Consider a 5-pixel filter that computes the average of, Dissertation

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Consider a 5-pixel filter that computes the average of

Question - Consider a 5-pixel filter that computes the average of pixel (x, y) and its 4-neighbors.

(a) What is the impulse response of this filter?

(b) Find the equivalent filter H(u, v) in the frequency domain.

(c) Show that your result is a low-pass filter. In particular, plot |H(u, v)|. You might want to use MatLab to make this plot.

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