New compensation factors for the apparent propagation speed In transmission line matrix uniform grid meshes

2014 ◽  
Vol 136 (4) ◽  
pp. 2282-2282
Author(s):  
Alexandre Brandao ◽  
Edson Cataldo ◽  
Fabiana R. Leta
Keyword(s):  
Transmission Line ◽  
Propagation Speed ◽  
Uniform Grid ◽  
Transmission Line Matrix

On the Apparent Propagation Speed in Transmission Line Matrix Uniform Grid Meshes

2014 ◽  
Vol 136 (6) ◽  
Author(s):  
Alexandre S. Brandão ◽  
Edson Cataldo ◽  
Fabiana R. Leta
Keyword(s):  
Transmission Line ◽  
Sound Propagation ◽  
Vocal Tract ◽  
Numerical Models ◽  
A Priori ◽  
Three Dimensional ◽  
Propagation Speed ◽  
Uniform Grid ◽  
Transmission Line Matrix ◽  
Resonance Frequencies

Numerical models consisting of two-dimensional (2D) and three-dimensional (3D) uniform grid meshes for the transmission line matrix method (TLM) currently use 2 and 3, respectively, to compensate for the apparent sound speed. In this paper, new compensation factors are determined from a priori simulations, performed without compensation, in 2D and 3D TLM one-section tube models. The frequency values of the first mistuned resonance peaks, obtained from these simulations, are substituted in the corresponding equations for the resonance frequencies in one-section tubes to find the apparent sound propagation speed in the mesh environment and, thus, the necessary compensation. The new factors have been tested in more complex models like a two-tube concatenation model and a realistic magnetic resonance imaging (MRI)-reconstructed human vocal tract (VT) model. Important VT modeling results confirm the improvement over the conventional compensation factors, particularly for frequencies above 4 kHz. Among these results are the identification of the spectral trough at about 5200 Hz caused by the piriform fossa and the application of a pitch extraction algorithm to the 3D TLM output signal, finding a difference smaller than 0.66% relatively to human voice pitch.

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