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The
transform of the trapezoid rule yields
Since
, the
to
mapping has become
which is of course the standard bilinear transform:
-
axis maps to the
unit circle where it belongs
- dc maps to dc
- Infinite frequency maps to half the sampling rate
- Frequency axis is warped, especially at high frequencies
- Stability preserved precisely
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Download DigitizingNewton.pdf
Download DigitizingNewton_2up.pdf
Download DigitizingNewton_4up.pdf