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> It looks to me as though the Linkwitz-Riley filter uses cascaded
> standard Butterworth filters where as the paper Alex referenced uses
> modified Butterworth filters (for critical damping). The Linkwitz-Riley
> filter is not critically damped and has overshoot.
>
> The filter seems to be better than the Ehlers filter I referred to
> earlier. See picture.
With the caveat that the critically damped filter blows up for values of
length less than 3.11.
I'm writing to the authors of the paper I where I found that filter to see
if they have any explanation, or have come up with a fix.
-Alex
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