Digital Waveguide Networks

Digital Waveguide Networks

The delay-line inputs (outgoing traveling waves) are computed by
multiplying the delay-line outputs (incoming traveling waves) by the
-by- feedback matrix (scattering matrix)
. By defining
,
, we obtain the more usual DWN notation

The junction of physical waveguides determines the structure of the matrix according to the basic principles of physics.

Considering the parallel junction of lossless acoustic tubes, each
having characteristic admittance , the continuity of pressure and
conservation of volume velocity at the junction give us the following
scattering matrix for the pressure waves [28]:

(24) |

Normalized Scattering

Digital Waveguide Networks

Digital Waveguide Networks

``Circulant and Elliptic Feedback Delay Networks for Artificial Reverberation'', by Davide Rocchesso and Julius O. Smith III, preprint of version in

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