Skip to main content
SpringerLink
Log in
Book cover

Wavelets and Signal Processing pp 135–175Cite as

Birkhäuser

High Performance Time-Frequency Distributions for Practical Applications

  • Chapter

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

Abstract

This chapter presents in three interrelated sections the key concepts and techniques needed to design and use high performance time-frequency distributions (11-Ds) in real-world practical applications.

Section 6.1 first presents, in a heuristic approach, thecore conceptsforming the field of time-frequency signal processing, incorporating recent developments, such as the design of high resolution quadratic TFDs for multicomponent signal analysis.

Section 6.2 outlinesmethods of assessmentof the performance of time-frequency techniques, in terms of the resolution performance of TFDs in separating closely spaced components in the time-frequency domain. A performance measure is defined using key attributes of TFDs, such as the components’ mainlobes and sidelobes, and cross-terms. This method of assessment of TFDs performance has led to improvements in designing high resolution quadratic TFD for time-frequency analysis of multicomponent signals

Section 6.3 presents amethodologyfor selecting the optimal TFD for a given real-life signal under application-specific constraints. The methodology, based on the performance measure, allows for emphasis of signal features in specific regions of interest in the time-frequency domain.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. B. Boashash and V. Sucic, A resolution performance measure for quadratic time-frequency distributions. In Proc. 10th IEEE Workshop on Statistical Signal and Array Processing SSAP 2000 pages 584–588, Pocono Manor, PA, USA, August 2000.

    Google Scholar 

  2. B. Boashash, editor Time-Frequency Signal Analysis and Processing. Prentice-Hall, Englewood Cliffs, NJ, 2003.

    Google Scholar 

  3. B. Boashash, Time¨Cfrequency signal analysis. In S. Haykin, editor Advances in Spectrum Analysis and Array Processing volume 1, chapter 9, pages 418–517. Prentice-Hall, Englewood Cliffs, NJ, 1991.

    Google Scholar 

  4. B. Boashash, Estimating and interpreting the instantaneous frequency of a signal—part 1: Fundamentals, part 2: Algorithms and applications. Proceedings of the IEEE 80(4):519–568, April 1992.

    Google Scholar 

  5. Z. M. Hussain and B. Boashash, Multi-component IF estimation InProc.10 th IEEE Workshop on Statistical Signal and Array Processing SSAP 2000, pages 559–563, Pocono Manor, PA, USA, August 2000.

    Google Scholar 

  6. B. Boashash, editor Time-Frequency Signal Analysis. Methods and Applications. Longman¨CCheshire/Wiley, Melbourne/New York, 1992.

    Google Scholar 

  7. L. Cohen Time-Frequency Analysis. Prentice-Hall, Englewood Cliffs, NJ, 1995.

    Google Scholar 

  8. C. H. Page, Instantaneous power spectra. Journal of Applied Physics 23(1):103–106, January 1952.

    Article  MATH  Google Scholar 

  9. D. Gabor, Theory of communication. Journal of IEE 93:429–457, 1946.

    Google Scholar 

  10. L. Cohen, Time-frequency distributions—a review. Proceedings of the IEEE 77(7):941–981, July 1989.

    Article  Google Scholar 

  11. P. Z. PeeblesProbability Random Variables and Random Signal Principles. McGraw-Hill, New York, NY, 4th edition, 2001.

    Google Scholar 

  12. P. Flandrin, Some features of time-frequency representation of multicomponent signals. In Proc. IEEE Int. Conf. on Acoustics Speech and Signal Processing, ICASSP 1984 pages 41.B.4.1–4, San Diego, CA, USA, March 1984.

    Google Scholar 

  13. H. Choi and W. Williams, Improved time-frequency representation of multicomponent signals using exponential kernels. IEEE Transactions on Acoustics Speech and Signal Processing 37(6):862–871, June 1989.

    Article  Google Scholar 

  14. B. Barkat and B. Boashash, A high—resolution quadratic time—frequency distribution for multicomponent signals analysis. IEEE Transactions on Signal Processing 49(10):2232–2239, October 2001.

    Article  Google Scholar 

  15. Lj. Stankovic, An analysis of some time-frequency and time-scale distributions. Annales—des—Telecommunications 49(9–10):505–517, September/October 1994.

    MATH  Google Scholar 

  16. Lj. Stankovic, Auto-term representation by the reduced interference distributions: A procedure for kernel design. IEEE Transactions on Signal Processing 44(6):1557–1563, June 1996.

    Article  Google Scholar 

  17. M. G. Amin and W. Williams, High spectral resolution time-frequency distribution kernels. IEEE Transactions on Signal Processing 46(10):2796–2803, October 1998.

    Article  Google Scholar 

  18. John Gould’s Birds of Australia, RMB 4375, Seymour 3660, Victoria, Australia, On CD-ROM.

    Google Scholar 

  19. Y. Zhao, R. J. Marks, and L. E. Atlas, The use of cone-shaped kernels for generalised time-frequency representations of nonstationary signals. IEEE Transactions on Acoustics Speech and Signal Processing 38(7):1082–1091, July 1990.

    Article  Google Scholar 

  20. D. Jones and T. Parks, A high resolution data-adaptive time-frequency representation. IEEE Transactionson Acoustics, Speech and Signal Processing, 38(12):2127–2135, December 1990.

    Article  Google Scholar 

  21. W. J. Williams and T. Sang, Adaptive RID kernels which minimize time-frequency uncertainty. In Proc. IEEE—SP Int. Symposium on Time-Frequency and Time-Scale Analysis pages 96–99, Philadelphia, PA, USA, October 1994.

    Chapter  Google Scholar 

  22. T. H. Sang and W. J. Williams, Renyi information and signal-dependent optimal kernel design. In Proc. IEEE Int. Conf. on Acoustics Speech and Signal Processing ICASSP 1995 volume 2, pages 997–1000, Detroit, MI, USA, May 1995.

    Google Scholar 

  23. P. Oliviera and V. Barosso, Uncertainty in the time-frequency plane. In Proc. 10th IEEE Workshop on Statistical Signal and Array Processing SSAP 2000 pages 607–611, Pocono Manor, PA, USA, August 2000.

    Google Scholar 

  24. V. Sucic and B. Boashash, On the selection of quadratic time-frequency distributions and optimisation of their parameters. In Proc. 3rd Australasian Workshop on Signal Processing Applications, WoSPA 2000, Brisbane, Australia, December 2000. On CD-ROM.

    Google Scholar 

  25. V. Sucic, B. Barkat, and B. Boashash, Performance evaluation of the B-distribution. In Proc. 5th Int. Symposium on Signal Processing and Its Applications ISSPA 1999 volume 1, pages 267–270, Brisbane, Australia, August 1999.

    Google Scholar 

  26. G. Frazer and B. Boashash, Multiple view time-frequency distributions. In Proc. 27th Asilomar Conference on Signals Systems and Computers volume 1, pages 513–517, Los Alamitos, CA, USA, 1993.

    Chapter  Google Scholar 

  27. V. Sucic and B. Boashash, Parameter selection for optimising time-frequency distributions and measurements of time-frequency characteristics of non-stationary signals. In Proc. IEEE Int. Conf. on Acoustics Speech and Signal Processing ICASSP 2001 volume 6, pages 3557–3560, Salt Lake City, UT, USA, May 2001.

    Google Scholar 

  28. V. Sucic and B. Boashash, Optimisation algorithm for selecting quadratic time-frequency distributions: Performance results and calibration. In Proc. 6th Int. Symposium on Signal Processing and Its Applications ISSPA 2001,volume 1, pages 331–334, Kuala-Lumpur, Malaysia, August 2001.

    Google Scholar 

Download references

Authors
  1. Boualem Boashash
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Victor Sucic
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Mathematics, The University of Texas-Pan American, Edinburg, TX, 78539-2999, USA

    Lokenath Debnath

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer Science+Business Media New York

About this chapter

Cite this chapter

Boashash, B., Sucic, V. (2003). High Performance Time-Frequency Distributions for Practical Applications. In: Debnath, L. (eds) Wavelets and Signal Processing. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0025-3_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-0025-3_6

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6578-8

  • Online ISBN: 978-1-4612-0025-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation