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Modal Analysis of Muscle Dynamics: A Systematic Approach to Dimensionality Reduction for Biomechanical Models of Speech

 Gordon Ramsay
  
 

Abstract:

Speech production is often studied using biomechanical models of the vocal tract. Using a modal analysis procedure, it is shown that the dynamical degrees of freedom for any such model can be extracted by projecting the state trajectory at each point in time onto a local eigenmode basis. The resulting time-varying representation generalizes principal-component and linear-system models of articulatory dynamics, and the dimensionality of the system can be reduced appropriately by retaining only those eigenmodes that make a significant contribution to the overall movement. Simulation results are given to illustrate the procedure.

 
 


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