Geometric sequence

Transfer function of the 1-D box filter

Prove Equation (11.12) for the transfer function of the 1-D box filter. (Hint: there are at least to ways to do this. One is to write the transfer function that it can be seen as a geometric sequence (1++ +. ..+with the sum  (− 1)/(q − 1). The other solution is based on the recursive computation of the box filter given by Eq. (11.15).)

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