  This paper focuses on developing a decentralized framework for coordinated
minimum power beamforming wherein $L$ base stations (BSs), each equipped with
$N$ antennas, serve $K$ single-antenna users with specific rate constraints.
This is realized by considering user specific intercell interference (ICI)
strength as the principal coupling parameter among BSs. First, explicit
deterministic expressions for transmit powers are derived for spatially
correlated channels in the asymptotic regime in which $N$ and $K$ grow large
with a non-trivial ratio $K/N$. These asymptotic expressions are then used to
compute approximations of the optimal ICI values that depend only on the
channel statistics. By relying on the approximate ICI values as coordination
parameters, a distributed non-iterative coordination algorithm, suitable for
large networks with limited backhaul, is proposed. A heuristic algorithm is
also proposed relaxing coordination requirements even further as it only needs
pathloss values for non-local channels. The proposed algorithms satisfy the
target rates for all users even when $N$ and $K$ are relatively small. Finally,
the potential benefits of grouping users with similar statistics are
investigated to further reduce the overhead and computational effort of the
proposed solutions. Simulation results show that the proposed methods yield
near-optimal performance.
