the small detectors? Explain. PSFs given by h1(x)=rect(2x)h2(x)=ex2 (a) Calculate the full width half maximum of each system. Which has better spatial resolution? (b) Calculate the MTF of each system. You wish to image the following signal f(x)=cos(4x) with each system. Let g1(x) be the output of system 1 when f(x) is the input, and let g2(x) be the output of system 2 when f(x) is the input. (c) Calculate g1(x) and g2(x). Which system should you use to image this signal? Hint: you should not have to calculate any convolution integrals. (d) What is the largest sampling interval you can use to sample g1(x) and g2(x) such that you do not introduce distortion through aliasing