The non-linearities are quite obvious.
A sincerely genuine question - do you consider the non-linearities material given the goal here is the measurement of a DIY bass cab to confirm a correlation with the designers initial intent?
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The non-linearities are quite obvious.
In first instance any Vd (displaced volume) has got nothing to do with pressure gradient such as it is mentioned by @agedhorse in post #58@ThisBass Not sure why your not grasping this. Vd is a given volume displaced. When you place a mic a 1/4" from the dust cap of a speaker and play a sine sweep, the mic sees this as an SPL reading. With nothing changed but moving the mic to the port, that same volume displaced by the speaker is now radiated through a much smaller Sd. This effectively raises the Vd the mic sees, which it reports as a rise in SPL.
Yes, because we know that there are uncertainties but not how they combine because we do not know their relative phase. This is the reactive part that @ThisBass was getting at.A sincerely genuine question - do you consider the non-linearities material given the goal here is the measurement of a DIY bass cab to confirm a correlation with the designers initial intent?
The sound out of port does always reach max SPL when the cone movement is down at its minimum.Port and speaker close and 4" away.
View attachment 4938120
As you can see the port is louder, hence the need for SPL adjustment for proper splicing.
My write-up has an explanation of how ports work. It basically solves for free and driven resonators coupled within the same box.
But like most DIY'ers, I'm not equipped to do commercial quality measurements. Maybe I'll try an outdoor measurement, when it's not 32 degrees F, raining, and dark out.
Meanwhile, I have my own method, which has worked awfully darn well. I understand and trust the basic electromechanical model and driver datasheet, so I don't need to prove or disprove the laws of physics. Then I make what limited measurements I can, to confirm my parameter choices, but I don't need to make absolute SPL measurements. A near-field measurement will confirm the port tuning frequency and allow me to make adjustments as needed. I can also confirm some other parameters of my design model with an impedance curve.
I'm not trying to squeak the last 1/2 dB of performance out of a speaker. For one thing, that's impossible to model unless you know what the input waveform looks like. I've done some modelling of crude simulated bass waveforms, and they're informative.
Yes, because we know that there are uncertainties but not how they combine because we do not know their relative phase. This is the reactive part that @ThisBass was getting at.
We know for certain that there is phase shift because the port Acts the same as a narrow bandpass filter, so summing the two signals must include the phase difference.
A 1M composite measurement takes care of the complex math summing “automatically”.
Exactly the same thing occurs when summing component electrical filter signals, the complex (real + imaginary) math is difficult (for me anyway) to do efficiently and accurately, which is why composite measurements are made to validate the assumptions. Trust me, it’s a lot easier being wrong than right with this math.
I've got the hayfield and some measurement gear, but the problem is waiting for a day calm enough so the wind doesn't skew the readings. You have to have everything on standby and ready to go in order to take advantage of a dead calm day. I lucked out a few times when there was an approaching storm and it wad dead calm for an hour or so.My write-up has an explanation of how ports work. It basically solves for free and driven resonators coupled within the same box.
But like most DIY'ers, I'm not equipped to do commercial quality measurements. Maybe I'll try an outdoor measurement, when it's not 32 degrees F, raining, and dark out.
Meanwhile, I have my own method, which has worked awfully darn well. I understand and trust the basic electromechanical model and driver datasheet, so I don't need to prove or disprove the laws of physics. Then I make what limited measurements I can, to confirm my parameter choices, but I don't need to make absolute SPL measurements. A near-field measurement will confirm the port tuning frequency and allow me to make adjustments as needed. I can also confirm some other parameters of my design model with an impedance curve.
I'm not trying to squeak the last 1/2 dB of performance out of a speaker. For one thing, that's impossible to model unless you know what the input waveform looks like. I've done some modeling of crude simulated bass waveforms, and they're informative.
The sound out of port does always reach max SPL when the cone movement is down at its minimum.
That's the basic principle about how the Helmholtz resonator works.
I think the Xmax would be limited more so by the compliance restrictions rather than the coil excursion out of the gap. I'm not sure how you could measure the inductance in a dynamic condition.I think if I was working with unknown drivers, the first thing I'd rig up would be a way to measure the Thiele-Small parameters. That would give me numbers that I could plug into the model, for the basic response curve. Also, measuring the port tuning by any of the basic methods.
I'm not sure how I'd measure Xmax. I wonder if the coil inductance would begin to change dramatically when the cone is pushed beyond Xmax.
Now you've got me thinking about setting up a measurement. I've got a spare driver and box that I'm not using.
Sounds like a challenge.I think the Xmax would be limited more so by the compliance restrictions rather than the coil excursion out of the gap. I'm not sure how you could measure the inductance in a dynamic condition.
You could do that, but it would have to be held absolutely stationary to get a proper reading. The other issue is guessing when you are beginning to stress the limits of the compliance.Sounds like a challenge.
Actually I was thinking of just pushing the cone by a given distance while watching a display of the inductance, but probably easier said than done.
Both, which is why THD threshold of ~10% is now more commonly used. There are ways to alter the performance of the motor to change how this non-linearity is accomplished, the rate of change of flux at the fringes of the field. Another set of trade-offs.I think the Xmax would be limited more so by the compliance restrictions rather than the coil excursion out of the gap. I'm not sure how you could measure the inductance in a dynamic condition.
And that's why I posed the question about whether the non-linearities agedhorse mentioned in nearfield measurements are material in the context of the DIYer
And if we were measuring at 1m, there would no doubt be many a punter telling us about the pitfalls of working around reflective surfaces when we don't have the benefit of an anechoic chamber, or in the case of some people, even a wide open space free from houses, fences, vehicles etc (hence some of us using nearfield measurements). Collecting phase data is no harder than SPL with consumer electronics, and while I agree that the maths is hard when summing multiple signals, especially when incorporating phase, it is not impossible.
What method of measurement would you suggest is best for those of us without access to professional and commercial systems? If all my cabinets had ports in the front and I owned a backhoe, I would dig a hole with the baffle flush to the ground firing up and hang a microphone 1m from the ground. Bill Fitzmaurice suggested this decades ago, but it requires a lot of shovel work or earthmoving equipment, and a wife more understanding than mine when it comes to digging random holes in the ground!
At some point an inaccurate measurement might also validate an inaccurate modelling software tool.Even with the stated nonlinearities, I proven near field measurements can be viable in post #34. ...with WinISD no less.