Lossless Scattering

Digital Waveguide Networks

For ideal numerical scaling in the sense, we may choose to propagate
*normalized waves* which lead to normalized scattering junctions
analogous to those encountered in normalized ladder filters [13].
Normalized waves may be either normalized pressure
or normalized velocity
. Since the signal power associated with a traveling
wave is simply
,
they may also be called *root-power waves* [27].

The scattering matrix for normalized pressure waves is given by

The normalized scattering matrix can be expressed as a Householder reflection

Complexity

Lossless Scattering

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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