engineering recuitment GATE ECE 2023-24 Test Series Signals and Systems Z Transform Region of Convergence of a Stable System
For an LTI system with rational transfer function H(z), which of the following statements is/are true?
1
The system will be causal if the ROC is the exterior of a circle outside the outermost pole
2
The system will be stable if the ROC of H(z) includes the unit circle |z| = 1
3
A causal system is stable if all the poles of H(z) lie inside the unit circle.
4
None of the above statements is correct.