TY - JOUR
T1 - Fractional triple correlation and its applications
AU - Mendlovic, David
AU - Mas, David
AU - Lohmann, Adolf W.
AU - Zalevsky, Zeev
AU - Shabtay, Gal
PY - 1998/6
Y1 - 1998/6
N2 - Higher-order correlations are well known for their use in noise removal, image enhancement, and signal identification. They are generalizations of the well-known second-order correlation. The fractionalization of the second-order correlation provides some interesting features that are related to the shift-variance property of the fractional-Fourier-transform operation. This project proposes the fractionalization of the triplecorrelation operation (as well as other higher-order correlations). A suggested definition as well as some applications are given. Computer simulations demonstrate some of the features this operation offers.
AB - Higher-order correlations are well known for their use in noise removal, image enhancement, and signal identification. They are generalizations of the well-known second-order correlation. The fractionalization of the second-order correlation provides some interesting features that are related to the shift-variance property of the fractional-Fourier-transform operation. This project proposes the fractionalization of the triplecorrelation operation (as well as other higher-order correlations). A suggested definition as well as some applications are given. Computer simulations demonstrate some of the features this operation offers.
UR - http://www.scopus.com/inward/record.url?scp=11344278954&partnerID=8YFLogxK
U2 - 10.1364/josaa.15.001658
DO - 10.1364/josaa.15.001658
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AN - SCOPUS:11344278954
SN - 1084-7529
VL - 15
SP - 1658
EP - 1661
JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision
JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision
IS - 6
ER -