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Beta Parameters
It is customary in the wave digital filter literature to define the
beta parameters
as

(F.33) 
where
are the port impedances (attached element reference
impedances). In terms of the beta parameters, the forcewave series
adaptor performs the following computations:


(Common Junction Velocity) 
(F.34) 


(Outgoing Velocity Waves) 
(F.35) 
However, we normally employ a mixture of parallel and series adaptors,
while keeping a forcewave simulation. Since
, we obtain, after a small amount of algebra, the following
recipe for the series forcewave adaptor:


(Total Incoming Force) 
(F.36) 


(Outgoing Force Waves) 
(F.37) 
We see that we have
multiplies and
additions as in the
paralleladaptor case.
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