We want to sample the 2-D continuous signal f(x,y)=exp{-\(pi(x^{2}+y^{2})\)} by means of a rectangular sampling scheme to obtain 1.5 samples per millimeter. Determine the PSF h(x,y) of an ideal low pass anti aliasing filter with the maximum possible frequency content. What percentage of spectrum energyof f(x,y) is preserved by this filter? In practice can we sample f(x,y) alias free without using an anti aliasing filter?