Bandwidth effect on distance error modeling for indoor geolocation

In this paper we introduce a model for the distance error measured from the estimated time of arrival (TOA) of the direct path (DP) between the transmitter and the receiver in a typical multipath indoor environment. We use the results of a calibrated Ray tracing software in a sample office environment. First we divide the whole floor plan into LOS and Obstructed LOS (OLOS), and then we model the distance error in each environment considering the variation of bandwidth of the system. We show that the behavior of the distance error in LOS environment can be modeled as Gaussian, while behavior of the OLOS is a mixture of Gaussian and exponential distribution. We also related the statistics of the distributions to the bandwidth of the system.