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Departamento de electronica Universidad de Alcala

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    Efficient Trilateration Algorithm using Time Differences of Arrival

    TitleEfficient Trilateration Algorithm using Time Differences of Arrival
    Publication TypeJournal Article
    Año de publicación2013
    AutoresRuiz, D, Ureña, J, Garcia, JC, del Pérez, MC, Villadangos, JM, García, E
    Idioma de publicaciónEnglish
    JournalSensors and Actuators A: Physical
    Páginas220-232
    Fecha de publicación04/2013
    EditorialEselvier
    ISSN09244247
    Palabras claveCayley–Menger bideterminants, Local positioning systems, TDOA, Trilateration
    DOI10.1016/j.sna.2012.12.021
    Abstract

    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.

    DOI10.1016/j.sna.2012.12.021