Howtosignalprocessing
- What is a left sided sequence?
- What is right sided and left sided signal?
- What is ROC in Laplace?
- What is ROC and its properties?
What is a left sided sequence?
A left-sided sequence is a sequence where x[n]=0 for n>n2>−∞.
What is right sided and left sided signal?
We say that a signal x[n] is right-sided if there exists an integer N1 such that x[n] = 0 only for N1 ≤ n. The signal x[n] is left-sided if there exists an integer N2 such that x[n] = 0 only for n ≤ N2. If x[n] is of infinite duration and it is neither right-sided nor left-sided, then it is two-sided.
What is ROC in Laplace?
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.
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.
