Howtosignalprocessing
- What will be the ROC of z-transform?
- What is the significance of ROC in z-transform?
- How many Poles can Roc of z-transform contain?
- What is the z-transform and ROC of causal signal?
What will be the ROC of z-transform?
The ROC of the Z-transform is a ring or disc in the z-plane centred at the origin. The ROC of the Z-transform cannot contain any poles. The ROC of Z-transform of an LTI stable system contains the unit circle.
What is the significance of ROC in z-transform?
The region of convergence (ROC) is the set of points in the complex plane for which the Z-transform summation converges.
How many Poles can Roc of z-transform contain?
The ROC cannot contain any poles. If x[n] is finite duration (ie. zero except on finite interval −∞ < N1 ≤ n ≤ N2 < ∞), then the ROC is the entire z-plane except perhaps at z = 0 or z = ∞. If x[n] is a right-sided sequence then the ROC extends outward from the outermost finite pole to infinity.
What is the z-transform and ROC of causal signal?
Z -Transform for Causal System
Causal system can be defined as h(n)=0,n<0. For causal system, ROC will be outside the circle in Z-plane. H(Z)=∞∑n=0h(n)Z−n. Expanding the above equation, H(Z)=h(0)+h(1)Z−1+h(2)Z−2+.........
