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GATE 2024 Signal & System Foundation Quiz 33

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Question 1

Suppose we are given the following information about a signal x[n].

1) x[n] is a real and then signal.

2) x[n] has period N = 10 and Fourier coefficient aK.

3) a11 = 5

4)

Let x(n) = A cos (Bn + C). Then find the value of A + B + C =

Question 2

A continuous time signal x(t) is given by

Fourier transform of signal x(t) is given by

Question 3

The impulse response of a linear time-invariant system is a rectangular pulse of duration T. It is excited by an input of a pulse of duration T. What is the filter output waveform?

Question 4

If X(z) is the Z-transform of a signal x[n]

Find the final value of x[n].

Question 5

The DFT of a real values signal x[n] is given as {4, 1 + 2j, 2 – 2j, 3 + j, –3, 3 – j, 2 + 2j, 1 – 2j}

Then the value of is______.

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Apr 14ESE & GATE EC