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GATE 2023 Signal & System 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

A filter H(Z) =  is designed to have steady state response of 0 if input is cosnπ and steady state response of unity if input is u(n). Find K and

Question 4

What is the 4-point DFT of signal  ?

Question 5

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

Question 6

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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May 26ESE & GATE EC