Improvement of multi-mode-PCA based filtering using fourth order cumulants

Author

Muti, Damien ; Bourennane, Salah

Author_Institution

GSM-Inst. Fresnel, UMR CNRS 6133/EGIM/Univ. Aix-Marseille 3, Marseille, France

Volume

4

fYear

2005

fDate

18-23 March 2005

Abstract

The main idea of the paper is to replace the covariance matrix involved in TUCKALS3 algorithm with the fourth order cumulant slice matrix of the data tensor n-mode vectors in order to eliminate the Gaussian components of the additive noise. The good qualitative results of this new multi-mode filtering method are shown in the case of correlated noise reduction in a color image and a polarized seismic wave, modelled by third order tensors.

Keywords

AWGN; correlation methods; geophysical signal processing; higher order statistics; image colour analysis; image denoising; matrix algebra; principal component analysis; seismic waves; tensors; Gaussian component elimination; additive noise; color image; correlated noise reduction; data tensor n-mode vectors; fourth order cumulants; multi-mode-PCA based filtering; polarized seismic wave; slice matrix; third order tensors; Additive noise; Additive white noise; Covariance matrix; Filtering algorithms; Gaussian noise; Multidimensional systems; Polarization; Principal component analysis; Seismic waves; Tensile stress;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2005. Proceedings. (ICASSP '05). IEEE International Conference on

ISSN

1520-6149

Print_ISBN

0-7803-8874-7

Type

conf

DOI

10.1109/ICASSP.2005.1416042

Filename

1416042