title: Global systems for mobile position tracking using Kalman and Lainiotis filters.
abstract: We present two time invariant models for Global Systems for Mobile (GSM) position tracking, which describe the movement in x-axis and y-axis simultaneously or separately. We present the time invariant filters as well as the steady state filters: the classical Kalman filter and Lainiotis Filter and the Join Kalman Lainiotis Filter, which consists of the parallel usage of the two classical filters. Various implementations are proposed and compared with respect to their behavior and to their computational burden: all time invariant and steady state filters have the same behavior using both proposed models but have different computational burden. Finally, we propose a Finite Impulse Response (FIR) implementation of the Steady State Kalman, and Lainiotis filters, which does not require previous estimations but requires a well-defined set of previous measurements.
authors.affiliation: Department of Electronic Engineering, Technological Educational Institute of Central Greece, 3rd km Old National Road Lamia-Athens, 35100 Lamia, Greece.
authors.forename: Nicholas
authors.initials: N
authors.lastname: Assimakis
authors.affiliation: Department of Computer Science and Biomedical Informatics, University of Thessaly, 2-4 Papasiopoulou Street, 35100 Lamia, Greece.
authors.forename: Maria
authors.identifier: 0000-0002-3555-6610
authors.initials: M
authors.lastname: Adam
mesh_terms: D000465:Algorithms; D040362:Geographic Information Systems; D008962:Models, Theoretical