I guess if one (like me) uses linear phase crossover then this is a non-issue, isn't it?
Another question: if we use minimum phase, symmetrical 24dB/octave Linkwitz-Riley crossover, then shouldn't phase be kind of linearized by definition? (at least in the crossover region)
It would be great to shed some light on the details of this topic
Thank you
Linear phase XO's do not introduce any ADDITIONAL phase rotation. It is important to remember that drivers themselves are minimum phase, meaning they will rotate phase at the extremes of their bandpass. It is possible to compensate for this phase rotation with a linear phase XO, e.g. the new version of Acourate has a feature that allows you to do just that.
Re your second question I am not sure what you are asking. The final phase rotation is a convolution of the electrical XO AND the driver's own amplitude and phase response. So ... if you take (say) a 24dB/oct LR XO with a corner frequency of 100Hz, and you use (say) a driver which has a LF roll off starting at 100dB of 6dB/oct; the result is a 30dB/oct slope.
Each order of filter, or pole, rotates phase by 90deg. So although a 4th order LR has 360deg phase rotation (meaning it sums to flat at the XO point), a 5th order has a 450deg phase rotation meaning it does not sum to flat. Furthermore the subwoofer is rolling phase at its own rate so it is highly unlikely you will get a symmetrical XO.
I have run some sims to show you.
Here we have a LR4 LPF (red) and LR4 HPF (green) with a corner freq of 100Hz. They LPF and HPF sum to flat (pink).
Now I have created a driver with a LF roll off which I have simulated with a 1st order Butterworth filter with a corner freq of 100Hz (brown). If we convolve it with the LR4 HPF (green), the result is blue.
Because of the additional phase rotation caused by the driver, the LPF and HPF no longer sum to flat.
I have also the software Acourate Pro which generates high quality FIR filters, however, relies on single point MLP measurement which I do not prefer.
Acourate does not force you into one way of working if you don't want to. You could use 5 measurements, 10 measurements, or an MMM as the basis of your correction. I wrote a
free Acourate guide that should tell you how to use alternative measurement techniques as the basis for your correction. You will still need one measurement from MLP as the basis for all your timing measurements, but you can make amplitude adjustments using almost any technique that you want. As the
Pure Acourate Sound project shows, you could even use a Klippel measurement as the basis for your corrections. I don't think any other software package on the market is as flexible.