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- General, order , allpass filter:
- General order , monic, minimum-phase polynomial:
where
(roots inside unit circle)
- Numerator polynomial = reverse of denominator
- First-order case:
- Each pole gain-compensated by a zero at
- There are papers in the literature describing methods for
designing allpass filters
with a prescribed group delay (see reader for refs)
- For piano strings is on the order of
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