Kinematic formant-to-area mapping

Schoentgen, Jean; Ciocea, Sorin

doi:10.1016/s0167-6393(97)00007-1

Cited by 9 publications

(5 citation statements)

References 29 publications

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“…However, the phonetic exploitation of articulatory models goes against models that describe the vocal tract with a very small number of parameters, e.g., some area function models, even if they enable an excellent frequency precision as that used by Schoentgen and Ciocea. 13 For this reason we accepted Maeda's model that approximates the sagittal slice of the vocal tract instead of an area function model [25][26][27][28][29] whose faithfulness with respect to the human vocal tract cannot be guaranteed. This model, as others, relies on the processing of vocal tract images ͑either x-ray images for Maeda 30 and Gabioud 31 or MRI for Badin 32 and Engwall 33 ͒.…”

Section: Which Articulatory Model For Inversion?mentioning

confidence: 99%

Modeling the articulatory space using a hypercube codebook for acoustic-to-articulatory inversion

Ouni

Laprie

2005

The Journal of the Acoustical Society of America

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Acoustic-to-articulatory inversion is a difficult problem mainly because of the nonlinearity between the articulatory and acoustic spaces and the nonuniqueness of this relationship. To resolve this problem, we have developed an inversion method that provides a complete description of the possible solutions without excessive constraints and retrieves realistic temporal dynamics of the vocal tract shapes. We present an adaptive sampling algorithm to ensure that the acoustical resolution is almost independent of the region in the articulatory space under consideration. This leads to a codebook that is organized in the form of a hierarchy of hypercubes, and ensures that, within each hypercube, the articulatory-to-acoustic mapping can be approximated by means of a linear transform. The inversion procedure retrieves articulatory vectors corresponding to acoustic entries from the hypercube codebook. A nonlinear smoothing algorithm together with a regularization technique is then used to recover the best articulatory trajectory. The inversion ensures that inverse articulatory parameters generate original formant trajectories with high precision and a realistic sequence of the vocal tract shapes.

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Section: Which Articulatory Model For Inversion?mentioning

confidence: 99%

Modeling the articulatory space using a hypercube codebook for acoustic-to-articulatory inversion

Ouni

Laprie

2005

The Journal of the Acoustical Society of America

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“…An explicit correction vector is computed, based on the use of the pseudo-inverse computed similarly to Schoentgen [11] through Singular Value Decomposition, which allows us to explicitly compute a correction vector that is more likely to converge towards a local minimum of the acoustic error.…”

Section: Initial Study and Proposed Modificationsmentioning

confidence: 99%

A robust variational method for the acoustic-to-articulatory problem

Potard¹,

Laprie²

2009

Interspeech 2009

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“…Indeed, due to the nonuniqueness, it is known that the vocal-tract area function cannot be deterministically reconstructed from the radiated speech wave alone, although statistical methods have been attempted. [17][18][19][20][21] Nevertheless, recent results from the mathematical literature report existence proofs for the temporal inversion of the Webster equation from radiated data and known initial conditions. [22][23][24] In this paper, a novel and computationally efficient, frequency-domain method for the deterministic acoustical duct inversion is presented, which makes no demands on the direct measurement of either reflectance or impedance.…”

Section: Introductionmentioning

confidence: 99%

Inverse potential scattering in duct acoustics

Forbes¹,

Pike

Sharp

et al. 2006

The Journal of the Acoustical Society of America

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The inverse problem of the noninvasive measurement of the shape of an acoustical duct in which one-dimensional wave propagation can be assumed is examined within the theoretical framework of the governing Klein-Gordon equation. Previous deterministic methods developed over the last 40 years have all required direct measurement of the reflectance or input impedance but now, by application of the methods of inverse quantum scattering to the acoustical system, it is shown that the reflectance can be algorithmically derived from the radiated wave. The potential and area functions of the duct can subsequently be reconstructed. The results are discussed with particular reference to acoustic pulse reflectometry.

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Kinematic formant-to-area mapping

Cited by 9 publications

References 29 publications

Modeling the articulatory space using a hypercube codebook for acoustic-to-articulatory inversion

Modeling the articulatory space using a hypercube codebook for acoustic-to-articulatory inversion

A robust variational method for the acoustic-to-articulatory problem

Inverse potential scattering in duct acoustics

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