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# GATE 2024 signals and systems Rank Booster Quiz 24

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Question 1

The Fourier transform  of the signal  is ______.

Question 2

If X(jω) is Fourier Transform of real and non negative signal x(t) and we are given with facts that F–1{(1 + jω) X(jω)} = Ke–2t u(t), where K is a positive constant and

The signal x(t) is

Question 3

Fourier transforms of x(t) is X(jω).x(t) is represented by following figure,

Which of the following is not true for X(jω).

Question 4

Find the value of Fourier transform of a signal x(t) shown in figure below at a frequency of rad/sec.?

Question 5

The response of the system at n = 1 for  to the input sequence  is

Question 6

For an LTI system the input x(t) and impulse response h(t) are shown in figure.

Find the output of the system y(t) = x(t)*h(t). The output observed at t = 3 seconds is

Question 7Multiple Correct Options

A system generates following responses for considered inputs.

1)

2)

3)

The above system can be

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