engineering recuitment GATE IN Test Series 2023-24 Mock Test Signals and Systems Fourier Transform Properties of Fourier Transform
Consider the real signals shown below.
1)
2)
3)
4)
Which of the following statements is/are true?
1
The signal that satisfies Re{X(jω)} = 0 is (1).
2
The signal that satisfies Im{X(jω)} = 0 is (2) and (4).
3
All the signal satisfies \(\mathop \smallint \nolimits_{ - \infty }^\infty X\left( {j\omega } \right)d\omega = 0\)
4
The signals that satisfy \(\mathop \smallint \nolimits_{ - \infty }^\infty \omega \;X\left( {j\omega } \right)d\omega = 0\) is (1) and (4).