Well, no.
Here is frequency response (black) and phase (red) of 8 Hz first order shelving filter:
View attachment 553366
And here is frequency response (black) and phase (red) of integrator:
View attachment 553368
Thanks for posting this followup.
First graph above is surely a first-order low shelf.
2nd graph, supposedly showing a straight line downward sloping magnitude response of the filter, and a constant flat phase of -90 degrees,
is an impossible analog filter for all I've ever understood.
Doesn't matter how implemented in the analog/minimum-phase world, non-level or bandwidth limited response cannot have flat minimum phase.
Any more material other the the wiki link? It's over my head math/terminology wise.
The sum of the integrator (two very shelf like filters if not plain shelves), along with a sealed subs natural 2nd order roll-off, should indeed give flat mag and phase (if properly executed.)
No disagreement there. But that necessitates the integrator NOT be flat mag and phase; it necessitates the integrator be a minimum-phase filter that has the inverse magnitude roll-oof or the sealed sub.
And I'll contend again...all that mag and phase flattening is fine until excursion is needed beyond the driver's capability, and then dynamic limiting kicks in.
Yes, that is the whole point of patenting - to be the first.
Like the famous example of Alexander Graham Bell and Elisha Gray.
Here is frequency response (black) and phase (red) of 8 Hz low-pass filter:
View attachment 553374
Compare it to the above integrator.
What order is that low pass? And to what/how is applied? In series with the boost filters I assume (be they integrators of shelves)
Here is a link for explanation about integrator:
https://en.wikipedia.org/wiki/Op_amp_integrator
Because sealed box has 12dB/octave slope, two integrators are required. And some high-pass filtering at 8 Hz, or so.
High-pass now? Like I've been saying? Hope so, cause I can't see any rational for a 8Hz low pass..