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- Backward Euler (BE) is still sometimes needed:
- Damps out unwanted high-frequency oscillations (warped)
- Avoids oscillations at half the sampling rate from a real exponential
- TR warps high-frequency poles toward half the sampling rate:
toward
- BE warps high-frequency poles toward
so it
never introduces alternating-sign oscillations:
- Alternating-sign oscillations due to BLT can be problematic in
nonlinear circuits such as those containing diodes (see Kurt Werner
thesis for a real-world example)
- Recall also that Forward Euler (FE) can break a
delay-free loop, and pairs well with BE in series
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Download DigitizingNewton.pdf
Download DigitizingNewton_2up.pdf
Download DigitizingNewton_4up.pdf