Title:
Γ -Minimax Wavelet Shrinkage: A Robust Incorporation of Information about Energy of a Signal in Denoising Applications
Γ -Minimax Wavelet Shrinkage: A Robust Incorporation of Information about Energy of a Signal in Denoising Applications
| dc.contributor.author | Angelini, Claudia | |
| dc.contributor.author | Vidakovic, Brani | |
| dc.contributor.corporatename | Georgia Institute of Technology | |
| dc.contributor.corporatename | Consiglio nazionale delle ricerche (Italy). Istituto per Applicazioni della Matematica | |
| dc.date.accessioned | 2008-12-10T15:52:13Z | |
| dc.date.available | 2008-12-10T15:52:13Z | |
| dc.date.issued | 2001 | |
| dc.description.abstract | In this paper we propose a method for wavelet- filtering of noisy signals when prior information about the energy of the signal of interest is available. Assuming the independence model, according to which the wavelet coefficients are treated individually, we propose a level dependent shrinkage rule that turns out to be the Γ-minimax rule for a suitable class Γ of realistic priors on the wavelet coefficients. The proposed methodology, particularly applicable to noisy signals with a low signal to noise ratio, is illustrated on a battery of standard test functions. A real-life example in atomic force microscopy (AFM) is also discussed. | en |
| dc.identifier.uri | http://hdl.handle.net/1853/25933 | |
| dc.language.iso | en_US | en |
| dc.publisher | Georgia Institute of Technology | en |
| dc.relation.ispartofseries | Biomedical Engineering Technical Report ; G06/2001 | en |
| dc.subject | Wavelet regression | en |
| dc.subject | Shrinkage | en |
| dc.subject | Bounded normal mean | en |
| dc.subject | Γ -minimaxity | en |
| dc.subject | Atomic force microscopy | en |
| dc.title | Γ -Minimax Wavelet Shrinkage: A Robust Incorporation of Information about Energy of a Signal in Denoising Applications | en |
| dc.title.alternative | Γ-Minimax Wavelet Shrinkage | en |
| dc.type | Text | |
| dc.type.genre | Technical Report | |
| dspace.entity.type | Publication | |
| local.contributor.author | Vidakovic, Brani | |
| local.contributor.corporatename | Wallace H. Coulter Department of Biomedical Engineering | |
| local.contributor.corporatename | College of Engineering | |
| relation.isAuthorOfPublication | 1463fd97-3d52-4269-afac-97f6f7f46fcd | |
| relation.isOrgUnitOfPublication | da59be3c-3d0a-41da-91b9-ebe2ecc83b66 | |
| relation.isOrgUnitOfPublication | 7c022d60-21d5-497c-b552-95e489a06569 |