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  • $\begingroup$ I guess this is going to be about the Hilbert transform relationship between log magnitude and phase of a minimum phase system ...? $\endgroup$ Commented Mar 22, 2017 at 7:33
  • $\begingroup$ i'm getting there, @MattL. it's going to be about reconciling the two different definitions of a minimum-phase filter. and we hadn't yet gotten to the second definition (that you allude to). $\endgroup$ Commented Mar 22, 2017 at 23:38
  • $\begingroup$ Wow @robertbristow-johnson! That last line and equation may be good to post in the mathematics site as well (with no need of the background there I don't think, only the definition of $\mathscr{H}$) $\endgroup$ Commented Mar 23, 2017 at 3:11
  • $\begingroup$ something like that is my plan, @DanBoschen . just want to throw it out here first. maybe let Olli or MattL. take a whack at it. (i have an approach, and it is showing the derivatives of the two functions make a Hilbert pair.) $\endgroup$ Commented Mar 23, 2017 at 3:28
  • $\begingroup$ so @DanBoschen, i have done exactly as you suggested. $\endgroup$ Commented Mar 23, 2017 at 5:51