CLT for Eigen-Inference Methods in Cognitive Radios

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Executive Summary

In this paper, the authors provide a central limit theorem for a consistent estimator of the population eigenvalues of a class of sample covariance matrices. An exact expression as well as an empirical and asymptotically accurate approximation of the limiting variance is also derived. These results are applied in a cognitive radio context featuring an orthogonal-CDMA primary network and a secondary network whose objective is to maximize the coverage of secondary transmissions under low probability of interference with primary users.

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