Parameter estimation for multiple scattering process on the sphere

Author

Chatelain, Florent ; Le Bihan, Nicolas ; Manton, Jonathan H.

Author_Institution

Gipsa-Lab., Univ. of Grenoble, Grenoble, France

fYear

2015

fDate

19-24 April 2015

Firstpage

3976

Lastpage

3980

Abstract

This paper considers the problem of parameter estimation for multiple scattering process on the sphere. Using harmonic analysis, a Fourier expansion of the pdf of the process is obtained. Based on the Fourier coefficient statistics, we consider the problem of estimating the parameter of the process using an Approximate Bayesian Computation (ABC) approach. Simulations show the ability of the proposed approach for the density estimation of intensity and concentration parameters for the von Mises Fisher multiple scattering process.

Keywords

Bayes methods; Fourier transforms; approximation theory; electromagnetic wave scattering; parameter estimation; statistical analysis; Fourier coefficient statistics; Fourier expansion; approximate Bayesian computation approach; harmonic analysis; parameter estimation; sphere; von Mises Fisher multiple scattering process; Approximation algorithms; Approximation methods; Bayes methods; Convolution; Method of moments; Polynomials; Scattering; Approximate Bayesian Computation; Bayesian Inference; Harmonic analysis; Method of Moments; Multiple scattering process on the sphere; von Mises-Fisher distribution;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing (ICASSP), 2015 IEEE International Conference on

Conference_Location

South Brisbane, QLD

Type

conf

DOI

10.1109/ICASSP.2015.7178717

Filename

7178717