Improving Distance Based Geographic Location Techniques in Sensor Networks

Supporting nodes without Global Positioning System (GPS) capability, in wireless ad hoc and sensor networks, has numerous applications in guidance and surveying systems in use today. At issue is that a procedure be available so that the subset of nodes with GPS capability succeed in supporting the maximum possible number of nodes without GPS capability and as a result enable the highest connectivity of the underlying network infrastructure. In this paper, we identify incompleteness in the standard method for computing the position of a node based on three GPS enabled neighbors, in that it may fail to support the maximum possible subset of sensors of the wireless network. We give a new complementary algorithm (the three/two neighbor algorithm) that indeed succeeds in providing a higher fraction of nodes (than the 3-Neighbour algorithm) with their position. We prove its correctness and test its performance with simulations.

[1]  Ivan Stojmenovic,et al.  Routing with Guaranteed Delivery in Ad Hoc Wireless Networks , 1999, DIALM '99.

[2]  Roberto Verdone,et al.  Intelligent transportation systems: the role of third-generation mobile radio networks , 2000, IEEE Commun. Mag..

[3]  Jorge Urrutia,et al.  Morelia Test: Improving the Efficiency of the Gabriel Test and Face Routing in Ad-Hoc Networks , 2004, SIROCCO.

[4]  Mathew D. Penrose,et al.  Random Geometric Graphs , 2003 .

[5]  M. Hata,et al.  Mobile location using signal strength measurements in a cellular system , 1980, IEEE Transactions on Vehicular Technology.

[6]  Srinivasan Keshav,et al.  Issues and trends in router design , 1998, IEEE Commun. Mag..

[7]  J. Dall,et al.  Random geometric graphs. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Harvinder. Singh.  Compass routing on geometric graphs. , 1999 .

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

[10]  M. Cooper.  Antennas get smart. , 2003, Scientific American.

[11]  Abdelmalik Bachir,et al.  A multicast protocol in ad hoc networks inter-vehicle geocast , 2003, The 57th IEEE Semiannual Vehicular Technology Conference, 2003. VTC 2003-Spring..

[12]  Srdjan Capkun,et al.  GPS-free Positioning in Mobile Ad Hoc Networks , 2004, Cluster Computing.

[13]  M. Penrose.  The longest edge of the random minimal spanning tree , 1997 .

[14]  Jorge Urrutia,et al.  Compass routing on geometric networks , 1999, CCCG.

[15]  J. Holtzman,et al.  The non-line of sight problem in mobile location estimation , 1996, Proceedings of ICUPC - 5th International Conference on Universal Personal Communications.

[16]  Yan Zhang,et al.  Geometric ad-hoc routing: of theory and practice , 2003, PODC '03.

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

[18]  Gordon L. Stüber,et al.  Overview of radiolocation in CDMA cellular systems , 1998, IEEE Commun. Mag..

[19]  W. G. Figel,et al.  Vehicle location by a signal attenuation method , 1969 .

[20]  Kaveh Pahlavan.  Principles Of Wireless Networks , 2001 .

[21]  Gordon L. Stüber,et al.  Subscriber location in CDMA cellular networks , 1998 .

[22]  Ellen Kayata Wesel,et al.  Wireless Multimedia Communications: Networking Video, Voice and Data , 1997 .

[23]  Mathew D. Penrose,et al.  On k-connectivity for a geometric random graph , 1999, Random Struct. Algorithms.

[24]  Saipradeep Venkatraman,et al.  Location using LOS range estimation in NLOS environments , 2002, Vehicular Technology Conference. IEEE 55th Vehicular Technology Conference. VTC Spring 2002 (Cat. No.02CH37367).

[25]  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).

[26]  Günter Hommel,et al.  Overcoming fragmentation in mobile Ad Hoc networks , 2000, Journal of Communications and Networks.