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Decompounding on Compact Lie Groups

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4 Author(s)
Said, S. ; Dept. of Images & Signal, GIPSA-Lab., Grenoble, France ; Lageman, C. ; Le Bihan, N. ; Manton, J.H.

Noncommutative harmonic analysis is used to solve a nonparametric estimation problem stated in terms of compound Poisson processes on compact Lie groups. This problem of decompounding is a generalization of a similar classical problem. The proposed solution is based on a characteristic function method. The treated problem is important to recent models of the physical inverse problem of multiple scattering.

Published in:

Information Theory, IEEE Transactions on  (Volume:56 ,  Issue: 6 )