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GATE 2025 Signals & Systems Foundation Quiz 29

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Question 1

Determine DTFT for given signal

x(n) = {–4, –1, 0, 1, 4} origin at 0

Question 2

We have

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

Question 3

What is the 4-point DFT of signal

Question 4

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

Question 5

A continuous time periodic signal x(t) is real valued and has a fundamental period T = 8 and exponential Fourier series coefficients are x₁ = x_–1 = 2; x₃ = x_–3^* = 4j, then the signal x(t) is

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ESE & GATE EC Signals and Systems

Jan 11ESE & GATE EC