The high-lying, alpha -decaying states in Mg-24 have been studied by measur
ing the complete decay path of alpha and gamma emissions using five segment
ed Silicon detectors in conjunction with GAMMASPHERE. We analyzed the (alph
a gamma) triple angular correlations and, for the first time, (alpha gamma
gamma) quadruple correlations. The data analysis is based on a new Fourier
transformation technique. The power of the technique is demonstrated.