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.
© 2007 Optical Society of America
Original Manuscript: January 23, 2007
Revised Manuscript: September 1, 2007
Manuscript Accepted: September 10, 2007
Published: November 19, 2007
Fabien Salzenstein, Abdel-Ouahab Boudraa, and Jean-Christophe Cexus, "Generalized higher-order nonlinear energy operators," J. Opt. Soc. Am. A 24, 3717-3727 (2007)