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GATE 2023 Signals & Systems Quiz 24

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Question 1Multiple Correct Options

Consider the following stable LTI systems

(i)

(ii)

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

Question 2

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:

Question 3

Total energy of signal is

Question 4

Given the z-transform X(Z)

=, the value of x [] is _________.

Question 5Multiple Correct Options

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]

Question 6

Consider a system whose input x[n] and output y[n] are related by

y (n – 1) + 2y (n) = x (n)

The output of the system is y (n) when

X(n) =  and y (–1) = 2 then y (1) = ________

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Sep 15ESE & GATE EE