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Eigenvalue Ratio Detection Based On Exact Moments of Smallest and Largest Eigenvalues

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Executive Summary

Detection based on eigenvalues of received signal covariance matrix is currently one of the most effective solutions for spectrum sensing problem in cognitive radios. However, the results of these schemes always depend on asymptotic assumptions since the close-formed expression of exact eigenvalues ratio distribution is exceptionally complex to compute in practice. In this paper, non-asymptotic spectrum sensing approach to approximate the extreme eigenvalues is introduced. In this context, the Gaussian approximation approach based on exact analytical moments of extreme eigenvalues is presented.

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