Question $($Relationship between $"$s$-$domain" and $"$z$-$domain"$)($Draw both by hand and Matlab m$-$file $)$:

In figure $1,$ constant damping ration curve, constant frequency curve and constant time constants are given. Draw

the equivalents of given curves in z$-$domain by hand and also via Matlab. $(T_s=0\mathrm{.}3sec)$

$($b$)$

$($c$)$

$($d$)$

Figure $1.$ Fundamental curves in s$-$domain.

a$)$ Find and draw the z$-$plane equivalent of the given curves in s$-$domain illustrated in Figure $1$ by taking

$T_s=0\mathrm{.}3sec$

b$)$ Write an $m-$file code in Matlab to obtain and draw $z-$domain equivalent of given curves in s$-$domain