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# GATE EC 2022: Signals & Systems Quiz 8

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Question 1

Find out Energy of x(t)

Question 2

Determine DTFT for given signal

x(n) = {–4, –1, 0, 1, 4} origin at 0

Question 3

The Laplace transform of a signal x(t) is

The signal x(t) = (te^{kt})^{2} U(t), where constant k is

Question 4

The Nyquist rate of is ?

Question 5

We have

If H(z) is system function of LTI system and system is stable then h(0) is given by______

Question 6

Find the cosine representation Fourier series for the signal shown in figure.

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Jul 1ESE & GATE EC

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