Compute the 2-D Discrete Space Fourier Transform (, ).of the following filters by hand, then plot the magnitude of the filter on frequency domain, and comment on how the filter behaves in frequency (whether it's lowpass, highpass , bandpass or bandreject filter). You should examine directional sensitivity, i.e. a filter may be low-pass in one direction and different in another. 1) Average Filter (, ) = 1 9 [ 1 1 1 1 1 1 1 1 1 ] 2) Central-Difference Filters