Minimum phase and EQ filters

Marzolino

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Hi, I introduce myself in advance like an old enthusiast of REW, thanks to it and to John Mulcahy I've achieved a good room equalization and improved the pleasure in listening music, anyway I don't stop searching and testing moreover.
So, in the REW tutorial I read that EQ filters effectiveness, in order to modify the frequency response, is good only on that system condition defined as “Minimum Phase”, corresponding to definite frequency range(s).
The EQ filters into a minimum phase range are effective to modify the frequency response, the filters out of that range are not effective, or not reliable.

To simplify let me call that restriction as “effective range rule”.

We learn also that the effective range is displayed on the Excess Group Delay plot like a flat line.
Well, I've taken many measurements with the “Measure” standard REW procedure, then calculated the EQ filters and, for a sample of these measurements, generated the Minimum Phase and Excess Group Delay, just to check if filters drop onto the “effective range”.
The attached files show, from a single measurement taken in flat, without EQ: the SPL graph, the set of filters calculated over that measurement by REW EQ and the Excess Group delay generated by REW.
I was very happy to see, looking at the Excess Group Delay graph, that 9 of 12 filters generated drop onto the “effective range”, that is a confirmation of the REW EQ good working, but 3 of 12 filters, over not deep low frequencies (172.2 Hz, 272.9 Hz, 320.6 Hz) drop into a not “effective range”, where the Excess Group Delay plot is irregular, not a flat line.
I must say that other measurements taken in the same condition, not reported here, produced similar results.

Now, for me, these questions stay open:

Must I consider these 3 filters less regular and not reliable?
Is the “effective range rule” valid only for the very low frequencies and, if yes, which frequency could we consider as a limit?
If does that limit frequency exist could we, over that frequency, use filters without care of the minimum phase and of the “effective range rule”?

Thank you for your attention !
 

Attachments

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  • B-210518 APDX Mic CD Filtri.txt
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  • C-210518 APDX Mic CD Exc_Gr_Delay.jpg
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John Mulcahy

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So, in the REW tutorial I read that EQ filters effectiveness, in order to modify the frequency response, is good only on that system condition defined as “Minimum Phase”, corresponding to definite frequency range(s).
The EQ filters into a minimum phase range are effective to modify the frequency response, the filters out of that range are not effective, or not reliable.
That isn't really what the minimum phase article says. Here are a couple of relevant sections:

Minimum phase systems can be inverted, which means that a filter can be designed that, if applied to the system, would produce a flat response and correct the phase response at the same time. That is clearly a nice property to find if we want to apply EQ. If we apply EQ to a system that is not minimum phase, or more particularly in a region where it is not minimum phase, the EQ will not produce the results we would like. It may still be possible to achieve a flat response, but correcting the phase response would elude us. It is simply not possible.

Regions where the response is far from minimum phase would typically not give the results we might expect and they are best left alone from an EQ perspective. Non-minimum phase regions are also likely to show greater variation with position and to be more affected by changes within the room, as a change that affects any of the signals that sum to the response in the minimum phase region can greatly alter the behaviour there.


The Predicted result in the EQ window is the result that will be obtained at the point the measurement was made, so the filters will have the effect on the frequency response magnitude that is shown on the graph. However, the phase disturbances that make regions non-minimum phase can't be fixed by parametric EQ, so although the magnitude will be right the phase won't and that may mean things don't sound as expected. The response, and so the effect of the filters, in non-minimum phase regions is also likely to be quite different at other measurement positions. The ways to deal with that are to measure at other positions (even near the original if you are really only concerned with one seating position) to check the behaviour there and don't try and tackle sharp dips, which will be areas that also appear as far from minimum phase on the excess group delay plot, but REW ignores them anyway so automatically generated filters will not try and do anything foolish in those regions.
 

Marzolino

New Member
Thread Starter
Joined
Mar 16, 2018
Messages
15
Location
Italy
More  
Preamp, Processor or Receiver
Passive Line Level crossover with Vol and Bal cont
Main Amp
Adcom GFA 545 for woofers
Additional Amp
NAD 2140 for midrange
Other Amp
NAD 3120 for tweeters
Universal / Blu-ray / CD Player
Cocktail Audio X35 Music Server
Front Speakers
AR 3A Improved multi amp connected (NO int. xover)
Other Equipment
Beheringer DEQ 2496 Equalizer
That isn't really what the minimum phase article says. Here are a couple of relevant sections:
Hi John, I read again that part of the manual and have found no disagreement with my post.

I can't see the mistake, maybe something is out of my understanding, I would only know how consider the filters, generated by REW, that drop out of the minimum phase region in the Excess Group Delay plot.Will they be effective, at least in the same position where the measure was taken?

Anyway it's not a big problem, just a study curiosity, at the bottom line I'm happy for EQ and my system is well sounding.

Tank you
 
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