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why does an eq cause phase shift?
William Sommerwerck wrote:
Yes, I'm aware of the mathematical definition of minimum phase but haven't seen where it defines what is minimized in a mathematical so as to give it the name. All roots being inside the unit circle may minimize the radius of the locus enclosing them I don't think that is what minimum refers to. Minimum simply means that any other network with the same frequency response would have the same or greater phase shift. That's all. And at all frequencies, eh? I guess that's simple enough. I'm ashamed it's the first time I've seen it stated so simply. Maybe because it's too obvious to state and I was looking instead for something too subtle. :-) Now I just have to satisfy myself that reflecting any zero from inside to outside the unit circle (which preserves the magnitude response) will cause only an increase in the amount of phase shift at any point around the unit circle. Not at all clear at this point. long pause Well, I did that via the kind tutelege of the folks in comp.dsp, which is why this post sat so long in my "drafts" folder. :-) Thanks, Bob -- "Things should be described as simply as possible, but no simpler." A. Einstein |
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