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)

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)

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Question

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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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