A very simple string model

A very simple string model can be implemented using a single delay line and our simple first-order low pass filter $ H(z)$ to model frequency-dependent loss.

Figure 14: A very simple model of a rigidly terminated string.
\begin{figure}\centerline{\scalebox{1}{%
\input{kspluck.pstex_t}}}\end{figure}

Though losses are distributed along the length of the string, in an LTI system they may be lumped to a single observation point and approximated with $ H(z)$.

Different quality string sounds can be created by changing this filter.

This model may be interpreted as a feedback comb filter with lowpassed feedback or a simplified digital waveguide model.

How is this model excited? How is the string plucked?


``Music 206: Introduction to Delay and Filters II'' by Tamara Smyth, Computing Science, Simon Fraser University.
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Copyright © 2019-04-18 by Tamara Smyth.
Please email errata, comments, and suggestions to Tamara Smyth<trsmyth@ucsd.edu>