Weighted nonlinear correlation for controlled discrimination capability |
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| Institution: | 1. Dpt. D''Òptica, Universitat de València, 46100 Burjassot, València, Spain;2. Lab. Óptica Coherente, Instituto Superior Politécnico “José Antonio Echeverrı́a”, c/114 s/n, Marianao, La Habana, Cuba;3. COPL, Université Laval, Ste-Foy, Qc, Canada G1K 7P4;1. Institute of Geophysics and Planetary Physics and Department of Earth and Space Science, University of California, Los Angeles, CA 90095, USA;2. Laboratoire de Physique de la Matière Condensée, CNRS UMR6622 and Université des Sciences, B.P. 70, Parc Valrose, 06108 Nice Cedex 2, France;3. Department of Physics and Astronomy, University of Southern California, Los Angeles, CA 90089-0484, USA;4. Nordic Institute for Theoretical Physics, Blegdamsvej 17, DK-2100 Copenhagen, Denmark;1. Department of Electrical Engineering, Texas A&M University, College Station, TX 77843-3128, USA;2. National Human Genome Research Institute, National Institutes of Health, USA;1. GSF-National Research Center For Environment and Health, Institute for Biomathematics and Biometry, Pf 1129, 85758 Neuherberg, Germany;2. Department of Biochemical Engineering, Kluyver Institute for Biotechnology, Delft University of Technology, Julianalaan 67, 2628BC Delft, The Netherlands;1. Dipartimento di Fisica, Universit`a di Trento, Via Sommarive 14, Povo TN 38050, Italy;2. JF Allen Physics Research Laboratories, School of Physics and Astronomy, University of St. Andrews, North Haugh, St. Andrews, Fife KY16 9SS, Scotland, UK |
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| Abstract: | 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. |
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