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Inverse scattering to determine the shape of a vocal tract. (English) Zbl 1110.35097

Dritschel, Michael A. (ed.), The extended field of operator theory. Containing lectures of the 15th international workshop on operator theory and its applications, IWOTA 2004, Newcastle, Uk, July 12–16, 2004. Basel: Birkhäuser (ISBN 978-3-7643-7979-7/hbk; 978-3-7643-7980-3/e-book). Operator Theory: Advances and Applications 171, 1-16 (2006).
Summary: The inverse scattering problem is reviewed for determining the cross sectional area of a human vocal track. Various data sets are examined resulting from a unit-amplitude, monochromatic, sinusoidal volume velocity sent from the glottis towards the lips. In case of nonuniqueness from a given data set, additional information is indicated for the unique recovery.
For the entire collection see [Zbl 1105.47002].

MSC:

35R30 Inverse problems for PDEs
34A55 Inverse problems involving ordinary differential equations
76Q05 Hydro- and aero-acoustics
92C50 Medical applications (general)
35J25 Boundary value problems for second-order elliptic equations
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