The references I have are from a PhD dissertation (whilst I was at UCLA working on my master's and working full-time in an R&D department) and an internal paper. I don't have permission to publish either. This paper discusses the 9N SFDR derivation, however: http://essay.utwente.nl/61335/1/MSc_PI_Bicker.pdf It distinguishes differently when N is 4 or less, however, see reference [8] in that paper. I had Dr. Abidi for several classes at UCLA way back when so that may be the reference I had in mind; the other I found tonight does not have the difference around N=4 but is more complex to follow. With appropriate simplifying assumptions it may provide the same result; I am not sure (and am too tired to dig into it deeply tonight, sorry).
I can't recall if the derivation is in the IEEE Standard.
HTH - Don
Bit math aside, you would still need microphones and playback systems with noise way beyond the current state of the art.
Don, Don, Don,........don't apologize. Your input has been very helpful to me at least. I know I am asking alot, and don't worry a minute about saying so. You don't owe me any serious amount of trouble fixing my misunderstandings.
And Ray, Ray, Ray...........<<<<redacted>>>>.
I don't understand the need for a system that can play at any volume. I never play louder than short peaks of 100 db. Why do I need a system that can go beyond 105? To do that would require me to invest in drivers/speakers that can take a lot of power (or have very high sensitivity), and corresponding amps. In short, fewer speakers to choose from, and probably more expensive.
I don't know if there's something to it or not, but Alan Shaw claims that his Harbeth speakers are made/tuned for being played at moderate volumes. He thinks that speakers can be designed and optimized for different listening levels. I'm not sure if I understand his logic, but Alan Shaw is a pretty smart guy. (and lots of people seem to love the Harbeths, so he can't be doing everything wrong)
No worries, but Work and Life is colliding big-time lately so I just don't have time and energy to dig deep right now.
Fundamentally, do you not understand why the number is ~9N, or do not understand why the discrepancy between the SNR and the SFDR? The latter is easily shown with a picture, I think, but the former requires actually doing some ugly (to me) math. AFAIK there is not a simple closed-form solution for SFDR (though this is not something I've really dug into for years so maybe some bright young researcher discovered one; I just remember the results). The hand waving explanation for the latter is that you look at the difference between the quantization steps and a pure sine wave, generate an equation that describes the errors, solve it, and calculate the ratio between signal and error terms.
Bessel functions work well for these calculations and are pretty cool themselves, but are one of those things that are a step beyond what most working engineers (at least I) deal with daily, and those grad school courses from 30-odd years ago have not all stuck with me. Check them out: https://en.wikipedia.org/wiki/Bessel_function
This would be a good time for ol' what's-his-name to step up and 'splain it to us po' dumb engine-eers who don't "get" the underlying science.
OT: Price aside, somehow I have never been a big Neumann fan, though they produce some sweet vocals. Perhaps because I mostly recorded instrumental ensembles I always seemed to gravitate toward AKG C414 series mics. All I own now are much cheaper and I don't record much anymore (last gig was a few years ago recording a local youth orchestra and generating concert CDs). My most expensive mic now is actually my old Earthworks M30 measurement mic.
Not quite sure why you think your system should distort. If of a reasonable standard there should be no audible issues - yes, I know most systems start sounding sad when pushed, for reasons I've mentioned too many times - but there is no inherent limitation which prevents them producing high impact, high intensity transients, for example.It is entirely up to you how loudly you like it, natch. 105 dB is the max set for THX systems (115 dB for subs) so I somewhat arbitrarily picked that. I imagine my system is distorting heavily by that point so hopefully I never get close to really listening that loudly.
I hope everyone knew my missive about 144 db speaker was not serious. ...
Sounds about right. I got the sales chappy with the Bryston and Dynaudio duo to push the volume of a drum workout to the point of intense transient impact, lifelike IOW; beyond volumes I've done - the amps were capable of 1000W into 8 ohms. and, probably more relevant, 0.007% distortion, 20Hz to 20KHz at 900 Watts into 4 ohms. This sounded as clean as the specs imply, showing that the speakers weren't a bottleneck.Back in the 80s, at an audio show in the UK, Court Acoustics demonstrated their range of PA speakers by generating 140 dB SPL with a recording of a field howitzer being fired. And a demo by KEF of their flagship speakers, where a recorded drum kit was reproduced at "lifelike" levels, with a meter showing the peak levels required (over 800 watts).
I'd be suspicious of the power supply running out of puff with graphs like this - first thing I would do is check what the voltage rails were doing when the higher bass SPLs were being called - I suspect they would be a bit of a mess.Result: At 98dB level (at listening position), the woofer starts to give out, as signified by the violet sweep that falls behind the stacked adjusted values of the other sweeps. Beginnings of a drop at the highest frequencies is also noted.
first thing I would do is...
Yup... Have you done distortion sweeps over power as well (apologies if you have and I missed them, busy day/week/etc.)
Unfortunately the only way I know to get to the real number is to do the math... Integrating Bessel functions without a closed-form solution; I don't think there's any easy way around it. You can read the paper I linked as a guide.
A limit for the speakers? For, say 95dB at the listening position, what does that translate to as the level measured centred in front of a single speaker working only, 1 metre away?...say to myself "Here's a limit for these speakers" and incorporate that finding into my expectations.
A limit for the speakers? For, say 95dB at the listening position, what does that translate to as the level measured centred in front of a single speaker working only, 1 metre away?