Determination of vocal-tract shapes from formant frequencies based on perturbation theory and interpolation method

2002 ◽  
Author(s):  
Zhenli Yu ◽  
P.C. Ching
Keyword(s):  
Perturbation Theory ◽  
Vocal Tract ◽  
Interpolation Method ◽  
Formant Frequencies

SIMCV un simulateur analogue de la propagation du son dans le conduit vocal

2007 ◽  
Vol 85 (12) ◽  
pp. 1325-1341 ◽  
Author(s):  
H Teffahi
Keyword(s):  
Wave Propagation ◽  
Transfer Function ◽  
Vocal Tract ◽  
Simulation Method ◽  
Formant Frequencies ◽  
Differential Contribution

Wave propagation in a vocal tract incurring losses with yielding walls is studied. The simulation method of this vocal tract is described. The adopted method allowed us to calculate the transfer function, the formant frequencies, and the formant bandwidths of the vocal tract. The results obtained permit the determination of the differential contribution of the different loss sources for formant frequencies and formant bandwidths.

scholarly journals Determination of α(Mz) from an hyperasymptotic approximation to the energy of a static quark-antiquark pair

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Cesar Ayala ◽  
Xabier Lobregat ◽  
Antonio Pineda
Keyword(s):  
Perturbation Theory ◽  
Energy Range ◽  
Short Distance ◽  
Weak Coupling ◽  
Strong Consistency ◽  
Lattice Data ◽  
Static Potential ◽  
Static Energy ◽  
Static Quark

Abstract We give the hyperasymptotic expansion of the energy of a static quark-antiquark pair with a precision that includes the effects of the subleading renormalon. The terminants associated to the first and second renormalon are incorporated in the analysis when necessary. In particular, we determine the normalization of the leading renormalon of the force and, consequently, of the subleading renormalon of the static potential. We obtain $$ {Z}_3^F $$ Z 3 F (nf = 3) = $$ 2{Z}_3^V $$ 2 Z 3 V (nf = 3) = 0.37(17). The precision we reach in strict perturbation theory is next-to-next-to-next-to-leading logarithmic resummed order both for the static potential and for the force. We find that the resummation of large logarithms and the inclusion of the leading terminants associated to the renormalons are compulsory to get accurate determinations of $$ {\Lambda}_{\overline{\mathrm{MS}}} $$ Λ MS ¯ when fitting to short-distance lattice data of the static energy. We obtain $$ {\Lambda}_{\overline{\mathrm{MS}}}^{\left({n}_f=3\right)} $$ Λ MS ¯ n f = 3 = 338(12) MeV and α(Mz) = 0.1181(9). We have also MS found strong consistency checks that the ultrasoft correction to the static energy can be computed at weak coupling in the energy range we have studied.

scholarly journals A Multimethod Analysis for Average Annual Precipitation Mapping in the Khorasan Razavi Province (Northeastern Iran)

Atmosphere ◽  
2021 ◽  
Vol 12 (5) ◽  
pp. 592
Author(s):  
Mehdi Aalijahan ◽  
Azra Khosravichenar
Keyword(s):  
Regional Planning ◽  
Interpolation Method ◽  
Absolute Error ◽  
Rain Gauge ◽  
Annual Precipitation ◽  
Coefficient Of Determination ◽  
Distance Weighting ◽  
Average Annual Precipitation ◽  
Inverse Distance

The spatial distribution of precipitation is one of the most important climatic variables used in geographic and environmental studies. However, when there is a lack of full coverage of meteorological stations, precipitation estimations are necessary to interpolate precipitation for larger areas. The purpose of this research was to find the best interpolation method for precipitation mapping in the partly densely populated Khorasan Razavi province of northeastern Iran. To achieve this, we compared five methods by applying average precipitation data from 97 rain gauge stations in that province for a period of 20 years (1994–2014): Inverse Distance Weighting, Radial Basis Functions (Completely Regularized Spline, Spline with Tension, Multiquadric, Inverse Multiquadric, Thin Plate Spline), Kriging (Simple, Ordinary, Universal), Co-Kriging (Simple, Ordinary, Universal) with an auxiliary elevation parameter, and non-linear Regression. Root Mean Square Error (RMSE), Mean Absolute Error (MAE), and the Coefficient of Determination (R2) were used to determine the best-performing method of precipitation interpolation. Our study shows that Ordinary Co-Kriging with an auxiliary elevation parameter was the best method for determining the distribution of annual precipitation for this region, showing the highest coefficient of determination of 0.46% between estimated and observed values. Therefore, the application of this method of precipitation mapping would form a mandatory base for regional planning and policy making in the arid to semi-arid Khorasan Razavi province during the future.

Device for the Experimental Determination of Control Objects' Mathematical Models

2013 ◽  
Vol 650 ◽  
pp. 493-497 ◽  
Author(s):  
Valerij I. Goncharov ◽  
Vadim A. Onufriev ◽  
Ilya O. Ilyin
Keyword(s):  
Control Systems ◽  
Computer Technology ◽  
Interpolation Method ◽  
Facilities Management ◽  
Operational Conditions ◽  
Automatic Control Systems ◽  
Interpolation Procedure ◽  
Real Interpolation Method ◽  
Inverse Problems Of Dynamics

Authors review methods of determining a plant’s mathematical model. Then, they show a numerical method of pulse automatic control systems’ (ACS) identification, focused on computer technology, the interpolation procedure and iterative methods of approximation to the desired solution. The basis of the approach is the method of inverse problems of dynamics and real interpolation method for calculating the linearized dynamical systems. An algorithm and the mobile device designed for the identification of facilities management in operational conditions are proposed. There is results’ application in the conclusion.

Correlation between vocal tract length, body height, formant frequencies, and pitch frequency for the five Japanese vowels uttered by fifteen male speakers

2012 ◽  
Author(s):  
Hiroaki Hatano ◽  
Tatsuya Kitamura ◽  
Hironori Takemoto ◽  
Parham Mokhtari ◽  
Kiyoshi Honda ◽  
...  
Keyword(s):  
Vocal Tract ◽  
Body Height ◽  
Tract Length ◽  
Formant Frequencies ◽  
Pitch Frequency

Formant Frequencies of Stuttered and Fluent Vowels

1987 ◽  
Vol 30 (3) ◽  
pp. 301-305 ◽  
Author(s):  
Robert A. Prosek ◽  
Allen A. Montgomery ◽  
Brian E. Walden ◽  
David B. Hawkins
Keyword(s):  
Vocal Tract ◽  
Formant Frequencies ◽  
Vowel Space

The formant frequencies of 15 adult stutterers' fluent and disfluent vowels and the formant frequencies of stutterers' and nonstutterers' fluent vowels were compared in an F1-F2 vowel space and in a normalized F1-F2 vowel space. The results indicated that differences in formant frequencies observed between the stutterers' and nonstutterers' vowels can be accounted for by differences among the vocal tract dimensions of the talkers. In addition, no differences were found between the formant frequencies of the fluent and disfluent vowels produced by the stutterers. The overall pattern of these results indicates that, contrary to recent reports (Klich & May, 1982), stutterers do not exhibit significantly greater vowel centralization than nonstutterers.

Determination of the Shape of a Lossy Vocal Tract

1971 ◽  
Vol 50 (1A) ◽  
pp. 108-108 ◽  
Author(s):  
M. M. Sondhi ◽  
B. Gopinath
Keyword(s):  
Vocal Tract
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