More intuition on zT-LT, S-plane-z-plane relationship jw axis in s-plane(s= jw)+2=ejw'l a unit circle in z-plane gn jo-axis z|=1 S-plane Z-plane e LHP RHP " RHPW LHP in s-plane, Re(s)<0===es <l, inside the ==1 circle Special case, Re(s)=-00==0 RHP in s-plane, Res)>0===es> l, outside the = 1 circle Special case,Re(s)=+∞分|=∞ A vertical line in s-plane, Re(s)=constant oes/=constant, a circle in z-planeMore intuition on zT-LT, s-plane - z-plane relationship • LHP in s-plane, Re(s) < 0 ⇒ |z| = | esT| < 1, inside the |z| = 1 circle. Special case, Re(s) = -∞ ⇔ |z| = 0. • RHP in s-plane, Re(s) > 0 ⇒ |z| = | esT| > 1, outside the |z| = 1 circle. Special case, Re(s) = +∞ ⇔ |z| = ∞. • A vertical line in s-plane, Re(s) = constant ⇔ | esT| = constant, a circle in z-plane