  Consider a random non-centered multiple antenna radio transmission channel.
Assume that the deterministic part of the channel is itself frequency
selective, and that the random multipath part is represented by an ergodic
stationary vector process. In the Hilbert space $l^2({\mathbb Z})$, one can
associate to this channel a random ergodic self-adjoint operator having a
so-called Integrated Density of States (IDS). Shannon's mutual information per
receive antenna of this channel coincides then with the integral of a $\log$
function with respect to the IDS. In this paper, it is shown that when the
numbers of antennas at the transmitter and at the receiver tend to infinity at
the same rate, the mutual information per receive antenna tends to a quantity
that can be identified and, in fact, is closely related to that obtained within
the random matrix approach. This result can be obtained by analyzing the
behavior of the Stieltjes transform of the IDS in the regime of the large
numbers of antennas.
