Abstract
The inverse scattering problem is reviewed for determining the cross sectional area of a human vocal tract. 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.
The research leading to this article was supported in part by the National Science Foundation under grant DMS-0204437 and the Department of Energy under grant DE-FG02-01ER45951.
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Aktosun, T. (2006). Inverse Scattering to Determine the Shape of a Vocal Tract. In: Dritschel, M.A. (eds) The Extended Field of Operator Theory. Operator Theory: Advances and Applications, vol 171. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7980-3_1
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