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.
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Boashash, B.: Time-Frequency Signal Analysis and Processing. A Comprehensive Reference. Elsevier (2003)
Calliope: La parole et son traitement automatique. Collection technique et scientifique des telecommunications (1989)
Ellis, D.P.W.: An introduction to signal processing for speech. In: The Handbook of Phonetic Sciences (2008)
Auger, F., Chassande-Mottin, E., Patrick, F.: On the statistics of spectrogram reassignment vectors. Multimedia Syst. Signal Process. 9 (1998)
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)
Meyer, G., Plante, F., Ainsworth, W.A.: Speech signal analysis with reallocated spectrogram. IEEE (1994)
Flandrin, P.: Time-frequency representation of non-stationary signals. Traitement du signal 6(2) (1989)
Flandrin, P.: Remarks on the notion of time-frequency localization. Traitement du signal 15(6) (1998)
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)
OShaughnessy, D., Deng, L.: A dynamic and optimization-oriented approach. Speech Process. Marcel Dekker Inc. New York, NY, U.S.A. (2003)
Stankovic, S., Stankovic, L., Dakovic, M.: From the stft to wigner distribution. IEEE Signal Process. Mag. 31(3), 163–174 (2014)
Mallat, S.: A Wavelet Tour of Signal Processing, 2nd edn. Academic Press (1998–1999)
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)
Escudi, B., Flandrin, P.: Principle and application of time-frequency analysis by means of the wigner-ville transform. Traitement du signal 2(2) (1985)
Quatieri, T.F., McAulay, R.J.: Speech processing based on a sinusoidal model. Lincoln Lab. J. 1(2) (1988)
Portnoff, M.R.: Implementation of the digital phase vocoder using the fast Fourier transform. IEEE Trans. Acoust. Speech Signal Process. ASSP 2(3) (1976)
Macleod, M.D., Hainsworth, S.W.: Time frequency reassignment: a review and analysis. Technical Report, Cambridge University Engineering Department, CUED/F-INFENG/TR.459
Flandrin, P., Martin, W.: Wigner Ville spectral analysis of non stationary process. IEEE Trans. Acoust. Speech Audio Process. ASSP 33(6), (1985)
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)
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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
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DOI: https://doi.org/10.1007/978-3-319-28109-4_18
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