Advertisement

Multicomponent Multidimensional Signals

  • Joseph P. Havlicek
  • David S. Harding
  • Alan C. Bovik
Chapter

Abstract

In this brief paper, we extend the notion of multicomponent signal into multiple dimensions. A definition for multidimensional instantaneous bandwidth is presented and used to develop criteria for determining the multicomponent nature of a signal. We demonstrate application of the criteria by testing the validity of a multicomponent interpretation for a complicated nonstationary texture image.

Key Words

Multicomponent signals instantaneous frequency instantaneous bandwidth AM-FM models 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    L. Cohen, “Distributions Concentrated Along the Instantaneous Frequency,” SPIE Adv. Signal Proc. Alg., Architectures, Impl., vol. 1348, 1990, pp. 149–157.Google Scholar
  2. 2.
    L. Cohen, “What is a Multicomponent Signal?” Proc. IEEE Int’l. Conf. Acoust., Speech, Signal Proc., vol. V, pp. 113–116, San Francisco, CA, March 1992.Google Scholar
  3. 3.
    L. Cohen, Time-Frequency Analysis, Englewood Cliffs, NJ: Prentice Hall, 1995.Google Scholar
  4. 4.
    L. Cohen and C. Lee, “Instantaneous Frequency, Its Standard Deviation and Multicomponent Signals,” SPIE Adv. Alg. Architectures Signal Proc. III, vol. 975, 1988, pp. 186–208.CrossRefGoogle Scholar
  5. 5.
    L. Cohen and C. Lee, “Instantaneous Bandwidth,” B. Boashash, editor, Time-Frequency Signal Analysis, pp. 98–117. Melbourne: Longman Cheshire, 1992.Google Scholar
  6. 6.
    D. Gabor, “Theory of Communication,” J. Inst. Elect. Eng. London, vol. 93, no. III, 1946, pp. 429–457.Google Scholar
  7. 7.
    J. P. Havlicek, A. C. Bovik, and P. Maragos, “Modulation Models for Image Processing and Wavelet-Based Image Demodulation,” Proc. 26th IEEEAsilomar Conf. Signals, Syst., Comput., pp. 805–810, Pacific Grove, CA, October 26–28, 1992.Google Scholar
  8. 8.
    J. P. Havlicek, D. S. Harding, and A. C. Bovik, “The Multi-Component AM-FM Image Representation,” IEEE Trans. Image Proc., vol. 5, no. 6, 1996, pp. 1094–1100.CrossRefGoogle Scholar
  9. 9.
    J. P. Havlicek, J. W. Havlicek, and A. C. Bovik, “The Analytic Image,” Proc. IEEE Int’l. Conf. Image Proc., Santa Barbara, CA, October 26–29, 1997.Google Scholar
  10. 10.
    L. Mandel, “Interpretation of Instantaneous Frequencies,” Am. J Phys., vol. 42, 1974, pp. 840–846.CrossRefGoogle Scholar
  11. 11.
    J. Ville, “Théorie et Applications de la Notation de Signal Analytique,” Cables et Transmission, vol. 2A, 1948, pp. 61–74. Translated from the French in I. Selin, “Theory and applications of the notion of complex signal,” Tech. Rept. T-92, The RAND Corporation, Santa Monica, CA, August, 1958.Google Scholar

Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Joseph P. Havlicek
    • 1
  • David S. Harding
    • 2
  • Alan C. Bovik
    • 2
  1. 1.School of Electrical and Computer EngineeringThe University of OklahomaNormanUSA
  2. 2.Center for Vision and Image SciencesThe University of TexasAustinUSA

Personalised recommendations