A bayesian approach to wireless location problems

Several approaches for indoor location estimation in wireless networks are proposed. We explore non-hierarchical and hierarchical Bayesian graphical models that use prior knowledge about physics of signal propagation, as well as different modifications of Bayesian bivariate spline models. The hierarchical Bayesian model that incorporates information about locations of access points achieves accuracy that is similar to other published models and algorithms, but by using prior knowledge, this model drastically reduces the requirement for training data when compared to existing approaches. Proposed Bayesian bivariate spline models for location surpass predictive accuracy of existing methods. It has been shown that different versions of this model, in combination with sampling/importance resampling and particle filter algorithms, are suitable for the real-time estimation and tracking of moving objects. It has been demonstrated that "plug-in" versions of the bivariate Bayesian spline model perform as good as the full Bayesian version. A combination of two Bayesian models to reduce the maximum predictive error is proposed. Models presented in this work utilize MCMC simulations in directed acyclic graphs (DAGs) to solve ill-posed problem of location estimation in wireless networks using only received signal strengths. Similar approaches may be applied to other ill-posed problems.

Name thesis:degree_name

Doctor of Philosophy in Mathematical Sciences - (Ph.D.)

Discipline thesis:degree_discipline

Mathematical Sciences

Year

2005

Author dc:creator

• Zorych, Ivan

Contributors dc:contributor

• Manish Chandra Bhattacharjee
• David Madigan
• Sunil Kumar Dhar

• Bayesian
• Hierarchical
• Graphical model
• BUGS
• Semiparametric model
• Wireless networks
• Mathematics

Repository record dc:identifier

https://digitalcommons.njit.edu/dissertations/741

OAI identifier oai:identifier

oai:digitalcommons.njit.edu:dissertations-1796