Howtosignalprocessing
The Region of Convergence is the area in the pole/zero plot of the transfer function in which the function exists. For purposes of useful filter design, we prefer to work with rational functions, which can be described by two polynomials, one each for determining the poles and the zeros, respectively.
- What is ROC and its properties?
- What is the significance of ROC?
- What is region of convergence in s-plane?
- What is region of convergence ROC in z-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 significance of ROC?
The term ROC stands for Receiver Operating Characteristic. ROC curves were first employed in the study of discriminator systems for the detection of radio signals in the presence of noise in the 1940s, following the attack on Pearl Harbor.
What is region of convergence in s-plane?
What is Region of Convergence? 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.
What is region of convergence ROC in z-transform?
The set of points in z-plane for which the Z-transform of a discrete-time sequence x(n), i.e., X(z) converges is called the region of convergence (ROC) of X(z).
