- The one-sided Laplace transform of a signal
is defined by
where
is real and
is a complex variable.
- The differentiation theorem for Laplace transforms states that
where
is any differentiable function that approaches zero as
goes to infinity.
- The transfer function of an ideal differentiator is
,
which can be viewed as the Laplace transform of the operator
.
- Taking the Laplace Transform of the valve displacement, we have
``MUS 206: Modeling Acoustic Tubes and Wind Instrument Bores/Bells''
by Tamara Smyth,
Department of Music, University of California, San Diego (UCSD).
Download PDF version (wind.pdf)
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Copyright © 2019-05-22 by Tamara Smyth.
Please email errata, comments, and suggestions to Tamara Smyth<trsmyth@ucsd.edu>