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The human vocal folds are known to interact with the vocal tract acoustics during voiced speech production; namely a nonlinear source-filter coupling has been observed both by using models and in in vivo phonation. These phenomena are approached from two directions in this article. We first present a computational dynamical model of the speech apparatus… (More)
We discuss a novel low-order mass-spring model of human vocal folds with in-compressible 1D flow. Our model consists of three subsystems: a flow model, a nonsymmet-ric mass-spring model for the vocal folds, and a resonator representing the vocal tract (VT).
We show under mild assumptions that a composition of internally well-posed, impedance passive (or conservative) boundary control systems through Kirchho type connections is also an internally well-posed, impedance passive (resp., conservative) boundary control system. The proof is based on results of . We also present two examples of such compositions… (More)
We show under mild assumptions that a composition of internally well-posed, impedance passive (or conservative) boundary control systems through Kirchhoff type connections is also an internally well-posed, impedance passive (resp., conservative) boundary control system. The proof is based on results of . We also present an example of such composition… (More)
We first write the two-point boundary controlled Webster's equation as a boundary control system. Using results on compositions of passive boundary control systems we show that a wave propagation problem in a network is always solvable (forward in time) and energy conservative.
We study the mechanical feedback coupling between the human vocal folds and vocal tract (VT) by simulating fundamental frequency glides over the lowest VT resonance. In the classical source– filter theory of speech production, the vocal folds produce a signal which is filtered by the resonator, vocal tract without any feedback. We have developed a… (More)
We prove the unique solvability, passivity/conservativity and some regularity results of two mathematical models for acoustic wave propagation in curved, variable diameter tubular structures of finite length. The first of the models is the generalised Webster's model that includes dissipation and curvature of the 1D waveguide. The second model is the… (More)