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Applying the bilinear transformation (§7.3.2) to the reflectance
in Eq.(9.23) (including damping) yields the
following first-order digital force-reflectance filter:
where
![$\displaystyle p$](img2252.png) |
![$\displaystyle =$](img241.png) |
(digital pole)![$\displaystyle \protect$](img2254.png) |
(10.27) |
![$\displaystyle \zeta$](img2255.png) |
![$\displaystyle =$](img241.png) |
(digital zero)![$\displaystyle \protect$](img2254.png) |
(10.28) |
![$\displaystyle g$](img2257.png) |
![$\displaystyle =$](img241.png) |
(gain term)![$\displaystyle \protect$](img2254.png) |
(10.29) |
The transmittance filter is again
, and there is a
one-filter form for the scattering junction as usual.
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