The z$-$transform of the sequence x$($n$)=$ u$($n$)$ u$($n $7)$ is sampled at five points on the unit circle as follows: X$($k$)=$ X$($z$)|$z$=$ej$2$k$/5,$ k $=0,1,2,3,4$ Determine the inverse DFT x$($n$)$ of X$($k$).$ Compare it with x$($n$)$ and explain the results. Note. It would help if you computed the z$-$transform of x$($n$),$ evaluate X$($z$)$ with z $=$ ej$2$k$/5,$ then calculate the inverse DFT of the evaluated signal X$($k$),$ and compare the resulting x$($n$)$ with the original signal x$($n$).$ hand written please