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For this problem I will not be using the above equation but in stead be using duality. | For this problem I will not be using the above equation but in stead be using duality. | ||
| − | <math>x(t) = \cos</math> | + | |
| + | <math>x(t) = \cos(4 t + \frac{\pi}{3})</math> | ||
| + | |||
| + | |||
| + | note | ||
| + | <math>x(t) = a_k e^{j k \omega_o t}</math> | ||
Revision as of 11:14, 8 October 2008
The Signal
$ X(j \omega) = \cos(4 \omega + \frac{\pi}{3}) $
Taken from 4.22.b from the course book, it looks interesting and I want to try it.
The Inverse Fourier Transform
$ x(t)=\frac{1}{2\pi}\int_{-\infty}^{\infty}X(j \omega)e^{j\omega t}d\omega $
For this problem I will not be using the above equation but in stead be using duality.
$ x(t) = \cos(4 t + \frac{\pi}{3}) $
note
$ x(t) = a_k e^{j k \omega_o t} $
