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

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  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.
  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).
  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.
  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).
  8. A. O. Boudraa, F. Salzenstein, and J. C. Cexus, "Two-dimensional continuous higher-order energy operators," Opt. Eng. (Bellingham) 44, 7001-7009 (2005).
  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).
  13. S. S. Chim and G. S. Kino, "Correlation microscope," Opt. Lett. 15, 579-581 (1990).
  14. K. G. Larkin, "Efficient nonlinear algorithm for envelope detection in white light interferometry," J. Opt. Soc. Am. A 13, 832-843 (1996).

2005 (2)

A. O. Boudraa, F. Salzenstein, and J. C. Cexus, "Two-dimensional continuous higher-order energy operators," Opt. Eng. (Bellingham) 44, 7001-7009 (2005).

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).

2002 (1)

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).

1996 (1)

1995 (2)

P. Maragos and A. Bovik, "Image demodulation using multidimensional energy separation," J. Opt. Soc. Am. A 12, 1867-1876 (1995).

P. Maragos and A. Potamianos, "Higher-order differential energy operators," IEEE Signal Process. Lett. 2, 152-154 (1995).

1994 (1)

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]

1993 (1)

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]

1990 (1)

IEEE Signal Process. Lett. (1)

P. Maragos and A. Potamianos, "Higher-order differential energy operators," IEEE Signal Process. Lett. 2, 152-154 (1995).

IEEE Trans. Signal Process. (1)

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]

J. App. Sig. Proc. (1)

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).

J. Opt. Soc. Am. A (2)

Mater. Sci. Eng. B (1)

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).

Opt. Eng. (Bellingham) (1)

A. O. Boudraa, F. Salzenstein, and J. C. Cexus, "Two-dimensional continuous higher-order energy operators," Opt. Eng. (Bellingham) 44, 7001-7009 (2005).

Opt. Lett. (1)

Signal Process. (1)

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]

Other (5)

P. Flandrin, Temps-Fréquence (Hermès, 1998).

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.

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.

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.

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.

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