New Purifi Tweeter Data Sheet

In this case wiki, but you'll find this formula in EVERY other control theory book.

We're not looking at alpha, we are looking at the damping factor zeta = 1 / (2Q).
But if you really would like to know:
View attachment 1476303

Not really important, it's just a different way of notation. (i was to lazy to photoshop it away)

The damped resonance frequency will be slightly different compared to the natural frequency.
Keep in mind that this is the underdamped response aka: when a resonator is hit with a step or dirac pulse and decays naturally, instead being forced.
Still this correction term won't be that significant, with a Qm of 3 or so, it's about 1-2% different.

But yes you're correct that the natural resonance frequency is only being determined by the mass and stiffness/compliance, or L and C if you want to think in lumped equivalents.

It was being said that damping never has an influence, but it depends how you look at the problem is all I'm trying to say.
Maybe that's where people get the idea from that ferrofluid will affect the Fs???
I guess in theory one could even make an argument that it wil raise the Fs in some cases, since it blocks the VC cavity.
thanks, i think the penny dropped here😀. so we all agree the natural frequency is unaffected by damping. this is where we have the impedance peak. this peak get lower in magnitude and wider as we apply more damping.

the omega_d is the frequency of the oscillation of the impulse response h(t)=exp(p•t) where p is the complex pole. omega_d is the imaginary part of p whilst the real part is the decay rate. the modulus |p| is the natural frequency. The formula you showed is simply Pythagora’s applied to find omega_d from the natural frequency and damping. I was raised to think of poles and eigen values 😀

But yes, I never thought about that theactual damped oscillation frequency drops compared to the natural when we have damping😀
 
thanks, i think the penny dropped here😀. so we all agree the natural frequency is unaffected by damping. this is where we have the impedance peak. this peak get lower in magnitude and wider as we apply more damping.

the omega_d is the frequency of the oscillation of the impulse response h(t)=exp(p•t) where p is the complex pole. omega_d is the imaginary part of p whilst the real part is the decay rate. the modulus |p| is the natural frequency. The formula you showed is simply Pythagora’s applied to find omega_d from the natural frequency and damping. I was raised to think of poles and eigen values 😀

But yes, I never thought about that theactual damped oscillation frequency drops compared to the natural when we have damping😀
If you're in the luxury to be able to determine the natural oscillation frequency directly.

With quite some mechanical systems you don't have that luxury and you can only measure the underdamped response.
And although a few percent doesn't sound all that much, it can completely screw up your mechanical feedback system.

The issue with speaker drivers is that de stiffness is so damn non-linear, so we can't rely on those methods.
Which is also a good thing, otherwise you run to risk of sending almost any overhung system to its death very quickly.
 
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Agree.

I have a passion for methods for pole identification. A very non trivial problem - especially when it comes to speakers and acoustics. I do that on electrical impedance curves and identify motional/mechanical resoances.

By finding the decay rate and the damped oscillation frequency we directly get the natural frequency
 
I would never use this one for a passive design (no offense), however easy in a DSP-active chain (like most loudspeaker drivers) but then I'd rather go for planar and AMT with a ruler-flat impedance...
... because increasing impedance (due to attenuation without a proper L-Pad's parallel resistor) might also trick some tube amps, both conventional and OTL designs.
you can add a so-called conjugate network right at the input side of the xover filter and flatten the impedance. This will not ruin the disotriton reduction effect from having higher filter output impedance into the tweeter. This makes life easier for the amplifier (the ET amps dont care much about reactive loads though)
 
I've seen burst tests to capture thermal compression.... and you are right it seems to happen in a few milliseconds. Not sure how we could tell this from a tweeter's specs. For instance, if a tweeter is rated to 100W.... does that mean it won't compress at 10W?

For my needs, for instance, 20W in the tweeter would be very loud... but given how tweeters are measured I may not be able to ensure that in my listening range (1/2W - 10W) there won't be compression. A dilemma for sure. I can absolutely understand why the high efficiency, horn tweeter crowd crows about how much less compression they hear. When loud is 2W in a massive ventilated motor structure you may never ever hear any compression at all, horn artifacts be damned. 😊
 
Impressive looking specs and great to see such a simple crossover used for great rsults.

Maybe I missed it but my pet driver and speaker measurement is dynamic range/comprssion. Measuring the output at 2.83V and 10 dB louder. To me it's the most important measurement after the FR.

I second your comment about the impressive specs and clean crossover!

My most important spec after FR (phase included), is also dynamic range/uncompressed SPL.


I'm afraid I don't have the experience or education to know WHY these charts showed non-linear behavior (the addition of 20dB of voltage was not always equal to a 20dB rise in amplitude) or whether it is true that this can all be attributed to thermal compression or mechanical limits. I know talking to others in here always results in me talking to a wall about non-thermal compression, so it may be that if I had a chance to study this more in college I'd know why. And I must admit the burst and highly controlled tests that demonstrate compression in real time are fascinating... yet still I do not know that all compression is thermal and in my humble opinion the basic compression testing should be looked at more for better explaining listener experience than we give it credit for.

I've tested this a bit, and the only way I've found I have confidence in, is to use short term bursts, comparing scope captures of the line-level stimulus signal va a microphone's acoustic capture.
When they quit moving in lockstep as signal as raised, it's time to find out why. First is to make sure amp has stayed linear, by scoping it vs stimulus.
If amp is linear, I know the driver is either limiting mechanically or thermally. I don't really know how to separate one from the other, but I think pragmatically it doesn't really matter....linearity has been lost and I know at what voltage level.
I've kinda learned I only need to run bursts on the bottom end of a drivers passband, where excursion is greatest...that always seems to be what limits first.

As for as longer-term thermal, I haven't used it yet due to the noise it would make, but freeware from Eclipse Audio runs the AES75 test for maximum linear SPL. Uses AES Music-Noise as the stimulus.
https://eclipseaudio.com/downloads/SpeakerMeasure with AES75 Quick Start Guide.pdf

I truly believe the ability to reach higher SPL, that is uncompressed & unclipped, including headroom for transients.......
......throughout the entire spectrum........especially for the very bottom and top ends where it's hardest to achieve....
.....is what separates speakers more than anything else, once FR is decent.

I think it's also a great goal for the purpose of keeping distortion low.
 
I've kinda learned I only need to run bursts on the bottom end of a drivers passband, where excursion is greatest...that always seems to be what limits first.

That may be true, but in the publicly available dynamic range tests I'm thinking of I seem to remember compression also occuring in the top octaves as well, which then would lead to reviewers in other mags talking about it sounding like the compressed Fr as opposed to the 2.83V FR.
 
That may be true, but in the publicly available dynamic range tests I'm thinking of I seem to remember compression also occuring in the top octaves as well, which then would lead to reviewers in other mags talking about it sounding like the compressed Fr as opposed to the 2.83V FR.

Do you know if they checked to see if the amp was staying linear?
Oh, and were the tests of an actively driven driver alone, or thru a passive xover?

In all my test cases, I've known there was no amp limitation. And I have so much SPL headroom with the compression drivers I use, I quit burst testing at the very high end (plus I can't hear that high anyway!
But certainly, anyone interested in this should check the entire range.
 
Do you know if they checked to see if the amp was staying linear?
Oh, and were the tests of an actively driven driver alone, or thru a passive xover?

In all my test cases, I've known there was no amp limitation. And I have so much SPL headroom with the compression drivers I use, I quit burst testing at the very high end (plus I can't hear that high anyway!
But certainly, anyone interested in this should check the entire range.

Here's an example. The publication I was thinking of was StoundStage! Hi-Fi

https://www.soundstagenetwork.com/i...&catid=77:loudspeaker-measurements&Itemid=153
 
I believe b-force is also Dutch ;-)
What i ment, why does the res-frequncy drop because of damping? What mechanism causes that?
I searched the internet ,waded through AI generated moors, only to find out that i always get as first the math. Then only some notion that friction slows the movement, thus the frequency.
In my envisioning of damping is that the counteracting force a damper creates is velocity dependent.
If this is true it just reduces the amplitude.
Friction on the other hand is what f.i. a brake does, and ultimately will reduce the frequency to 0 (zero).
Where am i missing something?
(It is off, but i just needed to get it out of my brain ;-))
 
Yes your math background helps! I used pink noise and white noise in LIMP(Imp meas app of Arta) and let it run while measuring time and noting impedance increase (Re ) .
A 10% increase of Re (3.1 to 3.4) was very quick , i recall 2 seconds, the DUT being a sb26adc. That was unfiltered.
On my checklist to put together a better and reproducable approach including filtered condition .