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RootPower Waves
It is sometimes helpful to normalize the wave variables so that
signal power is uniformly distributed numerically. This can be especially
helpful in fixedpoint implementations.
From (C.49), it is clear that power normalization is given by

(C.53) 
where we have dropped the common time argument `
' for simplicity.
As a result, we obtain
and
The normalized wave variables
and
behave physically like
force and velocity waves, respectively, but they are scaled such that
either can be squared to obtain instantaneous signal power. Waveguide
networks built using normalized waves have many desirable properties
[175,173,436]. One is the obvious numerical
advantage of uniformly distributing signal power across available dynamic
range in fixedpoint implementations. Another is that only in the
normalized case can the wave impedances be made time varying without modulating
signal power. In other words, use of normalized waves eliminates
``parametric amplification'' effects; signal power is decoupled from
parameter changes.
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