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Fourier Transform Achievers Practice Quiz -2

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Question 1

The signal x(t) is described by
 
Two of the angular frequencies at which its Fourier transform becomes zero are

Question 2

The energy of the signal is_______.

Question 3

A function f(t) is shown in the figure.

The Fourier transform of is

Question 4

Consider a continuous-time signal x(t) defined by x(t) = 0 for |t| > 1, and x(t) = 1 – |t| for |t| ≤ Let the Fourier transform of x(t) be defined as The maximum magnitude of X(ω) is ________.

Question 5

The inverse fourier transform of

Question 6

Let x (t) = rect (where rect (x) = 1 for and zero otherwise). Then if sinc(x) =, the Fourier Transform of x (t) + x (–t) will be given by

Question 7

The Fourier transform of a signal h(t) is H(jω) = (2cosω)(sin2ω)/ω. The value of h(0) is
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Sep 22ESE & GATE EE