  Data sets collected at different times and different observing points can
possess correlations at different times $and$ at different positions. The
doubly correlated Wishart model takes both into account. We calculate the
eigenvalue density of the Wishart correlation matrices using supersymmetry. In
the complex case we obtain a new closed form expression which we compare to
previous results in the literature. In the more relevant and much more
complicated real case we derive an expression for the density in terms of a
fourfold integral. Finally, we calculate the density in the limit of large
correlation matrices.
