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Consider the filter h[n,m] describing the input-output relationship below:
g[n,m]=f[n-1,m]+ f[n,m-1]+ f[n+1,m]+ f[n,m+1]
a) What is the impulse response of this filter?
b) Derive its Fourier Transform and sketch its magnitude and phase spectrum.
c) What type of a filter is this? Justify your answer.
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