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Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Improved time of arrival measurement model for nonconvex optimization with noisy data
 Institute of Electrical and Electronics Engineers IEEE: IPIN 2018, Ninth International Conference on Indoor Positioning and Indoor Navigation : September 2427, 2018, Nantes, France Piscataway, NJ: IEEE, 2018 ISBN: 9781538656358 ISBN: 9781538656365 pp.206212 
 International Conference on Indoor Positioning and Indoor Navigation (IPIN) <9, 2018, Nantes> 

 English 
 Conference Paper 
 Fraunhofer IOSB () 
 localization; navigation; time of arrival 
Abstract
The quadratic system provided by the Time of Arrival technique can be solved analytical or by nonlinear least squares minimization. In real environments the measurements are always corrupted by noise. This measurement noise effects the analytical solution more than nonlinear optimization algorithms. On the other hand it is also true that local optimization tends to find the local minimum, instead of the global minimum. This article presents an approach how this risk can be significantly reduced in noisy environments. The main idea of our approach is to transform the local minimum to a saddle point, by increasing the number of dimensions. In addition to numerical tests we analytically prove the theorem and the criteria that no other local minima exists for nontrivial constellations.