6533b85cfe1ef96bd12bc7f6

RESEARCH PRODUCT

A measurement-based trajectory model for drifted motions towards a target zone

Alireza BorhaniH. V. Kalpanie Mendis

subject

business.industryGaussianMathematical analysisProbability density functionsymbols.namesakeGeographyLog-normal distributionLine (geometry)symbolsTrajectoryGlobal Positioning SystemPoint (geometry)businessSimulationBrownian motion

description

Trajectory models have numerous applications in the area of wiewlwss communications. The aim of this paper is to develop an empirical trajectory model for drifted motions. Recently, a highly flexible trajectory model based on the primitives of Brownian fields (TramBrown) was proposed by A. Borhani and M. Patzold. This paper provides an empirical proof for TramBrown using global positioning system (GPS) data collected from real life user traces drifting to a particular target point or a zone. The recorded location coordinates of the mobile user are processed to compute the total travelling length and the angle-of-motion (AOM) along the drifted trajectory. It is shown that the probability density function (PDF) of the total travelling length follows approximately the lognormal distribution and the PDF of the AOM exhibits a non-uniform distribution that can be approximated by the Gaussian distribution. These results are in line with the theoretical results derived from the TramBrown model.

yearjournalcountryeditionlanguage
2016-09-012016 IEEE International Conference on Wireless for Space and Extreme Environments (WiSEE)
https://doi.org/10.1109/wisee.2016.7877304