Skip to main content
SpringerLink
Log in

Wigner-Ville Representation of a Stationary Voiced Speech Model

  • Chapter
  • First Online:
Recent Advances in Nonlinear Speech Processing

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 48))

  • 806 Accesses

Abstract

The Wigner Ville transform is introduced as an appropriate tool to analyze the signal in time and frequency plan since it give an accurate representation of energy. This article aims at providing a new mathematical representation for voiced speech signal based on Wigner Ville transform (WVT). We will create in the first place a mathematical formulation of the Wigner Ville Transform of a stationary voiced speech model. The speech model is expressed as a linear combination of sine waves with amplitudes, phases and harmonic frequencies. We then will compare the WVT of a real voiced speech signal to the WVT terms of the previous model.

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

Access this chapter

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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

Institutional subscriptions

References

  1. Boashash, B.: Time-Frequency Signal Analysis and Processing. A Comprehensive Reference. Elsevier (2003)

    Google Scholar 

  2. Calliope: La parole et son traitement automatique. Collection technique et scientifique des telecommunications (1989)

    Google Scholar 

  3. Ellis, D.P.W.: An introduction to signal processing for speech. In: The Handbook of Phonetic Sciences (2008)

    Google Scholar 

  4. Auger, F., Chassande-Mottin, E., Patrick, F.: On the statistics of spectrogram reassignment vectors. Multimedia Syst. Signal Process. 9 (1998)

    Google Scholar 

  5. Meyer, G., Plante, F., Ainsworth, W.A.: Improvement of speech spectrogram accuracy by the method of reassignment. IEEE Trans. Speech Audio Process. 6(3) (1998)

    Google Scholar 

  6. Meyer, G., Plante, F., Ainsworth, W.A.: Speech signal analysis with reallocated spectrogram. IEEE (1994)

    Google Scholar 

  7. Flandrin, P.: Time-frequency representation of non-stationary signals. Traitement du signal 6(2) (1989)

    Google Scholar 

  8. Flandrin, P.: Remarks on the notion of time-frequency localization. Traitement du signal 15(6) (1998)

    Google Scholar 

  9. Flandrin, P., Auger, F.: Improving the readability of time-frequency and time-scale representations by the reassignment method. IEEE Trans. Signal Process. 43(5), (1995)

    Google Scholar 

  10. OShaughnessy, D., Deng, L.: A dynamic and optimization-oriented approach. Speech Process. Marcel Dekker Inc. New York, NY, U.S.A. (2003)

    Google Scholar 

  11. Stankovic, S., Stankovic, L., Dakovic, M.: From the stft to wigner distribution. IEEE Signal Process. Mag. 31(3), 163–174 (2014)

    Google Scholar 

  12. Mallat, S.: A Wavelet Tour of Signal Processing, 2nd edn. Academic Press (1998–1999)

    Google Scholar 

  13. Gerkmann, T., Krawczyk, M.: STFT phase reconstruction in voiced speech for an improved single-channel speech enhancement. IEEE/ACM Trans. Audio Speech Lang. Process. 22(12), 1931–1940 (2014)

    Google Scholar 

  14. Escudi, B., Flandrin, P.: Principle and application of time-frequency analysis by means of the wigner-ville transform. Traitement du signal 2(2) (1985)

    Google Scholar 

  15. Quatieri, T.F., McAulay, R.J.: Speech processing based on a sinusoidal model. Lincoln Lab. J. 1(2) (1988)

    Google Scholar 

  16. Portnoff, M.R.: Implementation of the digital phase vocoder using the fast Fourier transform. IEEE Trans. Acoust. Speech Signal Process. ASSP 2(3) (1976)

    Google Scholar 

  17. Macleod, M.D., Hainsworth, S.W.: Time frequency reassignment: a review and analysis. Technical Report, Cambridge University Engineering Department, CUED/F-INFENG/TR.459

    Google Scholar 

  18. Flandrin, P., Martin, W.: Wigner Ville spectral analysis of non stationary process. IEEE Trans. Acoust. Speech Audio Process. ASSP 33(6), (1985)

    Google Scholar 

  19. Goutte, R., Zhu, Y.M., Peyrin, F.: Transformation de Wigner-Ville: description d’un nouvel outil de traitement du signal et des images. Ann. Telecommun. (1987)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Signal, Image and Pattern Recognition Lab, National School of Engineers of Tunis ENIT, Tunis, Tunisia

    Khawla Zammel & Noureddine Ellouze

Authors
  1. Khawla Zammel
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Noureddine Ellouze
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Khawla Zammel or Noureddine Ellouze .

Editor information

Editors and Affiliations

  1. Department of Psychology, Seconda Università di Napoli and IIASS, Caserta, Italy

    Anna Esposito

  2. (Pompeu Fabra University), Escola Superior Politècnica Tecnocampus, Mataró, Spain

    Marcos Faundez-Zanuy

  3. sezione di Napoli Osservatorio, Istituto Nazionale di Geofisica e Vulcan, Napoli, Italy

    Antonietta M. Esposito

  4. Department of Psychology, Seconda Universita di Napoli and IIASS, Caserta, Italy

    Gennaro Cordasco

  5. Boulevard Dolez, University of Mons, TCTS Lab.31, Mons, Belgium

    Thomas Drugman

  6. Data and Signal Processing Research Grou, University of Vic, Vic, Spain

    Jordi Solé-Casals

  7. NeuroLab, Università degli Studi "Mediterranea" di, Reggio Calabria, Italy

    Francesco Carlo Morabito

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Zammel, K., Ellouze, N. (2016). Wigner-Ville Representation of a Stationary Voiced Speech Model. In: Esposito, A., et al. Recent Advances in Nonlinear Speech Processing. Smart Innovation, Systems and Technologies, vol 48. Springer, Cham. https://doi.org/10.1007/978-3-319-28109-4_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-28109-4_18

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-28107-0

  • Online ISBN: 978-3-319-28109-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation