On 2017-02-06, Eric Brombaugh wrote:
well, with a single sinusoid, there should be no intermodulation product
so the analytic envelope should be exactly correct. but consider:
[...]
I might be way off base here, but... As Olli said, both the poles and
the zeroes sorta "like to be" on the real line.
To me that is kind of a canary. Typically when something works on the
real line, it tends to work better when distributed over the unit
circle. Often even reflected over the unit point.
Olli, I *know* this is again highly intuitionistic. But could you still,
as the kind of guy who actually follows through with his math, check
this out? I am reasonably, intuitionistically sure, that you started
your optimization from a local basin. I'm pretty sure there is at least
one other basin even given your optimization criteria, given by
alternating zeroes and poles over the left half of the unit circle over
the z-plane, just as you said they worked alternately over the real
line. Or perchance over some elliptical locus.
Please, try that original setup as well. Then tell us what your
optimization machinery did with it. I'm reasonably sure it wouldn't
converge to what you originally had, even if it converged to *something*
good. :)
--
Sampo Syreeni, aka decoy - de...@iki.fi, http://decoy.iki.fi/front
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