<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Daniel Ruiz</style></author><author><style face="normal" font="default" size="100%">Ureña, J.</style></author><author><style face="normal" font="default" size="100%">Garcia, Juan Carlos</style></author><author><style face="normal" font="default" size="100%">María del Carmen Pérez</style></author><author><style face="normal" font="default" size="100%">José Manuel Villadangos</style></author><author><style face="normal" font="default" size="100%">García, Enrique</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Efficient Trilateration Algorithm using Time Differences of Arrival</style></title><secondary-title><style face="normal" font="default" size="100%">Sensors and Actuators A: Physical</style></secondary-title><short-title><style face="normal" font="default" size="100%">Sensors and Actuators A: Physical</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Cayley–Menger bideterminants</style></keyword><keyword><style  face="normal" font="default" size="100%">Local positioning systems</style></keyword><keyword><style  face="normal" font="default" size="100%">TDOA</style></keyword><keyword><style  face="normal" font="default" size="100%">Trilateration</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2013</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2013</style></date></pub-dates></dates><publisher><style face="normal" font="default" size="100%">Eselvier</style></publisher><pages><style face="normal" font="default" size="100%">220-232</style></pages><language><style face="normal" font="default" size="100%">English</style></language><abstract><style face="normal" font="default" size="100%">This work presents a novel hyperbolic algorithm to compute the absolute position of a mobile node (tag) in a Local Positioning System (LPS) based on the transmission of encoded signals from a set of beacons and computing the TDOA (Time Differences of Arrival) at the receiver. The new algorithm exploits the properties of Cayley–Menger bideterminants to obtain accurate position location without requiring synchronization among emitters and receivers. Three different resolution approaches for this algorithm are presented here, one of them considering some geometrical constraints. In comparison with traditional methods, such as minimization of non-linear equations by the Gauss–Newton algorithm, this proposal achieves a similar performance with a lower computational load, i.e. is more efficient in this sense. The performance of the algorithm has been validated both by simulation (taking into account the order of complexity for a generic number of beacons) and by real tests in an ultrasonic LPS.</style></abstract></record></records></xml>