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In the eigenvalue - eigenvector decomposition of the spectral density matrix of the signals received on a passive array, two sets of eigenvectors are found. The first set contains eigenvectors which are asymptotcally orthogonal to the sources direction vectors : from them a high resolution bearing estimator has been deduced. The other set contains eigenvectors which are asymptotically a basis for the sources direction vectors space. It is shown in this paper that from this set and the corresponding eigenvalues, an estimator for the sources spectral densities can be derived. Simulation results are given.
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Bienvenu et al. (2005) studied this question.
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