Fabien Salzenstein,1
Abdel-Ouahab Boudraa,2,*
and Jean-Christophe Cexus2
1CNRS/Sciences et Technologies de l'Information et de la Communication-UPR 292, Université Louis Pasteur Laboratoire Iness, 23, rue du Loess, BP20 CR-67037 Strasbourg Cedex 2, France
2Institut de Recherche de l'Ecole Navale, Ecole Navale/E3I2 (EA 3876) Ecole Nationale Supérieure des Ingénieurs des Etudes et Techniques d'Armement, Lanvéoc Poulmic, BP600, 29240 Brest–Armées, France
Fabien Salzenstein, Abdel-Ouahab Boudraa, and Jean-Christophe Cexus, "Generalized higher-order nonlinear energy operators," J. Opt. Soc. Am. A 24, 3717-3727 (2007)
We extend and generalize the Teager–Kaiser [in
Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (1993), Vol. 3, p. 149
] and the higher-order differential energy operators [IEEE Signal Process. Lett. 2, 152 (1995)
] to a large class of operators called higher-order energy operators. We show that for AM-FM signal demodulation, the introduced partial derivative orders have to satisfy certain conditions. These operators are parameterized for local processing of AM-FM signals. The operators are illustrated using synthetic signals and a real signal from light scanning interferometry.
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