3. Assume that we have a CCD camera system that is cooled so that noise due to dark current is negligible. Then digitized pixel values will be given by D = (S+NA+NP) A+ No (1) where S is the signal in electrons, N₁ is the zero-mean amplifier noise source with variance 2, Np is the zero-mean photon noise with variance S, A is the gain of the amplifier, and No is the zero-mean quantization noise with variance o2. Assume that the noise sources are independent. a) Show that for a constant signal level S the expected value of D is μ = SA and the variance of D is given by where o=Aμ + o² o=A²0² +0₂ (2) (3) (4)

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