Room Response and Preference

I am being rational, just not pedantic. No one is asking you to buy it, just pointing out that I understand what someone is trying to say when they use the terms "3dB" and "twice" in the same sentence.

.

Sorry, I refuse to be stupid and blindly swallow half truth and lies. And guess who is nitpicking now?

You are not rational but rather intellectually deprived for defending a guy who thinks if someone eats like bird means they enjoy worms.

You are doing everything but not addressing the core issue why he raised about no air resistant in several posts. He was correct on F3, though.
 
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And guess who is nitpicking now?
Pointing out that I'm not the nitpicky type is not nitpicking.
You are not rational but rather intellectually deprived for defending a guy who thinks if someone eats like bird means they enjoy worms.
For shame, resorting to ad hominem attacks when your pedantic arguments are not gaining traction.
 
Pointing out that I'm not the nitpicky type is not nitpicking. For shame, resorting to ad hominem attacks when your pedantic arguments are not gaining traction.


It won't gain traction when the forum is swamped with people who continually justify nativity like inseparable lovers defending each other. And when spokesman come to a pedantic filled thread then it is no longer so. It is now beyond doubt the meaning of free air means no air resistant in your dictionary.This forum is not made up of mind readers who can interpret half baked explanation in the right context. It takes a man to own up his shortcomings. I may be expecting to much here.

Ok need to sleep. Will reply tomorrow. By the way, are you the same Sdurani in AVS forum?
 
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It won't gain traction when the forum is swamped with people who continually justify nativity like inseparable lovers defending each other.
And it's not like the continued name-calling will help your arguments gain traction on this forum either.
This forum is not made up of mind readers who can interpret half baked explanation in the right context.
Don't have to be a mind reader to take words in context. Certainly easier than taking those words out of context when trying to (mis)interpret them.
By the way, are you the same Sdurani in AVS forum?
The same.
 
Thank you! I hope now Fs becomes clearer. Fs is not the lowest frequency point of a driver. Thanks again Kannan.

Before congratulating yourself, may be you should try reading the Kannan's post again and understand what he is saying.

The driver impedance plays an important role in its frequency response. It reaches its maximum and becomes purely resistive at its open air resonance frequency (f/s) with maximum excursion.
Its impedance drops drastically below the f/s as at it becomes inductive. An improperly designed crossover, set to cover these lower frequencies can hence damage the driver.
Upward of f/s, the impedance starts to drop steadily and then shows a constant resistance for a wider frequency range for which the driver has been designed. This is normally mentioned as the nominal impedance of the driver (1 ohm, 2 ohm, 4 ohm or 8 ohm etc) in its T/S parameters.
Beyond this frequency range, the impedance again increases slowly and again becomes inductive.

To give an example, an 8 ohm driver (nominal impedance) can show a resistance of as much as 32 ohm at its f/s and drastically drop to as low as 2 ohms below the f/s, it will raise steadily beyond the f/s to 8 ohms and remain more or less constant for its designed frequency range and again slowly but steadily increase with frequency.
 
Ambio,

Its time to show facts. You claimed that the datasheets linked by you showed there is an output down to 4 Hz where the Fs has been around 40. I could not find any evidence in there. When I asked you to show us, you circumvented it. Well, I am linking those here for reference.
http://www.madisound.com/store/manuals/EW638.pdf
http://www.madisound.com/store/manuals/UW1058.pdf

In both these cases, there are two charts - one is impedance, other is sensitivity. No SPL chart showing output down to 4 Hz. However the impedance is shown down to 4 Hz. That's the only reference I see to 4 Hz. Not sure if you are extrapolating that to be having an useful output down to 4 Hz. If that is the case, then you should start reading the charts better. Kannan's post linked above will help you deciphering that.

Then you posted another link to Open Baffle speakers | Cube 10 | PureAudioProject as showing output below Fs. Again, there was no chart or anything which shows output below Fs. However, on that page, there is a link to Eminence driver they use.
http://www.eminence.com/pdf/Alpha_15A.pdf
Now, go to that datasheet and pay attention to Fs and Usable frequency range. Fs is at 41 Hz and usable frequency range is give at 45-3.5 Khz.

Also, if you want to know about Fs and its implication on low frequency output, read up on explanation of terms and try to make sense.
Page Title

The whole "No air resistance" as "no air" is a sideshow created by you to divert the discussion. But what you state there is untrue as well. You are undermining the power of air pressure on vacuum chamber. As shown in Magdeburg hemisphere experiment, 24 horses could not separate the two vacuumed hemispheres. Now, try applying the same thing to a bottle completely vacuumed. Try this experiment yourself first and then suggest it to others.

Again, I ask you to show me where a driver in "Free air" (using terminology you understand), without room gain, is able to achieve output below Fs. I don't have problem owning up. Question is - are you able to follow what you preach?
It takes a man to own up his shortcomings. I may be expecting to much here.
 
Very well done.

The first link - talks about tuning of the driver below Fs using the box + port. Which I have pointed out already that its possible to tune a speaker below Fs in a cabinet.

Second link - does not even talk about Fs. It is about power handling below rated frequency range of a speaker.

Third link - is to a marketing bullet point. They do not even have rated frequency range of the speaker specified, leave alone the measurement or conditions under which its measured.
 
Dear Manoj,

(Note: Your words are in red and mine are in black.)

I dont think this discussion is about understanding the question of Fs or twice as loud. It about who is having the last say.

1) You argued scientists and audio engineers said that 3dB increase is twice the loudness. I provided explanation about the common mistake to think that 3dB increase means twice the loudness. Did you admit your mistake? Nope. And you have not named the scientists and audio engineers who said so. But I can guess who that could be. You could easily name the scientists and end the discussion here.

2) You also kept on saying drivers would not go below Fs. To reiterate: A driver by itself will not be able to produce lower frequencies than Fs..
You are wrong. Fs is just a frequency where the cone moves freely with least restraint due to its natural resonance. Below Fs the drivers will continue to produce sound but less efficiently.

3) Your position kept on changing from your first post.
a. Post 19 - "Fs is the free air resonant frequency of a driver. Meaning, if the driver has no air resistance, this is the lowest frequency it can produce. The air in speaker cabinet acts like a spring and does not allow the driver to move freely, so it can't achieve Fs Bottom line is - No driver will be able to produce lower frequencies than Fs in an an-echoic chamber.".
b. Post 23, again you said, To reiterate: A driver by itself will not be able to produce lower frequencies than Fs..
c. Post 25, and again you said As I said earlier, the driver itself (no box), in an-echoic chamber will not be able to go below Fs..

4) Referring to 3 above, you then changed your position from no frequencies below Fs to damaging the driver and etc:-

5)
a. In post 45 maximum excursion. Its impedance drops drastically below the f/s as at it becomes inductive. An improperly designed crossover, set to cover these lower frequencies can hence damage the driver. I agree to the first two part of the definition but have nowhere said all of those opinion entirely correct without qualification.

b. In post 46, you have now changed tune and beginning to qualify your position . You pointed to speakersplan website and nowhere in there they stated that drivers couldnt produce frequencies below Fs. They said So a driver with an fs of 60 Hz will not produce 35 Hz very well. See the word very well. From your own reference it is clearly without doubt that Fs is not the final point of lowest frequency that a driver is capable of.


I could explain further but since your are insisting of non existing scientists and audio engineers who allegedly have said 3dB increase is twice the loudness, I doubt you would really understand the complexity of Fs. And the final nail in the coffin was when you said in post 46 However the impedance is shown down to 4 Hz. That's the only reference I see to 4 Hz. I dont thing you know how to read graphs or the actual unit for impedance.
 
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I think 3dB is a figure commonly associated with amplifier power. To get a 3dB increase in loudness, the amplifier should have double the power, everything else remaining the same. A 110 dB sound will be about twice as loud as 100 dB.
 
Dear Manoj,


1) You argued scientists and audio engineers said that 3dB increase is twice the loudness. I provided explanation about the common mistake to think that 3dB increase means twice the loudness. Did you admit your mistake? Nope. And you have not named the scientists and audio engineers who said so. But I can guess who that could be. You could easily name the scientists and end the discussion here.

I have to hand you here. I should have been careful with using the terminology and instead of saying loudness, should have used the correct term "twice the output". Loudness is perceived so, I shouldn't have used the term. However, that still does not negate the fact I was trying to get. If you add two 82 db sources together, you will get 85 db. That's twice the output. Same analogy can be used for comparing 58 db vs 82 db. The whole loudness discussion came about because of this. So, I accept, should have used the correct term instead of "loudness".

Now, can we say the same thing about the whole "vacuum" sideshow that you created. Or you are still insisting that a driver mounted in vacuum chamber can be made to move and create audio?
2) You also kept on saying drivers would not go below Fs. To reiterate: A driver by itself will not be able to produce lower frequencies than Fs..
You are wrong. Fs is just a frequency where the cone moves freely with least restraint due to its natural resonance. Below Fs the drivers will continue to produce sound but less efficiently.
Show me a driver measured this way and generates output below Fs. Should be easy enough, right?
3) Your position kept on changing from your first post.
a. Post 19 - "Fs is the free air resonant frequency of a driver. Meaning, if the driver has no air resistance, this is the lowest frequency it can produce. The air in speaker cabinet acts like a spring and does not allow the driver to move freely, so it can't achieve Fs Bottom line is - No driver will be able to produce lower frequencies than Fs in an an-echoic chamber.".
b. Post 23, again you said, To reiterate: A driver by itself will not be able to produce lower frequencies than Fs..
c. Post 25, and again you said As I said earlier, the driver itself (no box), in an-echoic chamber will not be able to go below Fs..

Read all the posts in context. Those mean the same thing. I never shifted my position from a free air driver output. You took "no air resistance" and created "vacuum" sideshow. So, I had to mention, "by itself" meaning "not in a box". To take out room gain out of question, I had to use anechoic chamber because we want to see measurements of a driver without an external influence. But you just want to quote things out of context and try to be one-up. Rather than focusing on my words, I think posting some concrete things would actually help.
4) Referring to 3 above, you then changed your position from no frequencies below Fs to damaging the driver and etc:-

5)
a. In post 45 maximum excursion. Its impedance drops drastically below the f/s as at it becomes inductive. An improperly designed crossover, set to cover these lower frequencies can hence damage the driver. I agree to the first two part of the definition but have nowhere said all of those opinion entirely correct without qualification.

That post was not mine. It was Kannan's. And I think it was in response to the datasheet that you linked containing impedance graph. Then without understanding it, you started patting yourself on the back, and said that proved the Fs is not a lowest frequency point of a driver. All I did was to tell you to read the post again. Here was your post.
Thank you! I hope now Fs becomes clearer. Fs is not the lowest frequency point of a driver. Thanks again Kannan.
here is my response to it.
Before congratulating yourself, may be you should try reading the Kannan's post again and understand what he is saying.

Now, where does it look like I have changed the tune? It was you who was using that post to pat yourself on the back. But when I pointed out it was rather opposite, here you are calling it "not entirely correct without qualification". Who is changing position now?
b. In post 46, you have now changed tune and beginning to qualify your position . You pointed to speakersplan website and nowhere in there they stated that drivers couldnt produce frequencies below Fs. They said So a driver with an fs of 60 Hz will not produce 35 Hz very well. See the word very well. From your own reference it is clearly without doubt that Fs is not the final point of lowest frequency that a driver is capable of.
What new position did I change to? Care to explain? Again - you are taking things out of context and quoting it. I guess its an habit to you. Here is the complete para from that site.
"The point at which all the moving parts of the driver sympathize or resonate. Resonance is a hard thing to explain simply, but a rule of thump is that you will find it hard to produce lower frequencies than the drivers fs. So a driver with an fs of 60 Hz will not produce 35 Hz very well. A driver with an fs of 32 Hz will produce 35 Hz, if the box is tuned low enough. These two examples relate to closed, ported and bandpass cabinets, horns are less affected by fs as they use the driver as a piston. "

Read the very next line after your green "very well". Clear enough? Or trying to omit that as well. Btw, the whole site is dedicated to speaker plans and designing speakers (not drivers), so their context is invariably a "box"
So again - where did I change my tune?
I could explain further but since your are insisting of non existing scientists and audio engineers who allegedly have said 3dB increase is twice the loudness, I doubt you would really understand the complexity of Fs. And the final nail in the coffin was when you said in post 46 However the impedance is shown down to 4 Hz. That's the only reference I see to 4 Hz. I dont thing you know how to read graphs or the actual unit for impedance.

Well, you mentioned that there is a speaker with Fs in 40s having output upto 4 Hz. Your exact post was.
Furthermore, I think drivers are way capable to go beyond Fs. The Manufacturer datasheet clearly shows that as the Morel was shown to go as low as 4Hz! even though the Fs was 39Hz.
When I asked you show me the links, you said its posted. I have been asking to show a graph but you evaded. On your posted links, I could not find any reference of 4 hz except the impedance one. You confirmed my suspicion by posting this.
It is there. Understand what Fs is and you will see it in the link. See Kannan's post.

Clearly you were referring to the impedance chart because Kannan's post was about impedance. So, how about supporting your claim of Morel driver going upto 4 Hz? . I have been asking for that driver which can do 4 Hz for last 5 days.
I dont think this discussion is about understanding the question of Fs or twice as loud. It about who is having the last say.
Yes. Quite evident from the way you have been going about this. But if that's your goal, you won't win it.
 
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I think 3dB is a figure commonly associated with amplifier power. To get a 3dB increase in loudness, the amplifier should have double the power, everything else remaining the same. A 110 dB sound will be about twice as loud as 100 dB.


That's correct. Thanks.
 
{As usual yours in red, mine black, neutral citation green}


I have to hand you here. I should have been careful with using the terminology and instead of saying loudness, should have used the correct term "twice the output". Loudness is perceived so, I shouldn't have used the term. However, that still does not negate the fact I was trying to get. If you add two 82 db sources together, you will get 85 db. That's twice the output. Same analogy can be used for comparing 58 db vs 82 db. The whole loudness discussion came about because of this. So, I accept, should have used the correct term instead of "loudness".

Finally, you are admitting. But I have never seen someone twisting and turning words to prove they are not wrong and I feel childish to point it out to you.

First you started off saying:-

Manoj - " But again how much lower the 24 db down is? Quite a lot because the loudness scale is logarithmic...Even if these two are co-located, the combined output would be 85 db. Every 3 db is twice as loud. "

Ambio - Sensing you might have mistyped I asked "What do you mean loudness scale is logarithmic? You are moving too fast that a novice like me struggling to understand the relevance of all terminology in this discussion".

Manoj -"Loudness scale is not linear and every 3 db increase is twice as loud. Same way, every 3 db lower is half as loud. So if you want to compare how loud 82 db is compared to 58 db, start doing the math".

Ambio - Since you refused to consider what I pointed out, I replied " I am sorry but your understanding of loudness is flawed. 3dB increase will not make it twice the louder. Nor would twice the power make it twice louder. Anyway, this a common mistake and I too once guilty of the misunderstanding.".

Unfortunately, you still insisted you were right, and continued

Manoj - "It's not my understanding. I am stating it because thats what is accepted by Audio engineers, scientists and Industry. And if you don't think 3 db increase is double the loudness, then to get 85 db, why you proposed to put sub and mains at 82 db each? Either that one is flawed or what you are saying now is flawed. You can't have it both ways.

And if 3db increase is not twice as loud, then what would be twice as loud? I would like to know."


Ambio- so far you have consistently stood your ground insisting that 3db increase is twice as loud. I dont think there is any ambiguity there with your statement. So I continued " I would like to hear from the Audio engineers, scientists and Industry themselves. Show me. Anyone by asking google would have known the answer by now and yet you are still harping on this. Search for this phrase and you will have better understanding about loudness.

Quote:
In the newsgroups these often misunderstood statements are explained rather less accurately. Decibels can also mean dBSPL or dBA, while a level change is always in dB. The perceived loudness of the sound depends on several factors: the amplitude, the sound pressure level, the frequency, and the time behaviour of the sound. A typical question on the internet: "Is 3 dB or 6 dB double the loudness?"
The answer is: "It is neither 3 dB, nor 6 dB ? it is closer to 10 dB".

And at last, though blaming on terminology, when I already pointed out that twice the power would not make it twice the loudness. What took you so long?



Now, can we say the same thing about the whole "vacuum" sideshow that you created. Or you are still insisting that a driver mounted in vacuum chamber can be made to move and create audio?

Show me a driver measured this way and generates output below Fs. Should be easy enough, right?


I already replied. See post 26 and 32. All I was trying to illustrate acoustic frequency needs a medium to travel. In a sealed vacuum box, a driver (where the cones facing outside and in immediate contact with the surrounding air should able to produce the sound provided the movement is strong enough to over come 14 pound per inch pressure.


Read all the posts in context. Those mean the same thing. I never shifted my position from a free air driver output. You took "no air resistance" and created "vacuum" sideshow. So, I had to mention, "by itself" meaning "not in a box". To take out room gain out of question, I had to use anechoic chamber because we want to see measurements of a driver without an external influence. But you just want to quote things out of context and try to be one-up. Rather than focusing on my words, I think posting some concrete things would actually help.


No air resistance means only one thing but thanks for clarifying even though you are still wrong.


..
Well, you mentioned that there is a speaker with Fs in 40s having output upto 4 Hz.

Clearly you were referring to the impedance chart because Kannan's post was about impedance. So, how about supporting your claim of Morel driver going upto 4 Hz? . I have been asking for that driver which can do 4 Hz for last 5 days.

Yes. Quite evident from the way you have been going about this. But if that's your goal, you won't win it.


Never mind about wining or not, you mean after 5 days you still cannot find the Moral drivers specs in the link I gave you? And how to plot a graph? What is the purpose of axis y and x? I let you go on defending yourself that drivers would not produce any sound below Fs because there is a video exactly showing just that. I need more time because the calculation he did in the experiment is beyond my comprehension and I need to work on that so that I could answer more questions.

:)
 
You are absolutely right! And my room response thread got side tracked to the point of no return.
 
{As usual yours in red, mine black, neutral citation green}




Finally, you are admitting. But I have never seen someone twisting and turning words to prove they are not wrong and I feel childish to point it out to you.

First you started off saying:-

Manoj - " But again how much lower the 24 db down is? Quite a lot because the loudness scale is logarithmic...Even if these two are co-located, the combined output would be 85 db. Every 3 db is twice as loud. "

Ambio - Sensing you might have mistyped I asked "What do you mean loudness scale is logarithmic? You are moving too fast that a novice like me struggling to understand the relevance of all terminology in this discussion".

Manoj -"Loudness scale is not linear and every 3 db increase is twice as loud. Same way, every 3 db lower is half as loud. So if you want to compare how loud 82 db is compared to 58 db, start doing the math".

Ambio - Since you refused to consider what I pointed out, I replied " I am sorry but your understanding of loudness is flawed. 3dB increase will not make it twice the louder. Nor would twice the power make it twice louder. Anyway, this a common mistake and I too once guilty of the misunderstanding.".

Unfortunately, you still insisted you were right, and continued

Manoj - "It's not my understanding. I am stating it because thats what is accepted by Audio engineers, scientists and Industry. And if you don't think 3 db increase is double the loudness, then to get 85 db, why you proposed to put sub and mains at 82 db each? Either that one is flawed or what you are saying now is flawed. You can't have it both ways.

And if 3db increase is not twice as loud, then what would be twice as loud? I would like to know."


Ambio- so far you have consistently stood your ground insisting that 3db increase is twice as loud. I dont think there is any ambiguity there with your statement. So I continued " I would like to hear from the Audio engineers, scientists and Industry themselves. Show me. Anyone by asking google would have known the answer by now and yet you are still harping on this. Search for this phrase and you will have better understanding about loudness.

Quote:
In the newsgroups these often misunderstood statements are explained rather less accurately. Decibels can also mean dBSPL or dBA, while a level change is always in dB. The perceived loudness of the sound depends on several factors: the amplitude, the sound pressure level, the frequency, and the time behaviour of the sound. A typical question on the internet: "Is 3 dB or 6 dB double the loudness?"
The answer is: "It is neither 3 dB, nor 6 dB ? it is closer to 10 dB".

And at last, though blaming on terminology, when I already pointed out that twice the power would not make it twice the loudness. What took you so long?

As I said earlier, should have been careful with the terminology. But I stand by what I was trying to communicate. Replace "loudness" in my posts with "output" and the points put forth by me are still valid. two 82 db will mean 85 db. With that, compare how much output difference is between 58 db vs 82 db. But I know that this is a stick you got and you will keep swinging it forever.
I already replied. See post 26 and 32. All I was trying to illustrate acoustic frequency needs a medium to travel. In a sealed vacuum box, a driver (where the cones facing outside and in immediate contact with the surrounding air should able to produce the sound provided the movement is strong enough to over come 14 pound per inch pressure.
You are wrong. Just tell use how much power do you think we need to move that driver, assuming that driver survives the air pressure? I guess you have a Nobel prize in sight.

No air resistance means only one thing but thanks for clarifying even though you are still wrong.

As I said, this is out of context, and trying to get some one on choice of words. All along we were talking of resonance and free air resistance. But rather than understanding, you want to take it and play as gotcha. A normal person would come in, and may be ask, "are you trying to say free air?" But as has been pointed earlier, it's a different case with a pedantic behavior.


Never mind about wining or not, you mean after 5 days you still cannot find the Moral drivers specs in the link I gave you? And how to plot a graph? What is the purpose of axis y and x? I let you go on defending yourself that drivers would not produce any sound below Fs because there is a video exactly showing just that. I need more time because the calculation he did in the experiment is beyond my comprehension and I need to work on that so that I could answer more questions.

Nope, I could not find anything in that datasheet which shows output at 4 Hz.
So rather than questioning my understanding or ability to plot a graph, why not show us the meaning of it? You said earlier that
The Manufacturer datasheet clearly shows that as the Morel was shown to go as low as 4Hz! even though the Fs was 39Hz.
And now you say that the experiment is beyond your comprehension. It is funny - you find evidences cited by you incomprehensible yet you make fun of me not able to understand the graph after 5 days.

Just post a valid graph with explanation and this discussion ends. Fact is - there is nothing in any of the datasheets that you posted showing output at 4 Hz. You took pains to post other sites after "test test test" but not the original specs you linked shows you have nothing so far.
 
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Never mind. Don't want to fall for temptation.
 
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Mahabartha - Final chapter.

......

You are wrong. Just tell use how much power do you think we need to move that driver, assuming that driver survives the air pressure? I guess you have a Nobel prize in sight..

Just about 14.7 pounds for every 1 sq. inch diameter of drive cone. Or if the cone is small enough, say about 1cm it should be about 1kg per sq.cm. Can a voice coil magnetic field exert enough energy to match that? Can the grand Utopia's driver with a magnetic coil of 34T.m. force factor move it? Very much so. Furthermore, there idea of vacuum enclosure for speakers already been patented and in market. They are known as Vacuumspeakers. They use springs to counter the atmospheric pressure to keep the diaphragm in suspension.

I don't mind the Nobel but I am not sharing with your scientists and audio engineers, ok? .:lol::p

......Just post a valid graph with explanation and this discussion ends. Fact is - there is nothing in any of the datasheets that you posted showing output at 4 Hz. You took pains to post other sites after "test test test" but not the original specs you linked shows you have nothing so far.

Post 46 where you said

In both these cases, there are two charts - one is impedance, other is sensitivity. No SPL chart showing output down to 4 Hz. However the impedance is shown down to 4 Hz. That's the only reference I see to 4 Hz.

If the driver is not producing any movement at 4Hz then what are they measuring the impedance against? The graph is plotted Impedance vs frequency. It is rather too basic that I have no idea how else to explain to you because that would mean I have start from the very beginning from "How to draw a graph".

But then you don't understand anything about the impedance graph and asked that you are not seeing any frequency response graph so there could be any sound at 4Hz. They are NOT SPL chart. SPL chart means something else but sometimes we all make mistake and use it interchangeably.

All these 30 over posts is related to your insistence that drivers cannot produce any frequencies below Fs. Which is wrong. They could produce way below Fs but rather inefficiently causing too much problem to the crossover design and distortion and amplifers.


If you still want a FR graph specifically and hope that will end the discussion. Go back to Trio15 TB and Duet15 TB Open Baffle Speaker - PureAudioProject and click http://www.tb-speaker.com/detail/1230_04/w8-1808.htm .

In that you would see both SPL and Impedance charts merged into one. The Fs of the driver is 45Hz. You could see that in the chart and also in the T/S parameters. Then look at the frequency response chart you could see the loudness is about75dB at 20Hz. Do you agree 20Hz is below the Fs 45Hz?. So does it mean that the driver is producing frequencies below Fs?

If you are still are still clueless about all these. Watch this video below and see how pros measure Impedance and frequency response. It is just one bust of sweep and you get everything from FR chart to Impedance. Pay attention to the word quasi-anechoic. Do you see how they cancel out room influence? (Strictly speaking anechoic chamber is not required for Impedance measurement).

Video APx Loudspeaker Production Test measurement - YouTube

More detailed explanation about T/S here. APx Impedance/Thiele-Small measurement - YouTube

These videos are from Audio Precision. They are the industry standard in audio analyzer.

That's all I have to say.
 
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Just to clarify a point here - Please see this paper: About Decibels (dB) which says twice the loudness perceived by human ear needs an increase of about 10 dB in the SPL. 3 dB increase or decrease in power is doubling or halving of power. But that doesn't equate to twice or half increase in loudness perceived.
 
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