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On the relationship between input parameters in the two-mass - - PowerPoint PPT Presentation

On the relationship between input parameters in the two-mass vocal-fold model with acoustical coupling and signal parameters of the glottal flow A. Van Hirtum 1 , I. Lopez 2 , M. Hirschberg 2 , X. Pelorson 1 1 ICP, INPG, Grenoble, France 2 TUE,


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On the relationship between input parameters in the two-mass vocal-fold model with acoustical coupling and signal parameters of the glottal flow

  • A. Van Hirtum1, I. Lopez2, M. Hirschberg2, X. Pelorson1

1ICP, INPG, Grenoble, France 2TUE, Eindhoven, The Netherlands

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Introduction voiced sound glottal volume air flow (Ug) analysis synthesis production generative model physical model

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Introduction generative function two-mass model glottal volume air flow (Ug) generative model physical model

acoustical signal physiology & fluid flow simplification of reality

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Objective

To assess the sensitivity

  • f the two-mass model

with acoustical coupling to the input-parameters

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input parameters (I) (physiology, fluid flow, intrinsic)

physical two-mass model (Lous)

glottal volume flow Ug

generative function (LF)

glottal volume flow Ug signal parameters (S) (acoustical signal, intrinsic)

Objective

voice quality parameters (time)

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Two-mass vocal fold model

physiology mechanics fluid flow vocal fold sub-glottal (trachea h0) supra-glottal (vocal tract h3) y x Psub mtot

K1, ξ1 K2, ξ2 hc

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Vocal tract configuration

/a/ /i/

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Signal time-parameters /a/ (S)

Q0=t0/T0 Qs=tp/tn Qr=Ap/An U0 , D0 , F0 , Te , Ta , Ag (hmin) Qm=U0/D0

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Relative sensitivity index

ref ref var ref ref var

)/I I (I )/S S (S β[-] − − =

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Two-mass model input parameter reference values (I)

x1/x2 h3 ξc Kc mtot h0 Lg 12 mm 0.0002 mm Lin, Lout 0.06 1000 Pa Psub /a/, /i/ 0.01 mm y1, y2 1.1 0.1 ξ1, ξ2 20 N/m 40 N/m K1, K2 0.2 g 0.1 g m1, m2 3 mm 10 mm Lw

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0.0005 0.0047 0.0007 0.0015 0.29 0.0002 2.90 3.18 0.70 104

/i/

0.0006 0.014 0.0010 0.0022 0.24 0.0002 1.37 1.78 0.69 108

/a/

hmin [m] Ta [s] Te [s] Qm [s] D0 [m3/s2] U0 [m3/s] Qr [-] Qs [-] Q0 [-] F0 [Hz]

Reference signal parameters from Ug (dUg)

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/a/ /i/ >600 Sensitivity F0 Qs U0 Qm Ta Q0 Qr D0 Te hmin

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/a/ /i/

/a/ /i/ ≠

F0 Qs U0 Qm Ta Q0 Qr D0 Te hmin

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/a/ /i/ F0 Qs U0 Qm Ta Q0 Qr D0 Te hmin

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/a/ /i/

) β(K β(K)

c

>

F0 Qs U0 Qm Ta Q0 Qr D0 Te hmi

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Conclusion

  • sensitivity of the input-parameters of physical two-mass

model on signal-parameters is quantified in terms of vocal quality parameters and 4 Liljencrants-Fant input parameters

  • influence of vocal tract shape on the sensitivity
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Introduction voiced sound glottal volume air flow (Ug) analysis synthesis production

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Introduction analysis synthesis production glottal volume air flow (Ug) generative model physical model