Question: Matlab problem. Consider a linear shift-invariant system with pointspread function defined as h(x,y)=rect(x/A)rect(y/B),whererect(x)={1,0,x21x>21 a. Analytically find the transfer function H(u,v), the two-dimensional Fourier transform of

Matlab problem. Consider a linear shift-invariant system with pointspread function defined

Matlab problem. Consider a linear shift-invariant system with pointspread function defined as h(x,y)=rect(x/A)rect(y/B),whererect(x)={1,0,x21x>21 a. Analytically find the transfer function H(u,v), the two-dimensional Fourier transform of the PSF. b. Write a Matlab program, with an appropriate sampling grid to represent h(x,y) and plot it. This is a boring rectangle image. Choose values of A and B for this plot. c. Compute the two-dimensional Fourier transform in Matlab using "fft2." Plot the magnitude and the phase in separate plots

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