Noise is integrated into each pixel capacity. Commonly used thermal noise model is: k.T/C , k boltzmann constant, T temperature in kelvin, C = well capacity. For long exposures, pixel specific dark current leakage (that's why dark frame substract works for long exposure, for short exposures dark frame substract add noise due the random nature of the noise). Back to k.T/C , as pixel size inceases, the current source (from photon conversion) charges a capacity (designed by cell designer), sensitivity depends on both light sensitive area and capacity value. So we can have a large pixel with small "well" capacity, or a small pixel with large "well" capacity. It's a design decision. For a constant cell sensitivity value, larger pixels needs a larger capacity. At the same temperature of the sensor, larger capacity lead to lower noise. Cooling down the sensor reduces noise. For example, some imagers used for military, aerospace or x-ray medical imaging have pixels 10 x times larger than what you have on your Pentax camera, lower ISO, and the sensor is sealed into a cavity that is cooled down to -170C, so that to achieve much lower noise levels.
Back to camera sensors, unlike what Falk wrote in his blog, adding 4 small pixels (of 1/4th the size of a large pixel) does not provide a 6dB higher signal to noise ratio versus 1 large pixel, simply because if you have 4 times the signal of the smaller pixels, you don't have 2 times the noise (Falk statement) , you also have 4 times the noise because the capacity units of each smaller pixel are also smaller.
Then there is the read noise, which, when there is zero signal (black) is higher than thermal noise, but as soon as there is some signal (fine gradation of shade in a real photo), the shot noise rapidely becomes more significant than read noise. And of course, this is what we see on images, worldwide: for equivalent techno, smaller pixels create more noise on images, less DR per pixel.
In short, for same iso, larger pixels provide more DR and less high iso noise , larger sensors provide with smaller or larger pixels, deliver more IQ and DR. No need to align one page of mathematical equations to look smart to demonstrate with utter arrogance the opposite of reality.
Last edited by biz-engineer; 08-04-2015 at 08:25 AM.
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