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Using the Formant/cavity Affiliation to Study the Inter-speaker Variability: Assessment from MRI Data

 Lian Apostol, Pascal Perrier, Monica Baciu, Christoph Segebarth and Pierre Badin
  
 

Abstract:

Three speakers of French (two males and one female) were the subjects of an MRI analysis of the vocal tract during the production of sustained isolated French vowels. From a 3D reconstruction of the vocal tract, area functions were determined for each vowel, and the corresponding formant values were computed with a harmonic model of the vocal tract. Using the computation of the relative formants shifts associated to localized area function changes, the main affiliations between formants and cavities were found. Based on these functions, as well as on geometrical criteria, each area function was divided into laryngeal cavity, back cavity, constriction cavity, and front cavity. One of the male speakers was chosen as "target speaker". Then, a resonance based approach was used to bring the formant patterns of the two remaining speakers (called test speakers) closer to the ones of the target speaker. For that, a transformation coefficient was calculated, for each vocal tract cavity (except for the larynx), as the ratio of the formants corresponding to the lowest resonance (except Helmholtz) of the cavity of the test speaker and of the target speaker respectively. Then, the [a i u] MRI area functions of the test speaker were distorted in length, cavity by cavity, according to these coefficients. The comparison of the accuracy of these predictions with the actual differences measured between speakers shows that our method is quite powerful if the lowest formant frequencies are either half-wavelength or quarter-wavelength resonances of the main vocal tract cavities, and if the nature of the resonance modes associated to the formants are the same for both subjects. Differences between speakers in the coupling of the cavities does not seem to be a major factor of the inter-speaker variability.

 
 


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