  In this paper we consider global and non-global bounded radial solutions of
the focusing energy-critical wave equation in space dimension 3. We show that
any of these solutions decouples, along a sequence of times that goes to the
maximal time of existence, as a sum of modulated stationary solutions, a free
radiation term and a term going to 0 in the energy space. In the case where
there is only one stationary profile, we show that this expansion holds
asymptotically without restriction to a subsequence.
