Modeling of vocal tracts based on polynomials

A great problem in speech processing is to represent the shape and characteristics of the vocal tracts. This task is normally done by using an acoustics tube model, based on the calculation of the area function would be performed. The area function can be found from sagittal function determined by sagittal cub. In this paper, an optimization based method is presented to model the vocal tracts and their relationship with the fundamental frequencies of vowels and consonants. We present two models which are simple polynomials that need the minimum number of parameters. We will show that these models have good performance in experiments.