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The Lossy 2D Mesh
Because the finite-difference form of the digital waveguide mesh is
the more efficient computationally than explicitly computing
scattering wave variables (too see this, count the multiplies required
per node), it is of interest to consider the finite-difference form
also in the case of frequency-dependent losses. The method of
§C.5.5 extends also to the waveguide mesh, which can be shown
by generalizing the results of §C.14.4 above using the technique
of §C.5.5.
The basic idea is once again that wave propagation during one sampling
interval (in time) is associated with linear filtering by
.
That is,
is regarded as the per-sample wave propagation filter.
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