Consider an LSI medical imaging system with PSF given by h(x, y) = (1/ 2) e (x2+y2 )/2) (a) Calculate the MTF associated with this

Consider an LSI medical imaging system with PSF given by h(x, y) = (1/ 2π) e −(x2+y2 )/2)

(a) Calculate the MTF associated with this system.

(b) Plot the MTF as a function of frequency.

(c) If a sinusoidal object f(x, y) = 2 + sin(πx) is imaged through the system, what is the percentage change in modulation caused by this system? 

(d) Calculate the LSF associated with this system.

(e) What is the FWHM associated with this system?