Properties of z-transforms (1)Time Shifting on-nol The rationality of X(z)unchanged, different from LT. ROC unchanged except for the possible addition or deletion of the origin or infinity 0→ROCz≠0( maybe n<0→ROCz≠( maybe) dX(z 2)z-Domain Differentiation nrIn] same roc Derivation X()=∑alz-n dX(a) dx ∑ -m-1 X(2 e naIn m=-0·Properties of z-Transforms (1) Time Shifting The rationality of X(z) unchanged, different from LT. ROC unchanged except for the possible addition or deletion of the origin or infinity n o> 0 ⇒ ROC z ≠ 0 (maybe) n o< 0 ⇒ ROC z ≠ ∞ (maybe) (2) z-Domain Differentiation same ROC Derivation: