engineering recuitment ISRO Scientist Electronics Mock Test Communication Systems Noise in Analog Communication System Noise in Amplitude Modulation Systems
The complex envelope of the band pass signal \(x\left( t \right) = \left( {\frac{{\sin \left( {5\pi t} \right)}}{{\pi t}}} \right)\cos \left( {\pi t - \frac{\pi }{4}} \right)\) centered about \(f = \frac{1}{2}Hz\) is _________
1
\(\frac{{\sin \left( {5\pi t} \right)}}{{\pi t}}{e^{\frac{{j\pi }}{4}}}\)
2
\(\frac{{\sin \left( {5\pi t} \right)}}{{\pi t}}{e^{ - \frac{{j\pi }}{4}}}\)
3
\(\frac{{\cos \left( {5\pi t} \right)}}{{\pi t}}{e^{\frac{{j\pi }}{4}}}\)
4
\(\frac{{\cos \left( {5\pi t} \right)}}{{\pi t}}{e^{ - \frac{{j\pi }}{4}}}\)