RSS based localization in Rayleigh fading environment

In this paper, we investigate the quality of sensor localization that can be achieved by analyzing the strengths of signals transmitted by the sensors and measured at anchors placed at the corners of a rectangular area within which the sensors are deployed. The propagation environment is slow Rayleigh fading for which the parameters are unknown. Three localizations approaches are investigated-direct computation, least squares, log-likelihood-all taking advantage of the multipath resolution capability of the receiver. The numerical results demonstrate that localization accuracy improves as the number of resolved multipath components increases. The results also show that the log-likelihood approach provides the best localization accuracy by a very small margin over the least squares approach, but that the least squares approach has significantly smaller run times. The direct computation approach produces less accurate localization than the other two approaches, but produces accurate trends in behavior at very low computational costs.