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Wave Digital Mass-Spring Oscillator

\begin{figure}\centering \input fig/tankwdf.pstex_t \\ \end{figure}

Convert force waves to root-power waves:

\begin{eqnarray*} \tilde{f}^{+}_i&\isdef & \frac{f^{{+}}_i}{\sqrt{R_i}} \\ [1em] \tilde{v}^{+}_i &\isdef & v^{+}_i \cdot \sqrt{R_i} \end{eqnarray*}

where $ R_i= $ wave impedance in waveguide $ i$.

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Download SMAC03S.pdf
Download SMAC03S_2up.pdf
``Recent Developments in Musical Sound Synthesis Based on a Physical Model'', by Julius O. Smith III, (Stockholm Musical Acoustics Conference (SMAC-03), August 6--9, 2003).
Copyright © 2006-02-19 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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