TM vs MT vs MTM vs TMM vs MMT

jewilson said:
Peter,

While no filter is perfect the Bessel has the most going for it in many different audio application. Having said that, there are times when the responce of the bessel might not quite meet an application ie. sub woofers, notch filters.

Characteristic of Bessel filters that makes them valuable to impluse responce. Very few filters are designed with square waves in mind. Most of the time, the signals filtered are sine waves, or close enough that the effect of harmonics can be ignored. If a waveform with high harmonic content is filtered, such as a square wave, the harmonics can be delayed with respect to the fundamental frequency if a Butterworth or Chebyshev response is used.

This means that a square wave is an infinite series of odd harmonics, or sinewaves, summed together to create the square shape. Obviously, if a square wave is to be transmitted without distortion, all of the harmonics - out to infinity - must be transmitted. This means that the square wave can be high pass filtered without distortion, if the 3 dB point of the filter is significantly lower than the fundamental. If the square wave is low pass filtered, however, the situation changes dramatically. Harmonics will be eliminated, producing distortion in the square wave.

The Bessel crossover designed as described above is not radically different from other common types, particularly compared to the Linkwitz-Riley. It does not maintain linear phase response at higher frequencies, but has the most linear phase. Along with fairly good magnitude flatness and minimal lobing for the even orders. It is one good choice when the drivers used have a wide enough range to support the wider crossover region, and when good transient behaviour is desired.


References
http://www.rane.com/note147.html

🙂

and what about 1st order filters?
not bessel (they are butterwotrh) and have a good phase and impulse response
 
yeah but its still the same: one disadvantage brings up another advantage.
If you want 2-way 1st order without vertical dispersion irregularities you'll almost need to make use of coaxial designs (with the small choice in drivertypes and doppler/modulation distortion etc. all of that). It would probably work nice with very long vert. ribbons placed very close to each other. (bass speaker array next to long ribbon etc)

It is certailny nice the advantage of the 1st order but the overlap-band is huge, and drivers need to be much more broadband. Very little phase-rotation but also not a lot of filtering. And the distance between the drivers play a bigger role in the vertical behaviour, compared with higher orders.
Steeper filtering (with the disadvantage of phase steps) has also a lot of pro's, because the problem-area can be made smaller and maybe less audible.... Btw is there anyone who has heard such a phasestep in a proper configured design (not in a misaligned config orso) I don't know. If I configure filters I always end up with something inbetween the both, giving best results.
I quite much agree with jewilson.
 
Bricolo

You will have to come to Texas to see them. Here is the last pair I built. New ones or in the works.🙂

Let see your.😉
 

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jewislon,

I know about basic filter theory but since there are a number of solutions that gives perfect or almost perfect phase response (perfect time domain behaviour) I was surprised to read what you wrote.

I guess it would be correct to say someting like "of the most commopnly used high order filters, the bessel has best phase response.." or something like that.

1st butterworth pass squarewaves as far as I know. Then there are other alternatives as filler driver (originally B&O I believe) and various subtractive delay networks and so on..

Maybe you are aware of John K´s work on transient perfect x-over networks?

/Peter
 
SF speakers is nice but those I´ve heard can be bettered on many parameters... it´s a matter of taste in the end of course.
Due to the design they are very costly for what you get in sound though.

I know of no SF speaker that is transient perfect and I have yet to se a SF or Dynaudio speaker that is "TP".

Using a cap (or a sinecap filter) to the tweeter and a coil to the midbass does not normally result in TP even if it has a flat Fr. response. Possibly Dynaudio has true 6dB/oct slopes, but seem to revers the polarity on some of the drivers making them fail the squarewave test.

/Peter
 
On the "Cookbook"- and some philosophy

I believe the original call was for topologies, and questions for books about loudspeakers...
Vance Dickasons Cookbok is exactly what it claims to be;- a cookbook. It contains a lot of information for people to get started with loudspeaker construction and building,- as pr. "cookbook " principles. It does help to know some electronics , and even better some physics as well. In Addition it gives several sets of "ready-to -use" formulaes for getting started with a very interesting pastime occupation.. for those so inclined 😉

The cookbook must not be looked upon as "The Holy Book" of loudspeakers, and I don't think Mr. Dickason has implied so either. Getting deeper and more seriously into loudspeaker theory, is rather like digging for pyramids,- the more you find, the more you realize the size of what has not yet been unveiled......

The physical implication and understanding of the loudspeaker as a whole, with each operating element being what it really is,- an electro-mechanical resonance system, with all parts electrically equivalently presenting themselves as a complex circuit of inductances, capacitances and resitances, gives just the first clues as to what we are up against.......
The problem with any loudspeaker, unless we manage to produce full short curcuits somewhere, is that no matter how false we thread, - there will always be sound, - and invariably we will perceive it a product of our strong efforts, each of us with our personal bias, be it in one direction or the other😀

The "Cookbook " is truly a piece of great work, but I am sorry to say,- it's just the beginning!:bawling:
If you really want to get to grips of what's going on- get your math and physics hat on, and start reading- it will truly be a long journey! This said, it is absolutely not to frighten anyone from having great fun as we go along!

Basic litterature; Leo Beranek- Acoustics The mother-of-all book in the Acoustics field
Harry F. Olsson - Musical Engineering. Both books from the 50-s but available second hand ( Amazon ?)
Martin Colloms- High performance loudspeakers ( still in print, - new edition out). don't be afraid of the long s's.....( integral math 😉 )

Good luck and have fun......
( I've had for 35 years, and there are still times I wonder if I realy understand a sh*t!??)🙂
 
oops could have thought of that myself..... 🙂
Well active there is, passive not really, but almost.

And I think if you use a not too big ribbon that still goes quite low , (so more of a mid/high unit from 800hz/1khz and up, like the SA ribbon) it is probably possible to get close with a first order passive filter.
 
dokter dB said:
oops could have thought of that myself..... 🙂
Well active there is, passive not really, but almost.

And I think if you use a not too big ribbon that still goes quite low , (so more of a mid/high unit from 800hz/1khz and up, like the SA ribbon) it is probably possible to get close with a first order passive filter.


Can you explain the "almost" solution? 😉

I was more about to use a 1" dome tweeter, but a ribbon isn't excluded
 
Bricolo said:



Can you explain the "almost" solution? 😉

I was more about to use a 1" dome tweeter, but a ribbon isn't excluded

Well it is impossible to cross passive, without phase-rotation.
There are passive solutions to compensate a bit with phase-circuits (drivers in a H-network etc).
Maybe someone else has good experiences with that, I never went that way, because I felt I'd never get it really right in terms of efficiency and complexity.

But the closer the drivers are together physically, and the lower you can cross, the broader the vertical lobe will be (directivity of the drivers itself excluded off course). Keep in mind that a too broad lobe can be unwanted because of floor/ceiling reflections, but in MT you can't really do a lot about that, other than with the baffle shape.

The less steep you cross (the less phase-difference between the two drivers you add), the less irregularities in the vertical dispersion-pattern around the crosspoint (vertical dispersion stays more uniform, even around the crosspoint). Unfortunately the drivers need to be closer in 1st order compared with higher order filters, because above the cosspoint there is a bigger frequency part where both drivers work together.

So if you have this goal then you can go for a ribbon that will perform quite low, and is able to cross 1st order 1.5 kHz orso (can be a problem to find one, excursion limits may still be reached too fast under 1.5 k). One disadvantage of the bigger ribbons is that the high frequency vert. dispersion pattern is getting very small (a function of ribbonheight and frequency). The only way to overcome that is with an acoustic lens/horn.

hmm... anyone else/vision?
 
Answer - Coax!

Fullrange
=========
Advantages - Point Source, Symmetrical Polar response without or with only minimal lobing, invariably fairly even off axis response.

Disadvantages - Non really

(except not easy to make a good one covering a wide bandwidth, possibly limited maximum SPL due to doppler modulation at very high SPL level with loads of bass, but again can be addressed by design and hence invariably expensive)

Coax
====
Advantages - Point Source, Symmetrical Polar response without or with only minimal lobing, invariably even off axis response.

Disadvantages - timealignment needs to be done by driver manufacturer or in the (active, digital or passive) X-Over

Semi-Coax
========
Advantages - Near Point Source, reasonably symmetrical polar response without or with only minimal lobing, fairly even off axis response.

Disadvantages - timealignment needs to be done in the (active, digital or passive) X-Over

TM - MT
========
Advantages - Non whatsoever apart from the possibility for mechanical timealignment, however the lobing structure is still comparably simple, compared to other options

Disadvantages - Asymetric Polar pattern (often strongly so) and problems integrating drivers.

Choices/Implications - with MT arrangement the first main lobe is reflected by the floor, which MAY be sound absorbing, with TM (tweeter on top) the first main lobe is beamed to thge ceiling where it will have a much longer arrival time to the listening position, which may or may not improve subjective Image hight and/or spatiality.

MTM
======

Advantages - Non whatsoever, except, the very ragged and messy vertical polar pattern is symmetrical which is VERY dubious as "advantage".

Disadvantages - Extremely messy Polar pattern, strong first main lobes pointing both towards the floor and ceiling can really mess up imaging etc., lobes created by both the two M Driver and each of these with the T Driver.

TMM - MMT
========
Advantages - Non whatsoever

Disadvantages - Extremely messy and asymetric Polar pattern and severe problems integrating and timealigning drivers.

Choices/Implications - with MMT arrangement the first several main lobes are reflected by the floor, which MAY be sound absorbing, with TM (tweeter on top) the first several main lobes are beamed to the ceiling where they will have a much longer arrival time to the listening position, which may or may not improve subjective Image hight and/or spatiality.

Best application would be using the second (M) as Woofer to help at lower end of the spectrum, so (T)(MW)(W) would be my best guess here using a dedicated woofer probably of slightly larger diameter.

Sayonara

(trollish?) ANSWER -- stop being an "audiophile" -- also TM(W)

Fullrange
=========
Advantages - It's easy

Disadvantages - Desperation isn't good to write the least. Bad at all frequency reproduction. Not great at highs, mids or lows.

Coax
====
Advantages - Makes some nice graphs to impress you're friends (if you weren't an "audiophile", you would have these).

Disadvantages - Have to combine drivers into one. It's hard making 1 great driver. Tweeters often horn loaded into cone, shape is not good.


TM - MT
========
Advantages - You choose what you like. People notice VASTLY different things in audio, visual, taste, life. OFF-AXIS response; you can get up, other people (you're non-existent friends) can enjoy the sound also.

Disadvantages - Lobing, okay

FAST is a good choice; I don't like a lot of highs.
TMW is a better choice.

TMW is optimal design for most people.

Due to physics, highs are mostly done right, bass is not.

3-4" driver and 8-10" woofer is also a very good choice. Is that "fullrange"? 😆

Wait, no, actually I'm going to agree with COAX 🤣 but not for me 🤔
 
(trollish?) ANSWER -- stop being an "audiophile" -- also TM(W)

Fullrange
=========
Advantages - It's easy

Disadvantages - Desperation isn't good to write the least. Bad at all frequency reproduction. Not great at highs, mids or lows.

Coax
====
Advantages - Makes some nice graphs to impress you're friends (if you weren't an "audiophile", you would have these).

Disadvantages - Have to combine drivers into one. It's hard making 1 great driver. Tweeters often horn loaded into cone, shape is not good.


TM - MT
========
Advantages - You choose what you like. People notice VASTLY different things in audio, visual, taste, life. OFF-AXIS response; you can get up, other people (you're non-existent friends) can enjoy the sound also.

Disadvantages - Lobing, okay

FAST is a good choice; I don't like a lot of highs.
TMW is a better choice.

TMW is optimal design for most people.

Due to physics, highs are mostly done right, bass is not.

3-4" driver and 8-10" woofer is also a very good choice. Is that "fullrange"? 😆

Wait, no, actually I'm going to agree with COAX 🤣 but not for me 🤔
+1 for a FAST or WAW (Woofer Assisted Wideband) works for me. Similar xover freq as a three way Woofer to Mid i.e. lower xover freq mitigates some of the problems mentioned previously.
See https://www.diyaudio.com/community/threads/10f-8424-rs225-8-fast-waw-ref-monitor.273524/
for a FAST with 1st order xover.
Also what should be mentioned is a tweeter in a waveguide. Narrows the off axis response in the lower treble to 'match' the woofer. Does some time alignment also as the tweeter is further back and increases output at the lower end therefore reduces distortion and allows a lower xover freq.
See https://www.diyaudio.com/community/threads/the-elsinore-project-thread.97043/ for a waveguided tweeter and 1st order xover.