And I get that. And I am saying that it works because a smaller sensor has less "gain"
Please do not misuse the word gain - it just causes confusion. It may well mean what you think it means in some contexts, but not in the context of image sensors. Gain is simply the amount of voltage per electron.
The size of the image sensor does not dictate gain, nor does changing the size of the sensor change it.
Why not use the same terminology with everyone else in the room or what the industry uses? It would make discussion easier and clearer.
so it requires stronger signal to have the same output level.
This is again very confusing. The sensor size is not relevant to the SNR if the amount of light is fixed in this context. In the context of formats SNR is simply a function of the number of photons captured.
Sorry that it's confusing; think what a sensor do - it converts incident photons to photoelectrons. If the Q.E. is the same at the pixel level, what accounts for more photoelectrons from a larger sensor.
Do you have any idea what QE is? It simply tells us how many electrons are excited by a photon hitting a photodiode
Yes, known as "photoelectric effect", of the theory which none other than Einstein won Nobel prize. P-N junction was not invented yet, however.
- typical number is in the ballpark of 0,5 (or 50%). It'd not someting "at pixel level" and something else "at some other mystical level".
The reason why bigger sensors may collect more light is because they are bigger.
Yes.
Why is that so hard to understand?
Not hard.
Bigger sensor also has larger signal holding capacity (meaning it can collect more photons before over exposure).
Yes. Collecting more photons is OK as a figurative expression, but photons are not collected and stored unlike water in a barrel. It's converted. There are no more photons.
I've told you already that a photon has the chance of QE of exciting an electron. The electron is stored, just like water in a barrel.
Why not read what I write and what others write instead of just writing?
Yes, a better metric makes comparison more meaningful.
Why do you incorrectly think that units of area are not metrics?
Is it relevant?
Do you now understand and accept that units of area a metrics?
So I'm suggesting an analogous metric from an antenna of "gain" which determined by the size and directivity of the antenna design.
Why the fixation to antennae? They are pointy, flexible and hard, image sensors flat and stable.
Rubber Ducky is not the only type of antenna but the analogue is in the fact that antenna converts EM energy to electrical signal as the imaging sensor convers EM energy to electrical signal.
I'm not that interested in antennae. I'm interested in image sensors.
How about talking about image sensors and signal and noise?
Because Radio Communications has been fixated about signal and noise before the imaging sensors.
So if we were talking about modern car engines you'd talk about steam engines or horse carriages?
There is no such sensor size depending "gain" in image sensors.
If we have sensor A with one pixel and sensor B which has two pixels which are 100% identical to the pixel of sensor A, sensor B will collect twice the light wiith the same exposure settings and have 1,41 time larger SNR (which we can measure in temporal domain to be sure).
What I am telling you is that it's more consistent with other engineering discipline to think of that as more "gain" that more "SNR"
Huh. That is just ridicilous.
Gain amplification does not increase SNR or decrease SNR. The infomration in the signal capured by the pixels is quantified, discrete. If you amplify the signal of 42 by factor of 2, it's now 84, but there is no new information - the noise is also amplified by factor of 2 and SNR remains the same.
You do realize that your using the term "gain" is very nonstadard and also you don't even bothering to define it in any reasonable way (like a mathematical formula) - this does not make matters any clearer, quite the opposite.
Already image sensors have a property of conversion gain, the gain amplification of
PGA is also often called gain in itself, and
now you want to have yet another and totally obscure gain to be introduced for no sane reason what so ever.
; Because the two pixels will generate twice the photoelectrons than one pixel. Like an amplifier with 2x gain will output twice the voltage.
Of course the pixels do have different spatial locations, though in this context that is not relevant.
Regardless, what you just said is false analogy: if you amplify a voltage you do not add any new infomation and the SNR remains the same. However if you add another pixel you double the amount of information and improve SNR by factor of sqrt(2).
So your gain system collapses.
No SNR need to be considered yet.
False.
SNR is an inherit property of light itself. Since we're concerned about the information of light, the photon shot noise needs to be considered.
If you double the signal by collecting twice the light (be that a larger exposure or larger sensor or whatever), you'll improve the SNR by factor of approximately 1,41.
This is because signal adds up, while noise adds up in quadrature. Or S=s1+s2 while N=sqrt(n1^2+n2^2).
However if you just double the signal by amplifying it ("using a larger gain") you do not improve the SNR at all.
Anyhow:
- Pixel collects light to electrons - this is all the information we get
- It's converted to voltge according to the design parameters of the sensor ("conversion gain"). No new information content appears.
- pragrammable gain amplifier (PGA) may amplify the signal in analogue domain - this is done to reduce the influence of noise from the next step in imaging chain. It does not add the information content of the data.
- Analogue to digital converter (ADC) converts the signal into digital nunbers. No new information is added to the signal.
I realize across the pond, analogue == analog, I meant analogue as in "in similar manner".
No idea what you mean by that as the clippeti clip sees to have clipped relevant part of the discussion. ADC is the device in the sensor (or off sensor) which converts the voltage to numbers. The numbers don't care of the size of the sensor.
Regardless, please re-read the bulled points.
Think of infomration - collecting light is about collecting information. Collecting twice the information and just amplifying the data by factor of two
do not create the same SNR as you seem to think.
At which point in the above list you think or wonder if the "mystical sensor size depending antenna gain" appears and influences the information content of the data?
The reason Radio Engineers "invented" SNR and antenna gain is to predict if the receiving system will be able to receive the "information content" that is being transmitted.
Please talk about image sensors. This is not a radio forum. The comment and the previous one are just obfuscation.
If sensor A has signal of 100 photons and sensor B has signal of 200 photons, regardless of the size of the sensors sensor B has higher SNR.
200 photons over a football field may have more SNR than 100 photons over a Ping-Pong table but what does it mean?
Ï've told you that already.
Please read what I write - it's boring to repeat. How large the capturing device is not irrelevant
in this context. You just have 100 or 200 phototons collected.
- Bigger sensor may collect more light - size matters here
- Signal and noise are simply metrics of data that has been collected - at this point size is not part of the function in any form or shape, ping pong or not.
- For output - the print - size is a relevant part of the visual impact of noise to the observer
Please think hard of the three points above.
And please think about that what Radio Engineers was trying to do
This is not a radio forum.
, was transmit "information content" and why SNR and antenna gain was important to them and in an analogues manner, imaging sensor is very much like an antenna.
It is obvious you do not understand what information is.
Boosting the signal and capturing more signal are not the same thing. For some reason you seem to think they are. Maybe the radios are confusing you.
Anyhow, here is an example of data from two image sensors - one is the size of ping poing table, the other the size of football field.
...I don't see any inherit difference between the information captured by football field and the data captured by pingpong, do you?
Yes, there is obvious difference; the football field will be much darker than ping-pong table, for the same number of photons from each.
And that is absolutely irrelevant for the SNR. Both systems collect the same information.
I've explained this to you many times and you still ignore it. It's been explained to you many times by others and you keep ignoring. Either you have serious issue with understanding logic and reason or with reading comprehension or you're just trolling around (at this point at least). I'd bet for trolling.
But I'll repeat one more time. Pleaase try to understand that and then understand what that football-field and pingpong-talble comparison is nonsensical.
- Image sensor collects photons
- These excite electrons - one per captured photon
- Each photoelectron is simply a minimal unit of information
- The more of them is captured, the more there will be noise - however the signal goes up at faster rate, thus SNR improves with more light
- From electrons we go through voltage to simple numbers via ADC.
- The SNR is fixed at this point.
- So far no need to consider size of ping pong table or footballl stadium at all
- Now we download the data to a computer.
- We process it as we wish.
- Now we print the resulting photograph out - finally size is relevant for how we humans perceive the SNR.
Both mean and standard deviation are similar and would be even more similar if I had bothered to use more photons, but I didn't want to fill this post with numbers.
A definition is not necessarily the truth...
I didn't define anything, just offered an example.
Fact is that 100 photons captured have signal of 100, and noise of 10, thus SNR is also 10.
If you amplify the signal of 100 to 200, you also amplify noise to 20, thus SNR will still be 10.
If you however capture 200 photons, the signal will be again 200, but noise will now be only 14,1.
Do you agree or disagree with that fact?