What is the impulse response of this filter, Electrical Engineering

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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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