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GATE EC 2022: Signals & Systems Quiz 5

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Question 1

Find the Fourier transform of x(t) =

Question 2

The Fourier transform ofis

Question 3

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 4

If the Fourier transform of a certain function f(t) is:

Determine the Fourier transform of the given function:

Question 5

Consider a continuous time signal x(t) whose Fourier transform is
[Where u(ω) is unit step signal]
The signal x(t) is

Question 6

The Fourier transform (F.T.) of 25*sinc[10(t-2)] will be
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Sep 30ESE & GATE EC