Nonparametric estimation for compound Poisson processes on compact Lie groups

Salem Said (1) , Christian Lageman (2) , Nicolas Le Bihan (1) , Jonathan Manton (3)

1 GIPSA-SIGMAPHY - GIPSA - Signal Images Physique
2 Institut Montefiore - Department of Electrical Engineering and Computer Science
3 Department of Electrical and Electronic Engineering [Melbourne]

Motivated by applications in multiple scattering, we study the problem of decompounding on compact Lie groups. Employing tools from harmonic analysis, we give a nonparametric approach to this problem. The case of the special orthogonal group SO(3) is discussed in detail.

Mots clés: Estimation on Lie groups; compound Poisson process; harmonic analysis; nonparametric estimation

Domaines: Recherche d'information [cs.IR]

Salem Said, Christian Lageman, Nicolas Le Bihan, Jonathan Manton. Nonparametric estimation for compound Poisson processes on compact Lie groups. ICASSP 2009 - IEEE International Conference on Acoustics, Speech and Signal Processing, Apr 2009, Taipei, Taiwan. pp.1793, ⟨10.1109/ICASSP.2009.4960357⟩. ⟨hal-00406006⟩