Title :
Nonparametric estimation for compound poisson processes on compact Lie groups
Author :
Said, S. ; Le Bihan, N. ; Lageman, C. ; Manton, J.H.
Author_Institution :
Dept. of Images & Signal, INP Grenoble, Grenoble
Abstract :
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.
Keywords :
Lie groups; harmonic analysis; stochastic processes; compact Lie group; compound Poisson process; harmonic analysis; multiple scattering; nonparametric estimation; orthogonal group; Application software; Earth; Harmonic analysis; Indium phosphide; Mathematics; Particle scattering; Random variables; Signal processing; Stochastic processes; Surface waves; Estimation on Lie groups; compound Poisson process; harmonic analysis; nonparametric estimation;
Conference_Titel :
Acoustics, Speech and Signal Processing, 2009. ICASSP 2009. IEEE International Conference on
Conference_Location :
Taipei
Print_ISBN :
978-1-4244-2353-8
Electronic_ISBN :
1520-6149
DOI :
10.1109/ICASSP.2009.4960357