Asymptotics of eigenbased collaborative sensing

Publication Type:

Conference Paper

Source:

IEEE Information Theory Workshop, Sicily, Italy (2009)

Abstract:

In this contribution, we propose a new technique for collaborative sensing based on the analysis of the normalized (by the trace) maximum eigenvalue of the sample covariance matrix. Assuming that several base stations are cooperating and without the knowledge of the noise variance, the test is able to determine the presence of mobile users in a network when only few samples are available. Unlike previous heuristic techniques, we show that the test has roots within the Generalized Likelihood Ratio Test (GLRT) and provide an asymptotic random matrix analysis enabling to determine adequate threshold detection values (probability of false alarm).

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