GATE 2024 signals and systems Rank Booster Quiz 24

The Fourier transform  of the signal  is ______.

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

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).

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

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

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

A system generates following responses for considered inputs.

1)

2)

3)  

The above system can be