Eigensystem properties of the sampled space correlation matrix

In the recent years, the resolving capability of passive array processing has been greatly improved by the so-called high resolution methods. They are based on the eigenvalue-eigenvector decomposition of the spectral density matrix of the signals received on the sensors. In this paper, we show that the eigensystem of the sampled space correlation matrix has the same asymptotic high resolution properties. We show also that analytical relations exist between the two eigensystems, which allows the computation of the sampled space correlation matrix eigensystem from the eigensystem of the spectral density matrix.