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A finite impulse response $($FIR$)$ filter is characterized by the following sequence:

$h[n]=\{9,-7,6,-5,8,5,-6,7,-9\}$

Based on this sequence, develop the realization of this filter:

$($a$).$ By drawing the direct form block diagram.

$($b$).$ By finding the transpose structure of the answer from part $($a$).$

$($c$).$ By generating a three$-$branch polyphase realization.

$($d$).$ By drawing a structure that considers the anti$-$symmetric property of the impulse response.