engineering recuitment GATE IN Test Series 2023-24 Mock Test Signals and Systems Laplace Transform ROC of Causal Signals
Which of the following statements is/are true regarding ROC of signals?
1
If two signals x1(t) and x2(t) with ROC 'R1' and 'R2' Respectively are added then the ROC of the resultant signal is (R1 U R2).
2
Time differentiation and time-shifting of a signal will not change the ROC of that signal.
3
If x(n) is a finite duration sequence, then the ROC is the entire z-plane except possibly z = 0 or z = ∞.
4
If x(n) is a right-sided sequence, ROC extends inward from the innermost non-zero poles in x(z) to z = 0.