Q$4$a$.$ Design an average filter of consecutive five input samples using block processing outlining its recursive or non$-$ recursive nature.

$($Marks:$02)$

b$.$ #$y(n)={\displaystyle \underset{k=-}{\overset{}{}}}x(n-k)u(n),$ develop sample processing algorithm of the filter using constant coefficient difference equation and direct form of realization.

$($Marks:$03)$