Let an ideal 2-D lowpass filter H(k, l) is defined between the limits {-4,-3, -2,-1,0,1,2,3} in

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(i) For $r=1$, the filter coefficients can be calculated as follows:

First, we need to find the

Let an ideal 2-D lowpass filter $H(k, l)$ is defined between the limits $\{-4,-3$, $-2,-1,0,1,2,3\}$ in both the directions. Find the filter coefficients for a given cutoff radius $r$ such that $H(k, l)=1$ inside the circle defined by $r$ and zero elsewhere. (i) $r=1$ (ii) $r=2$ (iii) $r=3$