engineering recuitment GATE ECE 2023-24 Test Series Signals and Systems Fourier Transform Properties of Fourier Transform
The spectrum of x(t) is shown in the figure.
Which of the following statement(s) is / are true?
1
\(x\left( t \right) = \frac{1}{\pi } + \frac{1}{{2\pi }}\cos ({\omega _0}t) + \frac{2}{\pi }\cos \left( {3{\omega _0}t} \right)\)
2
\(x\left( t \right) = 1 + \cos \left( {{\omega _0}t} \right) + 2\cos \left( {3{\omega _0}t} \right)\)
3
Signal x(t) is real and even
4
Signal x(t) is complex and even