Howtosignalprocessing
- How do you determine stability from ROC?
- What do you understand by region of convergence ROC give an example?
- How do you check stability in Z-transform?
- Which of the following ROCs correspond to a stable system?
How do you determine stability from ROC?
For a system to be causal, all poles of its transfer function must be right half of s-plane. A system is said to be stable when all poles of its transfer function lay on the left half of s-plane. A system is said to be unstable when at least one pole of its transfer function is shifted to the right half of s-plane.
What do you understand by region of convergence ROC give an example?
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 check stability in Z-transform?
ondition of stability is Z-domain is, [H(Z) < ∞ when evaluated on unit circle. Equation (3.7. 6) gives the condition of stability in Z domain. This condition requires that, unit circle must be present in the ROC of H(Z).
Which of the following ROCs correspond to a stable system?
But only one of those ROCs includes the unit circle, and that's the ROC corresponding to a stable system.
