Diversity aspects of power delay profile based location fingerprinting

Although most of the conventional localization algorithms rely on Line of Sight (LOS) conditions, fingerprinting allows positioning in multipath and even in Non-LOS (NLOS) environments. In contrast to the traditional Received Signal Strength (RSS), the Power Delay Profile (PDP) fingerprint may allow positioning on the basis of a single link if the multipath is rich enough. Fingerprinting is a pattern matching technique for which a performance analysis may be difficult in general. In this paper we focus on a global performance indicator, in the form of Pairwise Error Probability (PEP). Similarly to PEP analysis in communication over fading channels, we find that the PEP for PDP fingerprinting exhibits a certain diversity order, linked to the number of paths. We investigate and show the results for Gaussian Maximum Likelihood (GML) based approaches for the Rayleigh fading path amplitude case.