Great Bustard
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DR per pixel using a 100% NSR for the noise floor is not a meaningful way to discuss the DR of a photo.Yes it is. It matches the DXO definition for the screen DR as opposed to the print DR. Both are perfectly meaningful despite the stubborn insistence to the contrary of several members here. If the maximum signal is 1, the screen DR is zero, but the print DR is not.If you are measuring DR over the area of a pixel and choosing a 100% NSR as the noise floor, but this is not a meaningful way to discuss the DR of the photo.Not that point. The point that the DR is limited by light quantization. For example, if your maximum signal is 16 photons, you only have 4 stops of DR without downsampling.In fact, he doesn't. He would only back up your point *if* your assumption that the actual pixel FWC decreases with higher ISOs. It does not. Only the effective FWC decreases, and that is a function of the bit depth.I see. Then he only backs up my point.
For the same of argument, then, let's say what I was calling "pixel noise" is the electronic noise before amplification, and what I was calling "ADC noise" is the electronic noise after amplification.There is no ADC noise. An ADC is a device capable of the specified resolution. Its noise cannot be even 1 bit, because it would reduce its resolution by 1 bit and make it not what it is presented to be. The noise enters before the ADC. However this point has no bearing on the consequent discussion or the final conclusion. It does not matter whatsoever where the noise originates, as long as it is after the amplifier, which is separate for each pixel and located inside the photocell.Let's say the signal is 100 electrons, with a pixel read noise of 2 electrons, an ADC noise of 27 electrons, and all other sources of electronic noise are insignificant in comparison.You are correct that a mere increase of the ADC depth would not increase the DR, but amplifying the ISO-100 signal would, as I described above.
Yes, the actual value of the read noise is not reduced, but it would be reduced in my step 3: "Reduce the signal back to the normal voltage by a passive filter at the ADC". I will let you sleep on it and if you still don't get my 4-step logic tomorrow, I will try to explain in more details.
If we shoot at ISO 100, then the total read noise is sqrt (2² + 27²) = 27.1 electrons. If we push the photo 5 stops, the read noise is 27.1 x 32 = 866 electrons relative to an effective signal of 100 x 32 = 3200 electrons, for a relative pixel read noise of 866 / 3200 = 27%.
On the other hand, if we shot at ISO 3200, the effective pixel noise is 2 x 32 = 64 electrons, which then passes through the ADC for a total noise of sqrt (64² + 27²) = 69.5 electrons, resulting in a relative pixel read noise of 69.5 / 3200 = 2.2%. This is exactly what shooting at ISO 3200 is less noisy than shooting at ISO 100 and pushing five stops.
Now, let's discuss the DR per pixel using the read noise as the noise floor. Let's say each pixel has a FWC of 80000 electrons, a pixel noise of 2 electrons, an ADC noise of 27 electrons
Well, it is exactly what I was proposing in the OP. However, I think I see what you mean -- rather than encode the amplified signal with a greater bit depth, condense back down after its been amplified and encode with the least number of bits to maintain the DR (16 bits, in this example).Not exactly. Your proposal was that it was the resolution of the ADC that made a difference, but in fact it is the amplification. However, this technicality does not change the result., and, again, other sources of electronic noise are insignificant in comparison. This will result in a DR of log2 (80000 / 27.1) = 11.5 stops.
Let's say we had a bit depth so large that we could amplify the signal as much as we wanted without clipping. We'll use the same 5 stops for this example. Then the effective signal would be 80000 x 32 = 2560000 electrons and the effective pixel noise would be 2x32 = 64 electrons, giving a read noise per pixel of sqrt (64² + 27²) = 69.5 electrons, and thus a DR of log2 (2560000 / 69.5) = 15.2 stops.
Hey! That's what I was proposing in the OP!
Thus, for this idea to work, we just need to have hardware that has enough resolution (is "resolution" the right term?) to process the amplified signal without clipping.Nothing. You are simply following the 4-step logic from my post above that technically matches your OP proposal (with the above caveat). The result is correct with the assumption in my step #1 that the amplifier does not clip.OK -- what am I doing wrong?