General Modeling Procedure

While each situation tends to have special opportunities, the following procedure generally works well:

  1. Formulate a state-space model.
  2. If it is nonlinear, use numerical time-integration: There are many other descriptions of nonlinear systems to consider, some of which will be noted as we proceed.
  3. In the linear case, diagonalize the state-space model to obtain the modal representation.

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A Simplified Starting Theory
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Digital Waveguide Modeling Elements