On the Performance of UWB Geo-Regioning

Geo-regioning is an approach to localize ultra-wideband (UWB) transmitters by means of their channel impulse responses (CIRs) exploiting the capability of high temporal resolution of multipath components due to the large system bandwidth. Recently, the principle feasibility of this method was shown and a first geo-regioning algorithm was presented in (F. Althaus et al., 2005). In this paper, this algorithm is analyzed and the achievable performance in terms of pairwise error probability (PEP) is computed. In order to calculate the PEP analytically, a simple and accurate approximation of the probability density function (PDF) of a weighted sum of squared real valued Gaussian random variables (RVs) is presented. In the course of this analysis a distance measure is found, which reveals the important characteristics of individual geo-regions determining the PEP