J. C. O'Connell wrote:
SYSTEMRESOLUTION (overall)= SensorResolution X LensResolution /
(SensorResolution + LensResolution)

Sometimes it is shown as:

1/SYSTEMRESOLUTION (overall) = 1/SensorResolution + 1/LensResolution

Speaking as a physicist, that formula looks wrong to me.


I believe that the problem is equivalent to combining two sources of error on a single measurement, which is a very common occurrence in physics. The correct method of calculating the combined error is to add the individual errors *in quadrature*:

(1/SYSTEMRESOLUTION)^2 = (1/SensorResolution)^2 + (1/LensResolution)^2

So, if the lens and sensor both have an individual resolution of 50 lppm, you ought to get a combined resolution of 1/sqrt((1/50)^2+(1/50)^2), which equals 35 lppm.

S



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