Originally posted by stevebrot
I don't see how that works.
1:1 is always 1:1 and pixel dimensions are always pixel dimensions. A 24Mpx FF capture from a Sony A7III is viewed at the same frame magnification as a 24Mpx APS-C capture from a Pentax KP.1 Direct evaluation of per frame noise should be appropriate with no correction for format. Interestingly, such is also an evaluation per pixel. Since noise is expressed by pixels (they either record noise or signal and not both), is would seem that per pixel evaluation would be more valid. It should be obvious that we are always evaluating per pixel.2
Coming from the perspective of pixel density and per pixel evaluation, the K-1ii at FF has the same pixel density as the K-1ii in crop mode, just more pixels. Per pixel evaluation would show the two as equivalent, but per frame is problematic due to the crop frame having less pixels overall. The absolute amount of noise in the FF frame will always be higher. One could normalize by random sampling of the FF version or simply evaluate per pixel.
The matter of per frame pixel resolution and noise can be problematic. When the K-3 first hit the market many K-5 owners countered its higher resolution by shouting, "the noise, the noise, what about the noise?". Some reviewers responded by downsampling the K-3 images to 16Mpx for comparison. Of course, the noise disappeared with the extra resolution, with the matter of original per pixel noise being swept under the rug.
So...why downrate APS-C sensors based on frame dimensions?
There seems to be many variables to complicate matters when trying to compare and explain noise and SNR between APS-C vs. FF sensors. I'm thinking much of it comes down to the physical
pixel size itself when all other things are approximately equal.
Suppose we have two sensors with the same # of pixels which are
designed in a similar manner, only one has a smaller
sensor size(APS-C) than the other(FF). An optimized design would result in the individual
pixel size on the APS-C being smaller to pack in the same # of pixel as those on the FF sensor that would have a larger
pixel size to optimize usage of extra area of the larger
sensor size.
Using similar on-chip and external IP electronics constructed and shielded in a similar manner could reasonably presume for sake of argument to generate similar noise levels. Having said that, then the individual
pixel size on the two different sensors would determine the amount of
optical signal(
photons) received with the APS-C pixels being less compard to the
optical signal(
photons) received by the FF pixels by a ratio of the area of their respective
pixel sizes when the same exposure it given to each sensor:
(APS-C pixel area) / (FF pixel area)
As a result it's deterministic that the SNR of the APS-C sensor would be reduced at least by the above pixel area ratio. However, you must factor in the
derated ISO of the smaller pixel size capturing less light on an APS-C vs. FF that requires a
higher gain on the APS-C sensor electronics in order to create the same ISO rating as the FF sensor. This adds additional noise based on the performance of the on-chip electronics.
In this case, the above is a couple of reasons why you would conceivably downrate an APS-C vs. FF sensor when the picture frame dimensions are the same due to the additional noise inherent in the APS-C sensor.

At lower ISO levels the difference may not be very noticeable, but (again, all things being equal) as the ISO is increased the differences become more quickly noticeable. i.e. although not exactly identical, look at the high ISO performance of small-sensor compact digicams vs. larger-sensor DSLRs having the same megapixel count.
Last edited by BB_Zone28; 11-21-2020 at 02:22 PM.