OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 12 — Dec. 1, 2007
  • pp: 3717–3727

Generalized higher-order nonlinear energy operators

Fabien Salzenstein, Abdel-Ouahab Boudraa, and Jean-Christophe Cexus  »View Author Affiliations


JOSA A, Vol. 24, Issue 12, pp. 3717-3727 (2007)
http://dx.doi.org/10.1364/JOSAA.24.003717


View Full Text Article

Enhanced HTML    Acrobat PDF (255 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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

OCIS Codes
(100.0100) Image processing : Image processing
(260.0260) Physical optics : Physical optics

ToC Category:
Image Processing

History
Original Manuscript: January 23, 2007
Revised Manuscript: September 1, 2007
Manuscript Accepted: September 10, 2007
Published: November 19, 2007

Citation
Fabien Salzenstein, Abdel-Ouahab Boudraa, and Jean-Christophe Cexus, "Generalized higher-order nonlinear energy operators," J. Opt. Soc. Am. A 24, 3717-3727 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-12-3717


Sort:  Year  |  Journal  |  Reset  

References

  1. J. F. Kaiser, "Some useful properties of Teager's energy operator," in Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (IEEE, 1993), pp. 149-152. [CrossRef]
  2. P. Maragos, T. F. Quatieri, and J. F. Kaiser, "Energy separation in signal modulations with applications to speech analysis," IEEE Trans. Signal Process. 41, 3024-3051 (1993). [CrossRef]
  3. F. Salzenstein, P. C. Montgomery, D. Montaner, and A. O. Boudraa, "Teager-Kaiser energy and higher-order operators in white-light interference microscopy for surface shape measurement," J. App. Sig. Proc. 17, 2804-2815 (2005).
  4. P. Maragos and A. Bovik, "Image demodulation using multidimensional energy separation," J. Opt. Soc. Am. A 12, 1867-1876 (1995). [CrossRef]
  5. F. Salzenstein, P. Montgomery, A. Benatmane, and A. O. Boudraa, "2D discrete high order energy operators for surface profiling using white light interferometry," in Proceedings of International Symposium on Signal Processing and its Applications (IEEE, 2003), pp. 601-604. [CrossRef]
  6. B. Santhanam and P. Maragos, "Energy demodulation of two component AM-FM signals with application to speaker separation," in Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (IEEE, 1996), p. 3518.
  7. P. Maragos and A. Potamianos, "Higher-order differential energy operators," IEEE Signal Process. Lett. 2, 152-154 (1995). [CrossRef]
  8. A. O. Boudraa, F. Salzenstein, and J. C. Cexus, "Two-dimensional continuous higher-order energy operators," Opt. Eng. (Bellingham) 44, 7001-7009 (2005). [CrossRef]
  9. A. Potamianos and P. Maragos, "A comparison of the energy operator and the Hilbert transform approach to signal and speech demodulation," Signal Process. 37, 95-120 (1994). [CrossRef]
  10. P. Flandrin, Temps-Fréquence (Hermès, 1998).
  11. L. Wei, C. Hamilton, and P. Chitrapu, "A generalization to the Teager-Kaiser energy function and application to resolving two closely-spaced tones," in Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (IEEE, 1995), p. 1637.
  12. P. C. Mongomery, A. Benatmane, E. Fogarassy, and J. P. Ponpon, "Large area, high resolution analysis of surface roughness of semiconductors using interference microscopy," Mater. Sci. Eng. B 91-92, 79-82 (2002). [CrossRef]
  13. S. S. Chim and G. S. Kino, "Correlation microscope," Opt. Lett. 15, 579-581 (1990). [CrossRef] [PubMed]
  14. K. G. Larkin, "Efficient nonlinear algorithm for envelope detection in white light interferometry," J. Opt. Soc. Am. A 13, 832-843 (1996). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited