i) For a 3 term averagin filter, write a difference eqatuon governing the filter and dervie the corresponding z transform Sketch a pole zero plot, would this filter be stable, why or why not?

ii)Sketch the frequency resoponce and explain where the peaks and nulls occur

iii)Exten d the above to an N-term averging filter write a difference equation and derive the ztransform in closed form Indicatate were the pole and zeros would fall for Larger N, and then sketch the frequency response for a similarlary large N