Multidimensional Systems and Signal Processing

, Volume 9, Issue 4, pp 391–398

Multicomponent Multidimensional Signals

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

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.

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.Google 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 IEEE Asilomar 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.Google 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.Google 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

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • Joseph P. Havlicek
    • 1
  • David S. Harding
    • 2
  • Alan C. Bovik
    • 3
  1. 1.School of Electrical and Computer EngineeringThe University of OklahomaNorman
  2. 2.Center for Vision and Image SciencesThe University of TexasAustin
  3. 3.Center for Vision and Image SciencesThe University of TexasAustin

Personalised recommendations