Analytical links between steering vectors and eigenvectors

We consider the problem of separation of convolutive mixtures of wideband signals impinging on an antenna of sensors focusing on the case of interfering seismic waves. We are looking at the spectral matrix filtering method. The analytical study of its resolving power, makes it possible for us to theoretically justify its use but even to explain its deficiencies in difficult context (waves of very close energies or/and too near slowness for instance). But first, this question induces us to discuss on the links between two basis: the eigenvectors one and the steering vectors one.