2D Triangulation of Signals Source by Pole-Polar Geometric Models

Autor: Aleksandro Montanha, Airton M. Polidorio, F. J. Dominguez-Mayo, María J. Escalona
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Sensors, Vol 19, Iss 5, p 1020 (2019)
Druh dokumentu: article
ISSN: 1424-8220
DOI: 10.3390/s19051020
Popis: The 2D point location problem has applications in several areas, such as geographic information systems, navigation systems, motion planning, mapping, military strategy, location and tracking moves. We aim to present a new approach that expands upon current techniques and methods to locate the 2D position of a signal source sent by an emitter device. This new approach is based only on the geometric relationship between an emitter device and a system composed of m≥2 signal receiving devices. Current approaches applied to locate an emitter can be deterministic, statistical or machine-learning methods. We propose to perform this triangulation by geometric models that exploit elements of pole-polar geometry. For this purpose, we are presenting five geometric models to solve the point location problem: (1) based on centroid of points of pole-polar geometry, PPC; (2) based on convex hull region among pole-points, CHC; (3) based on centroid of points obtained by polar-lines intersections, PLI; (4) based on centroid of points obtained by tangent lines intersections, TLI; (5) based on centroid of points obtained by tangent lines intersections with minimal angles, MAI. The first one has computational cost On and whereas has the computational cost Onlognwhere n is the number of points of interest.
Databáze: Directory of Open Access Journals
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