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A class of bilinear transforms map the entire axis in
the plane exactly once to the unit circle in the plane:
- dc () maps to dc () as for the FDA
- infinite frequency () maps to half the sampling rate () instead of for the FDA
- damping characteristics are better preserved
- no aliasing (mapping is one-to-one)
- frequency axis remains warped away from dc
The real constant allows one nonzero frequency (at
) to map exactly to any desired digital frequency (at
). All other frequencies are
warped:
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Download SMAC03S.pdf
Download SMAC03S_2up.pdf