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Let
denote the driving-point impedance of an arbitrary
continuous-time LTI system. Then, by definition,
where
and
denote the Laplace transforms
of the applied force and resulting velocity, respectively.
The wave variable decomposition in Eq.(C.74) gives
We may call
the reflectance of impedance
relative
to
. For example, if a transmission line with characteristic
impedance
were terminated in a lumped impedance
, the
reflection transfer function at the termination, as seen from the end
of the transmission line, would be
.
We are working with reflectance for force waves.
Using the elementary relations Eq.(C.73), i.e.,
and
, we immediately obtain the corresponding
velocity-wave reflectance:
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