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 to model frequency-dependent loss.

Figure 4: A very simple model of a rigidly terminated string.
\begin{figure}\centerline{\scalebox{1}{%
\input{kspluck.pstex_t}}}\end{figure}

All losses have been lumped to a single observation point in the delay line, and approximated with our first-order simple low-pass filter

$\displaystyle y(n) = x(n) + x(n-1)
$

Different sounds can be created by changing this filter.

The Karplus-Strong Algorithm may be interpreted as a feedback comb filter (with lowpassed feedback) or a simplified digital waveguide model.

How do you pluck the string? (noise burst.)


``Music 171: Introduction to Delay and Filters'' by Tamara Smyth, Computing Science, Simon Fraser University.
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Copyright © 2019-11-21 by Tamara Smyth.
Please email errata, comments, and suggestions to Tamara Smyth<trsmyth@ucsd.edu>