If you push your example to the extreme, you'll see that a camera with 0.001% effective QE would be even better than your camera B.
Hi Pierre,
My point is
not that Camera B is better than Camera A, but that the signal in Camera B contains a lower
proportion of shot noise. If the effective QE of Camera B were 0.001% then a normal exposure in bright daylight, at base ISO, might take 10 seconds or more, instead of 1/100th of a second at the same aperture with Camera A.
In such a situation, it seems to me, that shot noise in Camera B would become totally irrelevant, and noise from sources other than readout noise would increase, such as thermal noise.
Try to look at "shot noise" it from the side of received/measured/counted photons.
Okay! I'll try. But I'm not Einstein and it's very difficult. I have virtually no understanding of why the processing of received light, once it has entered the camera and the shutter has closed, should increase the proportion of shot noise in the final signal, expressed as an electron voltage.
This is how I imagine the shot noise occurs. For the sake of simplicity, let's imagine we have a shutter than opens and closes intantly, faster than the speed of light, and that the entire signal for the entire scene exists momentarily inside the camera body, before it gets processed, and before it passes through the various obstacles on its way to the photodiodes.
Let's quantify the number of photons in that entire signal as being 1 million, for the sake of simplicity. The shot noise should be sqrt of 1 million = 1,000 photons, or 0.1% of the total signal. If that's true, then it's an insignificant amount of noise. Right?
Let's now consider the effects of just one aspect in the processing chain, but the real 'bady', the Color Filter Array which absorbs about half the light that has entered the camera.
In one fell swoop we are suddenly reduced to 500,000 photons. The other 500,000 have got absorbed by the CFA.
Now you (and Roy) seem to be implying that the CFA has a bias towards 'misbehaved, naughty' photons (those that arrived early or late), and lets pass a greater proportion of the 'naughty' photons.
If that's the case, please explain why. The shot noise in a million photons is 0.1% of the signal, whereas the shot noise in 500,000 photons is 0.14%. Why the bias towards 'noisy', 'misbehaved' photons?