6533b839fe1ef96bd12a6431
RESEARCH PRODUCT
Weighted nonlinear correlation for controlled discrimination capability
Henri H. ArsenaultPascuala García-martínezManuel TejeraManuel TejeraDaniel LefebvreCarlos Ferreirasubject
business.industryCovariance matrixScaled correlationMain diagonalAtomic and Molecular Physics and OpticsElectronic Optical and Magnetic MaterialsCorrelationNonlinear systemOpticsSensitivity (control systems)Electrical and Electronic EngineeringPhysical and Theoretical ChemistryRepresentation (mathematics)businessMathematicsVariable (mathematics)description
We recently demonstrated the high discrimination capability as well as the high sensitivity to small intensity variations of the sliced orthogonal nonlinear generalized (SONG) correlation. This nonlinear correlation has a correlation matrix representation. Previous papers considered only the principal diagonal elements of the correlation matrix. We propose using the off-diagonal non-zero elements of the SONG correlation matrix in order to achieve variable discrimination performance and controlled detection adapted to the gray-scale variations. Moreover, we introduce negative coefficients in order to improve the discrimination properties of the SONG correlation. To control the degree of recognition we define a correlation that is related with the degree of degradation. The proposed changes to the SONG correlation may be implemented by means of optics.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-01-01 | Optics Communications |