Understanding analog signal levels - RMS, P-P, SE, and Balanced

No 0dbFS has meaning to refer to 0 dBFS (decibels relative to full scale) represents the maximum possible digital signal level in a digital audio system. It's the "clipping point" where the signal is as loud as it can be without distortion. Any signal exceeding 0 dBFS will be clipped, meaning digital information will be lost. Getting lost in translation in post #40 is that the PC volume is analog, so does not correlate.
 
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What is then good practice? Should it putput 4Vrms at -0.2dBFS or even lower? or is 4Vrms okay at 0dBFS for the DAC, but the power amp should reach max at 1.7Vrms or something?


It depend from the gain structure of your signal path ( more often than not dependent of your application, you won't have same requirements for a 'late night' configuration using 2w amp or a PA system for a 100.000 people crowd) and the design choice you make.

Eg you want to have max digital resolution for your converter ( use it up to 0dbfs not to loose bits of resolutions in digital realm) but want to have provision of voltage gain in case you'll be using an amplifier with low voltage gain then you might target a little bit higher than the 2 volts...

Or you'll use pro 1kw amp for sub and you need high spl at 32m in sub range then you'll need way higher output voltage...

It's all application dependant and without design goal set by yourself it can be anything....

That's why i gave the previous explanation about looking for a dbspl value at listening point... by seting the parameters for good you then know what to design and the choices you'll have to make to reach your goal... otherwise your into the wild.

I guess you are right, but for now I'm just trying to figure out what levels to aim for where to make my gear be compatible with commercial gear as well.


without knowing which 'commercial gear' you target you won't figure out anything! 😉

Let me take another example from hifi world:
Let's say you are a Nelson Pass aficionados ( things in life can be much much worse than this) and you have an F-5 and an F-4 amps.
One have circa 18db voltage gain to reach it's full 25w rms into 8 R, the other 0db voltage gain ( even little negative gain!) as it's a (power) buffer..

The requirement for your converters voltage output requirements will be fairly differents... a 2volts max voltage will drive the F-5 no issue. But you'll have low ouput with the F-4...
A pro dac ( max output voltage +24dbu) will drive the F-4 ok and if your loudspeakers are efficient enough you might need attenuation even...


So lets try a different question again:
If I am to design a power amp (lets say from scratch) I want it to have a RCA input and a XLR input. I want both inputs to be able to reach amplifier clipping(or allmost at least) when driven by commercial eqipment such as a wiim pro streamer(for RCA) or my focusrite soundcard (for xlr). The wiim has these socalled "2Vrms" RCA's just as my own PCM5102DAC. The Focusrite says "16dBU"(4.8Vrms).
What Vrms level should clip my power amps RCA and XLR inputs. If I understand you guys comments it would be:
  • RCA input sensititvity: 0.32Vrms (-10dBV) or 1Vrms(0dBV)?
  • XLR input sensitivity: 0.77Vrms (0dBU) or 1.22Vrms (+4dBU)?


No. It's dependant from the amplifier voltage gain. If you have a 'small power' amp ( let's say a chipamp like a tda7293) the voltage gain will be +30db to obtain 100w into 8r.

If you have a large powerfull amp with the same +30db voltage gain but with 1kw into 8r capability obviously the max input voltage for max clipping will be very different...
 
If you have a large powerfull amp with the same +30db voltage gain but with 1kw into 8r capability obviously the max input voltage for max clipping will be very different...
Okay, I understand what you are saying and I understand that depending on the amplfiers gain and output capability, speaker efficiency and listening conditions the ideal input voltage may be very different.. This all makes sense for me.

But what I still do not understand is what actually comes out of my DAC and when..

Therefore its impossible for me to say how much gain I need.. Regardless of my amps gain being +30 or 0dB...

When the PCM5102 says it has 2Vrms output and the focusrite says it has 4.8Vrms output is this then under the same input condition? and what input condition is that?

What peak voltage do they actually output when I play Tidal music at full volume? This is all I need to know now in order to understand it in my head i think.

Then I can easily figure out how much gain I want in my DAC or amplifier input stage... I think xD
 
You can't know for sure with musical contents... as each tracks are differents!

That's why we calibrate with 'known' signals: 1khz waveform or pink noise at a given level ( digital (eg:-20dbfs) or analog ( 1,23v/+4dbu).

Let's take your pcm and focusrite:
For a known -20dbfs signal send through both, the analog signal they'll output depend from the 'standard' the designer choose to base the analog part of the circuit.

So if your pcm is 0dbfs=2v rms it'll out -20dbfs @ 0,1946V
If your scarlet is 0dbfs= 16dbu it'll out -20dbfs @ 0,48V

Both are the same digital signal value but scaled differently in the analog realm.

What tidal will ouput at max is 0dbfs. But it's not true for all tracks played as it will differ from the kind of music played (and how the 'levelling' algorythm does it things... but forget about this for the moment):

A metal or electronic music track will have low dynamic range. The styles ask for this: so they have very high rms value and low peaks. When you look at them in a software the visualisation looks like constant 'blocks'.

A classical track at the inverse will have a lot of variation about dynamic, with very quiet passages and forte... the average level will be poor ( rms) but there will be high peaks...

If tidal play the metal track it'll lower it's level and no peaks will ever reach 0dbfs. But if it plays the classical track to have same perceived level (rms) than the metal track then there will be 0dbfs peaks...

It doesn't matter if you have calibrated your main listening point at a known level target: the algorythm in Tidal will make it constant.

If like me you don't see the point to pay again for something you already have ( music on physical media) then analyzing your tracks/album to know their rms value and having a calibrated level knob will do the same as the algorythm in tidal... you just operate them manually and take a bit of time for the analysis... 😉
 
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Okay @krivium , I think I understand.

So basically the loudest possible peak from Tidal could potentially be 0dBFS, or at least very close to?
So the worst possible peak from:
  • The PCM would be close to 2.8Vp?
  • The Focusrite could be close to 6.7Vp?
Im aware that most music will have a RMS voltage waaay lower, but this could be the maximum peaks at full volume - Correct?
 
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Yes.

There is confusion because: we (human) judge level on rms level ( sort of, it's a shortcut) but the musical contents have peaks ( which we do not want to modify too much as they often contain important informations) and as we can't predict signals we have to assume things and from there use signal and standard to calibrate the circuit despite they don't really mirorr the musical signal ( few things are pink noize or sinus ( but it can exist in musical context though).

And to make things even more abstract to grab the absolute limits in analog and digital are at the opposite ends of each scales ( odbfs is a max volume for digital, in analog the absolute limit is noise in the very low levels...).

I totaly get it makes headache! 🙂
 
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Yes ( your math and approach seems valid to me) and no ( real life is the ultimate test):

One of the 'best' practice is to have all stage in an audio path to all clip at the same time.

That said having headroom within the amp guarantee you the amp won't clip>generate square wave> push up the harmonic content> fry tweeter.

But it ask to have either an operator aware of the limits ( don't bring level up to the max when driving a 250w max driver with a 5kw amp...) or some kind of attenuator in the path.

And it won't protect against the dac clipping either... it's all about choice and compromise you are willing to make.
Being in the engineer role is not easy task. 😉
 
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Yes ( your math and approach seems valid to me) and no ( real life is the ultimate test):
Finally!! I actually think I understand it xD
Thank all you guys for explaining it in this detail!


That said having headroom within the amp guarantee you the amp won't clip>generate square wave> push up the harmonic content> fry tweeter.
Exactly my thought. I want to be able to utilize all my amplifier power for the subs for mid and tweeter I may limit the amps even further to ensure that I will stay in low distortions.

For your last two points. My products are only for personal use, so the operator knows.. until he forgets 😛

But knowing what I know now I will add a limit in the dsp (I have full control of the program on it) to ensure that the DACs will never see 0dBFS.


Again thanks everyone!