Beyond Trilateration: On the Localizability of Wireless Ad Hoc Networks

The proliferation of wireless and mobile devices has fostered the demand of context-aware applications, in which location is often viewed as one of the most significant contexts. Classically, trilateration is widely employed for testing network localizability; even in many cases, it wrongly recognizes a localizable graph as nonlocalizable. In this study, we analyze the limitation of trilateration-based approaches and propose a novel approach that inherits the simplicity and efficiency of trilateration and, at the same time, improves the performance by identifying more localizable nodes. We prove the correctness and optimality of this design by showing that it is able to locally recognize all one-hop localizable nodes. To validate this approach, a prototype system with 60 wireless sensors is deployed. Intensive and large-scale simulations are further conducted to evaluate the scalability and efficiency of our design.

[1]  Ying Zhang,et al.  Robust distributed node localization with error management , 2006, MobiHoc '06.

[2]  Bill Jackson,et al.  Egerváry Research Group on Combinatorial Optimization a Sufficient Connectivity Condition for Generic Rigidity in the Plane a Sufficient Connectivity Condition for Generic Rigidity in the Plane , 2022 .

[3]  B. Hendrickson,et al.  Regular ArticleAn Algorithm for Two-Dimensional Rigidity Percolation: The Pebble Game , 1997 .

[4]  Brian D. O. Anderson,et al.  Localization in sparse networks using sweeps , 2006, MobiCom '06.

[5]  øöö Blockinø The Number of Neighbors Needed for Connectivity of Wireless Networks , 2002 .

[6]  Xiang-Yang Li,et al.  Fault tolerant deployment and topology control in wireless ad hoc networks , 2004, Wirel. Commun. Mob. Comput..

[7]  Yunhao Liu,et al.  Rendered Path: Range-Free Localization in Anisotropic Sensor Networks With Holes , 2007, IEEE/ACM Transactions on Networking.

[8]  B. R. Badrinath,et al.  Ad hoc positioning system (APS) , 2001, GLOBECOM'01. IEEE Global Telecommunications Conference (Cat. No.01CH37270).

[9]  Kathryn Fraughnaugh,et al.  Introduction to graph theory , 1973, Mathematical Gazette.

[10]  Bruce Hendrickson,et al.  Conditions for Unique Graph Realizations , 1992, SIAM J. Comput..

[11]  M. Penrose On k-connectivity for a geometric random graph , 1999, Random Struct. Algorithms.

[12]  Jie Gao,et al.  Connectivity-Based Localization of Large Scale Sensor Networks with Complex Shape , 2008, INFOCOM.

[13]  G. Dirac In abstrakten Graphen vorhandene vollständige 4-Graphen und ihre Unterteilungen† , 1960 .

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

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

[16]  Ying Zhang,et al.  Localization from connectivity in sensor networks , 2004, IEEE Transactions on Parallel and Distributed Systems.

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

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

[19]  Brian D. O. Anderson,et al.  Precise Localization using Sweeps in Sparse Networks , 2006, MobiCom 2006.

[20]  Panganamala Ramana Kumar,et al.  The Number of Neighbors Needed for Connectivity of Wireless Networks , 2004, Wirel. Networks.

[21]  Yunhao Liu,et al.  Sea Depth Measurement with Restricted Floating Sensors , 2007, 28th IEEE International Real-Time Systems Symposium (RTSS 2007).

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

[23]  L. Lovász,et al.  On Generic Rigidity in the Plane , 1982 .

[24]  Qian Zhang,et al.  Opportunity-Based Topology Control in Wireless Sensor Networks , 2008, 2008 The 28th International Conference on Distributed Computing Systems.

[25]  Yunhao Liu,et al.  Passive diagnosis for wireless sensor networks , 2010, TNET.

[26]  Piyush Gupta,et al.  Critical Power for Asymptotic Connectivity in Wireless Networks , 1999 .

[27]  B. Hendrickson,et al.  An Algorithm for Two-Dimensional Rigidity Percolation , 1997 .

[28]  Yu Wang,et al.  Robust deployment and fault tolerant topology control for wireless ad hoc networks , 2003 .

[29]  Brian D. O. Anderson,et al.  Wireless sensor network localization techniques , 2007, Comput. Networks.

[30]  Yunhao Liu,et al.  Quality of Trilateration: Confidence-Based Iterative Localization , 2008, IEEE Transactions on Parallel and Distributed Systems.

[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]  B. R. Badrinath,et al.  DV Based Positioning in Ad Hoc Networks , 2003, Telecommun. Syst..

[33]  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).

[34]  Hyuk Lim,et al.  Distributed localization for anisotropic sensor networks , 2009, TOSN.

[35]  S. Seidel,et al.  914 MHz path loss prediction models for indoor wireless communications in multifloored buildings , 1992 .

[36]  Bill Jackson,et al.  Egerváry Research Group on Combinatorial Optimization Connected Rigidity Matroids and Unique Realizations of Graphs Connected Rigidity Matroids and Unique Realizations of Graphs , 2022 .