Region of convergence of transfer function

1. How do you find the region of convergence of a transfer function?
2. What is the region of convergence?
3. How do you find the ROC of a transfer function?
4. What is region of convergence for Z transform?

How do you find the region of convergence of a transfer function?

Perhaps the best way to look at the region of convergence is to view it in the s-plane. What we observe is that for a single pole, the region of convergence lies to the right of it for causal signals and to the left for anti-causal signals.

What is the region of convergence?

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.

How do you find the ROC of a transfer function?

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 > σ_o. If x(t) is a left sided sequence then ROC : Res < σ_o. If x(t) is a two sided sequence then ROC is the combination of two regions.

What is region of convergence for Z transform?

Region of convergence. The region of convergence (ROC) is the set of points in the complex plane for which the Z-transform summation converges.