Consider the system shown in Figure P3.1, in which an image f (x, y) is corrupted wi...

Consider the system shown in Figure P3.1, in which an image f (x, y) is corrupted with zero mean white noise. The corrupted image is input to a system with PSF to get an output image g(x, y).

(a) What are the mean and variance of the noise in the output g(x, y)?

(b) What are the power SNR for the input and output images of the system?

(c) If the system does not change f (x, y) in any way, under what condition(s) wills the system improve the SNR?