A new algorithm for incorporating acoustic constraints into the inverse speech problem

We describe a new noniterative algorithm that generates the unique area function determined by the vocal tract length, the lip radius, and the spectral pair consisting of poles of the transfer function and zeros of the input impedance function. Our analysis is restricted to the class of piecewise-constant area functions defined on an even number of equal length intervals. The resulting algorithm involves fewer floating point operations per evaluation than the analogous method of Paige and Zue (1970). A method which uses a corpus of X-ray data is discussed for setting the higher order unobservable pole/zero frequencies.