localization using Sweeps in Sparse Networks

Determining node positions is essential for many next-generation network functionalities. Previous localization algorithms lack correctness guarantees or require network density higher than required for unique localizability. In this paper, we describe a class of algorithms for fine-grained localization called Sweeps. Sweeps correctly finitely localizes all nodes in bilateration networks. Sweeps also handles angle measurements and noisy measurements. We demonstrate the practicality of our algorithm through extensive simulations on a large number of networks, upon which it consistently localizes one-thousand-node networks of average degree less than five in less than two minutes on a consumer PC. Categories and Subject Descriptors: C.2.1 [Computer Communication Networks]: Network Architecture and Design – Wireless communication; F.2.2 [Analysis of Algorithms and Problem Complexity]: Nonnumerical Algorithms and Problems General Terms: Algorithms, Performance, Design. Keywords: Localization, Sweeps, Global Rigidity, ControlledMobility

[1]  Hyuk Lim,et al.  Localization for anisotropic sensor networks , 2005, Proceedings IEEE 24th Annual Joint Conference of the IEEE Computer and Communications Societies..

[2]  Xiang Ji,et al.  Sensor positioning in wireless ad-hoc sensor networks using multidimensional scaling , 2004, IEEE INFOCOM 2004.

[3]  Brian D. O. Anderson,et al.  Rigidity, computation, and randomization in network localization , 2004, IEEE INFOCOM 2004.

[4]  Ying Zhang,et al.  Localization from mere connectivity , 2003, MobiHoc '03.

[5]  David C. Moore,et al.  Robust distributed network localization with noisy range measurements , 2004, SenSys '04.

[6]  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).

[7]  Azzedine Boukerche,et al.  Localization systems for wireless sensor networks , 2007, IEEE Wireless Communications.

[8]  Lixia Zhang,et al.  Recursive position estimation in sensor networks , 2001, Proceedings Ninth International Conference on Network Protocols. ICNP 2001.

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

[10]  B. R. Badrinath,et al.  Ad hoc positioning system (APS) using AOA , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).

[11]  Deborah Estrin,et al.  GPS-less low-cost outdoor localization for very small devices , 2000, IEEE Wirel. Commun..

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

[13]  Brian D. O. Anderson,et al.  A Theory of Network Localization , 2006, IEEE Transactions on Mobile Computing.

[14]  B. R. Badrinath,et al.  VOR base stations for indoor 802.11 positioning , 2004, MobiCom '04.

[15]  Paramvir Bahl,et al.  RADAR: an in-building RF-based user location and tracking system , 2000, Proceedings IEEE INFOCOM 2000. Conference on Computer Communications. Nineteenth Annual Joint Conference of the IEEE Computer and Communications Societies (Cat. No.00CH37064).

[16]  Gaurav S. Sukhatme,et al.  Ad-hoc localization using ranging and sectoring , 2004, IEEE INFOCOM 2004.

[17]  David Evans,et al.  Localization for mobile sensor networks , 2004, MobiCom '04.

[18]  Francesco Bullo,et al.  Coordination and Geometric Optimization via Distributed Dynamical Systems , 2003, SIAM J. Control. Optim..

[19]  Andreas Haeberlen,et al.  Practical robust localization over large-scale 802.11 wireless networks , 2004, MobiCom '04.

[20]  James McLurkin,et al.  Distributed Algorithms for Dispersion in Indoor Environments Using a Swarm of Autonomous Mobile Robots , 2004, DARS.

[21]  Haiyun Luo,et al.  Zero-Configuration, Robust Indoor Localization: Theory and Experimentation , 2006, Proceedings IEEE INFOCOM 2006. 25TH IEEE International Conference on Computer Communications.

[22]  Tian He,et al.  Range-free localization schemes in large scale sensor network , 2003, MobiCom 2003.

[23]  B.D.O. Anderson,et al.  The multi-agent rendezvous problem - the asynchronous case , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

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

[25]  Mani B. Srivastava,et al.  Dynamic fine-grained localization in Ad-Hoc networks of sensors , 2001, MobiCom '01.

[26]  G. Laman.  On graphs and rigidity of plane skeletal structures , 1970 .

[27]  M. Cao,et al.  Localization of Sensor Networks Using Sweeps , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[28]  Erik D. Demaine,et al.  Mobile-assisted localization in wireless sensor networks , 2005, Proceedings IEEE 24th Annual Joint Conference of the IEEE Computer and Communications Societies..

[29]  Kim-Chuan Toh,et al.  Semidefinite Programming Approaches for Sensor Network Localization With Noisy Distance Measurements , 2006, IEEE Transactions on Automation Science and Engineering.

[30]  Hari Balakrishnan,et al.  6th ACM/IEEE International Conference on on Mobile Computing and Networking (ACM MOBICOM ’00) The Cricket Location-Support System , 2022 .

[31]  A. Savvides,et al.  Network localization in partially localizable networks , 2005, Proceedings IEEE 24th Annual Joint Conference of the IEEE Computer and Communications Societies..

[32]  Brian D. O. Anderson,et al.  Sequential Localization of Networks , 2006 .