GATE 2022 : Signals and Systems Quiz 5

x(t) and X(ω) forms a Fourier transform pair. If X(ω) is given by ,

Then energy of the signal x(t) will be _______unit.

Consider Fourier transform of x(t) as K/jω. The value of K if x(t) = 2u(t) – 2u(–t).

If x(t) = then x(ω) at ω = 2 will be _____.

Consider a signal,  The value of

[Where X(ω) is the Fourier Transform of x(t)]

Let the fourier transform of a signal x(t) be X(jω).

Then the value of X(0) is ______.

If Fourier Transform of x(t) in f is given by x(f), then what will be the inverse fourier transform of x(3f+2).