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 - 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. Why is that so hard to understand? Bigger sensor also has larger signal holding capacity (meaning it can collect more photons before over exposure).
So you say it because the larger sensor collects more light which is an obvious observation but not an metric.
Let's see some definitons of metric:
"A system or standard of measurement" .
"Often, metrics. a standard for measuring or evaluating something, especially one that uses figures or statistics"
"a standard of measurement"
Why do you incorrectly think that units of area are not 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.
How about talking about image sensors and signal and noise?
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).
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.
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?
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.
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.
S(pingpong) = [0.033,0.659,0.873,0.735,0.992,0.352,0.543,0.479,0.28,0.955,0.425,0.129,0.86,0.196,0.448,0.269,0.821,0.746,0.81,0.121,0.686,0.324,0.314,0.908,0.171,0.628,0.57,0.91,0.953,0.958,0.88,0.41,0.328,0.109,0.718,0.89,0.913,0.083,0.342,0.392,0.125,0.5,0.668,0.61,0.928,0.596,0.666,0.138,0.498,0.616,0.385,0.833,0.16,0.099,0.884,0.985,0.385,0.675,0.683,0.174,0.087,0.187,0.294,0.678,0.633,0.396,0.199,0.404,0.307,0.609,0.436,0.105,0.674,0.232,0.828,0.116,0.19,0.497,0.333,0.515,0.923,0.911,0.259,0.466,0.004,0.913,0.321,0.456,0.742,0.964,0.024,0.683,0.106,0.867,0.842,0.66,0.359,0.785,0.922,0.345]
S(football) = [0.217,0.4,0.28,0.905,0.871,0.844,0.762,0.968,0.641,0.873,0.116,0.991,0.528,0.275,0.676,0.462,0.006,0.257,0.137,0.409,0.592,0.411,0.661,0.284,0.356,0.38,0.634,0.08,0.385,0.696,0.243,0.295,0.114,0.535,0.836,0.221,0.048,0.756,0.37,0.561,0.739,0.316,0.667,0.477,0.8,0.091,0.38,0.423,0.466,0.416,0.361,0.665,0.181,0.527,0.645,0.478,0.536,0.216,0.585,0.05,0.771,0.424,0.784,0.177,0.254,1.0,0.772,0.893,0.834,0.31,0.6,0.053,0.184,0.68,0.17,0.671,0.573,0.564,0.094,0.912,0.323,0.065,0.764,0.644,0.752,0.221,0.946,0.851,0.87,0.705,0.564,0.494,0.849,0.472,0.334,0.238,0.081,0.958,0.435,0.192]
I don't see any inherit difference between the information captured by football field and the data captured by pingpong, do you? 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.