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A test of homogeneity for RSS measurements within a wireless sensor network

In this paper, we use the tools of statistical hypothesis testing to determine whether or not the different links of a WSN are homogeneous. At the design stage we use a statistical path loss law to model the RSS measurements. More precisely, in the homogeneous case all links share one and the same attenuation factor while in the non-homogeneous one the attenuation factors of the various links are different. We thus derive a GLRT-based decision rule for the considered problem and compute its distribution. Some numerical examples are finally presented to evaluate the potential to discriminate between the two hypotheses.