Sampo, it is not the poles and zeros that alternate on the real line but
the poles of the two all-pass filter paths. The 90 deg phase difference
band is almost from 0 to Nyquist. In my filter pair they are from 0.001 pi
to 0.999 pi. On z-plane those corner frequencies are at (0.999995, 0.003)
and (-0.999995, 0.003) so any elliptic or similar function would connect
the two corner frequencies roughly via the real line.

-olli

On Thu, Feb 9, 2017 at 2:57 PM, Sampo Syreeni <de...@iki.fi> wrote:

>
> As I said above, I'm questioning Olli's analysis from a highly
> intuitionistic viewpoint. Typically I'd then be wrong, while Olli does his
> math and can show me to be so. But still, I have to ask. :)
>
> --
> Sampo Syreeni, aka decoy - de...@iki.fi, http://decoy.iki.fi/front
> +358-40-3255353, 025E D175 ABE5 027C 9494 EEB0 E090 8BA9 0509 85C2
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