Problem $2.(40$ points$)$ Consider the sequence x$[$n$]=($n$]-/$n$-2)$ anddefine yn$]=$ x$|-].$a$)$ Determine the z$-$transform X $($z$)$ of x$|$n$],$ and the z$-$transform Y $($z$)$ of yin$\}.$b$)$ Calculate W$($z$)=$ X $($z$)$Y $($z$).$c$)$ Calculate the linear convolution wn$]=$ x$/$n$*$ y$/$n$.$d$)$ Determine the $4-$point circular convolution between xn$]$ and y$|$n$).$ Compare the result obtained with that at point c$).$e$)$ Determine the $4-$point DFTs X $[$k$]$ and Y $[$k$]$ of xn$]$ and yin$],$ respectively.Justify all your answers.Solution: