  The reconstruction of broad resonances is important for understanding the
dynamics of heavy ion collisions. However, large combinatorial background makes
this objective very challenging. In this work an innovative iterative method
which identifies signal and background contributions without input models for
normalization constants is presented. This technique is successfully validated
on a simulated thermal cocktail of resonances. This demonstrates that the
iterative procedure is a powerful tool to reconstruct multi-differentially
inclusive resonant signals in high multiplicity events as produced in heavy ion
collisions.
