Related Questions

What is the ROC of z-transform of finite duration anti-causal sequence?
What is the ROC of z-transform of an two sided infinite sequence?
Assertion (A): The stability of the system is assured if the ROC includes the unit circle in z-plane. Reason (R): For a causal stable system all the poles should be outside the unit circle in the z-plane.
Assertion (A): For the rational transfer function H(z) to be causal, stable and causally invertible, both the zeroes and the poles should lie within the unit circle in the z-plane. Reason (R): For a rational system, ROC is bounded by poles
Consider two infinite duration input sequences {x1[n], x2[n]}. When will the Region of Convergence [ROC] of Z-transform of their superposition i.e. {x1[n] + x2[n]} be entire Z plane except possibly at Z = 0 or Z = ∞ ?