I need the full answer please,, all the answers are for step 1 only

I need the full answer please,, all the answers are for step 1 only

I need the full answer please,, all the answers are for step 1 only

1. Given the 2-dimensional image f(x,y)=[1321], compute the DFT (Discrete Fourier Transform) F(u,v). (4pts) 2. Given H(u,v)=[0111]. Without zero padding, compute the inverse DFT of H(u,v)F(u,v), where F(u,v) is given in part 1. (3pts) 3. Is the answer from part 2 equivalent to linear 2-dimensional spatial-domain convolution of f(x,y) with h(x,y) (the inverse DFT of H(u,v)) ? If not, specifically describe how linear spatial convolution can be achieved for this example using frequency domain multiplication. Briefly explain. (2pts) 4. What general type of filter is H(u,v) (e.g., spatial lowpass, highpass, bandpass, bandreject)? Briefly justify. (1pt)