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Preamp low pass filter
In message , Old Fart at Play
writes You can keep the low-pass and high-pass outputs in phase with a 4th-order filter. Not without an additional all-pass filter you can't. And with an added all-pass you can make a second order crossover have no phase difference between the LP and HP sections if you want. -- Chris Morriss |
Preamp low pass filter
In article , Chris Morriss
wrote: In message , Old Fart at Play writes You can keep the low-pass and high-pass outputs in phase with a 4th-order filter. Not without an additional all-pass filter you can't. And with an added all-pass you can make a second order crossover have no phase difference between the LP and HP sections if you want. However you may not actually want that. :-) Personally, for active filtering, I'd tend to prefer using a LPF, then creating a HPF output by subtracting the LPF output from the input. The result if you keep the levels matched is a LP and HP pair of signals whose vector sum always equals the input. Thus the combined result shows no phase errors due to the filtering. For the actual filters I tend to lift the basic designs from the Active Filter Cookbook by Don Lancaster. Slainte, Jim -- Electronics http://www.st-and.ac.uk/~www_pa/Scot...o/electron.htm Audio Misc http://www.st-and.demon.co.uk/AudioMisc/index.html Armstrong Audio http://www.st-and.demon.co.uk/Audio/armstrong.html Barbirolli Soc. http://www.st-and.demon.co.uk/JBSoc/JBSoc.html |
Preamp low pass filter
Chris Morriss wrote:
In message , Old Fart at Play writes You can keep the low-pass and high-pass outputs in phase with a 4th-order filter. Not without an additional all-pass filter you can't. And with an added all-pass you can make a second order crossover have no phase difference between the LP and HP sections if you want. Perhaps you would like to refer to the Loudspeaker Design Cookbook which has graphs of amplitude and phase for various filters including the fourth order Linkwitz-Riley filter. -- Roger. |
Preamp low pass filter
Old Fart at Play wrote:
Chris Morriss wrote: In message , Old Fart at Play writes You can keep the low-pass and high-pass outputs in phase with a 4th-order filter. Not without an additional all-pass filter you can't. And with an added all-pass you can make a second order crossover have no phase difference between the LP and HP sections if you want. Perhaps you would like to refer to the Loudspeaker Design Cookbook which has graphs of amplitude and phase for various filters including the fourth order Linkwitz-Riley filter. Remember that it's the acoustical 4th order Linkwitz-Riley that has the so-called zero phase difference, not some speaker implemented with 4th order crossovers. The acoustical 4th order is implemented with second-order crossovers. The other second-order filters are the roll-offs of the speakers themselves. |
Preamp low pass filter
In message , Old Fart at Play
writes Chris Morriss wrote: In message , Old Fart at Play writes You can keep the low-pass and high-pass outputs in phase with a 4th-order filter. Not without an additional all-pass filter you can't. And with an added all-pass you can make a second order crossover have no phase difference between the LP and HP sections if you want. Perhaps you would like to refer to the Loudspeaker Design Cookbook which has graphs of amplitude and phase for various filters including the fourth order Linkwitz-Riley filter. OK, I've looked at that, and it doesn't support what you say at all. I think you are getting confused between a crossover that keeps the outputs of all the sections in phase at all frequencies (which can only be done with even-ordered networks, and then only in conjunction with all-pass phase-correction networks) and the family of crossovers that attempt to sum to a flat frequency and phase response, even though the individual outputs have phase differences between them. (By the way, you can't get a passive filter to have LP and HP outputs in phase with each other at all frequencies, as it's not possible to produce the right sort of all-pass network with passive components.) You can of course make passive networks that have a summed flat magnitude and phase response, but this is a different thing entirely. Although all-pass phase corrected active crossovers can be made, they are not universally liked, as the extra group-delay added by the phase-compensating all-pass networks mean that the total variation in phase across the whole audio band can be very considerable. (Whether or not this is audible on music is debatable). -- Chris Morriss |
Preamp low pass filter
Jim Lesurf wrote:
Personally, for active filtering, I'd tend to prefer using a LPF, then creating a HPF output by subtracting the LPF output from the input. The result if you keep the levels matched is a LP and HP pair of signals whose vector sum always equals the input. Thus the combined result shows no phase errors due to the filtering. That's a neat trick. (Maybe tri-amping isn't such a bad idea...) For the actual filters I tend to lift the basic designs from the Active Filter Cookbook by Don Lancaster. taking notes -- Wally www.artbywally.com www.wally.myby.co.uk/music |
Preamp low pass filter
In message , Jim Lesurf
writes However you may not actually want that. :-) Personally, for active filtering, I'd tend to prefer using a LPF, then creating a HPF output by subtracting the LPF output from the input. The result if you keep the levels matched is a LP and HP pair of signals whose vector sum always equals the input. Thus the combined result shows no phase errors due to the filtering. For the actual filters I tend to lift the basic designs from the Active Oh yes, I quite agree, a complex phase-compensated crossover has only one advantage: it does help keep down vertical lobing problems. As Arnie has also said, it does also depend on the inherent amplitude and phase response of the drivers. I use constant-voltage subtraction crossovers, but without any phase compensation they do force one of the outputs to only roll off at 6db per octave. -- Chris Morriss |
Preamp low pass filter
Chris Morriss wrote:
In message , Old Fart at Play writes Chris Morriss wrote: In message , Old Fart at Play writes You can keep the low-pass and high-pass outputs in phase with a 4th-order filter. Not without an additional all-pass filter you can't. And with an added all-pass you can make a second order crossover have no phase difference between the LP and HP sections if you want. Perhaps you would like to refer to the Loudspeaker Design Cookbook which has graphs of amplitude and phase for various filters including the fourth order Linkwitz-Riley filter. OK, I've looked at that, and it doesn't support what you say at all. I think you are getting confused between a crossover that keeps the outputs of all the sections in phase at all frequencies (which can only be done with even-ordered networks, and then only in conjunction with all-pass phase-correction networks) and the family of crossovers that attempt to sum to a flat frequency and phase response, even though the individual outputs have phase differences between them. Have the laws of physics changed since my LDC4 was published? Section 7.21:Combined response of two-way crossovers "....exhibit a high-pass and low-pass phase relationship which is in-phase." Graphs 7.58 and 7.59 show what I mean. -- Roger. |
Preamp low pass filter
In message , Old Fart at Play
writes Chris Morriss wrote: In message , Old Fart at Play writes Chris Morriss wrote: In message , Old Fart at Play writes You can keep the low-pass and high-pass outputs in phase with a 4th-order filter. Not without an additional all-pass filter you can't. And with an added all-pass you can make a second order crossover have no phase difference between the LP and HP sections if you want. Perhaps you would like to refer to the Loudspeaker Design Cookbook which has graphs of amplitude and phase for various filters including the fourth order Linkwitz-Riley filter. OK, I've looked at that, and it doesn't support what you say at all. I think you are getting confused between a crossover that keeps the outputs of all the sections in phase at all frequencies (which can only be done with even-ordered networks, and then only in conjunction with all-pass phase-correction networks) and the family of crossovers that attempt to sum to a flat frequency and phase response, even though the individual outputs have phase differences between them. Have the laws of physics changed since my LDC4 was published? Section 7.21:Combined response of two-way crossovers "....exhibit a high-pass and low-pass phase relationship which is in-phase." Graphs 7.58 and 7.59 show what I mean. Ok, I can see where your confusion is coming from. No, the laws of physics haven't changed, but the LS cookbook doesn't make things clear. If you read on in the same section, you'll see that it says "the two sections sum together flat when the level of both filters is down 6dB at the crossover frequency". This is the crux of the issue. To get a flat amplitude response from an even order filter, the crossover frequency should be at the -6dB point, but to get the two outputs to be in-phase (actually 180 out of phase, but this is cured by turning the connections round on either the tweeter or the bass unit), the crossover frequency needs to be at the -3dB point. Here's an example. It's for a second order Butterworth. (And remember that a 4th order L_R is simply two identical 2nd order Butterworths in series) If the crossover is at the -3dB point, the phase is at 90 degrees at that point, and the HP and LP will be consistently 180 degrees out of phase, BUT the magnitude will sum to have a 3dB hump. If the crossover is at the 6dB point, the magnitude will sum to be flat, but as the phase shift at the -6dB point is 110 degrees (rather than 90) the phase shifts of the two outputs will not track. In reality a passive crossover is tweaked to give a compromise (and to allow for the amplitude/phase characteristics of the drivers...if you've got a competent design team that is. An active crossover can be made to have perfect phase tracking between the HP and LP outputs by judicious use of all-pass networks. (Though as Jim says, that may not be what you want for best fidelity) -- Chris Morriss |
Preamp low pass filter
Chris Morriss wrote:
In message , Old Fart at Play writes Chris Morriss wrote: In message , Old Fart at Play writes Chris Morriss wrote: In message , Old Fart at Play writes You can keep the low-pass and high-pass outputs in phase with a 4th-order filter. Not without an additional all-pass filter you can't. And with an added all-pass you can make a second order crossover have no phase difference between the LP and HP sections if you want. Perhaps you would like to refer to the Loudspeaker Design Cookbook which has graphs of amplitude and phase for various filters including the fourth order Linkwitz-Riley filter. OK, I've looked at that, and it doesn't support what you say at all. I think you are getting confused between a crossover that keeps the outputs of all the sections in phase at all frequencies (which can only be done with even-ordered networks, and then only in conjunction with all-pass phase-correction networks) and the family of crossovers that attempt to sum to a flat frequency and phase response, even though the individual outputs have phase differences between them. Have the laws of physics changed since my LDC4 was published? Section 7.21:Combined response of two-way crossovers "....exhibit a high-pass and low-pass phase relationship which is in-phase." Graphs 7.58 and 7.59 show what I mean. Ok, I can see where your confusion is coming from. No, the laws of physics haven't changed, but the LS cookbook doesn't make things clear. If you read on in the same section, you'll see that it says "the two sections sum together flat when the level of both filters is down 6dB at the crossover frequency". This is the crux of the issue. To get a flat amplitude response from an even order filter, the crossover frequency should be at the -6dB point, but to get the two outputs to be in-phase (actually 180 out of phase, but this is cured by turning the connections round on either the tweeter or the bass unit), the crossover frequency needs to be at the -3dB point. Here's an example. It's for a second order Butterworth. (And remember that a 4th order L_R is simply two identical 2nd order Butterworths in series) If the crossover is at the -3dB point, the phase is at 90 degrees at that point, and the HP and LP will be consistently 180 degrees out of phase, BUT the magnitude will sum to have a 3dB hump. If the crossover is at the 6dB point, the magnitude will sum to be flat, but as the phase shift at the -6dB point is 110 degrees (rather than 90) the phase shifts of the two outputs will not track. Chris, you are still confused but nearly there. As you say, a 4th order L-R is two 2nd order Butterworths. At the crossover frequency a B2 filter is -3dB and 90 degrees phase shift. Therefore the 4LR is -6dB and 180 degrees. The LP and HP outputs are in phase at all frequencies and the voltage sum is constant. HTH, Roger. |
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