My question are based on two things.
SNR can be modeled by the poisson distribution and with increasing illuminance, noise increases (shot noise) but so does the SNR.
Cinema camera sensors have a set sensitivity (native iso) and changing the iso (or perhaps more correctly formulated exposure index) merely represents a shift in latitude, as different EI represent different log curves.
Question: This brings me to my question. When you look at double native ISO the latitude distribution is different between the two, so I’m guessing it is another set of curves. But what I’m wondering is in regards to the amount of noise between EI 1250 at base ISO 800 and EI 640 at base iso 3200.
Assumption: If I had to surmise I would think that they have the exact same amount of noise, but that the setting at ISO 3200 requires less illuminance to strike the sensor, but perhaps due to the Quantum efficiency of the sensor more photons get converted into photoelectrons.
The only issue I have with this conjecture is that it would imply that it makes more sense to just simply use the second ISO as it is more sensitive, so obviously there must be something wrong in the assumption.
I would appreciate if someone with more knowledge on this topic could give an in-depth explanation and if my assumption is correct. This is based on digital cinema cameras but I can imagine that digital stills/photography cameras similarly function.
Here is the photo I’m referencing from the Sony Venice 2 dual native ISO, showing the latitude distribution for each EI at the two settings.