What is the minimum sampling rate, Electrical Engineering

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Q. The magnitude spectrum of a continuous  image is as given below. 

a) Sketch the frequency response of the sampled spectrum if   ωs =1.5 ωm along x and 3ωm along  y directions in the figure below.

b) What is the minimum sampling rate along x and y to avoid aliasing ?

c) Do you believe this is the most efficient sampling scheme? Why or why not? If you were to select a more efficient sampling scheme in what ways would it make the sampling more complicated?

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