Howtosignalprocessing
Region of convergence. The region of convergence (ROC) is the set of points in the complex plane for which the Z-transform summation converges.
- What is ROC and its properties?
- What is the importance of ROC of z-transform?
- What is ROC of z-transform Mcq?
- What is meant by ROC in Laplace transform?
What is ROC and its properties?
Properties of ROC of Laplace Transform
ROC contains strip lines parallel to jω axis in s-plane. If x(t) is absolutely integral and it is of finite duration, then ROC is entire s-plane. If x(t) is a right sided sequence then ROC : Res > σo. If x(t) is a left sided sequence then ROC : Res < σo.
What is the importance of ROC of z-transform?
Significance of ROC: ROC gives an idea about values of z for which Z-transform can be calculated. ROC can be used to determine causality of the system. ROC can be used to determine stability of the system.
What is ROC of z-transform Mcq?
Z Transform Question 4 Detailed Solution
ROC (Region of Convergence) defines the set of all values of z for which X(z) attains a finite value. ROC is the set of values of z for which the sequence x(n) z-n is absolutely summable, ie., ∑ n = − ∞ ∞
What is meant by ROC in Laplace transform?
Region of Convergence (ROC) is defined as the set of points in s-plane for which the Laplace transform of a function x(t) converges. In other words, the range of Re(s) (i.e.,σ) for which the function X(s) converges is called the region of convergence.
