Bayesian inversion method and its information determination for the estimation of particle size distribution in ferrofluids

Lei, G; Shao, KR; Li, YB; Yang, GY; Guo, Y; Zhu, J; Lavers, JD

Bayesian inversion method and its information determination for the estimation of particle size distribution in ferrofluids

Lei, G

Shao, KR Li, YB Yang, GY Guo, Y

Zhu, J

Lavers, JD

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Publication Type:: Journal Article
Citation:: IEEE Transactions on Magnetics, 2009, 45 (10), pp. 3981 - 3984
Issue Date:: 2009-10-01

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Field	Value	Language
dc.contributor.author	Lei, G https://orcid.org/0000-0002-8369-6802	en_US
dc.contributor.author	Shao, KR	en_US
dc.contributor.author	Li, YB	en_US
dc.contributor.author	Yang, GY	en_US
dc.contributor.author	Guo, Y https://orcid.org/0000-0001-6182-0684	en_US
dc.contributor.author	Zhu, J https://orcid.org/0000-0002-9763-4047	en_US
dc.contributor.author	Lavers, JD	en_US
dc.date.issued	2009-10-01	en_US
dc.identifier.citation	IEEE Transactions on Magnetics, 2009, 45 (10), pp. 3981 - 3984	en_US
dc.identifier.issn	0018-9464	en_US
dc.identifier.uri	http://hdl.handle.net/10453/8529
dc.description.abstract	Using Gaussian numerical integration formula, the problem of estimating the particle size distribution (PSD) in ferrofluids can be converted into an electromagnetic inverse problem. Then we present two Bayesian analytical estimators, minimum mean-square error estimator and maximum a posteriori estimator, to reconstruct the PSD of magnetic particles. In the implementation, weighted minimum norm approach, maximum likelihood estimator, and weighted least square estimator are employed to determine prior information for the unknown parameter. We also present two methods to provide the noise information for the error term. Finally, using Monte Carlo method, we give a ferrofluid example to illustrate the efficiency of the proposed methods. © 2009 IEEE.	en_US
dc.relation.ispartof	IEEE Transactions on Magnetics	en_US
dc.relation.isbasedon	10.1109/TMAG.2009.2024765	en_US
dc.subject.classification	Applied Physics	en_US
dc.title	Bayesian inversion method and its information determination for the estimation of particle size distribution in ferrofluids	en_US
dc.type	Journal Article
utslib.citation.volume	10	en_US
utslib.citation.volume	45	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	02 Physical Sciences	en_US
utslib.for	09 Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CCET - Centre for Clean Energy Technology
utslib.copyright.status	open_access
pubs.issue	10	en_US
pubs.publication-status	Published	en_US
pubs.volume	45	en_US

Abstract:

Using Gaussian numerical integration formula, the problem of estimating the particle size distribution (PSD) in ferrofluids can be converted into an electromagnetic inverse problem. Then we present two Bayesian analytical estimators, minimum mean-square error estimator and maximum a posteriori estimator, to reconstruct the PSD of magnetic particles. In the implementation, weighted minimum norm approach, maximum likelihood estimator, and weighted least square estimator are employed to determine prior information for the unknown parameter. We also present two methods to provide the noise information for the error term. Finally, using Monte Carlo method, we give a ferrofluid example to illustrate the efficiency of the proposed methods. © 2009 IEEE.

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http://hdl.handle.net/10453/8529