GATE 2025 Signals & Systems Quiz 24

Consider the following stable LTI systems

(i)

(ii)

Which of the following options are correct?
[Multi Select Question]

Let h(n) = δ(n) – 0.4(0.5)ⁿu(n) be the impulse response of a LTI system. The differential equation associated with above system is:

Total energy of signal is

Given the z-transform X(Z)

=, the value of x [∞] is _________.

The transfer function of a discrete time LTI system is given by

Which one of the following statements are true in the given option: [Multi Select Question]