| \(x\left ( t\right ) \) | \(X\left ( f\right ) \) |
| \(\sin \left ( 2\pi f_{c}t\right ) \) | \(\frac {1}{2j}\left [ \delta \left ( f-f_{c}\right ) -\delta \left ( f+f_{c}\right ) \right ] \) |
| \(\cos \left ( 2\pi f_{c}t\right ) \) | \(\frac {1}{2}\left [ \delta \left ( f-f_{c}\right ) +\delta \left ( f+f_{c}\right ) \right ] \) |
| \(\cos \left ( 2\pi f_{c}t+\theta \right ) \) | \(\frac {1}{2}\left [ e^{j\theta }\delta \left ( f-f_{c}\right ) +e^{-j\theta }\delta \left ( f+f_{c}\right ) \right ] \) |
| \(\sin \left ( 2\pi f_{c}t+\theta \right ) \) | \(\frac {1}{2}\left [ e^{j\theta }\delta \left ( f-f_{c}\right ) -e^{-j\theta }\delta \left ( f+f_{c}\right ) \right ] \) |