Articulatory Synthesis: Numerical Solution of a Hyperbolic Differential Equation
نویسندگان
چکیده
The computation of acoltstic pressure fluctuations in a variable area tube is often done using the K elly-Lochbaum reflection model. The numerical scheme derived from this model can be put into the context of finite-difference approximations to a differential equation describing acoustic wave propagation (a hyperbolic differential equation). Quantitative criteria for goodness of finite-difference schemes (truncation error, stability, and dispersion) are discussed without considering the effect of boundary conditions. An alternative scheme that has better truncation error to the reflection model approximation is examined, but we do not necessarily recommend its adoption. The quantitative criteria should be applied to the full initialbounda7'y value problem inherent in articulatory synthesis when a numerical scheme is being chosen.
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