bclaff
Forum Pro
I'm saying this doesn't matter. It's a mind exercise and little else.It is not a confusion per se. It is a requirement imposed by your own equation, which I have written below in a slightly modified form:It doesn't seem that I am going to be able to lead you out of your confusion.Bill, I don't discount your data and your measurements. However, I have a conundrum and please help me out here.It's not a hypothetical exercise. PDR has been measured for over 230 cameras and those are the measurements that matter. You can attempt to correlate it with whatever you like; but that isn't the purpose of the measurement and it doesn't add clarity to what PDR is.
On one hand your measurements suggest that PDR has no dependence on pixel size. However, on the other hand, as I have said a number of times, that can make sense only if CoC_Areas --> Single_Pixel_Area gains are exactly cancelled by more noisy-ness of smaller pixels. And, that implies a scaling of read noise of pixel areas. However, Prof. Fossum (quoted earlier) and some other experts maintain that read noise may not necessarily scale with pixel size shrinkage.
So there is a disconnect or discrepancy.
How to resolve that?
For one thing it would appear that you might be operating in a range on SNR curve that photon shot noise could tend to be dominant over read noise. And, photon shot noise would scale with pixel size. Perhaps, that possibly offers an outward solution to this situation that makes the conundrum go away. But, does that mean then that PDR would effectively be a measure of photon noise - and little dependence on read noise?
If PDR is a more realistic measure than EDR then how are optical nuisances such as flare / glare incorporated? That could be a different line of reasoning but still important regarding the merits of PDR vis a vis what is the relationship of flare / glare to CoC size and how that gets affected by reduction CoC_Area --> Single_Pixel_Area?it doesn't add clarity to what PDR is.
(Coc_Area --> Single_pixel_Area_gain) * raw_SNR_per_pixel = 20 PDR_per_pixel.
In order for the RHS of the above equation to stay balanced at 20, any change in Coc_Area --> Single_pixel_Area_gain must be undone by the corresponding change in SNR_per_pixel.
At this stage it appears to me that only two conditions, in isolation or conjunction, would do that:
Experts, such as Prof. Fossum, don't necessarily agree with 1. That leaves us with 2. But, you don't think that 2 is happening. I guess that means that the only choice left is 1. But, then it might put you at odds with experts. I shall let you sort that out with them.
- Pixel read noise scales with pixel size. And / or,
- We are operating in photon shot noise dominated regime.
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The results are the results.
It does appear that pixel noise does approximately scale and even thought the measure is not photon noise dominated it is pretty pixel size independent.
You're also disregarding that, particularly at low ISO settings, PDR is a measurement of downstream noise such as from the Analog to Digital Converter (ADC), and that is independent of pixel size.
This is why on chip ADC and off chip ADC have differently shaped PDR curves .

Not my "estimation" but an objective statement given where PDR is on the Photon Transfer Curve (PTC); here it is for the D300 , the camera in that write-up:I think we should revisit 2 above. Your own worked example shows a raw_SNR_per_pixel = 5.64. Is that near 'intersection of read noise and photon noise', in your estimation?For example, if you had looked at the PTCs I referenced earlier you'd know that PDR is generally near the intersection of read noise and photon noise; definitely not photon noise dominated.

The red line indicates where the Read Noise dominated region ends and the Photon Noise region begins; they don't switch instantly, it is a transition.
The black dot, PDR, is not far from that transition.
Note that PDR falls on the blue SNR = 5.64 line (log2 is 2.49).
For fun I added a red dot where DxOMark Landscape score is located.
This is solidly in the Read Noise region and a good reason not to consider it a useful photographic measure.
I didn't know we were arguing ... so I do agree.BTW, we should be celebrating new year instead of arguing about PDR.![]()
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Bill ( Your trusted source for independent sensor data at PhotonsToPhotos )