Name
Abstract | ||
|---|---|---|
This paper presents a “method of moments” estimation technique for the study of multiple scattering on the hypersphere. The proposed model is similar to a compound Poisson process evolving on a special manifold: the unit hypersphere. The presented work makes use of an approximation result for multiply convolved von Mises-Fisher distributions on hyperspheres. Comparison with other approximations show the accuracy of the proposed model to provide estimators for the mean free path and concentration parameters when studying a multiple scattering process. Such a process is classically used to model the propagation of waves or particles in random media. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/ICASSP.2013.6638910 | Acoustics, Speech and Signal Processing |
Keywords | Field | DocType |
approximation theory,electromagnetic wave propagation,electromagnetic wave scattering,estimation theory,method of moments,parameter estimation,stochastic processes,compound Poisson process,concentration parameter estimation,mean free path estimation,method of moment estimation technique,multiple scattering process,random media,unit hypersphere,von Mises-Fisher approximation distribution,wave propagation,Method of moments estimation,multiple scattering,random walk on hypersphere,von Mises-Fisher distribution | Mathematical optimization,Approximation theory,Stochastic process,Hypersphere,Scattering,Estimation theory,Mathematics,Compound Poisson process,Method of moments (statistics),Estimator | Conference |
ISSN | Citations | PageRank |
1520-6149 | 3 | 0.47 |
References | Authors | |
4 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Florent Chatelain | 1 | 7 | 2.66 |
| Nicolas Le Bihan | 2 | 254 | 23.35 |